id	sid	tid	token	lemma	pos
asir-4876	1	1	applied	apply	VERB
asir-4876	1	2	science	science	NOUN
asir-4876	1	3	and	and	CCONJ
asir-4876	1	4	innovative	innovative	ADJ
asir-4876	1	5	research	research	NOUN
asir-4876	1	6	issn	issn	VERB
asir-4876	1	7	2474	2474	NUM
asir-4876	1	8	-	-	SYM
asir-4876	1	9	4972	4972	NUM
asir-4876	1	10	(	(	PUNCT
asir-4876	1	11	print	print	NOUN
asir-4876	1	12	)	)	PUNCT
asir-4876	1	13	issn	issn	VERB
asir-4876	1	14	2474	2474	NUM
asir-4876	1	15	-	-	SYM
asir-4876	1	16	4980	4980	NUM
asir-4876	1	17	(	(	PUNCT
asir-4876	1	18	online	online	ADJ
asir-4876	1	19	)	)	PUNCT
asir-4876	1	20	vol	vol	NOUN
asir-4876	1	21	.	.	PROPN
asir-4876	2	1	6	6	NUM
asir-4876	2	2	,	,	PUNCT
asir-4876	2	3	no	no	INTJ
asir-4876	2	4	.	.	NOUN
asir-4876	2	5	3	3	NUM
asir-4876	2	6	,	,	PUNCT
asir-4876	2	7	2022	2022	NUM
asir-4876	2	8	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	VERB
asir-4876	2	9	1	1	NUM
asir-4876	2	10	original	original	ADJ
asir-4876	2	11	paper	paper	NOUN
asir-4876	2	12	about	about	ADP
asir-4876	2	13	microstrip	microstrip	NOUN
asir-4876	2	14	antennas	antenna	NOUN
asir-4876	2	15	boris	boris	PROPN
asir-4876	2	16	levin1	levin1	PROPN
asir-4876	2	17	1	1	NUM
asir-4876	2	18	lod	lod	PROPN
asir-4876	2	19	,	,	PUNCT
asir-4876	2	20	israel	israel	PROPN
asir-4876	2	21	,	,	PUNCT
asir-4876	2	22	e	e	NOUN
asir-4876	2	23	-	-	NOUN
asir-4876	2	24	mail	mail	NOUN
asir-4876	2	25	:	:	PUNCT
asir-4876	2	26	levinpaker@gmail.com	levinpaker@gmail.com	PROPN
asir-4876	2	27	received	receive	VERB
asir-4876	2	28	:	:	PUNCT
asir-4876	2	29	may	may	AUX
asir-4876	2	30	23	23	NUM
asir-4876	2	31	,	,	PUNCT
asir-4876	2	32	2022	2022	NUM
asir-4876	2	33	accepted	accept	VERB
asir-4876	2	34	:	:	PUNCT
asir-4876	2	35	june	june	PROPN
asir-4876	2	36	5	5	NUM
asir-4876	2	37	,	,	PUNCT
asir-4876	2	38	2022	2022	NUM
asir-4876	2	39	online	online	ADV
asir-4876	2	40	published	publish	VERB
asir-4876	2	41	:	:	PUNCT
asir-4876	2	42	june	june	PROPN
asir-4876	2	43	9	9	NUM
asir-4876	2	44	,	,	PUNCT
asir-4876	2	45	2022	2022	NUM
asir-4876	2	46	doi:10.22158	doi:10.22158	NOUN
asir-4876	2	47	/	/	SYM
asir-4876	2	48	asir.v6n3p1	asir.v6n3p1	PROPN
asir-4876	2	49	url	url	NOUN
asir-4876	2	50	:	:	PUNCT
asir-4876	2	51	http://doi.org/10.22158/asir.v6n3p1	http://doi.org/10.22158/asir.v6n3p1	PROPN
asir-4876	2	52	abstract	abstract	VERB
asir-4876	2	53	the	the	DET
asir-4876	2	54	electrical	electrical	ADJ
asir-4876	2	55	characteristics	characteristic	NOUN
asir-4876	2	56	of	of	ADP
asir-4876	2	57	a	a	DET
asir-4876	2	58	microstrip	microstrip	NOUN
asir-4876	2	59	antenna	antenna	NOUN
asir-4876	2	60	are	be	AUX
asir-4876	2	61	considered	consider	VERB
asir-4876	2	62	.	.	PUNCT
asir-4876	3	1	its	its	PRON
asir-4876	3	2	design	design	NOUN
asir-4876	3	3	and	and	CCONJ
asir-4876	3	4	electrical	electrical	ADJ
asir-4876	3	5	characteristics	characteristic	NOUN
asir-4876	3	6	are	be	AUX
asir-4876	3	7	compared	compare	VERB
asir-4876	3	8	with	with	ADP
asir-4876	3	9	design	design	NOUN
asir-4876	3	10	and	and	CCONJ
asir-4876	3	11	electrical	electrical	ADJ
asir-4876	3	12	characteristics	characteristic	NOUN
asir-4876	3	13	of	of	ADP
asir-4876	3	14	volume	volume	NOUN
asir-4876	3	15	self	self	NOUN
asir-4876	3	16	-	-	PUNCT
asir-4876	3	17	complementary	complementary	ADJ
asir-4876	3	18	antennas	antenna	NOUN
asir-4876	3	19	and	and	CCONJ
asir-4876	3	20	an	an	DET
asir-4876	3	21	antenna	antenna	NOUN
asir-4876	3	22	located	locate	VERB
asir-4876	3	23	on	on	ADP
asir-4876	3	24	the	the	DET
asir-4876	3	25	faces	face	NOUN
asir-4876	3	26	of	of	ADP
asir-4876	3	27	a	a	DET
asir-4876	3	28	lying	lie	VERB
asir-4876	3	29	rectangular	rectangular	ADJ
asir-4876	3	30	pyramid	pyramid	NOUN
asir-4876	3	31	.	.	PUNCT
asir-4876	4	1	the	the	DET
asir-4876	4	2	method	method	NOUN
asir-4876	4	3	of	of	ADP
asir-4876	4	4	a	a	DET
asir-4876	4	5	complex	complex	ADJ
asir-4876	4	6	potential	potential	NOUN
asir-4876	4	7	is	be	AUX
asir-4876	4	8	used	use	VERB
asir-4876	4	9	for	for	ADP
asir-4876	4	10	an	an	DET
asir-4876	4	11	analysis	analysis	NOUN
asir-4876	4	12	of	of	ADP
asir-4876	4	13	the	the	DET
asir-4876	4	14	substrate	substrate	NOUN
asir-4876	4	15	influence	influence	NOUN
asir-4876	4	16	on	on	ADP
asir-4876	4	17	the	the	DET
asir-4876	4	18	properties	property	NOUN
asir-4876	4	19	of	of	ADP
asir-4876	4	20	this	this	DET
asir-4876	4	21	antenna	antenna	NOUN
asir-4876	4	22	.	.	PUNCT
asir-4876	5	1	in	in	ADP
asir-4876	5	2	accordance	accordance	NOUN
asir-4876	5	3	with	with	ADP
asir-4876	5	4	the	the	DET
asir-4876	5	5	results	result	NOUN
asir-4876	5	6	of	of	ADP
asir-4876	5	7	comparing	compare	VERB
asir-4876	5	8	the	the	DET
asir-4876	5	9	characteristics	characteristic	NOUN
asir-4876	5	10	of	of	ADP
asir-4876	5	11	linear	linear	ADJ
asir-4876	5	12	radiators	radiator	NOUN
asir-4876	5	13	with	with	ADP
asir-4876	5	14	different	different	ADJ
asir-4876	5	15	current	current	ADJ
asir-4876	5	16	distributions	distribution	NOUN
asir-4876	5	17	,	,	PUNCT
asir-4876	5	18	the	the	DET
asir-4876	5	19	design	design	NOUN
asir-4876	5	20	of	of	ADP
asir-4876	5	21	a	a	DET
asir-4876	5	22	microstrip	microstrip	NOUN
asir-4876	5	23	antenna	antenna	NOUN
asir-4876	5	24	with	with	ADP
asir-4876	5	25	an	an	DET
asir-4876	5	26	in	in	ADP
asir-4876	5	27	-	-	PUNCT
asir-4876	5	28	phase	phase	NOUN
asir-4876	5	29	distribution	distribution	NOUN
asir-4876	5	30	was	be	AUX
asir-4876	5	31	proposed	propose	VERB
asir-4876	5	32	,	,	PUNCT
asir-4876	5	33	which	which	PRON
asir-4876	5	34	ensures	ensure	VERB
asir-4876	5	35	operation	operation	NOUN
asir-4876	5	36	in	in	ADP
asir-4876	5	37	a	a	DET
asir-4876	5	38	wide	wide	ADJ
asir-4876	5	39	frequency	frequency	NOUN
asir-4876	5	40	band	band	NOUN
asir-4876	5	41	.	.	PUNCT
asir-4876	6	1	keywords	keyword	VERB
asir-4876	6	2	antenna	antenna	NOUN
asir-4876	6	3	theory	theory	NOUN
asir-4876	6	4	,	,	PUNCT
asir-4876	6	5	current	current	ADJ
asir-4876	6	6	distribution	distribution	NOUN
asir-4876	6	7	,	,	PUNCT
asir-4876	6	8	extension	extension	NOUN
asir-4876	6	9	of	of	ADP
asir-4876	6	10	frequency	frequency	NOUN
asir-4876	6	11	band	band	NOUN
asir-4876	6	12	,	,	PUNCT
asir-4876	6	13	influence	influence	NOUN
asir-4876	6	14	of	of	ADP
asir-4876	6	15	substrate	substrate	NOUN
asir-4876	6	16	1	1	NUM
asir-4876	6	17	.	.	PUNCT
asir-4876	7	1	introduction	introduction	NOUN
asir-4876	7	2	an	an	DET
asir-4876	7	3	explosive	explosive	ADJ
asir-4876	7	4	wave	wave	NOUN
asir-4876	7	5	of	of	ADP
asir-4876	7	6	theoretical	theoretical	ADJ
asir-4876	7	7	work	work	NOUN
asir-4876	7	8	on	on	ADP
asir-4876	7	9	antenna	antenna	NOUN
asir-4876	7	10	technology	technology	NOUN
asir-4876	7	11	in	in	ADP
asir-4876	7	12	the	the	DET
asir-4876	7	13	middle	middle	NOUN
asir-4876	7	14	of	of	ADP
asir-4876	7	15	the	the	DET
asir-4876	7	16	last	last	ADJ
asir-4876	7	17	century	century	NOUN
asir-4876	7	18	led	lead	VERB
asir-4876	7	19	to	to	ADP
asir-4876	7	20	the	the	DET
asir-4876	7	21	creation	creation	NOUN
asir-4876	7	22	of	of	ADP
asir-4876	7	23	rigorous	rigorous	ADJ
asir-4876	7	24	methods	method	NOUN
asir-4876	7	25	for	for	ADP
asir-4876	7	26	analyzing	analyze	VERB
asir-4876	7	27	and	and	CCONJ
asir-4876	7	28	then	then	ADV
asir-4876	7	29	synthesizing	synthesize	VERB
asir-4876	7	30	antennas	antenna	NOUN
asir-4876	7	31	.	.	PUNCT
asir-4876	8	1	the	the	DET
asir-4876	8	2	widespread	widespread	ADJ
asir-4876	8	3	use	use	NOUN
asir-4876	8	4	of	of	ADP
asir-4876	8	5	new	new	ADJ
asir-4876	8	6	antenna	antenna	NOUN
asir-4876	8	7	options	option	NOUN
asir-4876	8	8	,	,	PUNCT
asir-4876	8	9	one	one	NUM
asir-4876	8	10	of	of	ADP
asir-4876	8	11	which	which	PRON
asir-4876	8	12	was	be	AUX
asir-4876	8	13	microstrip	microstrip	NOUN
asir-4876	8	14	antenna	antenna	NOUN
asir-4876	8	15	,	,	PUNCT
asir-4876	8	16	was	be	AUX
asir-4876	8	17	a	a	DET
asir-4876	8	18	side	side	ADJ
asir-4876	8	19	effect	effect	NOUN
asir-4876	8	20	of	of	ADP
asir-4876	8	21	this	this	DET
asir-4876	8	22	wave	wave	NOUN
asir-4876	8	23	.	.	PUNCT
asir-4876	9	1	the	the	DET
asir-4876	9	2	reason	reason	NOUN
asir-4876	9	3	for	for	ADP
asir-4876	9	4	a	a	DET
asir-4876	9	5	widespread	widespread	ADJ
asir-4876	9	6	use	use	NOUN
asir-4876	9	7	of	of	ADP
asir-4876	9	8	microstrip	microstrip	NOUN
asir-4876	9	9	antennas	antenna	NOUN
asir-4876	9	10	was	be	AUX
asir-4876	9	11	the	the	DET
asir-4876	9	12	fact	fact	NOUN
asir-4876	9	13	that	that	SCONJ
asir-4876	9	14	on	on	ADP
asir-4876	9	15	aircraft	aircraft	NOUN
asir-4876	9	16	,	,	PUNCT
asir-4876	9	17	ships	ship	NOUN
asir-4876	9	18	and	and	CCONJ
asir-4876	9	19	other	other	ADJ
asir-4876	9	20	moving	move	VERB
asir-4876	9	21	objects	object	NOUN
asir-4876	9	22	,	,	PUNCT
asir-4876	9	23	where	where	SCONJ
asir-4876	9	24	size	size	NOUN
asir-4876	9	25	,	,	PUNCT
asir-4876	9	26	weight	weight	NOUN
asir-4876	9	27	,	,	PUNCT
asir-4876	9	28	price	price	NOUN
asir-4876	9	29	and	and	CCONJ
asir-4876	9	30	ease	ease	NOUN
asir-4876	9	31	of	of	ADP
asir-4876	9	32	installation	installation	NOUN
asir-4876	9	33	are	be	AUX
asir-4876	9	34	especially	especially	ADV
asir-4876	9	35	important	important	ADJ
asir-4876	9	36	,	,	PUNCT
asir-4876	9	37	low	low	ADJ
asir-4876	9	38	-	-	PUNCT
asir-4876	9	39	profile	profile	NOUN
asir-4876	9	40	antennas	antenna	NOUN
asir-4876	9	41	of	of	ADP
asir-4876	9	42	the	the	DET
asir-4876	9	43	appropriate	appropriate	ADJ
asir-4876	9	44	shape	shape	NOUN
asir-4876	9	45	and	and	CCONJ
asir-4876	9	46	design	design	NOUN
asir-4876	9	47	are	be	AUX
asir-4876	9	48	needed	need	VERB
asir-4876	9	49	.	.	PUNCT
asir-4876	10	1	such	such	ADJ
asir-4876	10	2	antennas	antenna	NOUN
asir-4876	10	3	can	can	AUX
asir-4876	10	4	be	be	AUX
asir-4876	10	5	mounted	mount	VERB
asir-4876	10	6	flush	flush	ADV
asir-4876	10	7	on	on	ADP
asir-4876	10	8	metal	metal	NOUN
asir-4876	10	9	surfaces	surface	NOUN
asir-4876	10	10	,	,	PUNCT
asir-4876	10	11	and	and	CCONJ
asir-4876	10	12	it	it	PRON
asir-4876	10	13	was	be	AUX
asir-4876	10	14	need	need	ADJ
asir-4876	10	15	only	only	ADV
asir-4876	10	16	feed	feed	NOUN
asir-4876	10	17	lines	line	NOUN
asir-4876	10	18	,	,	PUNCT
asir-4876	10	19	which	which	PRON
asir-4876	10	20	are	be	AUX
asir-4876	10	21	usually	usually	ADV
asir-4876	10	22	placed	place	VERB
asir-4876	10	23	under	under	ADP
asir-4876	10	24	the	the	DET
asir-4876	10	25	ground	ground	NOUN
asir-4876	10	26	plane	plane	NOUN
asir-4876	10	27	.	.	PUNCT
asir-4876	11	1	the	the	DET
asir-4876	11	2	designs	design	NOUN
asir-4876	11	3	and	and	CCONJ
asir-4876	11	4	electrical	electrical	ADJ
asir-4876	11	5	characteristics	characteristic	NOUN
asir-4876	11	6	of	of	ADP
asir-4876	11	7	microstrip	microstrip	NOUN
asir-4876	11	8	antennas	antenna	NOUN
asir-4876	11	9	,	,	PUNCT
asir-4876	11	10	as	as	ADV
asir-4876	11	11	well	well	ADV
asir-4876	11	12	as	as	ADP
asir-4876	11	13	examples	example	NOUN
asir-4876	11	14	of	of	ADP
asir-4876	11	15	their	their	PRON
asir-4876	11	16	application	application	NOUN
asir-4876	11	17	,	,	PUNCT
asir-4876	11	18	are	be	AUX
asir-4876	11	19	described	describe	VERB
asir-4876	11	20	in	in	ADP
asir-4876	11	21	books	book	NOUN
asir-4876	11	22	(	(	PUNCT
asir-4876	11	23	balanis	balani	NOUN
asir-4876	11	24	,	,	PUNCT
asir-4876	11	25	2005	2005	NUM
asir-4876	11	26	;	;	PUNCT
asir-4876	11	27	johnson	johnson	PROPN
asir-4876	11	28	,	,	PUNCT
asir-4876	11	29	1993	1993	NUM
asir-4876	11	30	)	)	PUNCT
asir-4876	11	31	and	and	CCONJ
asir-4876	11	32	in	in	ADP
asir-4876	11	33	articles	article	NOUN
asir-4876	11	34	included	include	VERB
asir-4876	11	35	in	in	ADP
asir-4876	11	36	the	the	DET
asir-4876	11	37	collection	collection	NOUN
asir-4876	11	38	(	(	PUNCT
asir-4876	11	39	microstrip	microstrip	NOUN
asir-4876	11	40	antennas	antenna	NOUN
asir-4876	11	41	,	,	PUNCT
asir-4876	11	42	1995	1995	NUM
asir-4876	11	43	)	)	PUNCT
asir-4876	11	44	.	.	PUNCT
asir-4876	12	1	the	the	DET
asir-4876	12	2	microstrip	microstrip	NOUN
asir-4876	12	3	antenna	antenna	NOUN
asir-4876	12	4	(	(	PUNCT
asir-4876	12	5	figure	figure	NOUN
asir-4876	12	6	1	1	NUM
asir-4876	12	7	)	)	PUNCT
asir-4876	12	8	presents	present	VERB
asir-4876	12	9	a	a	DET
asir-4876	12	10	thin	thin	ADJ
asir-4876	12	11	metal	metal	NOUN
asir-4876	12	12	strip	strip	NOUN
asir-4876	12	13	1	1	NUM
asir-4876	12	14	(	(	PUNCT
asir-4876	12	15	with	with	ADP
asir-4876	12	16	thickness	thickness	PROPN
asir-4876	12	17	t	t	PROPN
asir-4876	12	18	)	)	PUNCT
asir-4876	12	19	located	locate	VERB
asir-4876	12	20	at	at	ADP
asir-4876	12	21	a	a	DET
asir-4876	12	22	small	small	ADJ
asir-4876	12	23	height	height	NOUN
asir-4876	12	24	h	h	NOUN
asir-4876	12	25	above	above	ADP
asir-4876	12	26	the	the	DET
asir-4876	12	27	ground	ground	NOUN
asir-4876	12	28	plate	plate	NOUN
asir-4876	12	29	2	2	NUM
asir-4876	12	30	,	,	PUNCT
asir-4876	12	31	at	at	ADP
asir-4876	12	32	that	that	DET
asir-4876	12	33	𝑡	𝑡	NOUN
asir-4876	12	34	,	,	PUNCT
asir-4876	12	35	ℎ	ℎ	PART
asir-4876	12	36	≪	≪	VERB
asir-4876	12	37	𝜆	𝜆	X
asir-4876	12	38	,	,	PUNCT
asir-4876	12	39	where	where	SCONJ
asir-4876	12	40	𝜆	𝜆	NOUN
asir-4876	12	41	is	be	AUX
asir-4876	12	42	the	the	DET
asir-4876	12	43	wavelength	wavelength	NOUN
asir-4876	12	44	.	.	PUNCT
asir-4876	13	1	the	the	DET
asir-4876	13	2	strip	strip	NOUN
asir-4876	13	3	and	and	CCONJ
asir-4876	13	4	ground	ground	NOUN
asir-4876	13	5	plate	plate	NOUN
asir-4876	13	6	are	be	AUX
asir-4876	13	7	separated	separate	VERB
asir-4876	13	8	by	by	ADP
asir-4876	13	9	dielectric	dielectric	ADJ
asir-4876	13	10	plate	plate	NOUN
asir-4876	13	11	3	3	NUM
asir-4876	13	12	(	(	PUNCT
asir-4876	13	13	substrate	substrate	NOUN
asir-4876	13	14	)	)	PUNCT
asir-4876	13	15	as	as	SCONJ
asir-4876	13	16	shown	show	VERB
asir-4876	13	17	in	in	ADP
asir-4876	13	18	the	the	DET
asir-4876	13	19	figure	figure	NOUN
asir-4876	13	20	.	.	PUNCT
asir-4876	14	1	the	the	DET
asir-4876	14	2	radiating	radiate	VERB
asir-4876	14	3	elements	element	NOUN
asir-4876	14	4	and	and	CCONJ
asir-4876	14	5	the	the	DET
asir-4876	14	6	feed	feed	NOUN
asir-4876	14	7	lines	line	NOUN
asir-4876	14	8	are	be	AUX
asir-4876	14	9	usually	usually	ADV
asir-4876	14	10	photoetched	photoetche	VERB
asir-4876	14	11	on	on	ADP
asir-4876	14	12	the	the	DET
asir-4876	14	13	dielectric	dielectric	ADJ
asir-4876	14	14	substrate	substrate	NOUN
asir-4876	14	15	.	.	PUNCT
asir-4876	15	1	the	the	DET
asir-4876	15	2	metallic	metallic	ADJ
asir-4876	15	3	strip	strip	NOUN
asir-4876	15	4	may	may	AUX
asir-4876	15	5	be	be	AUX
asir-4876	15	6	any	any	DET
asir-4876	15	7	configuration	configuration	NOUN
asir-4876	15	8	,	,	PUNCT
asir-4876	15	9	but	but	CCONJ
asir-4876	15	10	square	square	ADJ
asir-4876	15	11	,	,	PUNCT
asir-4876	15	12	rectangular	rectangular	ADJ
asir-4876	15	13	,	,	PUNCT
asir-4876	15	14	and	and	CCONJ
asir-4876	15	15	circular	circular	ADJ
asir-4876	15	16	are	be	AUX
asir-4876	15	17	the	the	DET
asir-4876	15	18	most	most	ADV
asir-4876	15	19	common	common	ADJ
asir-4876	15	20	because	because	SCONJ
asir-4876	15	21	simpler	simple	ADJ
asir-4876	15	22	fabrication	fabrication	NOUN
asir-4876	15	23	mailto:levinpaker@gmail.com	mailto:levinpaker@gmail.com	PROPN
asir-4876	15	24	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	PROPN
asir-4876	15	25	applied	apply	VERB
asir-4876	15	26	science	science	NOUN
asir-4876	15	27	and	and	CCONJ
asir-4876	15	28	innovative	innovative	ADJ
asir-4876	15	29	research	research	NOUN
asir-4876	15	30	vol	vol	NOUN
asir-4876	15	31	.	.	PROPN
asir-4876	16	1	6	6	NUM
asir-4876	16	2	,	,	PUNCT
asir-4876	16	3	no	no	INTJ
asir-4876	16	4	.	.	NOUN
asir-4876	16	5	3	3	NUM
asir-4876	16	6	,	,	PUNCT
asir-4876	16	7	2022	2022	NUM
asir-4876	16	8	2	2	NUM
asir-4876	16	9	published	publish	VERB
asir-4876	16	10	by	by	ADP
asir-4876	16	11	scholink	scholink	PROPN
asir-4876	16	12	inc	inc	PROPN
asir-4876	16	13	.	.	PROPN
asir-4876	16	14	and	and	CCONJ
asir-4876	16	15	analysis	analysis	NOUN
asir-4876	16	16	.	.	PUNCT
asir-4876	17	1	the	the	DET
asir-4876	17	2	feed	feed	NOUN
asir-4876	17	3	line	line	NOUN
asir-4876	17	4	is	be	AUX
asir-4876	17	5	made	make	VERB
asir-4876	17	6	or	or	CCONJ
asir-4876	17	7	as	as	ADP
asir-4876	17	8	a	a	DET
asir-4876	17	9	conducting	conducting	NOUN
asir-4876	17	10	strip	strip	NOUN
asir-4876	17	11	4	4	NUM
asir-4876	17	12	,	,	PUNCT
asir-4876	17	13	as	as	ADP
asir-4876	17	14	a	a	DET
asir-4876	17	15	rule	rule	NOUN
asir-4876	17	16	,	,	PUNCT
asir-4876	17	17	of	of	ADP
asir-4876	17	18	smaller	small	ADJ
asir-4876	17	19	width	width	NOUN
asir-4876	17	20	(	(	PUNCT
asir-4876	17	21	figure	figure	NOUN
asir-4876	17	22	1a	1a	NOUN
asir-4876	17	23	)	)	PUNCT
asir-4876	17	24	or	or	CCONJ
asir-4876	17	25	as	as	ADP
asir-4876	17	26	coaxial	coaxial	ADJ
asir-4876	17	27	line	line	NOUN
asir-4876	17	28	5	5	NUM
asir-4876	17	29	(	(	PUNCT
asir-4876	17	30	figure	figure	NOUN
asir-4876	17	31	1b	1b	NUM
asir-4876	17	32	)	)	PUNCT
asir-4876	17	33	,	,	PUNCT
asir-4876	17	34	where	where	SCONJ
asir-4876	17	35	the	the	DET
asir-4876	17	36	inner	inner	ADJ
asir-4876	17	37	conductor	conductor	NOUN
asir-4876	17	38	of	of	ADP
asir-4876	17	39	the	the	DET
asir-4876	17	40	coax	coax	NOUN
asir-4876	17	41	is	be	AUX
asir-4876	17	42	attached	attach	VERB
asir-4876	17	43	to	to	ADP
asir-4876	17	44	the	the	DET
asir-4876	17	45	metal	metal	NOUN
asir-4876	17	46	strip	strip	NOUN
asir-4876	17	47	1	1	X
asir-4876	17	48	.	.	PUNCT
asir-4876	18	1	with	with	ADP
asir-4876	18	2	help	help	NOUN
asir-4876	18	3	of	of	ADP
asir-4876	18	4	microstrip	microstrip	NOUN
asir-4876	18	5	antennas	antenna	NOUN
asir-4876	18	6	one	one	PRON
asir-4876	18	7	can	can	AUX
asir-4876	18	8	create	create	VERB
asir-4876	18	9	linear	linear	ADJ
asir-4876	18	10	and	and	CCONJ
asir-4876	18	11	circular	circular	ADJ
asir-4876	18	12	polarization	polarization	NOUN
asir-4876	18	13	.	.	PUNCT
asir-4876	19	1	arrays	array	NOUN
asir-4876	19	2	of	of	ADP
asir-4876	19	3	microstrip	microstrip	NOUN
asir-4876	19	4	antennas	antenna	NOUN
asir-4876	19	5	allow	allow	VERB
asir-4876	19	6	to	to	PART
asir-4876	19	7	provide	provide	VERB
asir-4876	19	8	the	the	DET
asir-4876	19	9	high	high	ADJ
asir-4876	19	10	directivity	directivity	NOUN
asir-4876	19	11	.	.	PUNCT
asir-4876	20	1	figure	figure	NOUN
asir-4876	20	2	1	1	NUM
asir-4876	20	3	.	.	PUNCT
asir-4876	20	4	microstrip	microstrip	NOUN
asir-4876	20	5	antennas	antenna	NOUN
asir-4876	20	6	with	with	ADP
asir-4876	20	7	feed	feed	NOUN
asir-4876	20	8	lines	line	NOUN
asir-4876	20	9	made	make	VERB
asir-4876	20	10	as	as	ADP
asir-4876	20	11	a	a	DET
asir-4876	20	12	conducting	conducting	NOUN
asir-4876	20	13	strip	strip	NOUN
asir-4876	20	14	(	(	PUNCT
asir-4876	20	15	a	a	NOUN
asir-4876	20	16	)	)	PUNCT
asir-4876	20	17	and	and	CCONJ
asir-4876	20	18	as	as	ADP
asir-4876	20	19	coaxial	coaxial	ADJ
asir-4876	20	20	line	line	NOUN
asir-4876	20	21	(	(	PUNCT
asir-4876	20	22	b	b	NOUN
asir-4876	20	23	)	)	PUNCT
asir-4876	20	24	major	major	ADJ
asir-4876	20	25	operational	operational	ADJ
asir-4876	20	26	disadvantages	disadvantage	NOUN
asir-4876	20	27	of	of	ADP
asir-4876	20	28	this	this	DET
asir-4876	20	29	antenna	antenna	NOUN
asir-4876	20	30	are	be	AUX
asir-4876	20	31	its	its	PRON
asir-4876	20	32	small	small	ADJ
asir-4876	20	33	efficiency	efficiency	NOUN
asir-4876	20	34	and	and	CCONJ
asir-4876	20	35	very	very	ADV
asir-4876	20	36	narrow	narrow	ADJ
asir-4876	20	37	frequency	frequency	NOUN
asir-4876	20	38	bandwidth	bandwidth	NOUN
asir-4876	20	39	,	,	PUNCT
asir-4876	20	40	which	which	PRON
asir-4876	20	41	is	be	AUX
asir-4876	20	42	typically	typically	ADV
asir-4876	20	43	only	only	ADV
asir-4876	20	44	a	a	DET
asir-4876	20	45	fraction	fraction	NOUN
asir-4876	20	46	of	of	ADP
asir-4876	20	47	a	a	DET
asir-4876	20	48	percent	percent	NOUN
asir-4876	20	49	or	or	CCONJ
asir-4876	20	50	a	a	DET
asir-4876	20	51	few	few	ADJ
asir-4876	20	52	percent	percent	NOUN
asir-4876	20	53	.	.	PUNCT
asir-4876	21	1	the	the	DET
asir-4876	21	2	reason	reason	NOUN
asir-4876	21	3	of	of	ADP
asir-4876	21	4	this	this	DET
asir-4876	21	5	inefficiency	inefficiency	NOUN
asir-4876	21	6	is	be	AUX
asir-4876	21	7	that	that	SCONJ
asir-4876	21	8	its	its	PRON
asir-4876	21	9	thickness	thickness	NOUN
asir-4876	21	10	is	be	AUX
asir-4876	21	11	usually	usually	ADV
asir-4876	21	12	very	very	ADV
asir-4876	21	13	small	small	ADJ
asir-4876	21	14	,	,	PUNCT
asir-4876	21	15	and	and	CCONJ
asir-4876	21	16	the	the	DET
asir-4876	21	17	waves	wave	NOUN
asir-4876	21	18	generated	generate	VERB
asir-4876	21	19	within	within	ADP
asir-4876	21	20	the	the	DET
asir-4876	21	21	dielectric	dielectric	ADJ
asir-4876	21	22	substrate	substrate	NOUN
asir-4876	21	23	undergo	undergo	VERB
asir-4876	21	24	considerable	considerable	ADJ
asir-4876	21	25	reflections	reflection	NOUN
asir-4876	21	26	when	when	SCONJ
asir-4876	21	27	they	they	PRON
asir-4876	21	28	go	go	VERB
asir-4876	21	29	along	along	ADP
asir-4876	21	30	the	the	DET
asir-4876	21	31	edge	edge	NOUN
asir-4876	21	32	of	of	ADP
asir-4876	21	33	the	the	DET
asir-4876	21	34	strip	strip	NOUN
asir-4876	21	35	.	.	PUNCT
asir-4876	22	1	in	in	ADP
asir-4876	22	2	order	order	NOUN
asir-4876	22	3	to	to	PART
asir-4876	22	4	analyze	analyze	VERB
asir-4876	22	5	the	the	DET
asir-4876	22	6	electrical	electrical	ADJ
asir-4876	22	7	characteristics	characteristic	NOUN
asir-4876	22	8	of	of	ADP
asir-4876	22	9	microstrip	microstrip	NOUN
asir-4876	22	10	antenna	antenna	NOUN
asir-4876	22	11	(	(	PUNCT
asir-4876	22	12	patch	patch	NOUN
asir-4876	22	13	)	)	PUNCT
asir-4876	22	14	,	,	PUNCT
asir-4876	22	15	several	several	ADJ
asir-4876	22	16	models	model	NOUN
asir-4876	22	17	have	have	AUX
asir-4876	22	18	been	be	AUX
asir-4876	22	19	proposed	propose	VERB
asir-4876	22	20	.	.	PUNCT
asir-4876	23	1	the	the	DET
asir-4876	23	2	greatest	great	ADJ
asir-4876	23	3	attention	attention	NOUN
asir-4876	23	4	was	be	AUX
asir-4876	23	5	paid	pay	VERB
asir-4876	23	6	to	to	PART
asir-4876	23	7	model	model	VERB
asir-4876	23	8	in	in	ADP
asir-4876	23	9	the	the	DET
asir-4876	23	10	form	form	NOUN
asir-4876	23	11	of	of	ADP
asir-4876	23	12	a	a	DET
asir-4876	23	13	two	two	NUM
asir-4876	23	14	-	-	PUNCT
asir-4876	23	15	wire	wire	NOUN
asir-4876	23	16	long	long	ADJ
asir-4876	23	17	line	line	NOUN
asir-4876	23	18	.	.	PUNCT
asir-4876	24	1	this	this	DET
asir-4876	24	2	model	model	NOUN
asir-4876	24	3	treats	treat	VERB
asir-4876	24	4	the	the	DET
asir-4876	24	5	antenna	antenna	NOUN
asir-4876	24	6	as	as	ADP
asir-4876	24	7	a	a	DET
asir-4876	24	8	segment	segment	NOUN
asir-4876	24	9	of	of	ADP
asir-4876	24	10	a	a	DET
asir-4876	24	11	transmission	transmission	NOUN
asir-4876	24	12	line	line	NOUN
asir-4876	24	13	with	with	ADP
asir-4876	24	14	length	length	NOUN
asir-4876	24	15	l	l	NOUN
asir-4876	24	16	terminated	terminate	VERB
asir-4876	24	17	at	at	ADP
asir-4876	24	18	both	both	DET
asir-4876	24	19	ends	end	NOUN
asir-4876	24	20	by	by	ADP
asir-4876	24	21	a	a	DET
asir-4876	24	22	radiation	radiation	NOUN
asir-4876	24	23	admittance	admittance	NOUN
asir-4876	24	24	𝑌𝑇.	𝑌𝑇.	X
asir-4876	24	25	it	it	PRON
asir-4876	24	26	is	be	AUX
asir-4876	24	27	considered	consider	VERB
asir-4876	24	28	that	that	SCONJ
asir-4876	24	29	the	the	DET
asir-4876	24	30	transmission	transmission	NOUN
asir-4876	24	31	line	line	NOUN
asir-4876	24	32	does	do	AUX
asir-4876	24	33	n’t	not	PART
asir-4876	24	34	radiate	radiate	VERB
asir-4876	24	35	because	because	SCONJ
asir-4876	24	36	of	of	ADP
asir-4876	24	37	reflections	reflection	NOUN
asir-4876	24	38	and	and	CCONJ
asir-4876	24	39	acts	act	NOUN
asir-4876	24	40	as	as	ADP
asir-4876	24	41	a	a	DET
asir-4876	24	42	transformer	transformer	NOUN
asir-4876	24	43	.	.	PUNCT
asir-4876	25	1	each	each	DET
asir-4876	25	2	radiation	radiation	NOUN
asir-4876	25	3	admittance	admittance	NOUN
asir-4876	25	4	is	be	AUX
asir-4876	25	5	perpendicular	perpendicular	ADJ
asir-4876	25	6	to	to	ADP
asir-4876	25	7	the	the	DET
asir-4876	25	8	feed	feed	NOUN
asir-4876	25	9	line	line	NOUN
asir-4876	25	10	,	,	PUNCT
asir-4876	25	11	and	and	CCONJ
asir-4876	25	12	it	it	PRON
asir-4876	25	13	is	be	AUX
asir-4876	25	14	made	make	VERB
asir-4876	25	15	in	in	ADP
asir-4876	25	16	the	the	DET
asir-4876	25	17	form	form	NOUN
asir-4876	25	18	of	of	ADP
asir-4876	25	19	a	a	DET
asir-4876	25	20	slot	slot	NOUN
asir-4876	25	21	with	with	ADP
asir-4876	25	22	length	length	NOUN
asir-4876	25	23	b	b	PROPN
asir-4876	25	24	and	and	CCONJ
asir-4876	25	25	width	width	PROPN
asir-4876	25	26	h.	h.	NOUN
asir-4876	25	27	if	if	SCONJ
asir-4876	25	28	the	the	DET
asir-4876	25	29	length	length	NOUN
asir-4876	25	30	of	of	ADP
asir-4876	25	31	the	the	DET
asir-4876	25	32	transmission	transmission	NOUN
asir-4876	25	33	line	line	NOUN
asir-4876	25	34	is	be	AUX
asir-4876	25	35	approximately	approximately	ADV
asir-4876	25	36	𝜆	𝜆	DET
asir-4876	25	37	2,⁄	2,⁄	NOUN
asir-4876	25	38	where	where	SCONJ
asir-4876	25	39	𝜆	𝜆	NOUN
asir-4876	25	40	is	be	AUX
asir-4876	25	41	the	the	DET
asir-4876	25	42	wavelength	wavelength	NOUN
asir-4876	25	43	in	in	ADP
asir-4876	25	44	the	the	DET
asir-4876	25	45	line	line	NOUN
asir-4876	25	46	,	,	PUNCT
asir-4876	25	47	then	then	ADV
asir-4876	25	48	the	the	DET
asir-4876	25	49	fields	field	NOUN
asir-4876	25	50	at	at	ADP
asir-4876	25	51	the	the	DET
asir-4876	25	52	aperture	aperture	NOUN
asir-4876	25	53	of	of	ADP
asir-4876	25	54	two	two	NUM
asir-4876	25	55	slots	slot	NOUN
asir-4876	25	56	have	have	VERB
asir-4876	25	57	the	the	DET
asir-4876	25	58	same	same	ADJ
asir-4876	25	59	directions	direction	NOUN
asir-4876	25	60	,	,	PUNCT
asir-4876	25	61	and	and	CCONJ
asir-4876	25	62	the	the	DET
asir-4876	25	63	slots	slot	NOUN
asir-4876	25	64	form	form	VERB
asir-4876	25	65	a	a	DET
asir-4876	25	66	two	two	NUM
asir-4876	25	67	-	-	PUNCT
asir-4876	25	68	element	element	NOUN
asir-4876	25	69	array	array	NOUN
asir-4876	25	70	with	with	ADP
asir-4876	25	71	a	a	DET
asir-4876	25	72	distance	distance	NOUN
asir-4876	25	73	𝜆	𝜆	ADP
asir-4876	25	74	2⁄	2⁄	NOUN
asir-4876	25	75	between	between	ADP
asir-4876	25	76	the	the	DET
asir-4876	25	77	elements	element	NOUN
asir-4876	25	78	.	.	PUNCT
asir-4876	26	1	the	the	DET
asir-4876	26	2	field	field	NOUN
asir-4876	26	3	components	component	NOUN
asir-4876	26	4	parallel	parallel	VERB
asir-4876	26	5	to	to	ADP
asir-4876	26	6	the	the	DET
asir-4876	26	7	antenna	antenna	NOUN
asir-4876	26	8	axis	axis	NOUN
asir-4876	26	9	add	add	VERB
asir-4876	26	10	up	up	ADP
asir-4876	26	11	in	in	ADP
asir-4876	26	12	phase	phase	NOUN
asir-4876	26	13	and	and	CCONJ
asir-4876	26	14	create	create	VERB
asir-4876	26	15	a	a	DET
asir-4876	26	16	maximum	maximum	ADJ
asir-4876	26	17	radiation	radiation	NOUN
asir-4876	26	18	along	along	ADP
asir-4876	26	19	the	the	DET
asir-4876	26	20	perpendicular	perpendicular	NOUN
asir-4876	26	21	to	to	ADP
asir-4876	26	22	the	the	DET
asir-4876	26	23	ground	ground	NOUN
asir-4876	26	24	plane	plane	NOUN
asir-4876	26	25	.	.	PUNCT
asir-4876	27	1	as	as	SCONJ
asir-4876	27	2	is	be	AUX
asir-4876	27	3	convincingly	convincingly	ADV
asir-4876	27	4	stated	state	VERB
asir-4876	27	5	in	in	ADP
asir-4876	27	6	(	(	PUNCT
asir-4876	27	7	munson	munson	PROPN
asir-4876	27	8	,	,	PUNCT
asir-4876	27	9	1974	1974	NUM
asir-4876	27	10	)	)	PUNCT
asir-4876	27	11	the	the	DET
asir-4876	27	12	transmission	transmission	NOUN
asir-4876	27	13	-	-	PUNCT
asir-4876	27	14	line	line	NOUN
asir-4876	27	15	model	model	NOUN
asir-4876	27	16	“	"	PUNCT
asir-4876	27	17	has	have	VERB
asir-4876	27	18	the	the	DET
asir-4876	27	19	advantage	advantage	NOUN
asir-4876	27	20	of	of	ADP
asir-4876	27	21	yielding	yield	VERB
asir-4876	27	22	very	very	ADV
asir-4876	27	23	simple	simple	ADJ
asir-4876	27	24	expressions	expression	NOUN
asir-4876	27	25	for	for	ADP
asir-4876	27	26	both	both	CCONJ
asir-4876	27	27	the	the	DET
asir-4876	27	28	real	real	ADJ
asir-4876	27	29	and	and	CCONJ
asir-4876	27	30	imaginary	imaginary	ADJ
asir-4876	27	31	part	part	NOUN
asir-4876	27	32	of	of	ADP
asir-4876	27	33	𝑌𝑇	𝑌𝑇	PROPN
asir-4876	27	34	,	,	PUNCT
asir-4876	27	35	but	but	CCONJ
asir-4876	27	36	it	it	PRON
asir-4876	27	37	has	have	VERB
asir-4876	27	38	three	three	NUM
asir-4876	27	39	important	important	ADJ
asir-4876	27	40	shortcomings	shortcoming	NOUN
asir-4876	27	41	:	:	PUNCT
asir-4876	27	42	a	a	X
asir-4876	27	43	)	)	PUNCT
asir-4876	27	44	the	the	DET
asir-4876	27	45	expressions	expression	NOUN
asir-4876	27	46	used	use	VERB
asir-4876	27	47	for	for	ADP
asir-4876	27	48	𝑌𝑇	𝑌𝑇	PROPN
asir-4876	27	49	are	be	AUX
asir-4876	27	50	inaccurate	inaccurate	ADJ
asir-4876	27	51	for	for	ADP
asir-4876	27	52	narrow	narrow	ADJ
asir-4876	27	53	patches	patch	NOUN
asir-4876	27	54	(	(	PUNCT
asir-4876	27	55	i.e.	i.e.	X
asir-4876	27	56	,	,	PUNCT
asir-4876	27	57	for	for	ADP
asir-4876	27	58	𝑏	𝑏	DET
asir-4876	27	59	≤	≤	NUM
asir-4876	27	60	𝜆0	𝜆0	NOUN
asir-4876	27	61	,	,	PUNCT
asir-4876	27	62	where	where	SCONJ
asir-4876	27	63	𝜆0	𝜆0	NOUN
asir-4876	27	64	is	be	AUX
asir-4876	27	65	free	free	ADJ
asir-4876	27	66	-	-	PUNCT
asir-4876	27	67	space	space	NOUN
asir-4876	27	68	wavelength	wavelength	NOUN
asir-4876	27	69	)	)	PUNCT
asir-4876	27	70	.	.	PUNCT
asir-4876	28	1	b	b	X
asir-4876	28	2	)	)	PUNCT
asir-4876	28	3	the	the	DET
asir-4876	28	4	mutual	mutual	ADJ
asir-4876	28	5	coupling	coupling	NOUN
asir-4876	28	6	between	between	ADP
asir-4876	28	7	the	the	DET
asir-4876	28	8	main	main	ADJ
asir-4876	28	9	radiating	radiating	NOUN
asir-4876	28	10	slots	slot	NOUN
asir-4876	28	11	is	be	AUX
asir-4876	28	12	neglected	neglect	VERB
asir-4876	28	13	.	.	PUNCT
asir-4876	29	1	c	c	X
asir-4876	29	2	)	)	PUNCT
asir-4876	29	3	the	the	DET
asir-4876	29	4	influence	influence	NOUN
asir-4876	29	5	of	of	ADP
asir-4876	29	6	the	the	DET
asir-4876	29	7	side	side	NOUN
asir-4876	29	8	slots	slot	NOUN
asir-4876	29	9	on	on	ADP
asir-4876	29	10	the	the	DET
asir-4876	29	11	radiation	radiation	NOUN
asir-4876	29	12	conductance	conductance	NOUN
asir-4876	29	13	is	be	AUX
asir-4876	29	14	neglected	neglect	VERB
asir-4876	29	15	.	.	PUNCT
asir-4876	30	1	here	here	ADV
asir-4876	30	2	the	the	DET
asir-4876	30	3	slots	slot	NOUN
asir-4876	30	4	with	with	ADP
asir-4876	30	5	length	length	NOUN
asir-4876	30	6	b	b	PROPN
asir-4876	30	7	are	be	AUX
asir-4876	30	8	called	call	VERB
asir-4876	30	9	the	the	DET
asir-4876	30	10	main	main	ADJ
asir-4876	30	11	radiating	radiating	NOUN
asir-4876	30	12	slots	slot	NOUN
asir-4876	30	13	and	and	CCONJ
asir-4876	30	14	the	the	DET
asir-4876	30	15	slots	slot	NOUN
asir-4876	30	16	with	with	ADP
asir-4876	30	17	length	length	NOUN
asir-4876	30	18	l	l	NOUN
asir-4876	30	19	are	be	AUX
asir-4876	30	20	called	call	VERB
asir-4876	30	21	the	the	DET
asir-4876	30	22	side	side	NOUN
asir-4876	30	23	slots	slot	NOUN
asir-4876	30	24	.	.	PUNCT
asir-4876	31	1	let	let	VERB
asir-4876	31	2	’s	’s	NOUN
asir-4876	31	3	give	give	VERB
asir-4876	31	4	the	the	DET
asir-4876	31	5	author	author	NOUN
asir-4876	31	6	the	the	DET
asir-4876	31	7	right	right	NOUN
asir-4876	31	8	to	to	ADP
asir-4876	31	9	such	such	ADJ
asir-4876	31	10	terminology	terminology	NOUN
asir-4876	31	11	,	,	PUNCT
asir-4876	31	12	but	but	CCONJ
asir-4876	31	13	it	it	PRON
asir-4876	31	14	is	be	AUX
asir-4876	31	15	necessary	necessary	ADJ
asir-4876	31	16	to	to	PART
asir-4876	31	17	change	change	VERB
asir-4876	31	18	the	the	DET
asir-4876	31	19	order	order	NOUN
asir-4876	31	20	of	of	ADP
asir-4876	31	21	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-4876	31	22	applied	apply	VERB
asir-4876	31	23	science	science	NOUN
asir-4876	31	24	and	and	CCONJ
asir-4876	31	25	innovative	innovative	ADJ
asir-4876	31	26	research	research	NOUN
asir-4876	31	27	vol	vol	NOUN
asir-4876	31	28	.	.	PROPN
asir-4876	32	1	6	6	NUM
asir-4876	32	2	,	,	PUNCT
asir-4876	32	3	no	no	INTJ
asir-4876	32	4	.	.	NOUN
asir-4876	32	5	3	3	NUM
asir-4876	32	6	,	,	PUNCT
asir-4876	32	7	2022	2022	NUM
asir-4876	32	8	3	3	NUM
asir-4876	32	9	published	publish	VERB
asir-4876	32	10	by	by	ADP
asir-4876	32	11	scholink	scholink	PROPN
asir-4876	32	12	inc	inc	PROPN
asir-4876	32	13	.	.	PUNCT
asir-4876	33	1	the	the	DET
asir-4876	33	2	listed	list	VERB
asir-4876	33	3	deficiencies	deficiency	NOUN
asir-4876	33	4	,	,	PUNCT
asir-4876	33	5	since	since	SCONJ
asir-4876	33	6	the	the	DET
asir-4876	33	7	main	main	ADJ
asir-4876	33	8	deficiency	deficiency	NOUN
asir-4876	33	9	is	be	AUX
asir-4876	33	10	the	the	DET
asir-4876	33	11	weak	weak	ADJ
asir-4876	33	12	interest	interest	NOUN
asir-4876	33	13	to	to	ADP
asir-4876	33	14	the	the	DET
asir-4876	33	15	side	side	NOUN
asir-4876	33	16	slots	slot	NOUN
asir-4876	33	17	.	.	PUNCT
asir-4876	34	1	it	it	PRON
asir-4876	34	2	may	may	AUX
asir-4876	34	3	seem	seem	VERB
asir-4876	34	4	surprising	surprising	ADJ
asir-4876	34	5	,	,	PUNCT
asir-4876	34	6	but	but	CCONJ
asir-4876	34	7	the	the	DET
asir-4876	34	8	closest	close	ADJ
asir-4876	34	9	relatives	relative	NOUN
asir-4876	34	10	of	of	ADP
asir-4876	34	11	microstrip	microstrip	NOUN
asir-4876	34	12	antennas	antenna	NOUN
asir-4876	34	13	should	should	AUX
asir-4876	34	14	be	be	AUX
asir-4876	34	15	considered	consider	VERB
asir-4876	34	16	volume	volume	NOUN
asir-4876	34	17	antennas	antenna	NOUN
asir-4876	34	18	located	locate	VERB
asir-4876	34	19	on	on	ADP
asir-4876	34	20	a	a	DET
asir-4876	34	21	cone	cone	NOUN
asir-4876	34	22	,	,	PUNCT
asir-4876	34	23	a	a	DET
asir-4876	34	24	paraboloid	paraboloid	NOUN
asir-4876	34	25	and	and	CCONJ
asir-4876	34	26	a	a	DET
asir-4876	34	27	pyramid	pyramid	NOUN
asir-4876	34	28	shown	show	VERB
asir-4876	34	29	in	in	ADP
asir-4876	34	30	figure	figure	NOUN
asir-4876	34	31	2	2	NUM
asir-4876	34	32	.	.	PUNCT
asir-4876	35	1	all	all	PRON
asir-4876	35	2	of	of	ADP
asir-4876	35	3	the	the	DET
asir-4876	35	4	listed	list	VERB
asir-4876	35	5	antennas	antenna	NOUN
asir-4876	35	6	consist	consist	VERB
asir-4876	35	7	of	of	ADP
asir-4876	35	8	two	two	NUM
asir-4876	35	9	symmetrical	symmetrical	ADJ
asir-4876	35	10	radiators	radiator	NOUN
asir-4876	35	11	:	:	PUNCT
asir-4876	35	12	metal	metal	NOUN
asir-4876	35	13	and	and	CCONJ
asir-4876	35	14	slotted	slotted	ADJ
asir-4876	35	15	,	,	PUNCT
asir-4876	35	16	located	locate	VERB
asir-4876	35	17	under	under	ADP
asir-4876	35	18	a	a	DET
asir-4876	35	19	right	right	ADJ
asir-4876	35	20	angle	angle	NOUN
asir-4876	35	21	to	to	ADP
asir-4876	35	22	each	each	DET
asir-4876	35	23	other	other	ADJ
asir-4876	35	24	.	.	PUNCT
asir-4876	36	1	they	they	PRON
asir-4876	36	2	are	be	AUX
asir-4876	36	3	excited	excited	ADJ
asir-4876	36	4	at	at	ADP
asir-4876	36	5	the	the	DET
asir-4876	36	6	point	point	NOUN
asir-4876	36	7	located	locate	VERB
asir-4876	36	8	on	on	ADP
asir-4876	36	9	the	the	DET
asir-4876	36	10	top	top	NOUN
asir-4876	36	11	of	of	ADP
asir-4876	36	12	a	a	DET
asir-4876	36	13	cone	cone	NOUN
asir-4876	36	14	,	,	PUNCT
asir-4876	36	15	a	a	DET
asir-4876	36	16	paraboloid	paraboloid	NOUN
asir-4876	36	17	and	and	CCONJ
asir-4876	36	18	a	a	DET
asir-4876	36	19	pyramid	pyramid	NOUN
asir-4876	36	20	.	.	PUNCT
asir-4876	37	1	figure	figure	NOUN
asir-4876	37	2	2	2	NUM
asir-4876	37	3	.	.	NOUN
asir-4876	37	4	antenna	antenna	NOUN
asir-4876	37	5	on	on	ADP
asir-4876	37	6	a	a	DET
asir-4876	37	7	cone	cone	NOUN
asir-4876	37	8	(	(	PUNCT
asir-4876	37	9	a	a	NOUN
asir-4876	37	10	)	)	PUNCT
asir-4876	37	11	,	,	PUNCT
asir-4876	37	12	a	a	DET
asir-4876	37	13	paraboloid	paraboloid	ADJ
asir-4876	37	14	(	(	PUNCT
asir-4876	37	15	b	b	NOUN
asir-4876	37	16	)	)	PUNCT
asir-4876	37	17	and	and	CCONJ
asir-4876	37	18	a	a	DET
asir-4876	37	19	pyramid	pyramid	NOUN
asir-4876	37	20	(	(	PUNCT
asir-4876	37	21	c	c	NOUN
asir-4876	37	22	)	)	PUNCT
asir-4876	37	23	antennas	antenna	NOUN
asir-4876	37	24	located	locate	VERB
asir-4876	37	25	on	on	ADP
asir-4876	37	26	a	a	DET
asir-4876	37	27	cone	cone	NOUN
asir-4876	37	28	and	and	CCONJ
asir-4876	37	29	a	a	DET
asir-4876	37	30	paraboloid	paraboloid	NOUN
asir-4876	37	31	are	be	AUX
asir-4876	37	32	usually	usually	ADV
asir-4876	37	33	called	call	VERB
asir-4876	37	34	complementary	complementary	ADJ
asir-4876	37	35	or	or	CCONJ
asir-4876	37	36	self	self	NOUN
asir-4876	37	37	-	-	PUNCT
asir-4876	37	38	complementary	complementary	ADJ
asir-4876	37	39	,	,	PUNCT
asir-4876	37	40	but	but	CCONJ
asir-4876	37	41	it	it	PRON
asir-4876	37	42	would	would	AUX
asir-4876	37	43	be	be	AUX
asir-4876	37	44	more	more	ADV
asir-4876	37	45	correct	correct	ADJ
asir-4876	37	46	to	to	PART
asir-4876	37	47	call	call	VERB
asir-4876	37	48	them	they	PRON
asir-4876	37	49	self	self	NOUN
asir-4876	37	50	-	-	PUNCT
asir-4876	37	51	complementary	complementary	ADJ
asir-4876	37	52	antennas	antenna	NOUN
asir-4876	37	53	of	of	ADP
asir-4876	37	54	limited	limited	ADJ
asir-4876	37	55	dimensions	dimension	NOUN
asir-4876	37	56	,	,	PUNCT
asir-4876	37	57	in	in	ADP
asir-4876	37	58	contrast	contrast	NOUN
asir-4876	37	59	to	to	ADP
asir-4876	37	60	flat	flat	ADJ
asir-4876	37	61	selfcomplementary	selfcomplementary	ADJ
asir-4876	37	62	antennas	antenna	NOUN
asir-4876	37	63	that	that	PRON
asir-4876	37	64	occupy	occupy	VERB
asir-4876	37	65	the	the	DET
asir-4876	37	66	entire	entire	ADJ
asir-4876	37	67	infinite	infinite	ADJ
asir-4876	37	68	plane	plane	NOUN
asir-4876	37	69	.	.	PUNCT
asir-4876	38	1	the	the	DET
asir-4876	38	2	surface	surface	NOUN
asir-4876	38	3	of	of	ADP
asir-4876	38	4	an	an	DET
asir-4876	38	5	antenna	antenna	NOUN
asir-4876	38	6	on	on	ADP
asir-4876	38	7	the	the	DET
asir-4876	38	8	pyramid	pyramid	NOUN
asir-4876	38	9	is	be	AUX
asir-4876	38	10	not	not	PART
asir-4876	38	11	a	a	DET
asir-4876	38	12	smooth	smooth	ADJ
asir-4876	38	13	surface	surface	NOUN
asir-4876	38	14	of	of	ADP
asir-4876	38	15	rotation	rotation	NOUN
asir-4876	38	16	with	with	ADP
asir-4876	38	17	axial	axial	ADJ
asir-4876	38	18	symmetry	symmetry	NOUN
asir-4876	38	19	and	and	CCONJ
asir-4876	38	20	strictly	strictly	ADV
asir-4876	38	21	speaking	speak	VERB
asir-4876	38	22	such	such	DET
asir-4876	38	23	an	an	DET
asir-4876	38	24	antenna	antenna	NOUN
asir-4876	38	25	can	can	AUX
asir-4876	38	26	not	not	PART
asir-4876	38	27	be	be	AUX
asir-4876	38	28	called	call	VERB
asir-4876	38	29	complementary	complementary	ADJ
asir-4876	38	30	.	.	PUNCT
asir-4876	39	1	but	but	CCONJ
asir-4876	39	2	its	its	PRON
asir-4876	39	3	characteristics	characteristic	NOUN
asir-4876	39	4	are	be	AUX
asir-4876	39	5	similar	similar	ADJ
asir-4876	39	6	to	to	ADP
asir-4876	39	7	those	those	PRON
asir-4876	39	8	of	of	ADP
asir-4876	39	9	complementary	complementary	ADJ
asir-4876	39	10	antennas	antenna	NOUN
asir-4876	39	11	.	.	PUNCT
asir-4876	40	1	the	the	DET
asir-4876	40	2	upper	upper	ADJ
asir-4876	40	3	and	and	CCONJ
asir-4876	40	4	lower	low	ADJ
asir-4876	40	5	faces	face	NOUN
asir-4876	40	6	of	of	ADP
asir-4876	40	7	the	the	DET
asir-4876	40	8	pyramid	pyramid	NOUN
asir-4876	40	9	are	be	AUX
asir-4876	40	10	made	make	VERB
asir-4876	40	11	metallic	metallic	ADJ
asir-4876	40	12	and	and	CCONJ
asir-4876	40	13	they	they	PRON
asir-4876	40	14	form	form	VERB
asir-4876	40	15	an	an	DET
asir-4876	40	16	electric	electric	ADJ
asir-4876	40	17	dipole	dipole	NOUN
asir-4876	40	18	;	;	PUNCT
asir-4876	40	19	the	the	DET
asir-4876	40	20	two	two	NUM
asir-4876	40	21	side	side	NOUN
asir-4876	40	22	faces	face	NOUN
asir-4876	40	23	are	be	AUX
asir-4876	40	24	slots	slot	NOUN
asir-4876	40	25	and	and	CCONJ
asir-4876	40	26	they	they	PRON
asir-4876	40	27	form	form	VERB
asir-4876	40	28	a	a	DET
asir-4876	40	29	magnetic	magnetic	ADJ
asir-4876	40	30	dipole	dipole	NOUN
asir-4876	40	31	.	.	PUNCT
asir-4876	41	1	the	the	DET
asir-4876	41	2	pyramid	pyramid	PROPN
asir-4876	41	3	cross	cross	NOUN
asir-4876	41	4	-	-	NOUN
asir-4876	41	5	section	section	NOUN
asir-4876	41	6	has	have	VERB
asir-4876	41	7	a	a	DET
asir-4876	41	8	rectangular	rectangular	ADJ
asir-4876	41	9	shape	shape	NOUN
asir-4876	41	10	.	.	PUNCT
asir-4876	42	1	such	such	ADJ
asir-4876	42	2	structure	structure	NOUN
asir-4876	42	3	is	be	AUX
asir-4876	42	4	easier	easy	ADJ
asir-4876	42	5	to	to	PART
asir-4876	42	6	realize	realize	VERB
asir-4876	42	7	,	,	PUNCT
asir-4876	42	8	than	than	ADP
asir-4876	42	9	for	for	ADP
asir-4876	42	10	example	example	NOUN
asir-4876	42	11	conical	conical	NOUN
asir-4876	42	12	,	,	PUNCT
asir-4876	42	13	and	and	CCONJ
asir-4876	42	14	on	on	ADP
asir-4876	42	15	medium	medium	ADJ
asir-4876	42	16	waves	wave	NOUN
asir-4876	42	17	the	the	DET
asir-4876	42	18	lower	low	ADJ
asir-4876	42	19	arm	arm	NOUN
asir-4876	42	20	of	of	ADP
asir-4876	42	21	the	the	DET
asir-4876	42	22	antenna	antenna	NOUN
asir-4876	42	23	is	be	AUX
asir-4876	42	24	created	create	VERB
asir-4876	42	25	as	as	ADP
asir-4876	42	26	a	a	DET
asir-4876	42	27	reflection	reflection	NOUN
asir-4876	42	28	of	of	ADP
asir-4876	42	29	the	the	DET
asir-4876	42	30	upper	upper	ADJ
asir-4876	42	31	arm	arm	NOUN
asir-4876	42	32	in	in	ADP
asir-4876	42	33	the	the	DET
asir-4876	42	34	ground	ground	NOUN
asir-4876	42	35	.	.	PUNCT
asir-4876	43	1	as	as	SCONJ
asir-4876	43	2	can	can	AUX
asir-4876	43	3	be	be	AUX
asir-4876	43	4	seen	see	VERB
asir-4876	43	5	from	from	ADP
asir-4876	43	6	figure	figure	NOUN
asir-4876	43	7	2с	2с	NUM
asir-4876	43	8	,	,	PUNCT
asir-4876	43	9	the	the	DET
asir-4876	43	10	pyramid	pyramid	NOUN
asir-4876	43	11	structure	structure	NOUN
asir-4876	43	12	is	be	AUX
asir-4876	43	13	closest	close	ADJ
asir-4876	43	14	to	to	ADP
asir-4876	43	15	the	the	DET
asir-4876	43	16	structure	structure	NOUN
asir-4876	43	17	of	of	ADP
asir-4876	43	18	the	the	DET
asir-4876	43	19	microstrip	microstrip	NOUN
asir-4876	43	20	antenna	antenna	NOUN
asir-4876	43	21	.	.	PUNCT
asir-4876	44	1	in	in	ADP
asir-4876	44	2	the	the	DET
asir-4876	44	3	case	case	NOUN
asir-4876	44	4	of	of	ADP
asir-4876	44	5	the	the	DET
asir-4876	44	6	microstrip	microstrip	NOUN
asir-4876	44	7	antenna	antenna	NOUN
asir-4876	44	8	the	the	DET
asir-4876	44	9	upper	upper	ADJ
asir-4876	44	10	and	and	CCONJ
asir-4876	44	11	lower	low	ADJ
asir-4876	44	12	trapezoid	trapezoid	ADJ
asir-4876	44	13	faces	face	NOUN
asir-4876	44	14	of	of	ADP
asir-4876	44	15	the	the	DET
asir-4876	44	16	pyramid	pyramid	NOUN
asir-4876	44	17	are	be	AUX
asir-4876	44	18	replaced	replace	VERB
asir-4876	44	19	by	by	ADP
asir-4876	44	20	rectangular	rectangular	ADJ
asir-4876	44	21	strips	strip	NOUN
asir-4876	44	22	,	,	PUNCT
asir-4876	44	23	and	and	CCONJ
asir-4876	44	24	the	the	DET
asir-4876	44	25	metal	metal	NOUN
asir-4876	44	26	strips	strip	NOUN
asir-4876	44	27	of	of	ADP
asir-4876	44	28	the	the	DET
asir-4876	44	29	antenna	antenna	NOUN
asir-4876	44	30	and	and	CCONJ
asir-4876	44	31	the	the	DET
asir-4876	44	32	feed	feed	NOUN
asir-4876	44	33	line	line	NOUN
asir-4876	44	34	are	be	AUX
asir-4876	44	35	joined	join	VERB
asir-4876	44	36	with	with	ADP
asir-4876	44	37	each	each	DET
asir-4876	44	38	other	other	ADJ
asir-4876	44	39	.	.	PUNCT
asir-4876	45	1	the	the	DET
asir-4876	45	2	slot	slot	NOUN
asir-4876	45	3	radiator	radiator	NOUN
asir-4876	45	4	is	be	AUX
asir-4876	45	5	also	also	ADV
asir-4876	45	6	rectangular	rectangular	ADJ
asir-4876	45	7	,	,	PUNCT
asir-4876	45	8	although	although	SCONJ
asir-4876	45	9	its	its	PRON
asir-4876	45	10	width	width	NOUN
asir-4876	45	11	is	be	AUX
asir-4876	45	12	substantially	substantially	ADV
asir-4876	45	13	less	less	ADJ
asir-4876	45	14	than	than	ADP
asir-4876	45	15	the	the	DET
asir-4876	45	16	width	width	NOUN
asir-4876	45	17	of	of	ADP
asir-4876	45	18	the	the	DET
asir-4876	45	19	metal	metal	NOUN
asir-4876	45	20	radiator	radiator	NOUN
asir-4876	45	21	.	.	PUNCT
asir-4876	46	1	basically	basically	ADV
asir-4876	46	2	,	,	PUNCT
asir-4876	46	3	microstrip	microstrip	NOUN
asir-4876	46	4	antenna	antenna	NOUN
asir-4876	46	5	is	be	AUX
asir-4876	46	6	no	no	ADV
asir-4876	46	7	different	different	ADJ
asir-4876	46	8	from	from	ADP
asir-4876	46	9	the	the	DET
asir-4876	46	10	structure	structure	NOUN
asir-4876	46	11	of	of	ADP
asir-4876	46	12	the	the	DET
asir-4876	46	13	antenna	antenna	NOUN
asir-4876	46	14	located	locate	VERB
asir-4876	46	15	on	on	ADP
asir-4876	46	16	the	the	DET
asir-4876	46	17	pyramid	pyramid	NOUN
asir-4876	46	18	.	.	PUNCT
asir-4876	47	1	the	the	DET
asir-4876	47	2	differences	difference	NOUN
asir-4876	47	3	are	be	AUX
asir-4876	47	4	minor	minor	ADJ
asir-4876	47	5	.	.	PUNCT
asir-4876	48	1	from	from	ADP
asir-4876	48	2	said	say	VERB
asir-4876	48	3	,	,	PUNCT
asir-4876	48	4	it	it	PRON
asir-4876	48	5	follows	follow	VERB
asir-4876	48	6	that	that	SCONJ
asir-4876	48	7	the	the	DET
asir-4876	48	8	all	all	DET
asir-4876	48	9	elements	element	NOUN
asir-4876	48	10	of	of	ADP
asir-4876	48	11	the	the	DET
asir-4876	48	12	so	so	ADV
asir-4876	48	13	-	-	PUNCT
asir-4876	48	14	called	call	VERB
asir-4876	48	15	transmission	transmission	NOUN
asir-4876	48	16	-	-	PUNCT
asir-4876	48	17	line	line	NOUN
asir-4876	48	18	located	locate	VERB
asir-4876	48	19	along	along	ADP
asir-4876	48	20	the	the	DET
asir-4876	48	21	length	length	NOUN
asir-4876	48	22	l	l	NOUN
asir-4876	48	23	,	,	PUNCT
asir-4876	48	24	do	do	AUX
asir-4876	48	25	not	not	PART
asir-4876	48	26	simply	simply	ADV
asir-4876	48	27	transfer	transfer	VERB
asir-4876	48	28	energy	energy	NOUN
asir-4876	48	29	from	from	ADP
asir-4876	48	30	an	an	DET
asir-4876	48	31	excitation	excitation	NOUN
asir-4876	48	32	point	point	NOUN
asir-4876	48	33	to	to	ADP
asir-4876	48	34	an	an	DET
asir-4876	48	35	aperture	aperture	NOUN
asir-4876	48	36	at	at	ADP
asir-4876	48	37	an	an	DET
asir-4876	48	38	opposite	opposite	ADJ
asir-4876	48	39	end	end	NOUN
asir-4876	48	40	,	,	PUNCT
asir-4876	48	41	but	but	CCONJ
asir-4876	48	42	radiate	radiate	VERB
asir-4876	48	43	the	the	DET
asir-4876	48	44	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-4876	48	45	applied	apply	VERB
asir-4876	48	46	science	science	NOUN
asir-4876	48	47	and	and	CCONJ
asir-4876	48	48	innovative	innovative	ADJ
asir-4876	48	49	research	research	NOUN
asir-4876	48	50	vol	vol	NOUN
asir-4876	48	51	.	.	PROPN
asir-4876	49	1	6	6	NUM
asir-4876	49	2	,	,	PUNCT
asir-4876	49	3	no	no	INTJ
asir-4876	49	4	.	.	NOUN
asir-4876	49	5	3	3	NUM
asir-4876	49	6	,	,	PUNCT
asir-4876	49	7	2022	2022	NUM
asir-4876	49	8	4	4	NUM
asir-4876	49	9	published	publish	VERB
asir-4876	49	10	by	by	ADP
asir-4876	49	11	scholink	scholink	PROPN
asir-4876	49	12	inc	inc	PROPN
asir-4876	49	13	.	.	PROPN
asir-4876	49	14	signal	signal	PROPN
asir-4876	49	15	,	,	PUNCT
asir-4876	49	16	i.e.	i.e.	X
asir-4876	49	17	,	,	PUNCT
asir-4876	49	18	all	all	DET
asir-4876	49	19	elements	element	NOUN
asir-4876	49	20	that	that	PRON
asir-4876	49	21	make	make	VERB
asir-4876	49	22	up	up	ADP
asir-4876	49	23	a	a	DET
asir-4876	49	24	transmitting	transmit	VERB
asir-4876	49	25	strip	strip	NOUN
asir-4876	49	26	antenna	antenna	NOUN
asir-4876	49	27	create	create	VERB
asir-4876	49	28	the	the	DET
asir-4876	49	29	field	field	NOUN
asir-4876	49	30	just	just	ADV
asir-4876	49	31	like	like	ADP
asir-4876	49	32	all	all	DET
asir-4876	49	33	elements	element	NOUN
asir-4876	49	34	of	of	ADP
asir-4876	49	35	a	a	DET
asir-4876	49	36	two	two	NUM
asir-4876	49	37	-	-	PUNCT
asir-4876	49	38	wire	wire	NOUN
asir-4876	49	39	line	line	NOUN
asir-4876	49	40	radiate	radiate	VERB
asir-4876	49	41	weak	weak	ADJ
asir-4876	49	42	signals	signal	NOUN
asir-4876	49	43	,	,	PUNCT
asir-4876	49	44	if	if	SCONJ
asir-4876	49	45	the	the	DET
asir-4876	49	46	distance	distance	NOUN
asir-4876	49	47	between	between	ADP
asir-4876	49	48	the	the	DET
asir-4876	49	49	wires	wire	NOUN
asir-4876	49	50	is	be	AUX
asir-4876	49	51	not	not	PART
asir-4876	49	52	zero	zero	NUM
asir-4876	49	53	.	.	PUNCT
asir-4876	50	1	ignoring	ignore	VERB
asir-4876	50	2	this	this	DET
asir-4876	50	3	radiation	radiation	NOUN
asir-4876	50	4	is	be	AUX
asir-4876	50	5	the	the	DET
asir-4876	50	6	main	main	ADJ
asir-4876	50	7	disadvantage	disadvantage	NOUN
asir-4876	50	8	of	of	ADP
asir-4876	50	9	the	the	DET
asir-4876	50	10	so	so	ADV
asir-4876	50	11	-	-	PUNCT
asir-4876	50	12	called	call	VERB
asir-4876	50	13	transmission	transmission	NOUN
asir-4876	50	14	-	-	PUNCT
asir-4876	50	15	line	line	NOUN
asir-4876	50	16	model	model	NOUN
asir-4876	50	17	.	.	PUNCT
asir-4876	51	1	wave	wave	NOUN
asir-4876	51	2	attenuation	attenuation	NOUN
asir-4876	51	3	in	in	ADP
asir-4876	51	4	the	the	DET
asir-4876	51	5	antenna	antenna	NOUN
asir-4876	51	6	substrate	substrate	NOUN
asir-4876	51	7	can	can	AUX
asir-4876	51	8	not	not	PART
asir-4876	51	9	serve	serve	VERB
asir-4876	51	10	as	as	ADP
asir-4876	51	11	its	its	PRON
asir-4876	51	12	justification	justification	NOUN
asir-4876	51	13	.	.	PUNCT
asir-4876	52	1	2	2	X
asir-4876	52	2	.	.	X
asir-4876	52	3	structure	structure	NOUN
asir-4876	52	4	of	of	ADP
asir-4876	52	5	microstrip	microstrip	NOUN
asir-4876	52	6	antenna	antenna	NOUN
asir-4876	52	7	let	let	VERB
asir-4876	52	8	us	we	PRON
asir-4876	52	9	compare	compare	VERB
asir-4876	52	10	the	the	DET
asir-4876	52	11	microstrip	microstrip	NOUN
asir-4876	52	12	antenna	antenna	NOUN
asir-4876	52	13	with	with	ADP
asir-4876	52	14	the	the	DET
asir-4876	52	15	antenna	antenna	NOUN
asir-4876	52	16	on	on	ADP
asir-4876	52	17	the	the	DET
asir-4876	52	18	pyramid	pyramid	NOUN
asir-4876	52	19	,	,	PUNCT
asir-4876	52	20	not	not	PART
asir-4876	52	21	taking	take	VERB
asir-4876	52	22	into	into	ADP
asir-4876	52	23	account	account	NOUN
asir-4876	52	24	the	the	DET
asir-4876	52	25	permittivity	permittivity	NOUN
asir-4876	52	26	of	of	ADP
asir-4876	52	27	the	the	DET
asir-4876	52	28	substrate	substrate	NOUN
asir-4876	52	29	.	.	PUNCT
asir-4876	53	1	a	a	DET
asir-4876	53	2	cross	cross	NOUN
asir-4876	53	3	-	-	NOUN
asir-4876	53	4	section	section	NOUN
asir-4876	53	5	of	of	ADP
asir-4876	53	6	the	the	DET
asir-4876	53	7	microstrip	microstrip	NOUN
asir-4876	53	8	antenna	antenna	NOUN
asir-4876	53	9	is	be	AUX
asir-4876	53	10	given	give	VERB
asir-4876	53	11	in	in	ADP
asir-4876	53	12	figure	figure	NOUN
asir-4876	53	13	3a	3a	NUM
asir-4876	53	14	.	.	PUNCT
asir-4876	54	1	the	the	DET
asir-4876	54	2	dotted	dotted	ADJ
asir-4876	54	3	line	line	NOUN
asir-4876	54	4	in	in	ADP
asir-4876	54	5	the	the	DET
asir-4876	54	6	figure	figure	NOUN
asir-4876	54	7	shows	show	VERB
asir-4876	54	8	a	a	DET
asir-4876	54	9	mirror	mirror	NOUN
asir-4876	54	10	image	image	NOUN
asir-4876	54	11	in	in	ADP
asir-4876	54	12	the	the	DET
asir-4876	54	13	metal	metal	NOUN
asir-4876	54	14	plane	plane	NOUN
asir-4876	54	15	of	of	ADP
asir-4876	54	16	grounding	grounding	NOUN
asir-4876	54	17	.	.	PUNCT
asir-4876	55	1	the	the	DET
asir-4876	55	2	capacitance	capacitance	NOUN
asir-4876	55	3	of	of	ADP
asir-4876	55	4	the	the	DET
asir-4876	55	5	symmetric	symmetric	ADJ
asir-4876	55	6	structure	structure	NOUN
asir-4876	55	7	between	between	ADP
asir-4876	55	8	a	a	DET
asir-4876	55	9	microstrip	microstrip	NOUN
asir-4876	55	10	antenna	antenna	NOUN
asir-4876	55	11	and	and	CCONJ
asir-4876	55	12	its	its	PRON
asir-4876	55	13	mirror	mirror	NOUN
asir-4876	55	14	image	image	NOUN
asir-4876	55	15	is	be	AUX
asir-4876	55	16	two	two	NUM
asir-4876	55	17	times	time	NOUN
asir-4876	55	18	less	less	ADJ
asir-4876	55	19	than	than	ADP
asir-4876	55	20	the	the	DET
asir-4876	55	21	capacitance	capacitance	NOUN
asir-4876	55	22	of	of	ADP
asir-4876	55	23	the	the	DET
asir-4876	55	24	asymmetric	asymmetric	ADJ
asir-4876	55	25	structure	structure	NOUN
asir-4876	55	26	.	.	PUNCT
asir-4876	56	1	considering	consider	VERB
asir-4876	56	2	the	the	DET
asir-4876	56	3	microstrip	microstrip	NOUN
asir-4876	56	4	antenna	antenna	NOUN
asir-4876	56	5	as	as	ADP
asir-4876	56	6	a	a	DET
asir-4876	56	7	combination	combination	NOUN
asir-4876	56	8	of	of	ADP
asir-4876	56	9	two	two	NUM
asir-4876	56	10	longitudinal	longitudinal	ADJ
asir-4876	56	11	radiators	radiator	NOUN
asir-4876	56	12	:	:	PUNCT
asir-4876	56	13	metal	metal	NOUN
asir-4876	56	14	and	and	CCONJ
asir-4876	56	15	slot	slot	NOUN
asir-4876	56	16	,	,	PUNCT
asir-4876	56	17	we	we	PRON
asir-4876	56	18	determine	determine	VERB
asir-4876	56	19	an	an	DET
asir-4876	56	20	input	input	NOUN
asir-4876	56	21	impedance	impedance	NOUN
asir-4876	56	22	of	of	ADP
asir-4876	56	23	each	each	DET
asir-4876	56	24	one	one	NUM
asir-4876	56	25	.	.	PUNCT
asir-4876	57	1	the	the	DET
asir-4876	57	2	capacitance	capacitance	NOUN
asir-4876	57	3	of	of	ADP
asir-4876	57	4	a	a	DET
asir-4876	57	5	metal	metal	NOUN
asir-4876	57	6	radiator	radiator	NOUN
asir-4876	57	7	per	per	ADP
asir-4876	57	8	unit	unit	NOUN
asir-4876	57	9	length	length	NOUN
asir-4876	57	10	can	can	AUX
asir-4876	57	11	be	be	AUX
asir-4876	57	12	calculated	calculate	VERB
asir-4876	57	13	as	as	ADP
asir-4876	57	14	the	the	DET
asir-4876	57	15	capacitance	capacitance	NOUN
asir-4876	57	16	between	between	ADP
asir-4876	57	17	two	two	NUM
asir-4876	57	18	identical	identical	ADJ
asir-4876	57	19	plates	plate	NOUN
asir-4876	57	20	with	with	ADP
asir-4876	57	21	a	a	DET
asir-4876	57	22	common	common	ADJ
asir-4876	57	23	plane	plane	NOUN
asir-4876	57	24	of	of	ADP
asir-4876	57	25	symmetry	symmetry	NOUN
asir-4876	57	26	.	.	PUNCT
asir-4876	58	1	figure	figure	VERB
asir-4876	58	2	3	3	NUM
asir-4876	58	3	.	.	PUNCT
asir-4876	59	1	cross	cross	NOUN
asir-4876	59	2	-	-	NOUN
asir-4876	59	3	section	section	NOUN
asir-4876	59	4	of	of	ADP
asir-4876	59	5	a	a	DET
asir-4876	59	6	microstrip	microstrip	NOUN
asir-4876	59	7	(	(	PUNCT
asir-4876	59	8	a	a	NOUN
asir-4876	59	9	)	)	PUNCT
asir-4876	59	10	and	and	CCONJ
asir-4876	59	11	a	a	DET
asir-4876	59	12	cylindrical	cylindrical	ADJ
asir-4876	59	13	(	(	PUNCT
asir-4876	59	14	b	b	NOUN
asir-4876	59	15	)	)	PUNCT
asir-4876	59	16	antenna	antenna	NOUN
asir-4876	59	17	a	a	DET
asir-4876	59	18	strict	strict	ADJ
asir-4876	59	19	expression	expression	NOUN
asir-4876	59	20	for	for	ADP
asir-4876	59	21	its	its	PRON
asir-4876	59	22	calculation	calculation	NOUN
asir-4876	59	23	contains	contain	VERB
asir-4876	59	24	complete	complete	ADJ
asir-4876	59	25	and	and	CCONJ
asir-4876	59	26	incomplete	incomplete	ADJ
asir-4876	59	27	elliptic	elliptic	ADJ
asir-4876	59	28	integrals	integral	NOUN
asir-4876	59	29	of	of	ADP
asir-4876	59	30	the	the	DET
asir-4876	59	31	first	first	ADJ
asir-4876	59	32	and	and	CCONJ
asir-4876	59	33	second	second	ADJ
asir-4876	59	34	kind	kind	NOUN
asir-4876	59	35	and	and	CCONJ
asir-4876	59	36	requires	require	VERB
asir-4876	59	37	the	the	DET
asir-4876	59	38	solution	solution	NOUN
asir-4876	59	39	of	of	ADP
asir-4876	59	40	an	an	DET
asir-4876	59	41	equation	equation	NOUN
asir-4876	59	42	consisting	consist	VERB
asir-4876	59	43	of	of	ADP
asir-4876	59	44	such	such	ADJ
asir-4876	59	45	functions	function	NOUN
asir-4876	59	46	.	.	PUNCT
asir-4876	60	1	for	for	SCONJ
asir-4876	60	2	calculations	calculation	NOUN
asir-4876	60	3	approximate	approximate	ADJ
asir-4876	60	4	functions	function	NOUN
asir-4876	60	5	can	can	AUX
asir-4876	60	6	be	be	AUX
asir-4876	60	7	used	use	VERB
asir-4876	60	8	.	.	PUNCT
asir-4876	61	1	here	here	ADV
asir-4876	61	2	and	and	CCONJ
asir-4876	61	3	below	below	ADV
asir-4876	61	4	,	,	PUNCT
asir-4876	61	5	we	we	PRON
asir-4876	61	6	extensive	extensive	ADJ
asir-4876	61	7	will	will	AUX
asir-4876	61	8	use	use	VERB
asir-4876	61	9	the	the	DET
asir-4876	61	10	formulas	formula	NOUN
asir-4876	61	11	given	give	VERB
asir-4876	61	12	in	in	ADP
asir-4876	61	13	(	(	PUNCT
asir-4876	61	14	iossel	iossel	ADJ
asir-4876	61	15	,	,	PUNCT
asir-4876	61	16	kochanov	kochanov	NOUN
asir-4876	61	17	,	,	PUNCT
asir-4876	61	18	&	&	CCONJ
asir-4876	61	19	strunsky	strunsky	PROPN
asir-4876	61	20	,	,	PUNCT
asir-4876	61	21	1981	1981	NUM
asir-4876	61	22	)	)	PUNCT
asir-4876	61	23	.	.	PUNCT
asir-4876	62	1	if	if	SCONJ
asir-4876	62	2	the	the	DET
asir-4876	62	3	width	width	NOUN
asir-4876	62	4	of	of	ADP
asir-4876	62	5	the	the	DET
asir-4876	62	6	metal	metal	NOUN
asir-4876	62	7	plate	plate	NOUN
asir-4876	62	8	is	be	AUX
asir-4876	62	9	equal	equal	ADJ
asir-4876	62	10	to	to	ADP
asir-4876	62	11	b	b	NOUN
asir-4876	62	12	,	,	PUNCT
asir-4876	62	13	and	and	CCONJ
asir-4876	62	14	the	the	DET
asir-4876	62	15	distance	distance	NOUN
asir-4876	62	16	between	between	ADP
asir-4876	62	17	the	the	DET
asir-4876	62	18	plates	plate	NOUN
asir-4876	62	19	is	be	AUX
asir-4876	62	20	𝑑	𝑑	NOUN
asir-4876	62	21	,	,	PUNCT
asir-4876	62	22	then	then	ADV
asir-4876	62	23	at	at	ADP
asir-4876	62	24	𝑏	𝑏	PROPN
asir-4876	62	25	𝑑	𝑑	PROPN
asir-4876	62	26	>	>	X
asir-4876	62	27	27⁄	27⁄	NUM
asir-4876	62	28	the	the	DET
asir-4876	62	29	capacitance	capacitance	NOUN
asir-4876	62	30	between	between	ADP
asir-4876	62	31	the	the	DET
asir-4876	62	32	plates	plate	NOUN
asir-4876	62	33	per	per	ADP
asir-4876	62	34	unit	unit	NOUN
asir-4876	62	35	length	length	NOUN
asir-4876	62	36	is	be	AUX
asir-4876	62	37	𝐶𝑙	𝐶𝑙	PROPN
asir-4876	62	38	≈	≈	PROPN
asir-4876	62	39	𝜀	𝜀	PROPN
asir-4876	62	40	𝑏	𝑏	DET
asir-4876	62	41	𝑑⁄	𝑑⁄	PROPN
asir-4876	62	42	.	.	PUNCT
asir-4876	63	1	when	when	SCONJ
asir-4876	63	2	𝐶𝑙	𝐶𝑙	PROPN
asir-4876	63	3	≈	≈	PROPN
asir-4876	63	4	𝜀	𝜀	PROPN
asir-4876	63	5	𝑏	𝑏	PROPN
asir-4876	63	6	𝑑	𝑑	PROPN
asir-4876	63	7	{	{	PUNCT
asir-4876	63	8	1	1	NUM
asir-4876	63	9	+	+	CCONJ
asir-4876	63	10	𝑑	𝑑	VERB
asir-4876	63	11	𝜋𝑏	𝜋𝑏	ADP
asir-4876	63	12	[	[	X
asir-4876	63	13	1	1	NUM
asir-4876	63	14	+	+	NUM
asir-4876	63	15	ln(2𝜋𝑏	ln(2𝜋𝑏	PROPN
asir-4876	63	16	𝑑⁄	𝑑⁄	NUM
asir-4876	63	17	)	)	PUNCT
asir-4876	64	1	]	]	PUNCT
asir-4876	64	2	}	}	PUNCT
asir-4876	64	3	.	.	PUNCT
asir-4876	65	1	if	if	SCONJ
asir-4876	65	2	,	,	PUNCT
asir-4876	65	3	for	for	ADP
asir-4876	65	4	example	example	NOUN
asir-4876	65	5	,	,	PUNCT
asir-4876	65	6	𝑑=h=0.7874	𝑑=h=0.7874	NOUN
asir-4876	65	7	mm	mm	PROPN
asir-4876	65	8	,	,	PUNCT
asir-4876	65	9	b=33.15	b=33.15	PROPN
asir-4876	65	10	mm	mm	PROPN
asir-4876	65	11	,	,	PUNCT
asir-4876	65	12	then	then	ADV
asir-4876	65	13	for	for	ADP
asir-4876	65	14	the	the	DET
asir-4876	65	15	capacitance	capacitance	NOUN
asir-4876	65	16	between	between	ADP
asir-4876	65	17	the	the	DET
asir-4876	65	18	metal	metal	NOUN
asir-4876	65	19	plates	plate	NOUN
asir-4876	65	20	(	(	PUNCT
asir-4876	65	21	according	accord	VERB
asir-4876	65	22	to	to	ADP
asir-4876	65	23	the	the	DET
asir-4876	65	24	approximate	approximate	ADJ
asir-4876	65	25	first	first	ADJ
asir-4876	65	26	formula	formula	NOUN
asir-4876	65	27	and	and	CCONJ
asir-4876	65	28	the	the	DET
asir-4876	65	29	more	more	ADV
asir-4876	65	30	accurate	accurate	ADJ
asir-4876	65	31	second	second	ADJ
asir-4876	65	32	one	one	NUM
asir-4876	65	33	)	)	PUNCT
asir-4876	65	34	we	we	PRON
asir-4876	65	35	obtain	obtain	VERB
asir-4876	65	36	𝐶𝑙1	𝐶𝑙1	NOUN
asir-4876	65	37	=	=	SYM
asir-4876	65	38	42.1𝜀	42.1𝜀	NUM
asir-4876	65	39	,	,	PUNCT
asir-4876	65	40	𝐶𝑙2	𝐶𝑙2	NOUN
asir-4876	65	41	=	=	NOUN
asir-4876	66	1	44.2𝜀.	44.2𝜀.	NUM
asir-4876	66	2	the	the	DET
asir-4876	66	3	wave	wave	NOUN
asir-4876	66	4	impedance	impedance	NOUN
asir-4876	66	5	of	of	ADP
asir-4876	66	6	a	a	DET
asir-4876	66	7	long	long	ADJ
asir-4876	66	8	line	line	NOUN
asir-4876	66	9	formed	form	VERB
asir-4876	66	10	by	by	ADP
asir-4876	66	11	two	two	NUM
asir-4876	66	12	metal	metal	NOUN
asir-4876	66	13	strips	strip	NOUN
asir-4876	66	14	of	of	ADP
asir-4876	66	15	width	width	ADJ
asir-4876	66	16	b	b	NOUN
asir-4876	66	17	,	,	PUNCT
asir-4876	66	18	located	locate	VERB
asir-4876	66	19	in	in	ADP
asir-4876	66	20	a	a	DET
asir-4876	66	21	free	free	ADJ
asir-4876	66	22	space	space	NOUN
asir-4876	66	23	at	at	ADP
asir-4876	66	24	a	a	DET
asir-4876	66	25	distance	distance	NOUN
asir-4876	66	26	d	d	NOUN
asir-4876	66	27	from	from	ADP
asir-4876	66	28	each	each	DET
asir-4876	66	29	other	other	ADJ
asir-4876	66	30	,	,	PUNCT
asir-4876	66	31	is	be	AUX
asir-4876	66	32	𝑊	𝑊	PROPN
asir-4876	66	33	=	=	SYM
asir-4876	66	34	𝑘	𝑘	PROPN
asir-4876	66	35	(	(	PUNCT
asir-4876	66	36	𝜔𝐶)⁄	𝜔𝐶)⁄	PROPN
asir-4876	66	37	,	,	PUNCT
asir-4876	66	38	where	where	SCONJ
asir-4876	66	39	𝑘	𝑘	PRON
asir-4876	66	40	=	=	SYM
asir-4876	66	41	2𝜋	2𝜋	NOUN
asir-4876	66	42	𝜆⁄	𝜆⁄	PUNCT
asir-4876	66	43	is	be	AUX
asir-4876	66	44	propagation	propagation	NOUN
asir-4876	66	45	constant	constant	ADJ
asir-4876	66	46	of	of	ADP
asir-4876	66	47	the	the	DET
asir-4876	66	48	wave	wave	NOUN
asir-4876	66	49	in	in	ADP
asir-4876	66	50	air	air	NOUN
asir-4876	66	51	,	,	PUNCT
asir-4876	66	52	𝜔	𝜔	SCONJ
asir-4876	66	53	=	=	ADJ
asir-4876	66	54	2𝜋𝑓	2𝜋𝑓	NOUN
asir-4876	66	55	is	be	AUX
asir-4876	66	56	circular	circular	ADJ
asir-4876	66	57	frequency	frequency	NOUN
asir-4876	66	58	,	,	PUNCT
asir-4876	66	59	𝜆	𝜆	PRON
asir-4876	66	60	is	be	AUX
asir-4876	66	61	wave	wave	NOUN
asir-4876	66	62	length	length	NOUN
asir-4876	66	63	,	,	PUNCT
asir-4876	66	64	𝑓	𝑓	PRON
asir-4876	66	65	is	be	AUX
asir-4876	66	66	frequency	frequency	NOUN
asir-4876	66	67	,	,	PUNCT
asir-4876	66	68	𝜆𝑓	𝜆𝑓	ADP
asir-4876	66	69	=	=	NOUN
asir-4876	66	70	𝑐	𝑐	NOUN
asir-4876	66	71	=	=	SYM
asir-4876	66	72	3	3	NUM
asir-4876	66	73	∙	∙	PROPN
asir-4876	66	74	108	108	NUM
asir-4876	66	75	is	be	AUX
asir-4876	66	76	speed	speed	NOUN
asir-4876	66	77	of	of	ADP
asir-4876	66	78	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-4876	66	79	applied	apply	VERB
asir-4876	66	80	science	science	NOUN
asir-4876	66	81	and	and	CCONJ
asir-4876	66	82	innovative	innovative	ADJ
asir-4876	66	83	research	research	NOUN
asir-4876	66	84	vol	vol	NOUN
asir-4876	66	85	.	.	PROPN
asir-4876	67	1	6	6	NUM
asir-4876	67	2	,	,	PUNCT
asir-4876	67	3	no	no	INTJ
asir-4876	67	4	.	.	NOUN
asir-4876	67	5	3	3	NUM
asir-4876	67	6	,	,	PUNCT
asir-4876	67	7	2022	2022	NUM
asir-4876	67	8	5	5	NUM
asir-4876	67	9	published	publish	VERB
asir-4876	67	10	by	by	ADP
asir-4876	67	11	scholink	scholink	PROPN
asir-4876	67	12	inc	inc	PROPN
asir-4876	67	13	.	.	PROPN
asir-4876	67	14	light	light	PROPN
asir-4876	67	15	.	.	PUNCT
asir-4876	68	1	since	since	SCONJ
asir-4876	68	2	1	1	NUM
asir-4876	68	3	𝑐	𝑐	NOUN
asir-4876	68	4	=	=	SYM
asir-4876	68	5	120𝜋⁄	120𝜋⁄	NUM
asir-4876	68	6	𝜀0	𝜀0	NOUN
asir-4876	68	7	,	,	PUNCT
asir-4876	68	8	where	where	SCONJ
asir-4876	68	9	𝜀0	𝜀0	NOUN
asir-4876	68	10	=	=	SYM
asir-4876	68	11	10−9	10−9	NUM
asir-4876	68	12	(	(	PUNCT
asir-4876	68	13	36𝜋)⁄	36𝜋)⁄	NUM
asir-4876	68	14	is	be	AUX
asir-4876	68	15	the	the	DET
asir-4876	68	16	absolute	absolute	ADJ
asir-4876	68	17	permittivity	permittivity	NOUN
asir-4876	68	18	of	of	ADP
asir-4876	68	19	the	the	DET
asir-4876	68	20	free	free	ADJ
asir-4876	68	21	space	space	NOUN
asir-4876	68	22	,	,	PUNCT
asir-4876	68	23	we	we	PRON
asir-4876	68	24	get	get	VERB
asir-4876	68	25	that	that	DET
asir-4876	68	26	𝑊	𝑊	PROPN
asir-4876	68	27	=	=	SYM
asir-4876	68	28	120𝜋𝜀0	120𝜋𝜀0	NUM
asir-4876	68	29	𝐶𝑙2⁄	𝐶𝑙2⁄	NOUN
asir-4876	68	30	≅	≅	PROPN
asir-4876	69	1	2.7𝜋.	2.7𝜋.	PROPN
asir-4876	69	2	this	this	DET
asir-4876	69	3	magnitude	magnitude	NOUN
asir-4876	69	4	is	be	AUX
asir-4876	69	5	equal	equal	ADJ
asir-4876	69	6	to	to	ADP
asir-4876	69	7	the	the	DET
asir-4876	69	8	wave	wave	NOUN
asir-4876	69	9	impedance	impedance	NOUN
asir-4876	69	10	𝑊𝑀	𝑊𝑀	PROPN
asir-4876	69	11	of	of	ADP
asir-4876	69	12	the	the	DET
asir-4876	69	13	metal	metal	NOUN
asir-4876	69	14	radiator	radiator	NOUN
asir-4876	69	15	included	include	VERB
asir-4876	69	16	in	in	ADP
asir-4876	69	17	the	the	DET
asir-4876	69	18	structure	structure	NOUN
asir-4876	69	19	of	of	ADP
asir-4876	69	20	the	the	DET
asir-4876	69	21	complementary	complementary	ADJ
asir-4876	69	22	antenna	antenna	NOUN
asir-4876	69	23	.	.	PUNCT
asir-4876	70	1	to	to	PART
asir-4876	70	2	calculate	calculate	VERB
asir-4876	70	3	the	the	DET
asir-4876	70	4	wave	wave	NOUN
asir-4876	70	5	impedance	impedance	NOUN
asir-4876	70	6	𝑊𝑆	𝑊𝑆	NOUN
asir-4876	70	7	of	of	ADP
asir-4876	70	8	a	a	DET
asir-4876	70	9	metal	metal	NOUN
asir-4876	70	10	radiator	radiator	NOUN
asir-4876	70	11	identical	identical	ADJ
asir-4876	70	12	to	to	ADP
asir-4876	70	13	a	a	DET
asir-4876	70	14	slot	slot	NOUN
asir-4876	70	15	in	in	ADP
asir-4876	70	16	shape	shape	NOUN
asir-4876	70	17	and	and	CCONJ
asir-4876	70	18	size	size	NOUN
asir-4876	70	19	,	,	PUNCT
asir-4876	70	20	it	it	PRON
asir-4876	70	21	is	be	AUX
asir-4876	70	22	need	need	ADJ
asir-4876	70	23	to	to	PART
asir-4876	70	24	determine	determine	VERB
asir-4876	70	25	the	the	DET
asir-4876	70	26	capacitance	capacitance	NOUN
asir-4876	70	27	between	between	ADP
asir-4876	70	28	the	the	DET
asir-4876	70	29	metal	metal	NOUN
asir-4876	70	30	strips	strip	NOUN
asir-4876	70	31	having	have	VERB
asir-4876	70	32	dimensions	dimension	NOUN
asir-4876	70	33	of	of	ADP
asir-4876	70	34	slots	slot	NOUN
asir-4876	70	35	and	and	CCONJ
asir-4876	70	36	located	locate	VERB
asir-4876	70	37	on	on	ADP
asir-4876	70	38	their	their	PRON
asir-4876	70	39	sites	site	NOUN
asir-4876	70	40	.	.	PUNCT
asir-4876	71	1	capacitance	capacitance	NOUN
asir-4876	71	2	between	between	ADP
asir-4876	71	3	plates	plate	NOUN
asir-4876	71	4	with	with	ADP
asir-4876	71	5	width	width	ADJ
asir-4876	71	6	d	d	PROPN
asir-4876	71	7	,	,	PUNCT
asir-4876	71	8	located	locate	VERB
asir-4876	71	9	at	at	ADP
asir-4876	71	10	a	a	DET
asir-4876	71	11	distance	distance	NOUN
asir-4876	71	12	b	b	NOUN
asir-4876	71	13	from	from	ADP
asir-4876	71	14	each	each	DET
asir-4876	71	15	other	other	ADJ
asir-4876	71	16	,	,	PUNCT
asir-4876	71	17	if	if	SCONJ
asir-4876	71	18	𝑑	𝑑	PROPN
asir-4876	71	19	𝑏	𝑏	NOUN
asir-4876	71	20	≤	≤	NUM
asir-4876	71	21	1,⁄	1,⁄	NOUN
asir-4876	71	22	is	be	AUX
asir-4876	71	23	equal	equal	ADJ
asir-4876	71	24	to	to	ADP
asir-4876	71	25	𝐶𝑙	𝐶𝑙	PROPN
asir-4876	71	26	≈	≈	PROPN
asir-4876	71	27	𝜋𝜀0	𝜋𝜀0	PROPN
asir-4876	71	28	ln(4	ln(4	PROPN
asir-4876	71	29	𝑏	𝑏	PROPN
asir-4876	71	30	𝑑⁄	𝑑⁄	PROPN
asir-4876	71	31	)	)	PUNCT
asir-4876	71	32	,	,	PUNCT
asir-4876	71	33	⁄	⁄	ADP
asir-4876	71	34	i.e.	i.e.	X
asir-4876	71	35	,	,	PUNCT
asir-4876	71	36	𝐶𝑙	𝐶𝑙	NOUN
asir-4876	71	37	=	=	PUNCT
asir-4876	71	38	0.613𝜀0	0.613𝜀0	NUM
asir-4876	71	39	,	,	PUNCT
asir-4876	71	40	and	and	CCONJ
asir-4876	71	41	𝑊𝑆	𝑊𝑆	PROPN
asir-4876	71	42	=	=	PUNCT
asir-4876	71	43	195.8𝜋.	195.8𝜋.	NUM
asir-4876	71	44	the	the	DET
asir-4876	71	45	product	product	NOUN
asir-4876	71	46	of	of	ADP
asir-4876	71	47	asymmetric	asymmetric	ADJ
asir-4876	71	48	wave	wave	NOUN
asir-4876	71	49	impedances	impedance	NOUN
asir-4876	71	50	is	be	AUX
asir-4876	71	51	𝑊𝐸𝑊𝑠	𝑊𝐸𝑊𝑠	NOUN
asir-4876	71	52	≅	≅	NOUN
asir-4876	71	53	(	(	PUNCT
asir-4876	71	54	23𝜋)2	23𝜋)2	NUM
asir-4876	71	55	.	.	PUNCT
asir-4876	72	1	for	for	ADP
asir-4876	72	2	a	a	DET
asir-4876	72	3	symmetrical	symmetrical	ADJ
asir-4876	72	4	antenna	antenna	NOUN
asir-4876	72	5	this	this	DET
asir-4876	72	6	product	product	NOUN
asir-4876	72	7	is	be	AUX
asir-4876	72	8	4	4	NUM
asir-4876	72	9	times	time	NOUN
asir-4876	72	10	larger	large	ADJ
asir-4876	72	11	,	,	PUNCT
asir-4876	72	12	i.e.	i.e.	X
asir-4876	72	13	,	,	PUNCT
asir-4876	72	14	it	it	PRON
asir-4876	72	15	is	be	AUX
asir-4876	72	16	equal	equal	ADJ
asir-4876	72	17	to	to	ADP
asir-4876	72	18	(	(	PUNCT
asir-4876	72	19	46𝜋)2	46𝜋)2	NUM
asir-4876	72	20	.	.	PUNCT
asir-4876	73	1	as	as	SCONJ
asir-4876	73	2	is	be	AUX
asir-4876	73	3	known	know	VERB
asir-4876	73	4	,	,	PUNCT
asir-4876	73	5	the	the	DET
asir-4876	73	6	product	product	NOUN
asir-4876	73	7	of	of	ADP
asir-4876	73	8	the	the	DET
asir-4876	73	9	wave	wave	NOUN
asir-4876	73	10	impedances	impedance	NOUN
asir-4876	73	11	of	of	ADP
asir-4876	73	12	self	self	NOUN
asir-4876	73	13	-	-	PUNCT
asir-4876	73	14	complementary	complementary	ADJ
asir-4876	73	15	antennas	antenna	NOUN
asir-4876	73	16	is	be	AUX
asir-4876	73	17	(	(	PUNCT
asir-4876	73	18	60𝜋)2	60𝜋)2	NUM
asir-4876	73	19	.	.	PUNCT
asir-4876	74	1	in	in	ADP
asir-4876	74	2	the	the	DET
asir-4876	74	3	given	give	VERB
asir-4876	74	4	case	case	NOUN
asir-4876	74	5	,	,	PUNCT
asir-4876	74	6	this	this	DET
asir-4876	74	7	magnitude	magnitude	NOUN
asir-4876	74	8	is	be	AUX
asir-4876	74	9	significantly	significantly	ADV
asir-4876	74	10	smaller	small	ADJ
asir-4876	74	11	,	,	PUNCT
asir-4876	74	12	since	since	SCONJ
asir-4876	74	13	the	the	DET
asir-4876	74	14	surface	surface	NOUN
asir-4876	74	15	on	on	ADP
asir-4876	74	16	which	which	PRON
asir-4876	74	17	they	they	PRON
asir-4876	74	18	are	be	AUX
asir-4876	74	19	located	locate	VERB
asir-4876	74	20	,	,	PUNCT
asir-4876	74	21	can	can	AUX
asir-4876	74	22	not	not	PART
asir-4876	74	23	be	be	AUX
asir-4876	74	24	called	call	VERB
asir-4876	74	25	smooth	smooth	ADJ
asir-4876	74	26	.	.	PUNCT
asir-4876	75	1	the	the	DET
asir-4876	75	2	symmetrical	symmetrical	ADJ
asir-4876	75	3	structure	structure	NOUN
asir-4876	75	4	consisting	consist	VERB
asir-4876	75	5	of	of	ADP
asir-4876	75	6	a	a	DET
asir-4876	75	7	microstrip	microstrip	NOUN
asir-4876	75	8	antenna	antenna	NOUN
asir-4876	75	9	and	and	CCONJ
asir-4876	75	10	its	its	PRON
asir-4876	75	11	mirror	mirror	NOUN
asir-4876	75	12	image	image	NOUN
asir-4876	75	13	is	be	AUX
asir-4876	75	14	similar	similar	ADJ
asir-4876	75	15	to	to	ADP
asir-4876	75	16	the	the	DET
asir-4876	75	17	structure	structure	NOUN
asir-4876	75	18	of	of	ADP
asir-4876	75	19	a	a	DET
asir-4876	75	20	complementary	complementary	ADJ
asir-4876	75	21	antenna	antenna	NOUN
asir-4876	75	22	consisting	consist	VERB
asir-4876	75	23	of	of	ADP
asir-4876	75	24	two	two	NUM
asir-4876	75	25	coaxial	coaxial	ADJ
asir-4876	75	26	unclosed	unclosed	ADJ
asir-4876	75	27	shells	shell	NOUN
asir-4876	75	28	(	(	PUNCT
asir-4876	75	29	figure	figure	NOUN
asir-4876	75	30	3b	3b	NUM
asir-4876	75	31	)	)	PUNCT
asir-4876	75	32	separated	separate	VERB
asir-4876	75	33	by	by	ADP
asir-4876	75	34	angles	angle	NOUN
asir-4876	75	35	2𝜑.	2𝜑.	NUM
asir-4876	75	36	the	the	DET
asir-4876	75	37	capacitance	capacitance	NOUN
asir-4876	75	38	between	between	ADP
asir-4876	75	39	them	they	PRON
asir-4876	75	40	per	per	ADP
asir-4876	75	41	unit	unit	NOUN
asir-4876	75	42	length	length	NOUN
asir-4876	75	43	of	of	ADP
asir-4876	75	44	shells	shell	NOUN
asir-4876	75	45	is	be	AUX
asir-4876	75	46	equal	equal	ADJ
asir-4876	75	47	to	to	PART
asir-4876	75	48	(	(	PUNCT
asir-4876	75	49	see	see	VERB
asir-4876	75	50	iossel	iossel	ADJ
asir-4876	75	51	,	,	PUNCT
asir-4876	75	52	kochanov	kochanov	NOUN
asir-4876	75	53	,	,	PUNCT
asir-4876	75	54	&	&	CCONJ
asir-4876	75	55	strunsky	strunsky	PROPN
asir-4876	75	56	,	,	PUNCT
asir-4876	75	57	1981	1981	NUM
asir-4876	75	58	)	)	PUNCT
asir-4876	75	59	𝐶𝑙	𝐶𝑙	NOUN
asir-4876	75	60	=	=	SYM
asir-4876	75	61	𝜀	𝜀	X
asir-4876	75	62	𝐾(√1	𝐾(√1	PROPN
asir-4876	75	63	−	−	PROPN
asir-4876	75	64	𝑘2	𝑘2	PROPN
asir-4876	75	65	)	)	PUNCT
asir-4876	75	66	𝐾(𝑘),⁄	𝐾(𝑘),⁄	NOUN
asir-4876	75	67	where	where	SCONJ
asir-4876	75	68	𝐾(𝑘	𝐾(𝑘	X
asir-4876	75	69	)	)	PUNCT
asir-4876	75	70	is	be	AUX
asir-4876	75	71	the	the	DET
asir-4876	75	72	complete	complete	ADJ
asir-4876	75	73	elliptic	elliptic	ADJ
asir-4876	75	74	integral	integral	NOUN
asir-4876	75	75	of	of	ADP
asir-4876	75	76	the	the	DET
asir-4876	75	77	first	first	ADJ
asir-4876	75	78	kind	kind	NOUN
asir-4876	75	79	from	from	ADP
asir-4876	75	80	the	the	DET
asir-4876	75	81	argument	argument	NOUN
asir-4876	75	82	𝑘	𝑘	X
asir-4876	75	83	=	=	PUNCT
asir-4876	75	84	𝑡𝑎𝑛2	𝑡𝑎𝑛2	PROPN
asir-4876	75	85	𝜑	𝜑	PROPN
asir-4876	75	86	2⁄	2⁄	NUM
asir-4876	75	87	.	.	PUNCT
asir-4876	76	1	let	let	VERB
asir-4876	76	2	’s	’s	NOUN
asir-4876	76	3	compare	compare	VERB
asir-4876	76	4	this	this	DET
asir-4876	76	5	structure	structure	NOUN
asir-4876	76	6	with	with	ADP
asir-4876	76	7	the	the	DET
asir-4876	76	8	structure	structure	NOUN
asir-4876	76	9	of	of	ADP
asir-4876	76	10	the	the	DET
asir-4876	76	11	microstrip	microstrip	NOUN
asir-4876	76	12	antenna	antenna	NOUN
asir-4876	76	13	.	.	PUNCT
asir-4876	77	1	for	for	ADP
asir-4876	77	2	the	the	DET
asir-4876	77	3	given	give	VERB
asir-4876	77	4	dimensions	dimension	NOUN
asir-4876	77	5	of	of	ADP
asir-4876	77	6	this	this	DET
asir-4876	77	7	antenna	antenna	NOUN
asir-4876	77	8	,	,	PUNCT
asir-4876	77	9	assuming	assume	VERB
asir-4876	77	10	that	that	SCONJ
asir-4876	77	11	the	the	DET
asir-4876	77	12	structure	structure	NOUN
asir-4876	77	13	radius	radius	NOUN
asir-4876	77	14	is	be	AUX
asir-4876	77	15	equal	equal	ADJ
asir-4876	77	16	to	to	ADP
asir-4876	77	17	𝑅	𝑅	PROPN
asir-4876	77	18	=	=	PROPN
asir-4876	77	19	𝑏	𝑏	PROPN
asir-4876	77	20	2⁄	2⁄	NUM
asir-4876	77	21	,	,	PUNCT
asir-4876	77	22	and	and	CCONJ
asir-4876	77	23	the	the	DET
asir-4876	77	24	angle	angle	NOUN
asir-4876	77	25	𝜑	𝜑	NOUN
asir-4876	77	26	is	be	AUX
asir-4876	77	27	equal	equal	ADJ
asir-4876	77	28	to	to	ADP
asir-4876	77	29	𝜑	𝜑	NOUN
asir-4876	77	30	=	=	PUNCT
asir-4876	77	31	ℎ	ℎ	PART
asir-4876	77	32	𝑅⁄	𝑅⁄	PROPN
asir-4876	77	33	,	,	PUNCT
asir-4876	77	34	we	we	PRON
asir-4876	77	35	find	find	VERB
asir-4876	77	36	:	:	PUNCT
asir-4876	77	37	𝜑	𝜑	PROPN
asir-4876	77	38	2⁄	2⁄	NUM
asir-4876	77	39	=	=	SYM
asir-4876	77	40	ℎ	ℎ	PART
asir-4876	77	41	𝑏⁄	𝑏⁄	X
asir-4876	77	42	=	=	PROPN
asir-4876	77	43	0.024	0.024	NUM
asir-4876	77	44	.	.	PUNCT
asir-4876	78	1	in	in	ADP
asir-4876	78	2	accordance	accordance	NOUN
asir-4876	78	3	with	with	ADP
asir-4876	78	4	expression	expression	NOUN
asir-4876	78	5	for	for	ADP
asir-4876	78	6	𝐶𝑙	𝐶𝑙	NOUN
asir-4876	78	7	we	we	PRON
asir-4876	78	8	get	get	VERB
asir-4876	78	9	:	:	PUNCT
asir-4876	78	10	𝑘	𝑘	X
asir-4876	78	11	=	=	PUNCT
asir-4876	78	12	0.00056	0.00056	NUM
asir-4876	78	13	,	,	PUNCT
asir-4876	78	14	√1	√1	PROPN
asir-4876	78	15	−	−	PROPN
asir-4876	78	16	𝑘2=0.9999998	𝑘2=0.9999998	PROPN
asir-4876	78	17	,	,	PUNCT
asir-4876	78	18	𝐾(𝑘	𝐾(𝑘	X
asir-4876	78	19	)	)	PUNCT
asir-4876	78	20	=	=	SYM
asir-4876	78	21	1.5708	1.5708	NUM
asir-4876	78	22	,	,	PUNCT
asir-4876	78	23	𝐾(√1	𝐾(√1	PROPN
asir-4876	78	24	−	−	PROPN
asir-4876	78	25	𝑘2	𝑘2	PROPN
asir-4876	78	26	)	)	PUNCT
asir-4876	78	27	=	=	NOUN
asir-4876	79	1	8.87	8.87	NUM
asir-4876	79	2	,	,	PUNCT
asir-4876	79	3	that	that	PRON
asir-4876	79	4	is	be	AUX
asir-4876	79	5	𝐶𝑙1	𝐶𝑙1	ADJ
asir-4876	79	6	=	=	NOUN
asir-4876	79	7	5.7𝜀.	5.7𝜀.	NUM
asir-4876	79	8	if	if	SCONJ
asir-4876	79	9	replace	replace	VERB
asir-4876	79	10	the	the	DET
asir-4876	79	11	angle	angle	NOUN
asir-4876	79	12	width	width	VERB
asir-4876	79	13	2𝜑	2𝜑	NUM
asir-4876	79	14	of	of	ADP
asir-4876	79	15	the	the	DET
asir-4876	79	16	slot	slot	NOUN
asir-4876	79	17	with	with	ADP
asir-4876	79	18	the	the	DET
asir-4876	79	19	angular	angular	ADJ
asir-4876	79	20	width	width	NOUN
asir-4876	79	21	of	of	ADP
asir-4876	79	22	the	the	DET
asir-4876	79	23	shell	shell	NOUN
asir-4876	79	24	(	(	PUNCT
asir-4876	79	25	it	it	PRON
asir-4876	79	26	is	be	AUX
asir-4876	79	27	equal	equal	ADJ
asir-4876	79	28	to	to	ADP
asir-4876	79	29	2	2	NUM
asir-4876	79	30	∝=	∝=	NOUN
asir-4876	79	31	𝜋	𝜋	NOUN
asir-4876	79	32	−	−	NOUN
asir-4876	79	33	2𝜑	2𝜑	NUM
asir-4876	79	34	)	)	PUNCT
asir-4876	79	35	,	,	PUNCT
asir-4876	79	36	we	we	PRON
asir-4876	79	37	get	get	VERB
asir-4876	79	38	:	:	PUNCT
asir-4876	79	39	∝	∝	PROPN
asir-4876	79	40	2⁄	2⁄	NUM
asir-4876	79	41	=	=	NOUN
asir-4876	79	42	0.7616	0.7616	NUM
asir-4876	79	43	,	,	PUNCT
asir-4876	79	44	𝑘	𝑘	X
asir-4876	79	45	=	=	SYM
asir-4876	79	46	0.909	0.909	NUM
asir-4876	79	47	,	,	PUNCT
asir-4876	79	48	𝐾(𝑘	𝐾(𝑘	X
asir-4876	79	49	)	)	PUNCT
asir-4876	79	50	=	=	SYM
asir-4876	79	51	2.3217	2.3217	NUM
asir-4876	79	52	,	,	PUNCT
asir-4876	79	53	√1	√1	ADV
asir-4876	79	54	−	−	PROPN
asir-4876	79	55	𝑘2	𝑘2	PROPN
asir-4876	79	56	=	=	NOUN
asir-4876	79	57	0.416	0.416	NUM
asir-4876	79	58	,	,	PUNCT
asir-4876	79	59	𝐾(√1	𝐾(√1	PROPN
asir-4876	79	60	−	−	PROPN
asir-4876	79	61	𝑘2	𝑘2	PROPN
asir-4876	79	62	)	)	PUNCT
asir-4876	79	63	=	=	PUNCT
asir-4876	80	1	1.6464	1.6464	NUM
asir-4876	80	2	,	,	PUNCT
asir-4876	80	3	that	that	PRON
asir-4876	80	4	is	be	AUX
asir-4876	80	5	the	the	DET
asir-4876	80	6	capacitance	capacitance	NOUN
asir-4876	80	7	between	between	ADP
asir-4876	80	8	the	the	DET
asir-4876	80	9	slots	slot	NOUN
asir-4876	80	10	is	be	AUX
asir-4876	80	11	𝐶𝑙2	𝐶𝑙2	NOUN
asir-4876	80	12	=	=	SYM
asir-4876	80	13	0.71𝜀.	0.71𝜀.	NUM
asir-4876	80	14	wave	wave	NOUN
asir-4876	80	15	impedances	impedance	NOUN
asir-4876	80	16	are	be	AUX
asir-4876	80	17	respectively	respectively	ADV
asir-4876	80	18	𝑊𝐸	𝑊𝐸	PROPN
asir-4876	80	19	=	=	SYM
asir-4876	80	20	21.05𝜋	21.05𝜋	NUM
asir-4876	80	21	,	,	PUNCT
asir-4876	80	22	and	and	CCONJ
asir-4876	81	1	𝑊𝑠	𝑊𝑠	PROPN
asir-4876	81	2	=	=	PUNCT
asir-4876	81	3	169𝜋.	169𝜋.	NUM
asir-4876	81	4	the	the	DET
asir-4876	81	5	product	product	NOUN
asir-4876	81	6	of	of	ADP
asir-4876	81	7	the	the	DET
asir-4876	81	8	wave	wave	NOUN
asir-4876	81	9	impedances	impedance	NOUN
asir-4876	81	10	is	be	AUX
asir-4876	81	11	𝑊𝐸𝑊𝑠	𝑊𝐸𝑊𝑠	NOUN
asir-4876	81	12	=	=	SYM
asir-4876	81	13	(	(	PUNCT
asir-4876	81	14	60𝜋)2	60𝜋)2	NUM
asir-4876	81	15	in	in	ADP
asir-4876	81	16	full	full	ADJ
asir-4876	81	17	agreement	agreement	NOUN
asir-4876	81	18	with	with	ADP
asir-4876	81	19	the	the	DET
asir-4876	81	20	properties	property	NOUN
asir-4876	81	21	of	of	ADP
asir-4876	81	22	the	the	DET
asir-4876	81	23	self	self	NOUN
asir-4876	81	24	-	-	PUNCT
asir-4876	81	25	complementary	complementary	ADJ
asir-4876	81	26	structures	structure	NOUN
asir-4876	81	27	.	.	PUNCT
asir-4876	82	1	the	the	DET
asir-4876	82	2	difference	difference	NOUN
asir-4876	82	3	between	between	ADP
asir-4876	82	4	the	the	DET
asir-4876	82	5	results	result	NOUN
asir-4876	82	6	for	for	ADP
asir-4876	82	7	the	the	DET
asir-4876	82	8	structures	structure	NOUN
asir-4876	82	9	shown	show	VERB
asir-4876	82	10	in	in	ADP
asir-4876	82	11	figure	figure	NOUN
asir-4876	82	12	3a	3a	NUM
asir-4876	82	13	and	and	CCONJ
asir-4876	82	14	figure	figure	VERB
asir-4876	82	15	3b	3b	NOUN
asir-4876	82	16	is	be	AUX
asir-4876	82	17	,	,	PUNCT
asir-4876	82	18	of	of	ADP
asir-4876	82	19	course	course	NOUN
asir-4876	82	20	,	,	PUNCT
asir-4876	82	21	caused	cause	VERB
asir-4876	82	22	with	with	ADP
asir-4876	82	23	the	the	DET
asir-4876	82	24	difference	difference	NOUN
asir-4876	82	25	in	in	ADP
asir-4876	82	26	the	the	DET
asir-4876	82	27	distances	distance	NOUN
asir-4876	82	28	between	between	ADP
asir-4876	82	29	the	the	DET
asir-4876	82	30	arms	arm	NOUN
asir-4876	82	31	of	of	ADP
asir-4876	82	32	the	the	DET
asir-4876	82	33	metal	metal	NOUN
asir-4876	82	34	radiators	radiator	NOUN
asir-4876	82	35	.	.	PUNCT
asir-4876	83	1	as	as	SCONJ
asir-4876	83	2	mentioned	mention	VERB
asir-4876	83	3	above	above	ADV
asir-4876	83	4	,	,	PUNCT
asir-4876	83	5	each	each	PRON
asir-4876	83	6	of	of	ADP
asir-4876	83	7	the	the	DET
asir-4876	83	8	radiators	radiator	NOUN
asir-4876	83	9	presented	present	VERB
asir-4876	83	10	in	in	ADP
asir-4876	83	11	figure	figure	NOUN
asir-4876	83	12	1	1	NUM
asir-4876	83	13	can	can	AUX
asir-4876	83	14	be	be	AUX
asir-4876	83	15	simultaneously	simultaneously	ADV
asir-4876	83	16	viewed	view	VERB
asir-4876	83	17	as	as	ADP
asir-4876	83	18	a	a	DET
asir-4876	83	19	long	long	ADJ
asir-4876	83	20	line	line	NOUN
asir-4876	83	21	and	and	CCONJ
asir-4876	83	22	as	as	ADP
asir-4876	83	23	an	an	DET
asir-4876	83	24	antenna	antenna	NOUN
asir-4876	83	25	.	.	PUNCT
asir-4876	84	1	this	this	DET
asir-4876	84	2	approach	approach	NOUN
asir-4876	84	3	is	be	AUX
asir-4876	84	4	no	no	ADV
asir-4876	84	5	different	different	ADJ
asir-4876	84	6	from	from	ADP
asir-4876	84	7	the	the	DET
asir-4876	84	8	usual	usual	ADJ
asir-4876	84	9	comparison	comparison	NOUN
asir-4876	84	10	of	of	ADP
asir-4876	84	11	a	a	DET
asir-4876	84	12	linear	linear	ADJ
asir-4876	84	13	antenna	antenna	NOUN
asir-4876	84	14	with	with	ADP
asir-4876	84	15	an	an	DET
asir-4876	84	16	equivalent	equivalent	ADJ
asir-4876	84	17	long	long	ADJ
asir-4876	84	18	line	line	NOUN
asir-4876	84	19	.	.	PUNCT
asir-4876	85	1	that	that	PRON
asir-4876	85	2	greatly	greatly	ADV
asir-4876	85	3	simplifies	simplify	VERB
asir-4876	85	4	calculating	calculate	VERB
asir-4876	85	5	the	the	DET
asir-4876	85	6	wave	wave	NOUN
asir-4876	85	7	impedance	impedance	NOUN
asir-4876	85	8	and	and	CCONJ
asir-4876	85	9	other	other	ADJ
asir-4876	85	10	characteristics	characteristic	NOUN
asir-4876	85	11	of	of	ADP
asir-4876	85	12	an	an	DET
asir-4876	85	13	antenna	antenna	NOUN
asir-4876	85	14	.	.	PUNCT
asir-4876	86	1	the	the	DET
asir-4876	86	2	structure	structure	NOUN
asir-4876	86	3	of	of	ADP
asir-4876	86	4	the	the	DET
asir-4876	86	5	microstrip	microstrip	NOUN
asir-4876	86	6	antenna	antenna	NOUN
asir-4876	86	7	and	and	CCONJ
asir-4876	86	8	the	the	DET
asir-4876	86	9	dimensions	dimension	NOUN
asir-4876	86	10	of	of	ADP
asir-4876	86	11	its	its	PRON
asir-4876	86	12	cross	cross	NOUN
asir-4876	86	13	-	-	NOUN
asir-4876	86	14	section	section	NOUN
asir-4876	86	15	are	be	AUX
asir-4876	86	16	constant	constant	ADJ
asir-4876	86	17	along	along	ADP
asir-4876	86	18	its	its	PRON
asir-4876	86	19	length	length	NOUN
asir-4876	86	20	l	l	NOUN
asir-4876	86	21	,	,	PUNCT
asir-4876	86	22	i.e.	i.e.	X
asir-4876	86	23	,	,	PUNCT
asir-4876	86	24	the	the	DET
asir-4876	86	25	equivalent	equivalent	ADJ
asir-4876	86	26	long	long	ADJ
asir-4876	86	27	line	line	NOUN
asir-4876	86	28	is	be	AUX
asir-4876	86	29	uniform	uniform	ADJ
asir-4876	86	30	,	,	PUNCT
asir-4876	86	31	and	and	CCONJ
asir-4876	86	32	its	its	PRON
asir-4876	86	33	wave	wave	NOUN
asir-4876	86	34	impedance	impedance	NOUN
asir-4876	86	35	is	be	AUX
asir-4876	86	36	constant	constant	ADJ
asir-4876	86	37	.	.	PUNCT
asir-4876	87	1	however	however	ADV
asir-4876	87	2	,	,	PUNCT
asir-4876	87	3	it	it	PRON
asir-4876	87	4	is	be	AUX
asir-4876	87	5	necessary	necessary	ADJ
asir-4876	87	6	to	to	PART
asir-4876	87	7	note	note	VERB
asir-4876	87	8	a	a	DET
asir-4876	87	9	significant	significant	ADJ
asir-4876	87	10	difference	difference	NOUN
asir-4876	87	11	between	between	ADP
asir-4876	87	12	a	a	DET
asir-4876	87	13	microstrip	microstrip	NOUN
asir-4876	87	14	antenna	antenna	NOUN
asir-4876	87	15	and	and	CCONJ
asir-4876	87	16	a	a	DET
asir-4876	87	17	long	long	ADJ
asir-4876	87	18	line	line	NOUN
asir-4876	87	19	(	(	PUNCT
asir-4876	87	20	and	and	CCONJ
asir-4876	87	21	antennas	antenna	NOUN
asir-4876	87	22	associated	associate	VERB
asir-4876	87	23	with	with	ADP
asir-4876	87	24	it	it	PRON
asir-4876	87	25	)	)	PUNCT
asir-4876	87	26	.	.	PUNCT
asir-4876	88	1	known	know	VERB
asir-4876	88	2	antennas	antenna	NOUN
asir-4876	88	3	are	be	AUX
asir-4876	88	4	often	often	ADV
asir-4876	88	5	divided	divide	VERB
asir-4876	88	6	into	into	ADP
asir-4876	88	7	symmetrical	symmetrical	ADJ
asir-4876	88	8	(	(	PUNCT
asir-4876	88	9	e.g.	e.g.	ADV
asir-4876	88	10	,	,	PUNCT
asir-4876	88	11	the	the	DET
asir-4876	88	12	dipole	dipole	NOUN
asir-4876	88	13	)	)	PUNCT
asir-4876	88	14	and	and	CCONJ
asir-4876	88	15	asymmetric	asymmetric	ADJ
asir-4876	88	16	(	(	PUNCT
asir-4876	88	17	e.g.	e.g.	ADV
asir-4876	88	18	,	,	PUNCT
asir-4876	88	19	the	the	DET
asir-4876	88	20	monopole	monopole	NOUN
asir-4876	88	21	)	)	PUNCT
asir-4876	88	22	.	.	PUNCT
asir-4876	89	1	in	in	ADP
asir-4876	89	2	this	this	DET
asir-4876	89	3	case	case	NOUN
asir-4876	89	4	,	,	PUNCT
asir-4876	89	5	a	a	DET
asir-4876	89	6	structure	structure	NOUN
asir-4876	89	7	is	be	AUX
asir-4876	89	8	called	call	VERB
asir-4876	89	9	asymmetric	asymmetric	ADJ
asir-4876	89	10	,	,	PUNCT
asir-4876	89	11	if	if	SCONJ
asir-4876	89	12	it	it	PRON
asir-4876	89	13	consists	consist	VERB
asir-4876	89	14	of	of	ADP
asir-4876	89	15	a	a	DET
asir-4876	89	16	real	real	ADJ
asir-4876	89	17	antenna	antenna	NOUN
asir-4876	89	18	and	and	CCONJ
asir-4876	89	19	its	its	PRON
asir-4876	89	20	mirror	mirror	NOUN
asir-4876	89	21	image	image	NOUN
asir-4876	89	22	in	in	ADP
asir-4876	89	23	the	the	DET
asir-4876	89	24	ground	ground	NOUN
asir-4876	89	25	or	or	CCONJ
asir-4876	89	26	grounding	grounding	NOUN
asir-4876	89	27	.	.	PUNCT
asir-4876	90	1	asymmetry	asymmetry	NOUN
asir-4876	90	2	essentially	essentially	ADV
asir-4876	90	3	means	mean	VERB
asir-4876	90	4	a	a	DET
asir-4876	90	5	change	change	NOUN
asir-4876	90	6	in	in	ADP
asir-4876	90	7	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-4876	90	8	applied	apply	VERB
asir-4876	90	9	science	science	NOUN
asir-4876	90	10	and	and	CCONJ
asir-4876	90	11	innovative	innovative	ADJ
asir-4876	90	12	research	research	NOUN
asir-4876	90	13	vol	vol	NOUN
asir-4876	90	14	.	.	PROPN
asir-4876	91	1	6	6	NUM
asir-4876	91	2	,	,	PUNCT
asir-4876	91	3	no	no	INTJ
asir-4876	91	4	.	.	NOUN
asir-4876	91	5	3	3	NUM
asir-4876	91	6	,	,	PUNCT
asir-4876	91	7	2022	2022	NUM
asir-4876	91	8	6	6	NUM
asir-4876	91	9	published	publish	VERB
asir-4876	91	10	by	by	ADP
asir-4876	91	11	scholink	scholink	PROPN
asir-4876	91	12	inc	inc	PROPN
asir-4876	91	13	.	.	PUNCT
asir-4876	92	1	the	the	DET
asir-4876	92	2	sign	sign	NOUN
asir-4876	92	3	or	or	CCONJ
asir-4876	92	4	direction	direction	NOUN
asir-4876	92	5	of	of	ADP
asir-4876	92	6	the	the	DET
asir-4876	92	7	current	current	NOUN
asir-4876	92	8	.	.	PUNCT
asir-4876	93	1	the	the	DET
asir-4876	93	2	asymmetry	asymmetry	NOUN
asir-4876	93	3	of	of	ADP
asir-4876	93	4	the	the	DET
asir-4876	93	5	metal	metal	NOUN
asir-4876	93	6	plate	plate	NOUN
asir-4876	93	7	of	of	ADP
asir-4876	93	8	a	a	DET
asir-4876	93	9	microstrip	microstrip	NOUN
asir-4876	93	10	antenna	antenna	NOUN
asir-4876	93	11	is	be	AUX
asir-4876	93	12	caused	cause	VERB
asir-4876	93	13	by	by	ADP
asir-4876	93	14	the	the	DET
asir-4876	93	15	difference	difference	NOUN
asir-4876	93	16	in	in	ADP
asir-4876	93	17	the	the	DET
asir-4876	93	18	media	medium	NOUN
asir-4876	93	19	adjacent	adjacent	ADJ
asir-4876	93	20	to	to	ADP
asir-4876	93	21	it	it	PRON
asir-4876	93	22	from	from	ADP
asir-4876	93	23	above	above	ADP
asir-4876	93	24	and	and	CCONJ
asir-4876	93	25	below	below	ADV
asir-4876	93	26	and	and	CCONJ
asir-4876	93	27	the	the	DET
asir-4876	93	28	large	large	ADJ
asir-4876	93	29	width	width	NOUN
asir-4876	93	30	of	of	ADP
asir-4876	93	31	the	the	DET
asir-4876	93	32	plate	plate	NOUN
asir-4876	93	33	compared	compare	VERB
asir-4876	93	34	to	to	ADP
asir-4876	93	35	the	the	DET
asir-4876	93	36	thickness	thickness	NOUN
asir-4876	93	37	of	of	ADP
asir-4876	93	38	the	the	DET
asir-4876	93	39	substrate	substrate	NOUN
asir-4876	93	40	.	.	PUNCT
asir-4876	94	1	this	this	PRON
asir-4876	94	2	results	result	VERB
asir-4876	94	3	in	in	ADP
asir-4876	94	4	a	a	DET
asir-4876	94	5	different	different	ADJ
asir-4876	94	6	magnitude	magnitude	NOUN
asir-4876	94	7	of	of	ADP
asir-4876	94	8	currents	current	NOUN
asir-4876	94	9	along	along	ADP
asir-4876	94	10	the	the	DET
asir-4876	94	11	top	top	ADJ
asir-4876	94	12	and	and	CCONJ
asir-4876	94	13	bottom	bottom	ADJ
asir-4876	94	14	surfaces	surface	NOUN
asir-4876	94	15	of	of	ADP
asir-4876	94	16	the	the	DET
asir-4876	94	17	plate	plate	NOUN
asir-4876	94	18	.	.	PUNCT
asir-4876	95	1	in	in	ADP
asir-4876	95	2	this	this	DET
asir-4876	95	3	case	case	NOUN
asir-4876	95	4	,	,	PUNCT
asir-4876	95	5	the	the	DET
asir-4876	95	6	emf	emf	NOUN
asir-4876	95	7	on	on	ADP
asir-4876	95	8	both	both	DET
asir-4876	95	9	surfaces	surface	NOUN
asir-4876	95	10	at	at	ADP
asir-4876	95	11	the	the	DET
asir-4876	95	12	point	point	NOUN
asir-4876	95	13	of	of	ADP
asir-4876	95	14	connection	connection	NOUN
asir-4876	95	15	of	of	ADP
asir-4876	95	16	the	the	DET
asir-4876	95	17	generator	generator	NOUN
asir-4876	95	18	is	be	AUX
asir-4876	95	19	the	the	DET
asir-4876	95	20	same	same	ADJ
asir-4876	95	21	.	.	PUNCT
asir-4876	96	1	the	the	DET
asir-4876	96	2	voltages	voltage	NOUN
asir-4876	96	3	are	be	AUX
asir-4876	96	4	also	also	ADV
asir-4876	96	5	the	the	DET
asir-4876	96	6	same	same	ADJ
asir-4876	96	7	on	on	ADP
asir-4876	96	8	both	both	DET
asir-4876	96	9	sides	side	NOUN
asir-4876	96	10	of	of	ADP
asir-4876	96	11	the	the	DET
asir-4876	96	12	plate	plate	NOUN
asir-4876	96	13	along	along	ADP
asir-4876	96	14	all	all	DET
asir-4876	96	15	its	its	PRON
asir-4876	96	16	length	length	NOUN
asir-4876	96	17	.	.	PUNCT
asir-4876	97	1	thus	thus	ADV
asir-4876	97	2	,	,	PUNCT
asir-4876	97	3	the	the	DET
asir-4876	97	4	structure	structure	NOUN
asir-4876	97	5	of	of	ADP
asir-4876	97	6	a	a	DET
asir-4876	97	7	microstrip	microstrip	NOUN
asir-4876	97	8	antenna	antenna	NOUN
asir-4876	97	9	is	be	AUX
asir-4876	97	10	more	more	ADV
asir-4876	97	11	complex	complex	ADJ
asir-4876	97	12	than	than	ADP
asir-4876	97	13	that	that	PRON
asir-4876	97	14	of	of	ADP
asir-4876	97	15	a	a	DET
asir-4876	97	16	common	common	ADJ
asir-4876	97	17	long	long	ADJ
asir-4876	97	18	line	line	NOUN
asir-4876	97	19	.	.	PUNCT
asir-4876	98	1	to	to	PART
asir-4876	98	2	simplify	simplify	VERB
asir-4876	98	3	this	this	DET
asir-4876	98	4	structure	structure	NOUN
asir-4876	98	5	,	,	PUNCT
asir-4876	98	6	let	let	VERB
asir-4876	98	7	’s	’s	PRON
asir-4876	98	8	replace	replace	VERB
asir-4876	98	9	the	the	DET
asir-4876	98	10	metal	metal	NOUN
asir-4876	98	11	plate	plate	NOUN
asir-4876	98	12	with	with	ADP
asir-4876	98	13	width	width	PROPN
asir-4876	98	14	b	b	NOUN
asir-4876	98	15	by	by	ADP
asir-4876	98	16	a	a	DET
asir-4876	98	17	metal	metal	NOUN
asir-4876	98	18	cylinder	cylinder	NOUN
asir-4876	98	19	1	1	NUM
asir-4876	98	20	with	with	ADP
asir-4876	98	21	a	a	DET
asir-4876	98	22	radius	radius	NOUN
asir-4876	98	23	𝑎	𝑎	NOUN
asir-4876	98	24	=	=	SYM
asir-4876	98	25	𝑏	𝑏	NOUN
asir-4876	98	26	𝜋⁄	𝜋⁄	PROPN
asir-4876	98	27	(	(	PUNCT
asir-4876	98	28	with	with	ADP
asir-4876	98	29	the	the	DET
asir-4876	98	30	same	same	ADJ
asir-4876	98	31	surface	surface	NOUN
asir-4876	98	32	area	area	NOUN
asir-4876	98	33	)	)	PUNCT
asir-4876	98	34	.	.	PUNCT
asir-4876	99	1	the	the	DET
asir-4876	99	2	cross	cross	NOUN
asir-4876	99	3	-	-	NOUN
asir-4876	99	4	section	section	NOUN
asir-4876	99	5	of	of	ADP
asir-4876	99	6	such	such	DET
asir-4876	99	7	a	a	DET
asir-4876	99	8	structure	structure	NOUN
asir-4876	99	9	is	be	AUX
asir-4876	99	10	shown	show	VERB
asir-4876	99	11	in	in	ADP
asir-4876	99	12	figure	figure	NOUN
asir-4876	99	13	4	4	NUM
asir-4876	99	14	.	.	PUNCT
asir-4876	99	15	figure	figure	VERB
asir-4876	99	16	4	4	NUM
asir-4876	99	17	.	.	NOUN
asir-4876	99	18	approximate	approximate	ADJ
asir-4876	99	19	equivalent	equivalent	ADJ
asir-4876	99	20	structure	structure	NOUN
asir-4876	99	21	of	of	ADP
asir-4876	99	22	the	the	DET
asir-4876	99	23	microstrip	microstrip	NOUN
asir-4876	99	24	antenna	antenna	NOUN
asir-4876	99	25	:	:	PUNCT
asir-4876	99	26	1	1	NUM
asir-4876	99	27	radiator	radiator	NOUN
asir-4876	99	28	,	,	PUNCT
asir-4876	99	29	2	2	NUM
asir-4876	99	30	substrate	substrate	NOUN
asir-4876	99	31	,	,	PUNCT
asir-4876	99	32	3	3	NUM
asir-4876	99	33	–	–	PUNCT
asir-4876	99	34	grounding	grounding	NOUN
asir-4876	99	35	,	,	PUNCT
asir-4876	99	36	4	4	NUM
asir-4876	99	37	–	–	PUNCT
asir-4876	99	38	surface	surface	NOUN
asir-4876	99	39	of	of	ADP
asir-4876	99	40	zero	zero	NUM
asir-4876	99	41	potential	potential	NOUN
asir-4876	99	42	as	as	SCONJ
asir-4876	99	43	it	it	PRON
asir-4876	99	44	can	can	AUX
asir-4876	99	45	be	be	AUX
asir-4876	99	46	seen	see	VERB
asir-4876	99	47	from	from	ADP
asir-4876	99	48	the	the	DET
asir-4876	99	49	figure	figure	NOUN
asir-4876	99	50	,	,	PUNCT
asir-4876	99	51	in	in	ADP
asir-4876	99	52	the	the	DET
asir-4876	99	53	vicinity	vicinity	NOUN
asir-4876	99	54	of	of	ADP
asir-4876	99	55	the	the	DET
asir-4876	99	56	radiator	radiator	NOUN
asir-4876	99	57	there	there	PRON
asir-4876	99	58	are	be	VERB
asir-4876	99	59	two	two	NUM
asir-4876	99	60	surfaces	surface	NOUN
asir-4876	99	61	with	with	ADP
asir-4876	99	62	the	the	DET
asir-4876	99	63	same	same	ADJ
asir-4876	99	64	(	(	PUNCT
asir-4876	99	65	zero	zero	NUM
asir-4876	99	66	)	)	PUNCT
asir-4876	99	67	potential	potential	NOUN
asir-4876	99	68	.	.	PUNCT
asir-4876	100	1	this	this	PRON
asir-4876	100	2	is	be	AUX
asir-4876	100	3	,	,	PUNCT
asir-4876	100	4	firstly	firstly	ADV
asir-4876	100	5	,	,	PUNCT
asir-4876	100	6	the	the	DET
asir-4876	100	7	metal	metal	NOUN
asir-4876	100	8	surface	surface	NOUN
asir-4876	100	9	3	3	NUM
asir-4876	100	10	,	,	PUNCT
asir-4876	100	11	on	on	ADP
asir-4876	100	12	which	which	PRON
asir-4876	100	13	the	the	DET
asir-4876	100	14	antenna	antenna	NOUN
asir-4876	100	15	is	be	AUX
asir-4876	100	16	located	locate	VERB
asir-4876	100	17	(	(	PUNCT
asir-4876	100	18	grounding	ground	VERB
asir-4876	100	19	)	)	PUNCT
asir-4876	100	20	.	.	PUNCT
asir-4876	101	1	this	this	PRON
asir-4876	101	2	is	be	AUX
asir-4876	101	3	,	,	PUNCT
asir-4876	101	4	secondly	secondly	ADV
asir-4876	101	5	,	,	PUNCT
asir-4876	101	6	the	the	DET
asir-4876	101	7	surface	surface	NOUN
asir-4876	101	8	of	of	ADP
asir-4876	101	9	zero	zero	NUM
asir-4876	101	10	potential	potential	ADJ
asir-4876	101	11	4	4	NUM
asir-4876	101	12	,	,	PUNCT
asir-4876	101	13	which	which	PRON
asir-4876	101	14	by	by	ADP
asir-4876	101	15	definition	definition	NOUN
asir-4876	101	16	is	be	AUX
asir-4876	101	17	located	locate	VERB
asir-4876	101	18	at	at	ADP
asir-4876	101	19	a	a	DET
asir-4876	101	20	distance	distance	NOUN
asir-4876	101	21	from	from	ADP
asir-4876	101	22	the	the	DET
asir-4876	101	23	radiator	radiator	NOUN
asir-4876	101	24	equal	equal	ADJ
asir-4876	101	25	to	to	ADP
asir-4876	101	26	the	the	DET
asir-4876	101	27	total	total	ADJ
asir-4876	101	28	length	length	NOUN
asir-4876	101	29	2l	2l	NUM
asir-4876	101	30	of	of	ADP
asir-4876	101	31	the	the	DET
asir-4876	101	32	antenna	antenna	NOUN
asir-4876	101	33	.	.	PUNCT
asir-4876	102	1	the	the	DET
asir-4876	102	2	substrate	substrate	NOUN
asir-4876	102	3	is	be	AUX
asir-4876	102	4	noted	note	VERB
asir-4876	102	5	by	by	ADP
asir-4876	102	6	the	the	DET
asir-4876	102	7	number	number	NOUN
asir-4876	102	8	2	2	NUM
asir-4876	102	9	.	.	PUNCT
asir-4876	103	1	the	the	DET
asir-4876	103	2	wave	wave	NOUN
asir-4876	103	3	impedance	impedance	NOUN
asir-4876	103	4	of	of	ADP
asir-4876	103	5	a	a	DET
asir-4876	103	6	long	long	ADJ
asir-4876	103	7	line	line	NOUN
asir-4876	103	8	located	locate	VERB
asir-4876	103	9	between	between	ADP
asir-4876	103	10	the	the	DET
asir-4876	103	11	lower	low	ADJ
asir-4876	103	12	surface	surface	NOUN
asir-4876	103	13	of	of	ADP
asir-4876	103	14	the	the	DET
asir-4876	103	15	plate	plate	NOUN
asir-4876	103	16	and	and	CCONJ
asir-4876	103	17	the	the	DET
asir-4876	103	18	surface	surface	NOUN
asir-4876	103	19	3	3	NUM
asir-4876	103	20	of	of	ADP
asir-4876	103	21	zero	zero	NUM
asir-4876	103	22	potential	potential	NOUN
asir-4876	103	23	is	be	AUX
asir-4876	103	24	equal	equal	ADJ
asir-4876	103	25	to	to	ADP
asir-4876	103	26	𝑊1	𝑊1	PROPN
asir-4876	103	27	=	=	SYM
asir-4876	103	28	𝑘1	𝑘1	PROPN
asir-4876	103	29	(	(	PUNCT
asir-4876	103	30	𝜔𝐶1),⁄	𝜔𝐶1),⁄	NOUN
asir-4876	103	31	where	where	SCONJ
asir-4876	103	32	𝑘1	𝑘1	NOUN
asir-4876	103	33	=	=	PUNCT
asir-4876	103	34	𝑘𝑛	𝑘𝑛	INTJ
asir-4876	103	35	is	be	AUX
asir-4876	103	36	a	a	DET
asir-4876	103	37	wave	wave	NOUN
asir-4876	103	38	propagation	propagation	NOUN
asir-4876	103	39	constant	constant	ADJ
asir-4876	103	40	along	along	ADP
asir-4876	103	41	the	the	DET
asir-4876	103	42	line	line	NOUN
asir-4876	103	43	(	(	PUNCT
asir-4876	103	44	here	here	ADV
asir-4876	103	45	𝑛	𝑛	PRON
asir-4876	104	1	=	=	SYM
asir-4876	104	2	√𝜀1	√𝜀1	PROPN
asir-4876	104	3	is	be	AUX
asir-4876	104	4	a	a	DET
asir-4876	104	5	wave	wave	NOUN
asir-4876	104	6	slowing	slow	VERB
asir-4876	104	7	,	,	PUNCT
asir-4876	104	8	𝜀1	𝜀1	PROPN
asir-4876	104	9	is	be	AUX
asir-4876	104	10	a	a	DET
asir-4876	104	11	relative	relative	ADJ
asir-4876	104	12	substrate	substrate	NOUN
asir-4876	104	13	permittivity	permittivity	NOUN
asir-4876	104	14	)	)	PUNCT
asir-4876	104	15	.	.	PUNCT
asir-4876	105	1	capacitance	capacitance	NOUN
asir-4876	105	2	𝐶1	𝐶1	PRON
asir-4876	105	3	in	in	ADP
asir-4876	105	4	the	the	DET
asir-4876	105	5	first	first	ADJ
asir-4876	105	6	approximation	approximation	NOUN
asir-4876	105	7	,	,	PUNCT
asir-4876	105	8	as	as	SCONJ
asir-4876	105	9	previously	previously	ADV
asir-4876	105	10	shown	show	VERB
asir-4876	105	11	,	,	PUNCT
asir-4876	105	12	is	be	AUX
asir-4876	105	13	equal	equal	ADJ
asir-4876	105	14	to	to	ADP
asir-4876	105	15	𝐶1	𝐶1	PROPN
asir-4876	105	16	=	=	SYM
asir-4876	105	17	𝜀1𝜀0𝑏	𝜀1𝜀0𝑏	PUNCT
asir-4876	106	1	ℎ.⁄	ℎ.⁄	PROPN
asir-4876	106	2	as	as	ADP
asir-4876	106	3	a	a	DET
asir-4876	106	4	result	result	NOUN
asir-4876	106	5	,	,	PUNCT
asir-4876	106	6	we	we	PRON
asir-4876	106	7	get	get	VERB
asir-4876	106	8	𝑊1	𝑊1	PROPN
asir-4876	106	9	=	=	SYM
asir-4876	106	10	120	120	NUM
asir-4876	106	11	𝜋ℎ	𝜋ℎ	NOUN
asir-4876	106	12	𝑏√𝜀1	𝑏√𝜀1	PROPN
asir-4876	106	13	.	.	PUNCT
asir-4876	107	1	(	(	PUNCT
asir-4876	107	2	1	1	X
asir-4876	107	3	)	)	PUNCT
asir-4876	107	4	this	this	DET
asir-4876	107	5	value	value	NOUN
asir-4876	107	6	is	be	AUX
asir-4876	107	7	usually	usually	ADV
asir-4876	107	8	specified	specify	VERB
asir-4876	107	9	in	in	ADP
asir-4876	107	10	microstrip	microstrip	NOUN
asir-4876	107	11	antenna	antenna	NOUN
asir-4876	107	12	manuals	manual	NOUN
asir-4876	107	13	.	.	PUNCT
asir-4876	108	1	if	if	SCONJ
asir-4876	108	2	the	the	DET
asir-4876	108	3	structure	structure	NOUN
asir-4876	108	4	used	use	VERB
asir-4876	108	5	in	in	ADP
asir-4876	108	6	this	this	DET
asir-4876	108	7	calculation	calculation	NOUN
asir-4876	108	8	is	be	AUX
asir-4876	108	9	replaced	replace	VERB
asir-4876	108	10	by	by	ADP
asir-4876	108	11	the	the	DET
asir-4876	108	12	new	new	ADJ
asir-4876	108	13	structure	structure	NOUN
asir-4876	108	14	shown	show	VERB
asir-4876	108	15	in	in	ADP
asir-4876	108	16	figure	figure	NOUN
asir-4876	108	17	4	4	NUM
asir-4876	108	18	,	,	PUNCT
asir-4876	108	19	then	then	ADV
asir-4876	108	20	the	the	DET
asir-4876	108	21	result	result	NOUN
asir-4876	108	22	gives	give	VERB
asir-4876	108	23	some	some	DET
asir-4876	108	24	error	error	NOUN
asir-4876	108	25	.	.	PUNCT
asir-4876	109	1	but	but	CCONJ
asir-4876	109	2	the	the	DET
asir-4876	109	3	new	new	ADJ
asir-4876	109	4	structure	structure	NOUN
asir-4876	109	5	permits	permit	VERB
asir-4876	109	6	to	to	PART
asir-4876	109	7	take	take	VERB
asir-4876	109	8	into	into	ADP
asir-4876	109	9	account	account	NOUN
asir-4876	109	10	the	the	DET
asir-4876	109	11	influence	influence	NOUN
asir-4876	109	12	of	of	ADP
asir-4876	109	13	the	the	DET
asir-4876	109	14	zero	zero	NUM
asir-4876	109	15	potential	potential	ADJ
asir-4876	109	16	surface	surface	NOUN
asir-4876	109	17	,	,	PUNCT
asir-4876	109	18	indicated	indicate	VERB
asir-4876	109	19	by	by	ADP
asir-4876	109	20	the	the	DET
asir-4876	109	21	number	number	NOUN
asir-4876	109	22	4	4	NUM
asir-4876	109	23	.	.	PUNCT
asir-4876	110	1	this	this	DET
asir-4876	110	2	surface	surface	NOUN
asir-4876	110	3	is	be	AUX
asir-4876	110	4	usually	usually	ADV
asir-4876	110	5	not	not	PART
asir-4876	110	6	taken	take	VERB
asir-4876	110	7	into	into	ADP
asir-4876	110	8	account	account	NOUN
asir-4876	110	9	,	,	PUNCT
asir-4876	110	10	and	and	CCONJ
asir-4876	110	11	that	that	SCONJ
asir-4876	110	12	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-4876	110	13	applied	apply	VERB
asir-4876	110	14	science	science	NOUN
asir-4876	110	15	and	and	CCONJ
asir-4876	110	16	innovative	innovative	ADJ
asir-4876	110	17	research	research	NOUN
asir-4876	110	18	vol	vol	NOUN
asir-4876	110	19	.	.	PROPN
asir-4876	111	1	6	6	NUM
asir-4876	111	2	,	,	PUNCT
asir-4876	111	3	no	no	INTJ
asir-4876	111	4	.	.	NOUN
asir-4876	111	5	3	3	NUM
asir-4876	111	6	,	,	PUNCT
asir-4876	111	7	2022	2022	NUM
asir-4876	111	8	7	7	NUM
asir-4876	111	9	published	publish	VERB
asir-4876	111	10	by	by	ADP
asir-4876	111	11	scholink	scholink	PROPN
asir-4876	111	12	inc	inc	PROPN
asir-4876	111	13	.	.	PROPN
asir-4876	111	14	leads	lead	VERB
asir-4876	111	15	to	to	ADP
asir-4876	111	16	a	a	DET
asir-4876	111	17	significant	significant	ADJ
asir-4876	111	18	error	error	NOUN
asir-4876	111	19	.	.	PUNCT
asir-4876	112	1	from	from	ADP
asir-4876	112	2	the	the	DET
asir-4876	112	3	solution	solution	NOUN
asir-4876	112	4	of	of	ADP
asir-4876	112	5	the	the	DET
asir-4876	112	6	integral	integral	ADJ
asir-4876	112	7	equation	equation	NOUN
asir-4876	112	8	for	for	ADP
asir-4876	112	9	the	the	DET
asir-4876	112	10	current	current	NOUN
asir-4876	112	11	in	in	ADP
asir-4876	112	12	a	a	DET
asir-4876	112	13	symmetrical	symmetrical	ADJ
asir-4876	112	14	linear	linear	NOUN
asir-4876	112	15	radiator	radiator	NOUN
asir-4876	112	16	with	with	ADP
asir-4876	112	17	a	a	DET
asir-4876	112	18	length	length	NOUN
asir-4876	112	19	2l	2l	NUM
asir-4876	112	20	it	it	PRON
asir-4876	112	21	follows	follow	VERB
asir-4876	112	22	that	that	SCONJ
asir-4876	112	23	its	its	PRON
asir-4876	112	24	wave	wave	NOUN
asir-4876	112	25	impedance	impedance	NOUN
asir-4876	112	26	is	be	AUX
asir-4876	112	27	approximately	approximately	ADV
asir-4876	112	28	equal	equal	ADJ
asir-4876	112	29	to	to	ADP
asir-4876	112	30	𝑊𝐴	𝑊𝐴	PROPN
asir-4876	112	31	=	=	SYM
asir-4876	112	32	120(ln	120(ln	NUM
asir-4876	113	1	2𝐿	2𝐿	PROPN
asir-4876	113	2	𝑎⁄	𝑎⁄	NOUN
asir-4876	113	3	−	−	PROPN
asir-4876	113	4	1	1	NUM
asir-4876	113	5	)	)	PUNCT
asir-4876	113	6	,	,	PUNCT
asir-4876	113	7	where	where	SCONJ
asir-4876	113	8	a	a	PRON
asir-4876	113	9	is	be	AUX
asir-4876	113	10	the	the	DET
asir-4876	113	11	wire	wire	NOUN
asir-4876	113	12	radius	radius	NOUN
asir-4876	113	13	.	.	PUNCT
asir-4876	114	1	the	the	DET
asir-4876	114	2	capacitance	capacitance	NOUN
asir-4876	114	3	of	of	ADP
asir-4876	114	4	a	a	DET
asir-4876	114	5	single	single	ADJ
asir-4876	114	6	wire	wire	NOUN
asir-4876	114	7	per	per	ADP
asir-4876	114	8	unit	unit	NOUN
asir-4876	114	9	length	length	NOUN
asir-4876	114	10	is	be	AUX
asir-4876	114	11	twice	twice	ADV
asir-4876	114	12	as	as	ADV
asir-4876	114	13	large	large	ADJ
asir-4876	114	14	as	as	ADP
asir-4876	114	15	the	the	DET
asir-4876	114	16	capacitance	capacitance	NOUN
asir-4876	114	17	of	of	ADP
asir-4876	114	18	the	the	DET
asir-4876	114	19	long	long	ADJ
asir-4876	114	20	line	line	NOUN
asir-4876	114	21	,	,	PUNCT
asir-4876	114	22	and	and	CCONJ
asir-4876	114	23	the	the	DET
asir-4876	114	24	wave	wave	NOUN
asir-4876	114	25	impedance	impedance	NOUN
asir-4876	114	26	of	of	ADP
asir-4876	114	27	a	a	DET
asir-4876	114	28	single	single	ADJ
asir-4876	114	29	wire	wire	NOUN
asir-4876	114	30	is	be	AUX
asir-4876	114	31	half	half	ADV
asir-4876	114	32	as	as	ADV
asir-4876	114	33	much	much	ADJ
asir-4876	114	34	as	as	ADP
asir-4876	114	35	the	the	DET
asir-4876	114	36	wave	wave	NOUN
asir-4876	114	37	impedance	impedance	NOUN
asir-4876	114	38	of	of	ADP
asir-4876	114	39	the	the	DET
asir-4876	114	40	long	long	ADJ
asir-4876	114	41	line	line	NOUN
asir-4876	114	42	,	,	PUNCT
asir-4876	114	43	i.e.	i.e.	X
asir-4876	114	44	,	,	PUNCT
asir-4876	114	45	it	it	PRON
asir-4876	114	46	is	be	AUX
asir-4876	114	47	equal	equal	ADJ
asir-4876	114	48	to	to	PART
asir-4876	114	49	𝑊2	𝑊2	VERB
asir-4876	114	50	=	=	SYM
asir-4876	115	1	60(ln	60(ln	NUM
asir-4876	115	2	2𝐿	2𝐿	NOUN
asir-4876	115	3	𝑎⁄	𝑎⁄	NOUN
asir-4876	115	4	−	−	NOUN
asir-4876	115	5	1	1	NUM
asir-4876	115	6	)	)	PUNCT
asir-4876	115	7	.	.	PUNCT
asir-4876	116	1	(	(	PUNCT
asir-4876	116	2	2	2	X
asir-4876	116	3	)	)	PUNCT
asir-4876	116	4	as	as	SCONJ
asir-4876	116	5	follows	follow	VERB
asir-4876	116	6	from	from	ADP
asir-4876	116	7	the	the	DET
asir-4876	116	8	above	above	NOUN
asir-4876	116	9	,	,	PUNCT
asir-4876	116	10	the	the	DET
asir-4876	116	11	replacement	replacement	NOUN
asir-4876	116	12	of	of	ADP
asir-4876	116	13	the	the	DET
asir-4876	116	14	calculated	calculate	VERB
asir-4876	116	15	structure	structure	NOUN
asir-4876	116	16	by	by	ADP
asir-4876	116	17	the	the	DET
asir-4876	116	18	structure	structure	NOUN
asir-4876	116	19	shown	show	VERB
asir-4876	116	20	in	in	ADP
asir-4876	116	21	figure	figure	NOUN
asir-4876	116	22	4	4	NUM
asir-4876	116	23	leads	lead	VERB
asir-4876	116	24	to	to	ADP
asir-4876	116	25	an	an	DET
asir-4876	116	26	approximate	approximate	ADJ
asir-4876	116	27	choice	choice	NOUN
asir-4876	116	28	of	of	ADP
asir-4876	116	29	the	the	DET
asir-4876	116	30	value	value	NOUN
asir-4876	116	31	a	a	PRON
asir-4876	116	32	in	in	ADP
asir-4876	116	33	the	the	DET
asir-4876	116	34	expression	expression	NOUN
asir-4876	116	35	for	for	ADP
asir-4876	116	36	the	the	DET
asir-4876	116	37	antenna	antenna	NOUN
asir-4876	116	38	wave	wave	NOUN
asir-4876	116	39	impedance	impedance	NOUN
asir-4876	116	40	.	.	PUNCT
asir-4876	117	1	but	but	CCONJ
asir-4876	117	2	this	this	PRON
asir-4876	117	3	is	be	AUX
asir-4876	117	4	a	a	DET
asir-4876	117	5	standard	standard	ADJ
asir-4876	117	6	substitution	substitution	NOUN
asir-4876	117	7	used	use	VERB
asir-4876	117	8	in	in	ADP
asir-4876	117	9	the	the	DET
asir-4876	117	10	derivation	derivation	NOUN
asir-4876	117	11	and	and	CCONJ
asir-4876	117	12	solution	solution	NOUN
asir-4876	117	13	of	of	ADP
asir-4876	117	14	integral	integral	ADJ
asir-4876	117	15	equations	equation	NOUN
asir-4876	117	16	for	for	ADP
asir-4876	117	17	current	current	ADJ
asir-4876	117	18	,	,	PUNCT
asir-4876	117	19	and	and	CCONJ
asir-4876	117	20	the	the	DET
asir-4876	117	21	error	error	NOUN
asir-4876	117	22	caused	cause	VERB
asir-4876	117	23	by	by	ADP
asir-4876	117	24	it	it	PRON
asir-4876	117	25	is	be	AUX
asir-4876	117	26	minimal	minimal	ADJ
asir-4876	117	27	.	.	PUNCT
asir-4876	118	1	hence	hence	ADV
asir-4876	118	2	,	,	PUNCT
asir-4876	118	3	the	the	DET
asir-4876	118	4	total	total	ADJ
asir-4876	118	5	wave	wave	NOUN
asir-4876	118	6	impedance	impedance	NOUN
asir-4876	118	7	of	of	ADP
asir-4876	118	8	the	the	DET
asir-4876	118	9	antenna	antenna	NOUN
asir-4876	118	10	shown	show	VERB
asir-4876	118	11	in	in	ADP
asir-4876	118	12	figure	figure	NOUN
asir-4876	118	13	1a	1a	PROPN
asir-4876	118	14	is	be	AUX
asir-4876	118	15	𝑊	𝑊	PROPN
asir-4876	118	16	=	=	PUNCT
asir-4876	118	17	𝑊1𝑊2	𝑊1𝑊2	ADJ
asir-4876	118	18	𝑊1+𝑊2	𝑊1+𝑊2	NOUN
asir-4876	118	19	.	.	PUNCT
asir-4876	119	1	(	(	PUNCT
asir-4876	119	2	3	3	X
asir-4876	119	3	)	)	PUNCT
asir-4876	119	4	to	to	PART
asir-4876	119	5	determine	determine	VERB
asir-4876	119	6	the	the	DET
asir-4876	119	7	reactive	reactive	ADJ
asir-4876	119	8	component	component	NOUN
asir-4876	119	9	of	of	ADP
asir-4876	119	10	the	the	DET
asir-4876	119	11	input	input	NOUN
asir-4876	119	12	impedance	impedance	NOUN
asir-4876	119	13	,	,	PUNCT
asir-4876	119	14	it	it	PRON
asir-4876	119	15	is	be	AUX
asir-4876	119	16	necessary	necessary	ADJ
asir-4876	119	17	to	to	PART
asir-4876	119	18	clarify	clarify	VERB
asir-4876	119	19	the	the	DET
asir-4876	119	20	value	value	NOUN
asir-4876	119	21	of	of	ADP
asir-4876	119	22	the	the	DET
asir-4876	119	23	propagation	propagation	NOUN
asir-4876	119	24	constant	constant	ADJ
asir-4876	119	25	.	.	PUNCT
asir-4876	120	1	as	as	SCONJ
asir-4876	120	2	can	can	AUX
asir-4876	120	3	be	be	AUX
asir-4876	120	4	seen	see	VERB
asir-4876	120	5	from	from	ADP
asir-4876	120	6	figure	figure	NOUN
asir-4876	120	7	1	1	NUM
asir-4876	120	8	,	,	PUNCT
asir-4876	120	9	microstrip	microstrip	NOUN
asir-4876	120	10	antennas	antenna	NOUN
asir-4876	120	11	are	be	AUX
asir-4876	120	12	made	make	VERB
asir-4876	120	13	in	in	ADP
asir-4876	120	14	two	two	NUM
asir-4876	120	15	versions	version	NOUN
asir-4876	120	16	:	:	PUNCT
asir-4876	120	17	asymmetric	asymmetric	ADJ
asir-4876	120	18	and	and	CCONJ
asir-4876	120	19	symmetrical	symmetrical	ADJ
asir-4876	120	20	.	.	PUNCT
asir-4876	121	1	in	in	ADP
asir-4876	121	2	the	the	DET
asir-4876	121	3	first	first	ADJ
asir-4876	121	4	version	version	NOUN
asir-4876	121	5	,	,	PUNCT
asir-4876	121	6	the	the	DET
asir-4876	121	7	antenna	antenna	NOUN
asir-4876	121	8	equivalent	equivalent	NOUN
asir-4876	121	9	is	be	AUX
asir-4876	121	10	a	a	DET
asir-4876	121	11	segment	segment	NOUN
asir-4876	121	12	of	of	ADP
asir-4876	121	13	a	a	DET
asir-4876	121	14	long	long	ADJ
asir-4876	121	15	line	line	NOUN
asir-4876	121	16	,	,	PUNCT
asir-4876	121	17	excited	excite	VERB
asir-4876	121	18	at	at	ADP
asir-4876	121	19	one	one	NUM
asir-4876	121	20	end	end	NOUN
asir-4876	121	21	and	and	CCONJ
asir-4876	121	22	open	open	ADJ
asir-4876	121	23	at	at	ADP
asir-4876	121	24	the	the	DET
asir-4876	121	25	other	other	ADJ
asir-4876	121	26	end	end	NOUN
asir-4876	121	27	(	(	PUNCT
asir-4876	121	28	analogous	analogous	ADJ
asir-4876	121	29	to	to	ADP
asir-4876	121	30	a	a	DET
asir-4876	121	31	monopole	monopole	NOUN
asir-4876	121	32	)	)	PUNCT
asir-4876	121	33	.	.	PUNCT
asir-4876	122	1	wave	wave	PROPN
asir-4876	122	2	impedance	impedance	NOUN
asir-4876	122	3	w	w	ADP
asir-4876	122	4	was	be	AUX
asir-4876	122	5	obtained	obtain	VERB
asir-4876	122	6	for	for	ADP
asir-4876	122	7	the	the	DET
asir-4876	122	8	first	first	ADJ
asir-4876	122	9	option	option	NOUN
asir-4876	122	10	.	.	PUNCT
asir-4876	123	1	the	the	DET
asir-4876	123	2	symmetrical	symmetrical	ADJ
asir-4876	123	3	radiator	radiator	NOUN
asir-4876	123	4	(	(	PUNCT
asir-4876	123	5	dipole	dipole	NOUN
asir-4876	123	6	)	)	PUNCT
asir-4876	123	7	is	be	AUX
asir-4876	123	8	the	the	DET
asir-4876	123	9	equivalent	equivalent	NOUN
asir-4876	123	10	of	of	ADP
asir-4876	123	11	the	the	DET
asir-4876	123	12	second	second	ADJ
asir-4876	123	13	option	option	NOUN
asir-4876	123	14	.	.	PUNCT
asir-4876	124	1	it	it	PRON
asir-4876	124	2	consists	consist	VERB
asir-4876	124	3	of	of	ADP
asir-4876	124	4	two	two	NUM
asir-4876	124	5	identical	identical	ADJ
asir-4876	124	6	line	line	NOUN
asir-4876	124	7	segments	segment	NOUN
asir-4876	124	8	,	,	PUNCT
asir-4876	124	9	excited	excite	VERB
asir-4876	124	10	in	in	ADP
asir-4876	124	11	the	the	DET
asir-4876	124	12	center	center	NOUN
asir-4876	124	13	of	of	ADP
asir-4876	124	14	the	the	DET
asir-4876	124	15	structure	structure	NOUN
asir-4876	124	16	and	and	CCONJ
asir-4876	124	17	open	open	ADJ
asir-4876	124	18	at	at	ADP
asir-4876	124	19	the	the	DET
asir-4876	124	20	ends	end	NOUN
asir-4876	124	21	remote	remote	ADJ
asir-4876	124	22	from	from	ADP
asir-4876	124	23	each	each	DET
asir-4876	124	24	other	other	ADJ
asir-4876	124	25	.	.	PUNCT
asir-4876	125	1	if	if	SCONJ
asir-4876	125	2	the	the	DET
asir-4876	125	3	dimensions	dimension	NOUN
asir-4876	125	4	of	of	ADP
asir-4876	125	5	the	the	DET
asir-4876	125	6	arms	arm	NOUN
asir-4876	125	7	coincide	coincide	NOUN
asir-4876	125	8	with	with	ADP
asir-4876	125	9	the	the	DET
asir-4876	125	10	dimensions	dimension	NOUN
asir-4876	125	11	of	of	ADP
asir-4876	125	12	the	the	DET
asir-4876	125	13	first	first	ADJ
asir-4876	125	14	option	option	NOUN
asir-4876	125	15	,	,	PUNCT
asir-4876	125	16	then	then	ADV
asir-4876	125	17	the	the	DET
asir-4876	125	18	wave	wave	NOUN
asir-4876	125	19	impedance	impedance	NOUN
asir-4876	125	20	of	of	ADP
asir-4876	125	21	the	the	DET
asir-4876	125	22	second	second	ADJ
asir-4876	125	23	option	option	NOUN
asir-4876	125	24	is	be	AUX
asir-4876	125	25	twice	twice	ADV
asir-4876	125	26	as	as	ADV
asir-4876	125	27	large	large	ADJ
asir-4876	125	28	.	.	PUNCT
asir-4876	126	1	3	3	X
asir-4876	126	2	.	.	X
asir-4876	126	3	substrate	substrate	NOUN
asir-4876	126	4	one	one	NUM
asir-4876	126	5	of	of	ADP
asir-4876	126	6	the	the	DET
asir-4876	126	7	main	main	ADJ
asir-4876	126	8	elements	element	NOUN
asir-4876	126	9	of	of	ADP
asir-4876	126	10	a	a	DET
asir-4876	126	11	microstrip	microstrip	NOUN
asir-4876	126	12	antenna	antenna	NOUN
asir-4876	126	13	is	be	AUX
asir-4876	126	14	the	the	DET
asir-4876	126	15	substrate	substrate	NOUN
asir-4876	126	16	.	.	PUNCT
asir-4876	127	1	a	a	DET
asir-4876	127	2	substrate	substrate	NOUN
asir-4876	127	3	changes	change	VERB
asir-4876	127	4	all	all	DET
asir-4876	127	5	electric	electric	ADJ
asir-4876	127	6	characteristics	characteristic	NOUN
asir-4876	127	7	of	of	ADP
asir-4876	127	8	antenna	antenna	NOUN
asir-4876	127	9	:	:	PUNCT
asir-4876	127	10	capacitance	capacitance	NOUN
asir-4876	127	11	per	per	ADP
asir-4876	127	12	unit	unit	NOUN
asir-4876	127	13	length	length	NOUN
asir-4876	127	14	,	,	PUNCT
asir-4876	127	15	wave	wave	NOUN
asir-4876	127	16	length	length	NOUN
asir-4876	127	17	,	,	PUNCT
asir-4876	127	18	propagation	propagation	NOUN
asir-4876	127	19	constant	constant	ADJ
asir-4876	127	20	,	,	PUNCT
asir-4876	127	21	electric	electric	ADJ
asir-4876	127	22	field	field	NOUN
asir-4876	127	23	and	and	CCONJ
asir-4876	127	24	complicates	complicate	VERB
asir-4876	127	25	antenna	antenna	NOUN
asir-4876	127	26	calculation	calculation	NOUN
asir-4876	127	27	.	.	PUNCT
asir-4876	128	1	if	if	SCONJ
asir-4876	128	2	the	the	DET
asir-4876	128	3	antenna	antenna	NOUN
asir-4876	128	4	is	be	AUX
asir-4876	128	5	located	locate	VERB
asir-4876	128	6	in	in	ADP
asir-4876	128	7	a	a	DET
asir-4876	128	8	homogeneous	homogeneous	ADJ
asir-4876	128	9	medium	medium	NOUN
asir-4876	128	10	with	with	ADP
asir-4876	128	11	𝜀𝑟	𝜀𝑟	ADP
asir-4876	128	12	≠	≠	PROPN
asir-4876	128	13	1	1	NUM
asir-4876	128	14	,	,	PUNCT
asir-4876	128	15	the	the	DET
asir-4876	128	16	capacitance	capacitance	NOUN
asir-4876	128	17	с1	с1	NOUN
asir-4876	128	18	per	per	ADP
asir-4876	128	19	unit	unit	NOUN
asir-4876	128	20	length	length	NOUN
asir-4876	128	21	of	of	ADP
asir-4876	128	22	the	the	DET
asir-4876	128	23	antenna	antenna	NOUN
asir-4876	128	24	increases	increase	VERB
asir-4876	128	25	𝜀𝑟	𝜀𝑟	ADP
asir-4876	128	26	times	time	NOUN
asir-4876	128	27	.	.	PUNCT
asir-4876	129	1	at	at	ADP
asir-4876	129	2	the	the	DET
asir-4876	129	3	same	same	ADJ
asir-4876	129	4	time	time	NOUN
asir-4876	129	5	in	in	ADP
asir-4876	129	6	an	an	DET
asir-4876	129	7	antenna	antenna	NOUN
asir-4876	129	8	with	with	ADP
asir-4876	129	9	a	a	DET
asir-4876	129	10	substrate	substrate	NOUN
asir-4876	129	11	,	,	PUNCT
asir-4876	129	12	cut	cut	VERB
asir-4876	129	13	from	from	ADP
asir-4876	129	14	a	a	DET
asir-4876	129	15	material	material	NOUN
asir-4876	129	16	with	with	ADP
asir-4876	129	17	the	the	DET
asir-4876	129	18	same	same	ADJ
asir-4876	129	19	dielectric	dielectric	NOUN
asir-4876	129	20	constant	constant	ADJ
asir-4876	129	21	,	,	PUNCT
asir-4876	129	22	the	the	DET
asir-4876	129	23	capacitance	capacitance	NOUN
asir-4876	129	24	increases	increase	VERB
asir-4876	129	25	much	much	ADV
asir-4876	129	26	less	less	ADJ
asir-4876	129	27	,	,	PUNCT
asir-4876	129	28	only	only	ADV
asir-4876	129	29	𝜀𝑟е	𝜀𝑟е	NOUN
asir-4876	129	30	times	time	NOUN
asir-4876	129	31	,	,	PUNCT
asir-4876	129	32	and	and	CCONJ
asir-4876	129	33	this	this	DET
asir-4876	129	34	increase	increase	NOUN
asir-4876	129	35	depends	depend	VERB
asir-4876	129	36	on	on	ADP
asir-4876	129	37	the	the	DET
asir-4876	129	38	antenna	antenna	NOUN
asir-4876	129	39	design	design	NOUN
asir-4876	129	40	and	and	CCONJ
asir-4876	129	41	substrate	substrate	NOUN
asir-4876	129	42	dimensions	dimension	NOUN
asir-4876	129	43	.	.	PUNCT
asir-4876	130	1	in	in	ADP
asir-4876	130	2	this	this	DET
asir-4876	130	3	case	case	NOUN
asir-4876	130	4	the	the	DET
asir-4876	130	5	leontovich	leontovich	NOUN
asir-4876	130	6	’s	’s	PART
asir-4876	130	7	equation	equation	NOUN
asir-4876	130	8	for	for	ADP
asir-4876	130	9	the	the	DET
asir-4876	130	10	current	current	NOUN
asir-4876	130	11	in	in	ADP
asir-4876	130	12	a	a	DET
asir-4876	130	13	mode	mode	NOUN
asir-4876	130	14	of	of	ADP
asir-4876	130	15	own	own	ADJ
asir-4876	130	16	oscillations	oscillation	NOUN
asir-4876	130	17	has	have	VERB
asir-4876	130	18	the	the	DET
asir-4876	130	19	form	form	NOUN
asir-4876	130	20	𝑑2𝐽	𝑑2𝐽	ADJ
asir-4876	130	21	𝑑𝑧2	𝑑𝑧2	NOUN
asir-4876	131	1	+	+	CCONJ
asir-4876	131	2	𝑘1	𝑘1	ADJ
asir-4876	131	3	2𝐽	2𝐽	NOUN
asir-4876	131	4	=	=	SYM
asir-4876	131	5	0	0	PROPN
asir-4876	131	6	,	,	PUNCT
asir-4876	131	7	where	where	SCONJ
asir-4876	131	8	the	the	DET
asir-4876	131	9	wave	wave	NOUN
asir-4876	131	10	propagation	propagation	NOUN
asir-4876	131	11	constant	constant	ADJ
asir-4876	131	12	𝑘1	𝑘1	NOUN
asir-4876	131	13	=	=	PUNCT
asir-4876	131	14	𝑘√𝜀𝑟е	𝑘√𝜀𝑟е	PROPN
asir-4876	131	15	is	be	AUX
asir-4876	131	16	increased	increase	VERB
asir-4876	131	17	by	by	ADP
asir-4876	131	18	√𝜀𝑟е	√𝜀𝑟е	NOUN
asir-4876	131	19	times	time	NOUN
asir-4876	131	20	.	.	PUNCT
asir-4876	132	1	assuming	assume	VERB
asir-4876	132	2	that	that	SCONJ
asir-4876	132	3	the	the	DET
asir-4876	132	4	radius	radius	NOUN
asir-4876	132	5	𝑎	𝑎	PROPN
asir-4876	132	6	of	of	ADP
asir-4876	132	7	the	the	DET
asir-4876	132	8	antenna	antenna	NOUN
asir-4876	132	9	conductor	conductor	NOUN
asir-4876	132	10	is	be	AUX
asir-4876	132	11	small	small	ADJ
asir-4876	132	12	compared	compare	VERB
asir-4876	132	13	to	to	ADP
asir-4876	132	14	the	the	DET
asir-4876	132	15	antenna	antenna	NOUN
asir-4876	132	16	length	length	NOUN
asir-4876	132	17	2l	2l	NUM
asir-4876	132	18	,	,	PUNCT
asir-4876	132	19	i.e.	i.e.	X
asir-4876	132	20	,	,	PUNCT
asir-4876	132	21	the	the	DET
asir-4876	132	22	surface	surface	NOUN
asir-4876	132	23	of	of	ADP
asir-4876	132	24	zero	zero	NUM
asir-4876	132	25	potential	potential	NOUN
asir-4876	132	26	is	be	AUX
asir-4876	132	27	located	locate	VERB
asir-4876	132	28	at	at	ADP
asir-4876	132	29	a	a	DET
asir-4876	132	30	distance	distance	NOUN
asir-4876	132	31	2l	2l	NUM
asir-4876	132	32	from	from	ADP
asir-4876	132	33	the	the	DET
asir-4876	132	34	antenna	antenna	NOUN
asir-4876	132	35	surface	surface	NOUN
asir-4876	132	36	,	,	PUNCT
asir-4876	132	37	we	we	PRON
asir-4876	132	38	obtain	obtain	VERB
asir-4876	132	39	for	for	ADP
asir-4876	132	40	the	the	DET
asir-4876	132	41	self	self	NOUN
asir-4876	132	42	-	-	PUNCT
asir-4876	132	43	capacitance	capacitance	NOUN
asir-4876	132	44	of	of	ADP
asir-4876	132	45	a	a	DET
asir-4876	132	46	conductor	conductor	NOUN
asir-4876	132	47	per	per	ADP
asir-4876	132	48	unit	unit	NOUN
asir-4876	132	49	its	its	PRON
asir-4876	132	50	length	length	NOUN
asir-4876	132	51	с10	с10	NOUN
asir-4876	132	52	=	=	SYM
asir-4876	132	53	2𝜋𝜀𝑟е	2𝜋𝜀𝑟е	NUM
asir-4876	132	54	(	(	PUNCT
asir-4876	132	55	ln	ln	ADJ
asir-4876	132	56	2𝐿	2𝐿	PROPN
asir-4876	132	57	𝑎⁄	𝑎⁄	PROPN
asir-4876	132	58	−	−	PROPN
asir-4876	132	59	1),⁄	1),⁄	NOUN
asir-4876	132	60	and	and	CCONJ
asir-4876	132	61	for	for	ADP
asir-4876	132	62	the	the	DET
asir-4876	132	63	capacitance	capacitance	NOUN
asir-4876	132	64	per	per	ADP
asir-4876	132	65	unit	unit	NOUN
asir-4876	132	66	length	length	VERB
asir-4876	132	67	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	PROPN
asir-4876	132	68	applied	apply	VERB
asir-4876	132	69	science	science	NOUN
asir-4876	132	70	and	and	CCONJ
asir-4876	132	71	innovative	innovative	ADJ
asir-4876	132	72	research	research	NOUN
asir-4876	132	73	vol	vol	NOUN
asir-4876	132	74	.	.	PROPN
asir-4876	133	1	6	6	NUM
asir-4876	133	2	,	,	PUNCT
asir-4876	133	3	no	no	INTJ
asir-4876	133	4	.	.	NOUN
asir-4876	133	5	3	3	NUM
asir-4876	133	6	,	,	PUNCT
asir-4876	133	7	2022	2022	NUM
asir-4876	133	8	8	8	NUM
asir-4876	133	9	published	publish	VERB
asir-4876	133	10	by	by	ADP
asir-4876	133	11	scholink	scholink	PROPN
asir-4876	133	12	inc	inc	PROPN
asir-4876	133	13	.	.	PROPN
asir-4876	133	14	between	between	ADP
asir-4876	133	15	the	the	DET
asir-4876	133	16	antenna	antenna	NOUN
asir-4876	133	17	arms	arm	NOUN
asir-4876	133	18	с1	с1	NOUN
asir-4876	133	19	=	=	PUNCT
asir-4876	133	20	с10	с10	VERB
asir-4876	133	21	2.⁄	2.⁄	NUM
asir-4876	133	22	an	an	DET
asir-4876	133	23	increase	increase	NOUN
asir-4876	133	24	of	of	ADP
asir-4876	133	25	the	the	DET
asir-4876	133	26	propagation	propagation	NOUN
asir-4876	133	27	constant	constant	ADJ
asir-4876	133	28	leads	lead	VERB
asir-4876	133	29	to	to	ADP
asir-4876	133	30	a	a	DET
asir-4876	133	31	corresponding	corresponding	ADJ
asir-4876	133	32	increase	increase	NOUN
asir-4876	133	33	of	of	ADP
asir-4876	133	34	the	the	DET
asir-4876	133	35	antenna	antenna	NOUN
asir-4876	133	36	wave	wave	NOUN
asir-4876	133	37	impedance	impedance	NOUN
asir-4876	133	38	and	and	CCONJ
asir-4876	133	39	the	the	DET
asir-4876	133	40	reactive	reactive	ADJ
asir-4876	133	41	component	component	NOUN
asir-4876	133	42	of	of	ADP
asir-4876	133	43	its	its	PRON
asir-4876	133	44	input	input	NOUN
asir-4876	133	45	impedance	impedance	NOUN
asir-4876	133	46	.	.	PUNCT
asir-4876	134	1	from	from	ADP
asir-4876	134	2	the	the	DET
asir-4876	134	3	said	say	VERB
asir-4876	134	4	it	it	PRON
asir-4876	134	5	follows	follow	VERB
asir-4876	134	6	that	that	SCONJ
asir-4876	134	7	in	in	ADP
asir-4876	134	8	order	order	NOUN
asir-4876	134	9	to	to	PART
asir-4876	134	10	determine	determine	VERB
asir-4876	134	11	the	the	DET
asir-4876	134	12	electrical	electrical	ADJ
asir-4876	134	13	characteristics	characteristic	NOUN
asir-4876	134	14	of	of	ADP
asir-4876	134	15	a	a	DET
asir-4876	134	16	radiator	radiator	NOUN
asir-4876	134	17	located	locate	VERB
asir-4876	134	18	on	on	ADP
asir-4876	134	19	a	a	DET
asir-4876	134	20	substrate	substrate	NOUN
asir-4876	134	21	,	,	PUNCT
asir-4876	134	22	it	it	PRON
asir-4876	134	23	is	be	AUX
asir-4876	134	24	necessary	necessary	ADJ
asir-4876	134	25	to	to	PART
asir-4876	134	26	find	find	VERB
asir-4876	134	27	out	out	ADP
asir-4876	134	28	to	to	ADP
asir-4876	134	29	what	what	DET
asir-4876	134	30	extent	extent	NOUN
asir-4876	134	31	the	the	DET
asir-4876	134	32	substrate	substrate	NOUN
asir-4876	134	33	changes	change	VERB
asir-4876	134	34	a	a	DET
asir-4876	134	35	capacitance	capacitance	NOUN
asir-4876	134	36	per	per	ADP
asir-4876	134	37	unit	unit	NOUN
asir-4876	134	38	antenna	antenna	NOUN
asir-4876	134	39	length	length	NOUN
asir-4876	134	40	.	.	PUNCT
asir-4876	135	1	this	this	PRON
asir-4876	135	2	means	mean	VERB
asir-4876	135	3	that	that	SCONJ
asir-4876	135	4	the	the	DET
asir-4876	135	5	analysis	analysis	NOUN
asir-4876	135	6	of	of	ADP
asir-4876	135	7	the	the	DET
asir-4876	135	8	substrate	substrate	NOUN
asir-4876	135	9	effect	effect	NOUN
asir-4876	135	10	is	be	AUX
asir-4876	135	11	reduced	reduce	VERB
asir-4876	135	12	to	to	ADP
asir-4876	135	13	an	an	DET
asir-4876	135	14	electrostatic	electrostatic	ADJ
asir-4876	135	15	problem	problem	NOUN
asir-4876	135	16	.	.	PUNCT
asir-4876	136	1	the	the	DET
asir-4876	136	2	electrostatic	electrostatic	ADJ
asir-4876	136	3	problem	problem	NOUN
asir-4876	136	4	considers	consider	VERB
asir-4876	136	5	a	a	DET
asir-4876	136	6	system	system	NOUN
asir-4876	136	7	of	of	ADP
asir-4876	136	8	charged	charge	VERB
asir-4876	136	9	conducting	conduct	VERB
asir-4876	136	10	bodies	body	NOUN
asir-4876	136	11	located	locate	VERB
asir-4876	136	12	in	in	ADP
asir-4876	136	13	a	a	DET
asir-4876	136	14	dielectric	dielectric	ADJ
asir-4876	136	15	medium	medium	NOUN
asir-4876	136	16	,	,	PUNCT
asir-4876	136	17	in	in	ADP
asir-4876	136	18	which	which	PRON
asir-4876	136	19	volume	volume	NOUN
asir-4876	136	20	charges	charge	NOUN
asir-4876	136	21	are	be	AUX
asir-4876	136	22	absent	absent	ADJ
asir-4876	136	23	.	.	PUNCT
asir-4876	137	1	if	if	SCONJ
asir-4876	137	2	the	the	DET
asir-4876	137	3	charge	charge	NOUN
asir-4876	137	4	of	of	ADP
asir-4876	137	5	each	each	DET
asir-4876	137	6	body	body	NOUN
asir-4876	137	7	and	and	CCONJ
asir-4876	137	8	the	the	DET
asir-4876	137	9	charge	charge	NOUN
asir-4876	137	10	distribution	distribution	NOUN
asir-4876	137	11	over	over	ADP
asir-4876	137	12	the	the	DET
asir-4876	137	13	surface	surface	NOUN
asir-4876	137	14	of	of	ADP
asir-4876	137	15	the	the	DET
asir-4876	137	16	body	body	NOUN
asir-4876	137	17	are	be	AUX
asir-4876	137	18	known	know	VERB
asir-4876	137	19	,	,	PUNCT
asir-4876	137	20	then	then	ADV
asir-4876	137	21	in	in	ADP
asir-4876	137	22	a	a	DET
asir-4876	137	23	homogeneous	homogeneous	ADJ
asir-4876	137	24	medium	medium	NOUN
asir-4876	137	25	with	with	ADP
asir-4876	137	26	a	a	DET
asir-4876	137	27	dielectric	dielectric	ADJ
asir-4876	137	28	constant	constant	ADJ
asir-4876	137	29	ε	ε	PROPN
asir-4876	137	30	the	the	DET
asir-4876	137	31	potential	potential	ADJ
asir-4876	137	32	u	u	NOUN
asir-4876	137	33	,	,	PUNCT
asir-4876	137	34	determined	determine	VERB
asir-4876	137	35	by	by	ADP
asir-4876	137	36	the	the	DET
asir-4876	137	37	entire	entire	ADJ
asir-4876	137	38	set	set	NOUN
asir-4876	137	39	of	of	ADP
asir-4876	137	40	charges	charge	NOUN
asir-4876	137	41	located	locate	VERB
asir-4876	137	42	in	in	ADP
asir-4876	137	43	the	the	DET
asir-4876	137	44	volume	volume	NOUN
asir-4876	137	45	v	v	NOUN
asir-4876	137	46	,	,	PUNCT
asir-4876	137	47	can	can	AUX
asir-4876	137	48	be	be	AUX
asir-4876	137	49	found	find	VERB
asir-4876	137	50	using	use	VERB
asir-4876	137	51	the	the	DET
asir-4876	137	52	expression	expression	NOUN
asir-4876	137	53	.	.	PUNCT
asir-4876	138	1	here	here	ADV
asir-4876	138	2	𝜌𝑣	𝜌𝑣	PROPN
asir-4876	138	3	is	be	AUX
asir-4876	138	4	the	the	DET
asir-4876	138	5	charge	charge	NOUN
asir-4876	138	6	density	density	NOUN
asir-4876	138	7	of	of	ADP
asir-4876	138	8	the	the	DET
asir-4876	138	9	conducting	conduct	VERB
asir-4876	138	10	body	body	NOUN
asir-4876	138	11	,	,	PUNCT
asir-4876	138	12	r	r	NOUN
asir-4876	138	13	is	be	AUX
asir-4876	138	14	the	the	DET
asir-4876	138	15	distance	distance	NOUN
asir-4876	138	16	from	from	ADP
asir-4876	138	17	the	the	DET
asir-4876	138	18	point	point	NOUN
asir-4876	138	19	of	of	ADP
asir-4876	138	20	charge	charge	NOUN
asir-4876	138	21	placement	placement	NOUN
asir-4876	138	22	(	(	PUNCT
asir-4876	138	23	integration	integration	NOUN
asir-4876	138	24	point	point	NOUN
asir-4876	138	25	)	)	PUNCT
asir-4876	138	26	to	to	ADP
asir-4876	138	27	the	the	DET
asir-4876	138	28	observation	observation	NOUN
asir-4876	138	29	point	point	NOUN
asir-4876	138	30	.	.	PUNCT
asir-4876	139	1	the	the	DET
asir-4876	139	2	presented	present	VERB
asir-4876	139	3	integral	integral	NOUN
asir-4876	139	4	is	be	AUX
asir-4876	139	5	a	a	DET
asir-4876	139	6	solution	solution	NOUN
asir-4876	139	7	of	of	ADP
asir-4876	139	8	the	the	DET
asir-4876	139	9	poisson	poisson	NOUN
asir-4876	139	10	equation	equation	NOUN
asir-4876	139	11	.	.	PUNCT
asir-4876	140	1	if	if	SCONJ
asir-4876	140	2	the	the	DET
asir-4876	140	3	distribution	distribution	NOUN
asir-4876	140	4	of	of	ADP
asir-4876	140	5	charges	charge	NOUN
asir-4876	140	6	is	be	AUX
asir-4876	140	7	unknown	unknown	ADJ
asir-4876	140	8	,	,	PUNCT
asir-4876	140	9	then	then	ADV
asir-4876	140	10	in	in	ADP
asir-4876	140	11	accordance	accordance	NOUN
asir-4876	140	12	with	with	ADP
asir-4876	140	13	the	the	DET
asir-4876	140	14	uniqueness	uniqueness	NOUN
asir-4876	140	15	theorem	theorem	VERB
asir-4876	140	16	,	,	PUNCT
asir-4876	140	17	one	one	PRON
asir-4876	140	18	should	should	AUX
asir-4876	140	19	to	to	PART
asir-4876	140	20	establish	establish	VERB
asir-4876	140	21	the	the	DET
asir-4876	140	22	necessary	necessary	ADJ
asir-4876	140	23	and	and	CCONJ
asir-4876	140	24	sufficient	sufficient	ADJ
asir-4876	140	25	conditions	condition	NOUN
asir-4876	140	26	,	,	PUNCT
asir-4876	140	27	which	which	PRON
asir-4876	140	28	uniquely	uniquely	ADV
asir-4876	140	29	determine	determine	VERB
asir-4876	140	30	the	the	DET
asir-4876	140	31	field	field	NOUN
asir-4876	140	32	.	.	PUNCT
asir-4876	141	1	with	with	ADP
asir-4876	141	2	allowance	allowance	NOUN
asir-4876	141	3	for	for	ADP
asir-4876	141	4	these	these	DET
asir-4876	141	5	conditions	condition	NOUN
asir-4876	141	6	,	,	PUNCT
asir-4876	141	7	the	the	DET
asir-4876	141	8	field	field	NOUN
asir-4876	141	9	on	on	ADP
asir-4876	141	10	the	the	DET
asir-4876	141	11	surface	surface	NOUN
asir-4876	141	12	of	of	ADP
asir-4876	141	13	the	the	DET
asir-4876	141	14	conducting	conduct	VERB
asir-4876	141	15	body	body	NOUN
asir-4876	141	16	must	must	AUX
asir-4876	141	17	satisfy	satisfy	VERB
asir-4876	141	18	the	the	DET
asir-4876	141	19	laplace	laplace	NOUN
asir-4876	141	20	’s	’s	PART
asir-4876	141	21	equation	equation	NOUN
asir-4876	141	22	,	,	PUNCT
asir-4876	141	23	and	and	CCONJ
asir-4876	141	24	these	these	DET
asir-4876	141	25	surfaces	surface	NOUN
asir-4876	141	26	must	must	AUX
asir-4876	141	27	be	be	AUX
asir-4876	141	28	surfaces	surface	NOUN
asir-4876	141	29	of	of	ADP
asir-4876	141	30	equal	equal	ADJ
asir-4876	141	31	potential	potential	NOUN
asir-4876	141	32	,	,	PUNCT
asir-4876	141	33	i.e.	i.e.	X
asir-4876	141	34	,	,	PUNCT
asir-4876	141	35	on	on	ADP
asir-4876	141	36	each	each	PRON
asir-4876	141	37	of	of	ADP
asir-4876	141	38	them	they	PRON
asir-4876	141	39	𝑈	𝑈	PROPN
asir-4876	141	40	=	=	SYM
asir-4876	141	41	𝑈𝑚	𝑈𝑚	PROPN
asir-4876	141	42	=	=	PUNCT
asir-4876	141	43	const	const	PROPN
asir-4876	141	44	.	.	PUNCT
asir-4876	142	1	the	the	DET
asir-4876	142	2	total	total	ADJ
asir-4876	142	3	charge	charge	NOUN
asir-4876	142	4	𝑞𝑚	𝑞𝑚	NOUN
asir-4876	142	5	of	of	ADP
asir-4876	142	6	each	each	DET
asir-4876	142	7	body	body	NOUN
asir-4876	142	8	m	m	VERB
asir-4876	142	9	should	should	AUX
asir-4876	142	10	be	be	AUX
asir-4876	142	11	equal	equal	ADJ
asir-4876	142	12	𝑞𝑚	𝑞𝑚	NOUN
asir-4876	142	13	=	=	SYM
asir-4876	142	14	−∫	−∫	NOUN
asir-4876	142	15	𝜀	𝜀	X
asir-4876	142	16	(	(	PUNCT
asir-4876	142	17	𝑆𝑚	𝑆𝑚	NOUN
asir-4876	142	18	)	)	PUNCT
asir-4876	142	19	𝜕𝑈	𝜕𝑈	NOUN
asir-4876	142	20	𝜕𝑛	𝜕𝑛	NOUN
asir-4876	142	21	𝑑𝑆.	𝑑𝑆.	VERB
asir-4876	142	22	here	here	ADV
asir-4876	142	23	𝑆𝑚	𝑆𝑚	PROPN
asir-4876	142	24	is	be	AUX
asir-4876	142	25	the	the	DET
asir-4876	142	26	surface	surface	NOUN
asir-4876	142	27	of	of	ADP
asir-4876	142	28	a	a	DET
asir-4876	142	29	body	body	NOUN
asir-4876	142	30	m	m	NOUN
asir-4876	142	31	,	,	PUNCT
asir-4876	142	32	n	n	X
asir-4876	142	33	is	be	AUX
asir-4876	142	34	the	the	DET
asir-4876	142	35	normal	normal	ADJ
asir-4876	142	36	to	to	ADP
asir-4876	142	37	its	its	PRON
asir-4876	142	38	surface	surface	NOUN
asir-4876	142	39	.	.	PUNCT
asir-4876	143	1	the	the	DET
asir-4876	143	2	structure	structure	NOUN
asir-4876	143	3	of	of	ADP
asir-4876	143	4	an	an	DET
asir-4876	143	5	electrostatic	electrostatic	ADJ
asir-4876	143	6	field	field	NOUN
asir-4876	143	7	is	be	AUX
asir-4876	143	8	determined	determine	VERB
asir-4876	143	9	by	by	ADP
asir-4876	143	10	curves	curve	NOUN
asir-4876	143	11	of	of	ADP
asir-4876	143	12	equal	equal	ADJ
asir-4876	143	13	potential	potential	NOUN
asir-4876	143	14	,	,	PUNCT
asir-4876	143	15	along	along	ADP
asir-4876	143	16	which	which	PRON
asir-4876	143	17	u	u	NOUN
asir-4876	143	18	=	=	SYM
asir-4876	143	19	const	const	ADJ
asir-4876	143	20	,	,	PUNCT
asir-4876	143	21	and	and	CCONJ
asir-4876	143	22	by	by	ADP
asir-4876	143	23	curves	curve	NOUN
asir-4876	143	24	of	of	ADP
asir-4876	143	25	field	field	NOUN
asir-4876	143	26	strength	strength	NOUN
asir-4876	143	27	(	(	PUNCT
asir-4876	143	28	by	by	ADP
asir-4876	143	29	force	force	NOUN
asir-4876	143	30	lines	line	NOUN
asir-4876	143	31	)	)	PUNCT
asir-4876	143	32	v	v	NOUN
asir-4876	143	33	=	=	SYM
asir-4876	143	34	const	const	NOUN
asir-4876	143	35	.	.	PUNCT
asir-4876	144	1	each	each	PRON
asir-4876	144	2	of	of	ADP
asir-4876	144	3	these	these	DET
asir-4876	144	4	curves	curve	NOUN
asir-4876	144	5	is	be	AUX
asir-4876	144	6	a	a	DET
asir-4876	144	7	collection	collection	NOUN
asir-4876	144	8	of	of	ADP
asir-4876	144	9	points	point	NOUN
asir-4876	144	10	,	,	PUNCT
asir-4876	144	11	at	at	ADP
asir-4876	144	12	which	which	PRON
asir-4876	144	13	this	this	PRON
asir-4876	144	14	or	or	CCONJ
asir-4876	144	15	that	that	DET
asir-4876	144	16	equality	equality	NOUN
asir-4876	144	17	is	be	AUX
asir-4876	144	18	true	true	ADJ
asir-4876	144	19	.	.	PUNCT
asir-4876	145	1	the	the	DET
asir-4876	145	2	curves	curve	NOUN
asir-4876	145	3	corresponding	correspond	VERB
asir-4876	145	4	to	to	ADP
asir-4876	145	5	these	these	DET
asir-4876	145	6	two	two	NUM
asir-4876	145	7	equalities	equality	NOUN
asir-4876	145	8	are	be	AUX
asir-4876	145	9	two	two	NUM
asir-4876	145	10	families	family	NOUN
asir-4876	145	11	of	of	ADP
asir-4876	145	12	curves	curve	NOUN
asir-4876	145	13	intersecting	intersect	VERB
asir-4876	145	14	at	at	ADP
asir-4876	145	15	right	right	ADJ
asir-4876	145	16	angles	angle	NOUN
asir-4876	145	17	.	.	PUNCT
asir-4876	146	1	the	the	DET
asir-4876	146	2	problem	problem	NOUN
asir-4876	146	3	of	of	ADP
asir-4876	146	4	calculating	calculate	VERB
asir-4876	146	5	the	the	DET
asir-4876	146	6	electric	electric	ADJ
asir-4876	146	7	field	field	NOUN
asir-4876	146	8	of	of	ADP
asir-4876	146	9	charged	charge	VERB
asir-4876	146	10	bodies	body	NOUN
asir-4876	146	11	is	be	AUX
asir-4876	146	12	greatly	greatly	ADV
asir-4876	146	13	simplified	simplified	ADJ
asir-4876	146	14	,	,	PUNCT
asir-4876	146	15	if	if	SCONJ
asir-4876	146	16	the	the	DET
asir-4876	146	17	field	field	NOUN
asir-4876	146	18	depends	depend	VERB
asir-4876	146	19	on	on	ADP
asir-4876	146	20	only	only	ADV
asir-4876	146	21	two	two	NUM
asir-4876	146	22	coordinates	coordinate	NOUN
asir-4876	146	23	.	.	PUNCT
asir-4876	147	1	such	such	DET
asir-4876	147	2	a	a	DET
asir-4876	147	3	field	field	NOUN
asir-4876	147	4	is	be	AUX
asir-4876	147	5	called	call	VERB
asir-4876	147	6	by	by	ADP
asir-4876	147	7	a	a	DET
asir-4876	147	8	plane	plane	NOUN
asir-4876	147	9	-	-	PUNCT
asir-4876	147	10	parallel	parallel	ADJ
asir-4876	147	11	field	field	NOUN
asir-4876	147	12	.	.	PUNCT
asir-4876	148	1	this	this	PRON
asir-4876	148	2	,	,	PUNCT
asir-4876	148	3	for	for	ADP
asir-4876	148	4	example	example	NOUN
asir-4876	148	5	,	,	PUNCT
asir-4876	148	6	is	be	AUX
asir-4876	148	7	the	the	DET
asir-4876	148	8	field	field	NOUN
asir-4876	148	9	of	of	ADP
asir-4876	148	10	a	a	DET
asir-4876	148	11	system	system	NOUN
asir-4876	148	12	consisting	consist	VERB
asir-4876	148	13	of	of	ADP
asir-4876	148	14	several	several	ADJ
asir-4876	148	15	infinitely	infinitely	ADV
asir-4876	148	16	long	long	ADJ
asir-4876	148	17	cylindrical	cylindrical	ADJ
asir-4876	148	18	wires	wire	NOUN
asir-4876	148	19	parallel	parallel	ADJ
asir-4876	148	20	to	to	ADP
asir-4876	148	21	each	each	DET
asir-4876	148	22	other	other	ADJ
asir-4876	148	23	and	and	CCONJ
asir-4876	148	24	to	to	ADP
asir-4876	148	25	z	z	NOUN
asir-4876	148	26	axis	axis	NOUN
asir-4876	148	27	of	of	ADP
asir-4876	148	28	a	a	DET
asir-4876	148	29	rectangular	rectangular	ADJ
asir-4876	148	30	coordinate	coordinate	NOUN
asir-4876	148	31	system	system	NOUN
asir-4876	148	32	.	.	PUNCT
asir-4876	149	1	in	in	ADP
asir-4876	149	2	this	this	DET
asir-4876	149	3	case	case	NOUN
asir-4876	149	4	the	the	DET
asir-4876	149	5	wires	wire	NOUN
asir-4876	149	6	charges	charge	NOUN
asir-4876	149	7	are	be	AUX
asir-4876	149	8	uniformly	uniformly	ADV
asir-4876	149	9	distributed	distribute	VERB
asir-4876	149	10	along	along	ADP
asir-4876	149	11	their	their	PRON
asir-4876	149	12	length	length	NOUN
asir-4876	149	13	,	,	PUNCT
asir-4876	149	14	the	the	DET
asir-4876	149	15	field	field	NOUN
asir-4876	149	16	structure	structure	NOUN
asir-4876	149	17	is	be	AUX
asir-4876	149	18	the	the	DET
asir-4876	149	19	same	same	ADJ
asir-4876	149	20	in	in	ADP
asir-4876	149	21	all	all	DET
asir-4876	149	22	transverse	transverse	NOUN
asir-4876	149	23	planes	plane	NOUN
asir-4876	149	24	z	z	NOUN
asir-4876	149	25	=	=	SYM
asir-4876	149	26	const	const	PROPN
asir-4876	149	27	,	,	PUNCT
asir-4876	149	28	the	the	DET
asir-4876	149	29	lines	line	NOUN
asir-4876	149	30	of	of	ADP
asir-4876	149	31	field	field	NOUN
asir-4876	149	32	strength	strength	NOUN
asir-4876	149	33	and	and	CCONJ
asir-4876	149	34	equal	equal	ADJ
asir-4876	149	35	potential	potential	NOUN
asir-4876	149	36	in	in	ADP
asir-4876	149	37	these	these	DET
asir-4876	149	38	planes	plane	NOUN
asir-4876	149	39	depend	depend	VERB
asir-4876	149	40	only	only	ADV
asir-4876	149	41	on	on	ADP
asir-4876	149	42	two	two	NUM
asir-4876	149	43	coordinates	coordinate	NOUN
asir-4876	149	44	,	,	PUNCT
asir-4876	149	45	x	x	PUNCT
asir-4876	149	46	and	and	CCONJ
asir-4876	149	47	y.	y.	PROPN
asir-4876	149	48	let	let	VERB
asir-4876	149	49	dl	dl	PROPN
asir-4876	149	50	is	be	AUX
asir-4876	149	51	an	an	DET
asir-4876	149	52	element	element	NOUN
asir-4876	149	53	of	of	ADP
asir-4876	149	54	the	the	DET
asir-4876	149	55	line	line	NOUN
asir-4876	149	56	of	of	ADP
asir-4876	149	57	field	field	NOUN
asir-4876	149	58	strength	strength	NOUN
asir-4876	149	59	,	,	PUNCT
asir-4876	149	60	and	and	CCONJ
asir-4876	149	61	ds	ds	X
asir-4876	149	62	is	be	AUX
asir-4876	149	63	an	an	DET
asir-4876	149	64	element	element	NOUN
asir-4876	149	65	of	of	ADP
asir-4876	149	66	the	the	DET
asir-4876	149	67	line	line	NOUN
asir-4876	149	68	of	of	ADP
asir-4876	149	69	equal	equal	ADJ
asir-4876	149	70	potential	potential	NOUN
asir-4876	149	71	.	.	PUNCT
asir-4876	150	1	as	as	SCONJ
asir-4876	150	2	already	already	ADV
asir-4876	150	3	mentioned	mention	VERB
asir-4876	150	4	,	,	PUNCT
asir-4876	150	5	they	they	PRON
asir-4876	150	6	are	be	AUX
asir-4876	150	7	mutually	mutually	ADV
asir-4876	150	8	perpendicular	perpendicular	ADJ
asir-4876	150	9	.	.	PUNCT
asir-4876	151	1	the	the	DET
asir-4876	151	2	potential	potential	ADJ
asir-4876	151	3	u	u	NOUN
asir-4876	151	4	increases	increase	VERB
asir-4876	151	5	in	in	ADP
asir-4876	151	6	the	the	DET
asir-4876	151	7	direction	direction	NOUN
asir-4876	151	8	opposite	opposite	ADV
asir-4876	151	9	to	to	ADP
asir-4876	151	10	the	the	DET
asir-4876	151	11	vector	vector	PROPN
asir-4876	151	12	�	�	PROPN
asir-4876	151	13	⃗	⃗	PROPN
asir-4876	151	14	�	�	PROPN
asir-4876	151	15	,	,	PUNCT
asir-4876	151	16	i.e.	i.e.	X
asir-4876	151	17	,	,	PUNCT
asir-4876	151	18	in	in	ADP
asir-4876	151	19	the	the	DET
asir-4876	151	20	direction	direction	NOUN
asir-4876	151	21	of	of	ADP
asir-4876	151	22	decreasing	decrease	VERB
asir-4876	151	23	l.	l.	NOUN
asir-4876	151	24	it	it	PRON
asir-4876	151	25	is	be	AUX
asir-4876	151	26	generally	generally	ADV
asir-4876	151	27	accepted	accept	VERB
asir-4876	151	28	that	that	SCONJ
asir-4876	151	29	the	the	DET
asir-4876	151	30	flux	flux	NOUN
asir-4876	151	31	𝛹𝐸	𝛹𝐸	PROPN
asir-4876	151	32	of	of	ADP
asir-4876	151	33	the	the	DET
asir-4876	151	34	electric	electric	ADJ
asir-4876	151	35	field	field	NOUN
asir-4876	151	36	vector	vector	NOUN
asir-4876	151	37	grows	grow	VERB
asir-4876	151	38	in	in	ADP
asir-4876	151	39	the	the	DET
asir-4876	151	40	direction	direction	NOUN
asir-4876	151	41	of	of	ADP
asir-4876	151	42	increasing	increase	VERB
asir-4876	151	43	s.	s.	PROPN
asir-4876	151	44	in	in	ADP
asir-4876	151	45	accordance	accordance	NOUN
asir-4876	151	46	with	with	ADP
asir-4876	151	47	these	these	DET
asir-4876	151	48	conditions	condition	NOUN
asir-4876	151	49	,	,	PUNCT
asir-4876	151	50	the	the	DET
asir-4876	151	51	electric	electric	ADJ
asir-4876	151	52	field	field	NOUN
asir-4876	151	53	strength	strength	NOUN
asir-4876	151	54	may	may	AUX
asir-4876	151	55	be	be	AUX
asir-4876	151	56	related	relate	VERB
asir-4876	151	57	with	with	ADP
asir-4876	151	58	magnitudes	magnitude	NOUN
asir-4876	151	59	u	u	NOUN
asir-4876	151	60	and	and	CCONJ
asir-4876	151	61	v	v	NUM
asir-4876	151	62	by	by	ADP
asir-4876	151	63	dependences	dependence	NOUN
asir-4876	151	64	𝐸	𝐸	PROPN
asir-4876	151	65	=	=	SYM
asir-4876	151	66	−𝜕𝑈	−𝜕𝑈	NUM
asir-4876	151	67	𝜕𝑙	𝜕𝑙	ADJ
asir-4876	151	68	=	=	SYM
asir-4876	151	69	𝜕𝑉	𝜕𝑉	PROPN
asir-4876	151	70	𝜕𝑠.⁄⁄	𝜕𝑠.⁄⁄	NOUN
asir-4876	151	71	in	in	ADP
asir-4876	151	72	a	a	DET
asir-4876	151	73	rectangular	rectangular	ADJ
asir-4876	151	74	coordinate	coordinate	NOUN
asir-4876	151	75	system	system	NOUN
asir-4876	151	76	,	,	PUNCT
asir-4876	151	77	we	we	PRON
asir-4876	151	78	obtain	obtain	VERB
asir-4876	151	79	𝐸𝑥	𝐸𝑥	PROPN
asir-4876	151	80	=	=	SYM
asir-4876	151	81	−𝜕𝑈	−𝜕𝑈	X
asir-4876	151	82	𝜕𝑥	𝜕𝑥	X
asir-4876	151	83	=	=	PUNCT
asir-4876	152	1	𝜕𝑉	𝜕𝑉	PROPN
asir-4876	152	2	𝜕𝑦,⁄⁄	𝜕𝑦,⁄⁄	NOUN
asir-4876	152	3	𝐸𝑦	𝐸𝑦	PROPN
asir-4876	152	4	=	=	SYM
asir-4876	152	5	−𝜕𝑈	−𝜕𝑈	X
asir-4876	152	6	𝜕𝑦	𝜕𝑦	NOUN
asir-4876	152	7	=	=	SYM
asir-4876	152	8	−𝜕𝑉	−𝜕𝑉	ADP
asir-4876	152	9	𝜕𝑥.⁄⁄	𝜕𝑥.⁄⁄	NOUN
asir-4876	152	10	repeated	repeat	VERB
asir-4876	152	11	differentiation	differentiation	NOUN
asir-4876	152	12	shows	show	VERB
asir-4876	152	13	that	that	SCONJ
asir-4876	152	14	both	both	DET
asir-4876	152	15	functions	function	NOUN
asir-4876	152	16	(	(	PUNCT
asir-4876	152	17	u	u	NOUN
asir-4876	152	18	and	and	CCONJ
asir-4876	152	19	v	v	NOUN
asir-4876	152	20	)	)	PUNCT
asir-4876	152	21	satisfy	satisfy	VERB
asir-4876	152	22	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-4876	152	23	applied	apply	VERB
asir-4876	152	24	science	science	NOUN
asir-4876	152	25	and	and	CCONJ
asir-4876	152	26	innovative	innovative	ADJ
asir-4876	152	27	research	research	NOUN
asir-4876	152	28	vol	vol	NOUN
asir-4876	152	29	.	.	PROPN
asir-4876	153	1	6	6	NUM
asir-4876	153	2	,	,	PUNCT
asir-4876	153	3	no	no	INTJ
asir-4876	153	4	.	.	NOUN
asir-4876	153	5	3	3	NUM
asir-4876	153	6	,	,	PUNCT
asir-4876	153	7	2022	2022	NUM
asir-4876	153	8	9	9	NUM
asir-4876	153	9	published	publish	VERB
asir-4876	153	10	by	by	ADP
asir-4876	153	11	scholink	scholink	PROPN
asir-4876	153	12	inc	inc	PROPN
asir-4876	153	13	.	.	PROPN
asir-4876	153	14	laplace	laplace	PROPN
asir-4876	153	15	’s	’s	PART
asir-4876	153	16	equation	equation	NOUN
asir-4876	153	17	,	,	PUNCT
asir-4876	153	18	which	which	PRON
asir-4876	153	19	in	in	ADP
asir-4876	153	20	the	the	DET
asir-4876	153	21	rectangular	rectangular	ADJ
asir-4876	153	22	coordinate	coordinate	NOUN
asir-4876	153	23	system	system	NOUN
asir-4876	153	24	has	have	VERB
asir-4876	153	25	the	the	DET
asir-4876	153	26	form	form	NOUN
asir-4876	153	27	(	(	PUNCT
asir-4876	153	28	e.g.	e.g.	ADV
asir-4876	153	29	,	,	PUNCT
asir-4876	153	30	for	for	ADP
asir-4876	153	31	u	u	NOUN
asir-4876	153	32	)	)	PUNCT
asir-4876	153	33	𝜕2𝑈	𝜕2𝑈	NOUN
asir-4876	153	34	𝑑𝑥2	𝑑𝑥2	NOUN
asir-4876	153	35	+	+	CCONJ
asir-4876	153	36	𝜕2𝑈	𝜕2𝑈	NOUN
asir-4876	153	37	𝑑𝑦2	𝑑𝑦2	X
asir-4876	153	38	+	+	CCONJ
asir-4876	153	39	𝜕2𝑈	𝜕2𝑈	NOUN
asir-4876	153	40	𝑑𝑧2	𝑑𝑧2	NOUN
asir-4876	153	41	=	=	SYM
asir-4876	153	42	0	0	NUM
asir-4876	153	43	,	,	PUNCT
asir-4876	153	44	and	and	CCONJ
asir-4876	153	45	consequently	consequently	ADV
asir-4876	153	46	,	,	PUNCT
asir-4876	153	47	they	they	PRON
asir-4876	153	48	satisfy	satisfy	VERB
asir-4876	153	49	the	the	DET
asir-4876	153	50	first	first	ADJ
asir-4876	153	51	requirement	requirement	NOUN
asir-4876	153	52	of	of	ADP
asir-4876	153	53	the	the	DET
asir-4876	153	54	uniqueness	uniqueness	NOUN
asir-4876	153	55	theorem	theorem	VERB
asir-4876	153	56	.	.	PUNCT
asir-4876	154	1	if	if	SCONJ
asir-4876	154	2	to	to	PART
asir-4876	154	3	consider	consider	VERB
asir-4876	154	4	the	the	DET
asir-4876	154	5	plane	plane	NOUN
asir-4876	154	6	of	of	ADP
asir-4876	154	7	the	the	DET
asir-4876	154	8	cross	cross	NOUN
asir-4876	154	9	-	-	NOUN
asir-4876	154	10	section	section	NOUN
asir-4876	154	11	of	of	ADP
asir-4876	154	12	a	a	DET
asir-4876	154	13	plane	plane	NOUN
asir-4876	154	14	-	-	PUNCT
asir-4876	154	15	parallel	parallel	ADJ
asir-4876	154	16	field	field	NOUN
asir-4876	154	17	as	as	ADP
asir-4876	154	18	the	the	DET
asir-4876	154	19	plane	plane	NOUN
asir-4876	154	20	of	of	ADP
asir-4876	154	21	a	a	DET
asir-4876	154	22	complex	complex	ADJ
asir-4876	154	23	variable	variable	NOUN
asir-4876	154	24	𝑧	𝑧	NOUN
asir-4876	154	25	=	=	PUNCT
asir-4876	154	26	𝑥	𝑥	PROPN
asir-4876	154	27	+	+	NUM
asir-4876	154	28	𝑗y	𝑗y	NOUN
asir-4876	154	29	,	,	PUNCT
asir-4876	154	30	then	then	ADV
asir-4876	154	31	for	for	SCONJ
asir-4876	154	32	the	the	DET
asir-4876	154	33	regular	regular	ADJ
asir-4876	154	34	analytic	analytic	ADJ
asir-4876	154	35	function	function	NOUN
asir-4876	154	36	𝜍(𝑧	𝜍(𝑧	NOUN
asir-4876	154	37	)	)	PUNCT
asir-4876	154	38	=	=	SYM
asir-4876	155	1	𝜉(𝑥	𝜉(𝑥	PROPN
asir-4876	155	2	,	,	PUNCT
asir-4876	155	3	𝑦	𝑦	NOUN
asir-4876	155	4	)	)	PUNCT
asir-4876	155	5	+	+	NUM
asir-4876	155	6	𝑗𝜂(𝑥	𝑗𝜂(𝑥	PROPN
asir-4876	155	7	,	,	PUNCT
asir-4876	155	8	𝑦	𝑦	NOUN
asir-4876	155	9	)	)	PUNCT
asir-4876	155	10	of	of	ADP
asir-4876	155	11	the	the	DET
asir-4876	155	12	variable	variable	ADJ
asir-4876	155	13	z	z	NOUN
asir-4876	155	14	we	we	PRON
asir-4876	155	15	can	can	AUX
asir-4876	155	16	write	write	VERB
asir-4876	155	17	in	in	ADP
asir-4876	155	18	accordance	accordance	NOUN
asir-4876	155	19	with	with	ADP
asir-4876	155	20	the	the	DET
asir-4876	155	21	cauchy	cauchy	PROPN
asir-4876	155	22	-	-	PUNCT
asir-4876	155	23	riemann	riemann	PROPN
asir-4876	155	24	conditions	condition	NOUN
asir-4876	155	25	𝜕𝜂	𝜕𝜂	PROPN
asir-4876	155	26	𝜕𝑥	𝜕𝑥	NOUN
asir-4876	155	27	=	=	SYM
asir-4876	155	28	−𝜕𝜉	−𝜕𝜉	PROPN
asir-4876	155	29	𝜕𝑦,⁄⁄	𝜕𝑦,⁄⁄	NOUN
asir-4876	155	30	𝜕𝜂	𝜕𝜂	PROPN
asir-4876	155	31	𝜕𝑦	𝜕𝑦	PUNCT
asir-4876	155	32	=	=	SYM
asir-4876	155	33	−𝜕𝜉	−𝜕𝜉	PROPN
asir-4876	155	34	𝜕𝑥.⁄⁄	𝜕𝑥.⁄⁄	NOUN
asir-4876	156	1	it	it	PRON
asir-4876	156	2	is	be	AUX
asir-4876	156	3	easy	easy	ADJ
asir-4876	156	4	to	to	PART
asir-4876	156	5	be	be	AUX
asir-4876	156	6	convinced	convince	VERB
asir-4876	156	7	that	that	SCONJ
asir-4876	156	8	these	these	DET
asir-4876	156	9	equalities	equality	NOUN
asir-4876	156	10	coincide	coincide	VERB
asir-4876	156	11	with	with	ADP
asir-4876	156	12	the	the	DET
asir-4876	156	13	expressions	expression	NOUN
asir-4876	156	14	for	for	ADP
asir-4876	156	15	𝐸𝑥	𝐸𝑥	PROPN
asir-4876	156	16	and	and	CCONJ
asir-4876	156	17	𝐸𝑦	𝐸𝑦	PROPN
asir-4876	156	18	,	,	PUNCT
asir-4876	156	19	i.e.	i.e.	X
asir-4876	156	20	,	,	PUNCT
asir-4876	156	21	we	we	PRON
asir-4876	156	22	can	can	AUX
asir-4876	156	23	adopt	adopt	VERB
asir-4876	156	24	that	that	SCONJ
asir-4876	156	25	ξ	ξ	PROPN
asir-4876	156	26	=	=	SYM
asir-4876	156	27	v	v	PROPN
asir-4876	156	28	,	,	PUNCT
asir-4876	156	29	η	η	PROPN
asir-4876	156	30	=	=	PROPN
asir-4876	156	31	u	u	PROPN
asir-4876	156	32	and	and	CCONJ
asir-4876	156	33	use	use	VERB
asir-4876	156	34	the	the	DET
asir-4876	156	35	regular	regular	ADJ
asir-4876	156	36	analytic	analytic	ADJ
asir-4876	156	37	function	function	NOUN
asir-4876	156	38	ζ	ζ	NOUN
asir-4876	156	39	(	(	PUNCT
asir-4876	156	40	z	z	NOUN
asir-4876	156	41	)	)	PUNCT
asir-4876	156	42	=	=	NOUN
asir-4876	156	43	v	v	X
asir-4876	156	44	(	(	PUNCT
asir-4876	156	45	x	x	NOUN
asir-4876	156	46	,	,	PUNCT
asir-4876	156	47	y	y	PROPN
asir-4876	156	48	)	)	PUNCT
asir-4876	157	1	+	+	CCONJ
asir-4876	157	2	j	j	PROPN
asir-4876	157	3	u	u	NOUN
asir-4876	157	4	(	(	PUNCT
asir-4876	157	5	x	x	PROPN
asir-4876	157	6	,	,	PUNCT
asir-4876	157	7	y	y	PROPN
asir-4876	157	8	)	)	PUNCT
asir-4876	157	9	,	,	PUNCT
asir-4876	157	10	which	which	PRON
asir-4876	157	11	is	be	AUX
asir-4876	157	12	called	call	VERB
asir-4876	157	13	by	by	ADP
asir-4876	157	14	the	the	DET
asir-4876	157	15	complex	complex	ADJ
asir-4876	157	16	potential	potential	NOUN
asir-4876	157	17	of	of	ADP
asir-4876	157	18	the	the	DET
asir-4876	157	19	field	field	NOUN
asir-4876	157	20	.	.	PUNCT
asir-4876	158	1	in	in	ADP
asir-4876	158	2	each	each	DET
asir-4876	158	3	specific	specific	ADJ
asir-4876	158	4	case	case	NOUN
asir-4876	158	5	,	,	PUNCT
asir-4876	158	6	the	the	DET
asir-4876	158	7	problem	problem	NOUN
asir-4876	158	8	of	of	ADP
asir-4876	158	9	calculating	calculate	VERB
asir-4876	158	10	the	the	DET
asir-4876	158	11	field	field	NOUN
asir-4876	158	12	will	will	AUX
asir-4876	158	13	be	be	AUX
asir-4876	158	14	completely	completely	ADV
asir-4876	158	15	solved	solve	VERB
asir-4876	158	16	if	if	SCONJ
asir-4876	158	17	the	the	DET
asir-4876	158	18	function	function	NOUN
asir-4876	158	19	ζ	ζ	NOUN
asir-4876	158	20	(	(	PUNCT
asir-4876	158	21	z	z	NOUN
asir-4876	158	22	)	)	PUNCT
asir-4876	158	23	is	be	AUX
asir-4876	158	24	found	find	VERB
asir-4876	158	25	that	that	SCONJ
asir-4876	158	26	satisfies	satisfy	VERB
asir-4876	158	27	the	the	DET
asir-4876	158	28	boundary	boundary	ADJ
asir-4876	158	29	conditions	condition	NOUN
asir-4876	158	30	on	on	ADP
asir-4876	158	31	the	the	DET
asir-4876	158	32	surfaces	surface	NOUN
asir-4876	158	33	of	of	ADP
asir-4876	158	34	conducting	conduct	VERB
asir-4876	158	35	bodies	body	NOUN
asir-4876	158	36	.	.	PUNCT
asir-4876	159	1	the	the	DET
asir-4876	159	2	method	method	NOUN
asir-4876	159	3	of	of	ADP
asir-4876	159	4	complex	complex	ADJ
asir-4876	159	5	potential	potential	NOUN
asir-4876	159	6	and	and	CCONJ
asir-4876	159	7	examples	example	NOUN
asir-4876	159	8	of	of	ADP
asir-4876	159	9	its	its	PRON
asir-4876	159	10	use	use	NOUN
asir-4876	159	11	for	for	ADP
asir-4876	159	12	solving	solve	VERB
asir-4876	159	13	problems	problem	NOUN
asir-4876	159	14	devoted	devote	VERB
asir-4876	159	15	to	to	ADP
asir-4876	159	16	conducting	conduct	VERB
asir-4876	159	17	bodies	body	NOUN
asir-4876	159	18	located	locate	VERB
asir-4876	159	19	in	in	ADP
asir-4876	159	20	a	a	DET
asir-4876	159	21	homogeneous	homogeneous	ADJ
asir-4876	159	22	medium	medium	NOUN
asir-4876	159	23	are	be	AUX
asir-4876	159	24	described	describe	VERB
asir-4876	159	25	in	in	ADP
asir-4876	159	26	the	the	DET
asir-4876	159	27	monograph	monograph	NOUN
asir-4876	159	28	(	(	PUNCT
asir-4876	159	29	mirolubov	mirolubov	PROPN
asir-4876	159	30	,	,	PUNCT
asir-4876	159	31	kostenko	kostenko	PROPN
asir-4876	159	32	,	,	PUNCT
asir-4876	159	33	levinstein	levinstein	ADJ
asir-4876	159	34	,	,	PUNCT
asir-4876	159	35	&	&	CCONJ
asir-4876	159	36	tichodeev	tichodeev	PROPN
asir-4876	159	37	,	,	PUNCT
asir-4876	159	38	1963	1963	NUM
asir-4876	159	39	)	)	PUNCT
asir-4876	159	40	.	.	PUNCT
asir-4876	160	1	in	in	ADP
asir-4876	160	2	particular	particular	ADJ
asir-4876	160	3	,	,	PUNCT
asir-4876	160	4	there	there	ADV
asir-4876	160	5	it	it	PRON
asir-4876	160	6	is	be	AUX
asir-4876	160	7	shown	show	VERB
asir-4876	160	8	that	that	SCONJ
asir-4876	160	9	for	for	ADP
asir-4876	160	10	a	a	DET
asir-4876	160	11	solitary	solitary	ADJ
asir-4876	160	12	circular	circular	ADJ
asir-4876	160	13	wire	wire	NOUN
asir-4876	160	14	with	with	ADP
asir-4876	160	15	a	a	DET
asir-4876	160	16	charge	charge	NOUN
asir-4876	160	17	τ	τ	PROPN
asir-4876	160	18	per	per	ADP
asir-4876	160	19	unit	unit	NOUN
asir-4876	160	20	length	length	NOUN
asir-4876	160	21	,	,	PUNCT
asir-4876	160	22	located	locate	VERB
asir-4876	160	23	in	in	ADP
asir-4876	160	24	a	a	DET
asir-4876	160	25	homogeneous	homogeneous	ADJ
asir-4876	160	26	medium	medium	NOUN
asir-4876	160	27	with	with	ADP
asir-4876	160	28	a	a	DET
asir-4876	160	29	dielectric	dielectric	ADJ
asir-4876	160	30	constant	constant	ADJ
asir-4876	160	31	ε	ε	PROPN
asir-4876	160	32	,	,	PUNCT
asir-4876	160	33	the	the	DET
asir-4876	160	34	complex	complex	ADJ
asir-4876	160	35	potential	potential	NOUN
asir-4876	160	36	has	have	VERB
asir-4876	160	37	the	the	DET
asir-4876	160	38	form	form	NOUN
asir-4876	160	39	𝜁(𝑧	𝜁(𝑧	NOUN
asir-4876	160	40	)	)	PUNCT
asir-4876	160	41	=	=	PRON
asir-4876	161	1	−𝑗	−𝑗	PRON
asir-4876	161	2	𝜏	𝜏	DET
asir-4876	161	3	2𝜋𝜀	2𝜋𝜀	ADJ
asir-4876	161	4	𝑙𝑛𝑧	𝑙𝑛𝑧	NOUN
asir-4876	162	1	+	+	CCONJ
asir-4876	162	2	𝐶.	𝐶.	PROPN
asir-4876	162	3	(	(	PUNCT
asir-4876	162	4	4	4	NUM
asir-4876	162	5	)	)	PUNCT
asir-4876	162	6	here	here	ADV
asir-4876	162	7	𝐶	𝐶	PROPN
asir-4876	162	8	=	=	PUNCT
asir-4876	162	9	𝐶1	𝐶1	PROPN
asir-4876	163	1	+	+	CCONJ
asir-4876	163	2	𝑗𝐶2	𝑗𝐶2	PROPN
asir-4876	163	3	is	be	AUX
asir-4876	163	4	a	a	DET
asir-4876	163	5	constant	constant	ADJ
asir-4876	163	6	,	,	PUNCT
asir-4876	163	7	and	and	CCONJ
asir-4876	163	8	factors	factor	NOUN
asir-4876	163	9	𝐶1	𝐶1	VERB
asir-4876	163	10	and	and	CCONJ
asir-4876	163	11	𝐶2	𝐶2	INTJ
asir-4876	163	12	depend	depend	VERB
asir-4876	163	13	on	on	ADP
asir-4876	163	14	the	the	DET
asir-4876	163	15	choice	choice	NOUN
asir-4876	163	16	of	of	ADP
asir-4876	163	17	the	the	DET
asir-4876	163	18	initial	initial	ADJ
asir-4876	163	19	line	line	NOUN
asir-4876	163	20	of	of	ADP
asir-4876	163	21	field	field	NOUN
asir-4876	163	22	strength	strength	NOUN
asir-4876	163	23	and	and	CCONJ
asir-4876	163	24	the	the	DET
asir-4876	163	25	line	line	NOUN
asir-4876	163	26	of	of	ADP
asir-4876	163	27	zero	zero	NUM
asir-4876	163	28	potential	potential	NOUN
asir-4876	163	29	.	.	PUNCT
asir-4876	164	1	introducing	introduce	VERB
asir-4876	164	2	the	the	DET
asir-4876	164	3	notation	notation	NOUN
asir-4876	164	4	𝑧	𝑧	NOUN
asir-4876	164	5	=	=	SYM
asir-4876	164	6	𝜌𝑒𝑗𝜑	𝜌𝑒𝑗𝜑	NOUN
asir-4876	164	7	,	,	PUNCT
asir-4876	164	8	we	we	PRON
asir-4876	164	9	find	find	VERB
asir-4876	164	10	𝑉(𝑧	𝑉(𝑧	PRON
asir-4876	164	11	)	)	PUNCT
asir-4876	164	12	=	=	PUNCT
asir-4876	164	13	𝜏𝜑	𝜏𝜑	NUM
asir-4876	164	14	2𝜋𝜀	2𝜋𝜀	NOUN
asir-4876	164	15	+	+	CCONJ
asir-4876	164	16	𝐶1	𝐶1	NUM
asir-4876	164	17	,	,	PUNCT
asir-4876	164	18	𝑈(𝑧	𝑈(𝑧	X
asir-4876	164	19	)	)	PUNCT
asir-4876	164	20	=	=	SYM
asir-4876	165	1	−	−	PROPN
asir-4876	165	2	𝜏	𝜏	NUM
asir-4876	165	3	2𝜋𝜀	2𝜋𝜀	NOUN
asir-4876	165	4	𝑙𝑛𝜌	𝑙𝑛𝜌	NOUN
asir-4876	165	5	+	+	CCONJ
asir-4876	165	6	𝐶2	𝐶2	ADJ
asir-4876	165	7	,	,	PUNCT
asir-4876	165	8	(	(	PUNCT
asir-4876	165	9	5	5	X
asir-4876	165	10	)	)	PUNCT
asir-4876	165	11	whence	whence	NOUN
asir-4876	165	12	for	for	ADP
asir-4876	165	13	the	the	DET
asir-4876	165	14	line	line	NOUN
asir-4876	165	15	of	of	ADP
asir-4876	165	16	field	field	NOUN
asir-4876	165	17	strength	strength	NOUN
asir-4876	165	18	and	and	CCONJ
asir-4876	165	19	the	the	DET
asir-4876	165	20	line	line	NOUN
asir-4876	165	21	of	of	ADP
asir-4876	165	22	equal	equal	ADJ
asir-4876	165	23	potential	potential	NOUN
asir-4876	165	24	we	we	PRON
asir-4876	165	25	obtain	obtain	VERB
asir-4876	165	26	,	,	PUNCT
asir-4876	165	27	respectively	respectively	ADV
asir-4876	165	28	𝜑	𝜑	X
asir-4876	165	29	=	=	SYM
asir-4876	165	30	𝑐𝑜𝑛𝑠𝑡	𝑐𝑜𝑛𝑠𝑡	NOUN
asir-4876	165	31	,	,	PUNCT
asir-4876	165	32	𝜌	𝜌	X
asir-4876	165	33	=	=	SYM
asir-4876	165	34	𝑐𝑜𝑛𝑠𝑡.	𝑐𝑜𝑛𝑠𝑡.	NOUN
asir-4876	165	35	(	(	PUNCT
asir-4876	165	36	6	6	NUM
asir-4876	165	37	)	)	PUNCT
asir-4876	165	38	the	the	DET
asir-4876	165	39	constant	constant	ADJ
asir-4876	165	40	coefficients	coefficient	NOUN
asir-4876	165	41	included	include	VERB
asir-4876	165	42	in	in	ADP
asir-4876	165	43	expression	expression	NOUN
asir-4876	165	44	(	(	PUNCT
asir-4876	165	45	5	5	NUM
asir-4876	165	46	)	)	PUNCT
asir-4876	165	47	are	be	AUX
asir-4876	165	48	determined	determine	VERB
asir-4876	165	49	based	base	VERB
asir-4876	165	50	on	on	ADP
asir-4876	165	51	the	the	DET
asir-4876	165	52	condition	condition	NOUN
asir-4876	165	53	that	that	SCONJ
asir-4876	165	54	when	when	SCONJ
asir-4876	165	55	going	go	VERB
asir-4876	165	56	around	around	ADP
asir-4876	165	57	a	a	DET
asir-4876	165	58	closed	closed	ADJ
asir-4876	165	59	contour	contour	NOUN
asir-4876	165	60	around	around	ADP
asir-4876	165	61	the	the	DET
asir-4876	165	62	wire	wire	NOUN
asir-4876	165	63	section	section	NOUN
asir-4876	165	64	,	,	PUNCT
asir-4876	165	65	the	the	DET
asir-4876	165	66	angle	angle	NOUN
asir-4876	165	67	φ	φ	PROPN
asir-4876	165	68	increases	increase	NOUN
asir-4876	165	69	by	by	ADP
asir-4876	165	70	2𝜋	2𝜋	NUM
asir-4876	165	71	,	,	PUNCT
asir-4876	165	72	and	and	CCONJ
asir-4876	165	73	the	the	DET
asir-4876	165	74	function	function	NOUN
asir-4876	165	75	𝑉(𝑧	𝑉(𝑧	X
asir-4876	165	76	)	)	PUNCT
asir-4876	165	77	receives	receive	VERB
asir-4876	165	78	an	an	DET
asir-4876	165	79	increment	increment	NOUN
asir-4876	165	80	equal	equal	ADJ
asir-4876	165	81	to	to	ADP
asir-4876	165	82	ψ𝐸	ψ𝐸	PROPN
asir-4876	165	83	𝑙,⁄	𝑙,⁄	NUM
asir-4876	165	84	where	where	SCONJ
asir-4876	165	85	ψ𝐸	ψ𝐸	PROPN
asir-4876	165	86	is	be	AUX
asir-4876	165	87	the	the	DET
asir-4876	165	88	flux	flux	NOUN
asir-4876	165	89	of	of	ADP
asir-4876	165	90	the	the	DET
asir-4876	165	91	electric	electric	ADJ
asir-4876	165	92	field	field	PROPN
asir-4876	165	93	vector	vector	NOUN
asir-4876	165	94	�	�	PROPN
asir-4876	165	95	⃗	⃗	NOUN
asir-4876	165	96	�	�	PROPN
asir-4876	165	97	through	through	ADP
asir-4876	165	98	a	a	DET
asir-4876	165	99	cylindrical	cylindrical	ADJ
asir-4876	165	100	surface	surface	NOUN
asir-4876	165	101	covering	cover	VERB
asir-4876	165	102	the	the	DET
asir-4876	165	103	wire	wire	NOUN
asir-4876	165	104	segment	segment	NOUN
asir-4876	165	105	with	with	ADP
asir-4876	165	106	a	a	DET
asir-4876	165	107	length	length	NOUN
asir-4876	165	108	l.	l.	NOUN
asir-4876	165	109	the	the	DET
asir-4876	165	110	method	method	NOUN
asir-4876	165	111	of	of	ADP
asir-4876	165	112	complex	complex	ADJ
asir-4876	165	113	potential	potential	NOUN
asir-4876	165	114	allows	allow	VERB
asir-4876	165	115	us	we	PRON
asir-4876	165	116	to	to	PART
asir-4876	165	117	determine	determine	VERB
asir-4876	165	118	all	all	DET
asir-4876	165	119	the	the	DET
asir-4876	165	120	electrical	electrical	ADJ
asir-4876	165	121	characteristics	characteristic	NOUN
asir-4876	165	122	of	of	ADP
asir-4876	165	123	a	a	DET
asir-4876	165	124	metal	metal	NOUN
asir-4876	165	125	radiator	radiator	NOUN
asir-4876	165	126	located	locate	VERB
asir-4876	165	127	in	in	ADP
asir-4876	165	128	the	the	DET
asir-4876	165	129	homogeneous	homogeneous	ADJ
asir-4876	165	130	medium	medium	NOUN
asir-4876	165	131	,	,	PUNCT
asir-4876	165	132	in	in	ADP
asir-4876	165	133	particular	particular	ADJ
asir-4876	165	134	,	,	PUNCT
asir-4876	165	135	the	the	DET
asir-4876	165	136	self	self	NOUN
asir-4876	165	137	-	-	PUNCT
asir-4876	165	138	capacitance	capacitance	NOUN
asir-4876	165	139	of	of	ADP
asir-4876	165	140	a	a	DET
asir-4876	165	141	conductor	conductor	NOUN
asir-4876	165	142	per	per	ADP
asir-4876	165	143	unit	unit	NOUN
asir-4876	165	144	of	of	ADP
asir-4876	165	145	its	its	PRON
asir-4876	165	146	length	length	NOUN
asir-4876	165	147	and	and	CCONJ
asir-4876	165	148	the	the	DET
asir-4876	165	149	capacitance	capacitance	NOUN
asir-4876	165	150	between	between	ADP
asir-4876	165	151	the	the	DET
asir-4876	165	152	antenna	antenna	NOUN
asir-4876	165	153	arms	arm	NOUN
asir-4876	165	154	.	.	PUNCT
asir-4876	166	1	if	if	SCONJ
asir-4876	166	2	the	the	DET
asir-4876	166	3	medium	medium	NOUN
asir-4876	166	4	is	be	AUX
asir-4876	166	5	inhomogeneous	inhomogeneous	ADJ
asir-4876	166	6	,	,	PUNCT
asir-4876	166	7	for	for	ADP
asir-4876	166	8	example	example	NOUN
asir-4876	166	9	,	,	PUNCT
asir-4876	166	10	piecewise	piecewise	NOUN
asir-4876	166	11	homogeneous	homogeneous	ADJ
asir-4876	166	12	,	,	PUNCT
asir-4876	166	13	the	the	DET
asir-4876	166	14	problem	problem	NOUN
asir-4876	166	15	is	be	AUX
asir-4876	166	16	significantly	significantly	ADV
asir-4876	166	17	complicated	complicated	ADJ
asir-4876	166	18	.	.	PUNCT
asir-4876	167	1	such	such	DET
asir-4876	167	2	a	a	DET
asir-4876	167	3	problem	problem	NOUN
asir-4876	167	4	,	,	PUNCT
asir-4876	167	5	in	in	ADP
asir-4876	167	6	particular	particular	ADJ
asir-4876	167	7	,	,	PUNCT
asir-4876	167	8	arises	arise	VERB
asir-4876	167	9	if	if	SCONJ
asir-4876	167	10	the	the	DET
asir-4876	167	11	wire	wire	NOUN
asir-4876	167	12	is	be	AUX
asir-4876	167	13	located	locate	VERB
asir-4876	167	14	at	at	ADP
asir-4876	167	15	the	the	DET
asir-4876	167	16	boundary	boundary	NOUN
asir-4876	167	17	of	of	ADP
asir-4876	167	18	two	two	NUM
asir-4876	167	19	media	medium	NOUN
asir-4876	167	20	,	,	PUNCT
asir-4876	167	21	air	air	NOUN
asir-4876	167	22	and	and	CCONJ
asir-4876	167	23	dielectric	dielectric	NOUN
asir-4876	167	24	.	.	PUNCT
asir-4876	168	1	in	in	ADP
asir-4876	168	2	this	this	DET
asir-4876	168	3	case	case	NOUN
asir-4876	168	4	it	it	PRON
asir-4876	168	5	is	be	AUX
asir-4876	168	6	advisable	advisable	ADJ
asir-4876	168	7	to	to	PART
asir-4876	168	8	go	go	VERB
asir-4876	168	9	from	from	ADP
asir-4876	168	10	the	the	DET
asir-4876	168	11	flux	flux	NOUN
asir-4876	168	12	ψ𝐸	ψ𝐸	PROPN
asir-4876	168	13	of	of	ADP
asir-4876	168	14	the	the	DET
asir-4876	168	15	vector	vector	NOUN
asir-4876	168	16	of	of	ADP
asir-4876	168	17	electric	electric	ADJ
asir-4876	168	18	field	field	NOUN
asir-4876	168	19	�	�	PROPN
asir-4876	168	20	⃗	⃗	PROPN
asir-4876	168	21	�	�	PROPN
asir-4876	168	22	to	to	ADP
asir-4876	168	23	the	the	DET
asir-4876	168	24	flux	flux	PROPN
asir-4876	168	25	ψ𝐷	ψ𝐷	PROPN
asir-4876	168	26	of	of	ADP
asir-4876	168	27	the	the	DET
asir-4876	168	28	electric	electric	ADJ
asir-4876	168	29	displacement	displacement	ADJ
asir-4876	168	30	vector	vector	PROPN
asir-4876	168	31	�	�	PROPN
asir-4876	168	32	⃗⃗	⃗⃗	PROPN
asir-4876	168	33	�	�	PROPN
asir-4876	168	34	,	,	PUNCT
asir-4876	168	35	taking	take	VERB
asir-4876	168	36	into	into	ADP
asir-4876	168	37	account	account	NOUN
asir-4876	168	38	the	the	DET
asir-4876	168	39	different	different	ADJ
asir-4876	168	40	density	density	NOUN
asir-4876	168	41	of	of	ADP
asir-4876	168	42	this	this	DET
asir-4876	168	43	flux	flux	NOUN
asir-4876	168	44	in	in	ADP
asir-4876	168	45	different	different	ADJ
asir-4876	168	46	media	medium	NOUN
asir-4876	168	47	.	.	PUNCT
asir-4876	169	1	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	PROPN
asir-4876	169	2	applied	apply	VERB
asir-4876	169	3	science	science	NOUN
asir-4876	169	4	and	and	CCONJ
asir-4876	169	5	innovative	innovative	ADJ
asir-4876	169	6	research	research	NOUN
asir-4876	169	7	vol	vol	NOUN
asir-4876	169	8	.	.	PROPN
asir-4876	170	1	6	6	NUM
asir-4876	170	2	,	,	PUNCT
asir-4876	170	3	no	no	INTJ
asir-4876	170	4	.	.	NOUN
asir-4876	170	5	3	3	NUM
asir-4876	170	6	,	,	PUNCT
asir-4876	170	7	2022	2022	NUM
asir-4876	170	8	10	10	NUM
asir-4876	170	9	published	publish	VERB
asir-4876	170	10	by	by	ADP
asir-4876	170	11	scholink	scholink	PROPN
asir-4876	170	12	inc	inc	PROPN
asir-4876	170	13	.	.	PUNCT
asir-4876	171	1	the	the	DET
asir-4876	171	2	corresponding	corresponding	ADJ
asir-4876	171	3	generalization	generalization	NOUN
asir-4876	171	4	of	of	ADP
asir-4876	171	5	the	the	DET
asir-4876	171	6	complex	complex	ADJ
asir-4876	171	7	potential	potential	ADJ
asir-4876	171	8	method	method	NOUN
asir-4876	171	9	was	be	AUX
asir-4876	171	10	accomplished	accomplish	VERB
asir-4876	171	11	in	in	ADP
asir-4876	171	12	the	the	DET
asir-4876	171	13	article	article	NOUN
asir-4876	171	14	(	(	PUNCT
asir-4876	171	15	levin	levin	PROPN
asir-4876	171	16	,	,	PUNCT
asir-4876	171	17	1997	1997	NUM
asir-4876	171	18	)	)	PUNCT
asir-4876	171	19	.	.	PUNCT
asir-4876	172	1	in	in	ADP
asir-4876	172	2	this	this	DET
asir-4876	172	3	case	case	NOUN
asir-4876	172	4	the	the	DET
asir-4876	172	5	increment	increment	NOUN
asir-4876	172	6	of	of	ADP
asir-4876	172	7	the	the	DET
asir-4876	172	8	function	function	NOUN
asir-4876	172	9	v(z	v(z	NOUN
asir-4876	172	10	)	)	PUNCT
asir-4876	172	11	in	in	ADP
asir-4876	172	12	going	go	VERB
asir-4876	172	13	along	along	ADP
asir-4876	172	14	closed	closed	ADJ
asir-4876	172	15	contour	contour	NOUN
asir-4876	172	16	is	be	AUX
asir-4876	172	17	δ𝑉	δ𝑉	PROPN
asir-4876	172	18	=	=	SYM
asir-4876	172	19	1	1	NUM
asir-4876	172	20	𝑙	𝑙	NOUN
asir-4876	172	21	∑	∑	ADV
asir-4876	172	22	ψ𝐷𝑚	ψ𝐷𝑚	PROPN
asir-4876	172	23	𝜀𝑚⁄(𝑚	𝜀𝑚⁄(𝑚	NOUN
asir-4876	172	24	)	)	PUNCT
asir-4876	172	25	(	(	PUNCT
asir-4876	172	26	m	m	PROPN
asir-4876	172	27	is	be	AUX
asir-4876	172	28	a	a	DET
asir-4876	172	29	number	number	NOUN
asir-4876	172	30	of	of	ADP
asir-4876	172	31	a	a	DET
asir-4876	172	32	medium	medium	NOUN
asir-4876	172	33	)	)	PUNCT
asir-4876	172	34	.	.	PUNCT
asir-4876	173	1	integrating	integrate	VERB
asir-4876	173	2	with	with	ADP
asir-4876	173	3	respect	respect	NOUN
asir-4876	173	4	to	to	ADP
asir-4876	173	5	the	the	DET
asir-4876	173	6	volume	volume	NOUN
asir-4876	173	7	v	v	NUM
asir-4876	173	8	of	of	ADP
asir-4876	173	9	the	the	DET
asir-4876	173	10	conductor	conductor	NOUN
asir-4876	173	11	the	the	DET
asir-4876	173	12	left	left	ADJ
asir-4876	173	13	and	and	CCONJ
asir-4876	173	14	right	right	ADJ
asir-4876	173	15	parts	part	NOUN
asir-4876	173	16	of	of	ADP
asir-4876	173	17	the	the	DET
asir-4876	173	18	maxwell	maxwell	PROPN
asir-4876	173	19	equation	equation	PROPN
asir-4876	173	20	𝑑𝑖𝑣	𝑑𝑖𝑣	PROPN
asir-4876	173	21	�	�	PROPN
asir-4876	173	22	⃗⃗	⃗⃗	PROPN
asir-4876	173	23	�	�	PROPN
asir-4876	173	24	=	=	SYM
asir-4876	173	25	𝜌𝑣	𝜌𝑣	PROPN
asir-4876	173	26	(	(	PUNCT
asir-4876	173	27	𝜌𝑣	𝜌𝑣	PROPN
asir-4876	173	28	is	be	AUX
asir-4876	173	29	the	the	DET
asir-4876	173	30	charge	charge	NOUN
asir-4876	173	31	density	density	NOUN
asir-4876	173	32	on	on	ADP
asir-4876	173	33	the	the	DET
asir-4876	173	34	conductor	conductor	NOUN
asir-4876	173	35	):	):	PUNCT
asir-4876	173	36	∫	∫	PROPN
asir-4876	173	37	𝑑𝑖𝑣	𝑑𝑖𝑣	PROPN
asir-4876	173	38	�	�	PROPN
asir-4876	173	39	⃗⃗	⃗⃗	PROPN
asir-4876	173	40	�	�	PROPN
asir-4876	174	1	𝑑𝑣	𝑑𝑣	ADP
asir-4876	174	2	=	=	PUNCT
asir-4876	174	3	∑	∑	PROPN
asir-4876	174	4	∮	∮	NUM
asir-4876	174	5	�	�	NOUN
asir-4876	174	6	⃗⃗	⃗⃗	PROPN
asir-4876	174	7	�	�	PROPN
asir-4876	174	8	𝑆𝑚	𝑆𝑚	PROPN
asir-4876	174	9	(	(	PUNCT
asir-4876	174	10	𝑚)𝑣	𝑚)𝑣	PUNCT
asir-4876	174	11	𝑑𝑆	𝑑𝑆	ADJ
asir-4876	174	12	,	,	PUNCT
asir-4876	174	13	∫	∫	PROPN
asir-4876	174	14	𝜌𝑣𝑣	𝜌𝑣𝑣	CCONJ
asir-4876	174	15	𝑑𝑣	𝑑𝑣	PROPN
asir-4876	174	16	=	=	PUNCT
asir-4876	174	17	∑	∑	PROPN
asir-4876	174	18	∫	∫	PROPN
asir-4876	174	19	𝜎𝑚𝑑𝑆	𝜎𝑚𝑑𝑆	PROPN
asir-4876	174	20	𝑆𝑚	𝑆𝑚	PROPN
asir-4876	174	21	𝑚	𝑚	X
asir-4876	174	22	(	(	PUNCT
asir-4876	174	23	here	here	ADV
asir-4876	174	24	s	s	VERB
asir-4876	174	25	is	be	AUX
asir-4876	174	26	the	the	DET
asir-4876	174	27	conductor	conductor	NOUN
asir-4876	174	28	surface	surface	NOUN
asir-4876	174	29	,	,	PUNCT
asir-4876	174	30	𝑆𝑚	𝑆𝑚	PROPN
asir-4876	174	31	is	be	AUX
asir-4876	174	32	the	the	DET
asir-4876	174	33	part	part	NOUN
asir-4876	174	34	of	of	ADP
asir-4876	174	35	this	this	DET
asir-4876	174	36	surface	surface	NOUN
asir-4876	174	37	located	locate	VERB
asir-4876	174	38	beside	beside	ADP
asir-4876	174	39	to	to	ADP
asir-4876	174	40	the	the	DET
asir-4876	174	41	medium	medium	NOUN
asir-4876	174	42	m	m	PROPN
asir-4876	174	43	,	,	PUNCT
asir-4876	174	44	𝜎𝑚	𝜎𝑚	X
asir-4876	174	45	is	be	AUX
asir-4876	174	46	the	the	DET
asir-4876	174	47	charge	charge	NOUN
asir-4876	174	48	density	density	NOUN
asir-4876	174	49	of	of	ADP
asir-4876	174	50	this	this	DET
asir-4876	174	51	surface	surface	NOUN
asir-4876	174	52	part	part	NOUN
asir-4876	174	53	)	)	PUNCT
asir-4876	174	54	and	and	CCONJ
asir-4876	174	55	equating	equate	VERB
asir-4876	174	56	these	these	DET
asir-4876	174	57	results	result	NOUN
asir-4876	174	58	,	,	PUNCT
asir-4876	174	59	we	we	PRON
asir-4876	174	60	find	find	VERB
asir-4876	174	61	that	that	SCONJ
asir-4876	174	62	∑	∑	PUNCT
asir-4876	174	63	ψ𝐷𝑚	ψ𝐷𝑚	ADJ
asir-4876	174	64	=	=	SYM
asir-4876	174	65	∑	∑	PUNCT
asir-4876	174	66	𝑞𝑚,(𝑚)(𝑚	𝑞𝑚,(𝑚)(𝑚	NUM
asir-4876	174	67	)	)	PUNCT
asir-4876	174	68	i.e.	i.e.	X
asir-4876	174	69	,	,	PUNCT
asir-4876	174	70	the	the	DET
asir-4876	174	71	flux	flux	NOUN
asir-4876	174	72	ψ𝐷𝑚	ψ𝐷𝑚	NOUN
asir-4876	174	73	of	of	ADP
asir-4876	174	74	the	the	DET
asir-4876	174	75	displacement	displacement	ADJ
asir-4876	174	76	vector	vector	NOUN
asir-4876	174	77	through	through	ADP
asir-4876	174	78	the	the	DET
asir-4876	174	79	conductor	conductor	NOUN
asir-4876	174	80	surface	surface	NOUN
asir-4876	174	81	to	to	ADP
asir-4876	174	82	medium	medium	NOUN
asir-4876	174	83	m	m	NOUN
asir-4876	174	84	is	be	AUX
asir-4876	174	85	equal	equal	ADJ
asir-4876	174	86	to	to	ADP
asir-4876	174	87	the	the	DET
asir-4876	174	88	charge	charge	NOUN
asir-4876	174	89	𝑞𝑚	𝑞𝑚	NOUN
asir-4876	174	90	of	of	ADP
asir-4876	174	91	the	the	DET
asir-4876	174	92	surface	surface	NOUN
asir-4876	174	93	part	part	NOUN
asir-4876	174	94	located	locate	VERB
asir-4876	174	95	beside	beside	ADV
asir-4876	174	96	to	to	ADP
asir-4876	174	97	this	this	DET
asir-4876	174	98	medium	medium	NOUN
asir-4876	174	99	.	.	PUNCT
asir-4876	175	1	respectively	respectively	ADV
asir-4876	175	2	δ𝑉	δ𝑉	PROPN
asir-4876	175	3	=	=	SYM
asir-4876	175	4	1	1	NUM
asir-4876	175	5	𝑙	𝑙	NUM
asir-4876	175	6	∑	∑	ADP
asir-4876	175	7	𝑞𝑚	𝑞𝑚	VERB
asir-4876	175	8	𝜀𝑚⁄	𝜀𝑚⁄	PROPN
asir-4876	175	9	.(𝑚	.(𝑚	PUNCT
asir-4876	175	10	)	)	PUNCT
asir-4876	175	11	(	(	PUNCT
asir-4876	175	12	7	7	X
asir-4876	175	13	)	)	PUNCT
asir-4876	175	14	let	let	VERB
asir-4876	175	15	’s	’s	PRON
asir-4876	175	16	introduce	introduce	VERB
asir-4876	175	17	the	the	DET
asir-4876	175	18	magnitude	magnitude	NOUN
asir-4876	175	19	𝜀𝑒	𝜀𝑒	NOUN
asir-4876	175	20	,	,	PUNCT
asir-4876	175	21	satisfying	satisfy	VERB
asir-4876	175	22	the	the	DET
asir-4876	175	23	equality	equality	NOUN
asir-4876	175	24	∑	∑	ADP
asir-4876	175	25	𝑞𝑚	𝑞𝑚	VERB
asir-4876	175	26	𝜀𝑚⁄	𝜀𝑚⁄	NOUN
asir-4876	175	27	=	=	PUNCT
asir-4876	175	28	𝑞	𝑞	X
asir-4876	175	29	𝜀𝑒	𝜀𝑒	X
asir-4876	175	30	,	,	PUNCT
asir-4876	175	31	⁄(𝑚	⁄(𝑚	PROPN
asir-4876	175	32	)	)	PUNCT
asir-4876	175	33	where	where	SCONJ
asir-4876	175	34	q	q	NOUN
asir-4876	175	35	is	be	AUX
asir-4876	175	36	the	the	DET
asir-4876	175	37	total	total	ADJ
asir-4876	175	38	charge	charge	NOUN
asir-4876	175	39	of	of	ADP
asir-4876	175	40	the	the	DET
asir-4876	175	41	conductor	conductor	NOUN
asir-4876	175	42	.	.	PUNCT
asir-4876	176	1	it	it	PRON
asir-4876	176	2	can	can	AUX
asir-4876	176	3	be	be	AUX
asir-4876	176	4	seen	see	VERB
asir-4876	176	5	that	that	SCONJ
asir-4876	176	6	this	this	DET
asir-4876	176	7	magnitude	magnitude	NOUN
asir-4876	176	8	has	have	VERB
asir-4876	176	9	the	the	DET
asir-4876	176	10	meaning	meaning	NOUN
asir-4876	176	11	of	of	ADP
asir-4876	176	12	the	the	DET
asir-4876	176	13	equivalent	equivalent	ADJ
asir-4876	176	14	permittivity	permittivity	NOUN
asir-4876	176	15	of	of	ADP
asir-4876	176	16	an	an	DET
asir-4876	176	17	inhomogeneous	inhomogeneous	ADJ
asir-4876	176	18	medium	medium	NOUN
asir-4876	176	19	.	.	PUNCT
asir-4876	177	1	if	if	SCONJ
asir-4876	177	2	δ𝜑𝑚	δ𝜑𝑚	NOUN
asir-4876	177	3	is	be	AUX
asir-4876	177	4	the	the	DET
asir-4876	177	5	circumference	circumference	NOUN
asir-4876	177	6	arc	arc	NOUN
asir-4876	177	7	beside	beside	ADP
asir-4876	177	8	to	to	ADP
asir-4876	177	9	medium	medium	NOUN
asir-4876	177	10	m	m	PROPN
asir-4876	177	11	,	,	PUNCT
asir-4876	177	12	and	and	CCONJ
asir-4876	177	13	∑	∑	ADP
asir-4876	177	14	𝑞𝑚	𝑞𝑚	NOUN
asir-4876	177	15	=	=	SYM
asir-4876	177	16	𝑞,(𝑚	𝑞,(𝑚	PROPN
asir-4876	177	17	)	)	PUNCT
asir-4876	177	18	then	then	ADV
asir-4876	177	19	it	it	PRON
asir-4876	177	20	is	be	AUX
asir-4876	177	21	easy	easy	ADJ
asir-4876	177	22	to	to	PART
asir-4876	177	23	show	show	VERB
asir-4876	177	24	that	that	DET
asir-4876	177	25	𝜀е	𝜀е	NOUN
asir-4876	177	26	=	=	SYM
asir-4876	177	27	1	1	NUM
asir-4876	177	28	2𝜋	2𝜋	NUM
asir-4876	177	29	∑	∑	PUNCT
asir-4876	177	30	𝜀𝑚δ𝜑𝑚(𝑚	𝜀𝑚δ𝜑𝑚(𝑚	PROPN
asir-4876	177	31	)	)	PUNCT
asir-4876	177	32	.	.	PUNCT
asir-4876	178	1	(	(	PUNCT
asir-4876	178	2	8)	8)	NUM
asir-4876	178	3	if	if	SCONJ
asir-4876	178	4	n	n	NOUN
asir-4876	178	5	media	medium	NOUN
asir-4876	178	6	with	with	ADP
asir-4876	178	7	the	the	DET
asir-4876	178	8	same	same	ADJ
asir-4876	178	9	angular	angular	ADJ
asir-4876	178	10	width	width	NOUN
asir-4876	178	11	are	be	AUX
asir-4876	178	12	located	locate	VERB
asir-4876	178	13	beside	beside	ADV
asir-4876	178	14	to	to	ADP
asir-4876	178	15	the	the	DET
asir-4876	178	16	wire	wire	NOUN
asir-4876	178	17	,	,	PUNCT
asir-4876	178	18	then	then	ADV
asir-4876	178	19	𝜀е	𝜀е	VERB
asir-4876	178	20	=	=	SYM
asir-4876	178	21	1	1	NUM
asir-4876	178	22	𝑁	𝑁	PROPN
asir-4876	178	23	∑	∑	PUNCT
asir-4876	178	24	𝜀𝑚.𝑁	𝜀𝑚.𝑁	PROPN
asir-4876	178	25	𝑚=1	𝑚=1	PUNCT
asir-4876	178	26	it	it	PRON
asir-4876	178	27	is	be	AUX
asir-4876	178	28	important	important	ADJ
asir-4876	178	29	to	to	PART
asir-4876	178	30	mark	mark	VERB
asir-4876	178	31	that	that	SCONJ
asir-4876	178	32	in	in	ADP
asir-4876	178	33	plane	plane	NOUN
asir-4876	178	34	-	-	PUNCT
asir-4876	178	35	parallel	parallel	ADJ
asir-4876	178	36	field	field	NOUN
asir-4876	178	37	the	the	DET
asir-4876	178	38	potential	potential	NOUN
asir-4876	178	39	on	on	ADP
asir-4876	178	40	the	the	DET
asir-4876	178	41	surface	surface	NOUN
asir-4876	178	42	of	of	ADP
asir-4876	178	43	each	each	DET
asir-4876	178	44	antenna	antenna	NOUN
asir-4876	178	45	wire	wire	NOUN
asir-4876	178	46	(	(	PUNCT
asir-4876	178	47	for	for	ADP
asir-4876	178	48	example	example	NOUN
asir-4876	178	49	,	,	PUNCT
asir-4876	178	50	on	on	ADP
asir-4876	178	51	each	each	DET
asir-4876	178	52	dipole	dipole	NOUN
asir-4876	178	53	arm	arm	NOUN
asir-4876	178	54	)	)	PUNCT
asir-4876	178	55	is	be	AUX
asir-4876	178	56	constant	constant	ADJ
asir-4876	178	57	.	.	PUNCT
asir-4876	179	1	the	the	DET
asir-4876	179	2	potential	potential	NOUN
asir-4876	179	3	at	at	ADP
asir-4876	179	4	an	an	DET
asir-4876	179	5	infinitely	infinitely	ADV
asir-4876	179	6	distant	distant	ADJ
asir-4876	179	7	point	point	NOUN
asir-4876	179	8	is	be	AUX
asir-4876	179	9	not	not	PART
asir-4876	179	10	equal	equal	ADJ
asir-4876	179	11	to	to	ADP
asir-4876	179	12	zero	zero	NUM
asir-4876	179	13	,	,	PUNCT
asir-4876	179	14	otherwise	otherwise	ADV
asir-4876	179	15	at	at	ADP
asir-4876	179	16	finite	finite	ADJ
asir-4876	179	17	distances	distance	NOUN
asir-4876	179	18	from	from	ADP
asir-4876	179	19	the	the	DET
asir-4876	179	20	radiator	radiator	NOUN
asir-4876	179	21	it	it	PRON
asir-4876	179	22	will	will	AUX
asir-4876	179	23	turn	turn	VERB
asir-4876	179	24	out	out	ADP
asir-4876	179	25	to	to	PART
asir-4876	179	26	be	be	AUX
asir-4876	179	27	infinitely	infinitely	ADV
asir-4876	179	28	large	large	ADJ
asir-4876	179	29	.	.	PUNCT
asir-4876	180	1	at	at	ADP
asir-4876	180	2	the	the	DET
asir-4876	180	3	same	same	ADJ
asir-4876	180	4	time	time	NOUN
asir-4876	180	5	,	,	PUNCT
asir-4876	180	6	it	it	PRON
asir-4876	180	7	is	be	AUX
asir-4876	180	8	obvious	obvious	ADJ
asir-4876	180	9	that	that	SCONJ
asir-4876	180	10	when	when	SCONJ
asir-4876	180	11	moving	move	VERB
asir-4876	180	12	in	in	ADP
asir-4876	180	13	the	the	DET
asir-4876	180	14	plane	plane	NOUN
asir-4876	180	15	𝑧	𝑧	NOUN
asir-4876	180	16	=	=	NOUN
asir-4876	180	17	𝑐onst	𝑐onst	NOUN
asir-4876	180	18	away	away	ADV
asir-4876	180	19	from	from	ADP
asir-4876	180	20	the	the	DET
asir-4876	180	21	antenna	antenna	NOUN
asir-4876	180	22	axis	axis	NOUN
asir-4876	180	23	,	,	PUNCT
asir-4876	180	24	the	the	DET
asir-4876	180	25	potential	potential	NOUN
asir-4876	180	26	is	be	AUX
asir-4876	180	27	the	the	DET
asir-4876	180	28	same	same	ADJ
asir-4876	180	29	in	in	ADP
asir-4876	180	30	all	all	DET
asir-4876	180	31	directions	direction	NOUN
asir-4876	180	32	.	.	PUNCT
asir-4876	181	1	therefore	therefore	ADV
asir-4876	181	2	,	,	PUNCT
asir-4876	181	3	it	it	PRON
asir-4876	181	4	should	should	AUX
asir-4876	181	5	be	be	AUX
asir-4876	181	6	assumed	assume	VERB
asir-4876	181	7	that	that	SCONJ
asir-4876	181	8	lines	line	NOUN
asir-4876	181	9	of	of	ADP
asir-4876	181	10	equal	equal	ADJ
asir-4876	181	11	potential	potential	NOUN
asir-4876	181	12	are	be	AUX
asir-4876	181	13	circumferences	circumference	NOUN
asir-4876	181	14	with	with	ADP
asir-4876	181	15	centers	center	NOUN
asir-4876	181	16	at	at	ADP
asir-4876	181	17	the	the	DET
asir-4876	181	18	origin	origin	NOUN
asir-4876	181	19	,	,	PUNCT
asir-4876	181	20	and	and	CCONJ
asir-4876	181	21	surfaces	surface	NOUN
asir-4876	181	22	of	of	ADP
asir-4876	181	23	equal	equal	ADJ
asir-4876	181	24	potential	potential	NOUN
asir-4876	181	25	are	be	AUX
asir-4876	181	26	circular	circular	ADJ
asir-4876	181	27	cylinder	cylinder	NOUN
asir-4876	181	28	.	.	PUNCT
asir-4876	182	1	as	as	SCONJ
asir-4876	182	2	it	it	PRON
asir-4876	182	3	follows	follow	VERB
asir-4876	182	4	from	from	ADP
asir-4876	182	5	expression	expression	NOUN
asir-4876	182	6	(	(	PUNCT
asir-4876	182	7	7	7	NUM
asir-4876	182	8	)	)	PUNCT
asir-4876	182	9	,	,	PUNCT
asir-4876	182	10	in	in	ADP
asir-4876	182	11	the	the	DET
asir-4876	182	12	case	case	NOUN
asir-4876	182	13	of	of	ADP
asir-4876	182	14	a	a	DET
asir-4876	182	15	homogeneous	homogeneous	ADJ
asir-4876	182	16	medium	medium	NOUN
asir-4876	182	17	,	,	PUNCT
asir-4876	182	18	the	the	DET
asir-4876	182	19	magnitude	magnitude	NOUN
asir-4876	182	20	of	of	ADP
asir-4876	182	21	the	the	DET
asir-4876	182	22	electric	electric	ADJ
asir-4876	182	23	field	field	NOUN
asir-4876	182	24	flux	flux	NOUN
asir-4876	182	25	between	between	ADP
asir-4876	182	26	two	two	NUM
asir-4876	182	27	wires	wire	NOUN
asir-4876	182	28	depends	depend	VERB
asir-4876	182	29	on	on	ADP
asir-4876	182	30	the	the	DET
asir-4876	182	31	angle	angle	NOUN
asir-4876	182	32	φ	φ	PROPN
asir-4876	182	33	between	between	ADP
asir-4876	182	34	the	the	DET
asir-4876	182	35	lines	line	NOUN
asir-4876	182	36	of	of	ADP
asir-4876	182	37	equal	equal	ADJ
asir-4876	182	38	potential	potential	ADJ
asir-4876	182	39	passing	pass	VERB
asir-4876	182	40	through	through	ADP
asir-4876	182	41	the	the	DET
asir-4876	182	42	axes	axis	NOUN
asir-4876	182	43	of	of	ADP
asir-4876	182	44	the	the	DET
asir-4876	182	45	wires	wire	NOUN
asir-4876	182	46	.	.	PUNCT
asir-4876	183	1	as	as	SCONJ
asir-4876	183	2	shown	show	VERB
asir-4876	183	3	in	in	ADP
asir-4876	183	4	figure	figure	NOUN
asir-4876	183	5	5a	5a	NUM
asir-4876	183	6	,	,	PUNCT
asir-4876	183	7	in	in	ADP
asir-4876	183	8	the	the	DET
asir-4876	183	9	case	case	NOUN
asir-4876	183	10	of	of	ADP
asir-4876	183	11	a	a	DET
asir-4876	183	12	symmetrical	symmetrical	ADJ
asir-4876	183	13	two	two	NUM
asir-4876	183	14	-	-	PUNCT
asir-4876	183	15	wire	wire	NOUN
asir-4876	183	16	long	long	ADJ
asir-4876	183	17	line	line	NOUN
asir-4876	183	18	located	locate	VERB
asir-4876	183	19	in	in	ADP
asir-4876	183	20	free	free	ADJ
asir-4876	183	21	space	space	NOUN
asir-4876	183	22	,	,	PUNCT
asir-4876	183	23	the	the	DET
asir-4876	183	24	lines	line	NOUN
asir-4876	183	25	1	1	NUM
asir-4876	183	26	of	of	ADP
asir-4876	183	27	equal	equal	ADJ
asir-4876	183	28	potential	potential	NOUN
asir-4876	183	29	are	be	AUX
asir-4876	183	30	arcs	arc	NOUN
asir-4876	183	31	of	of	ADP
asir-4876	183	32	a	a	DET
asir-4876	183	33	circumference	circumference	NOUN
asir-4876	183	34	,	,	PUNCT
asir-4876	183	35	and	and	CCONJ
asir-4876	183	36	the	the	DET
asir-4876	183	37	angle	angle	NOUN
asir-4876	183	38	between	between	ADP
asir-4876	183	39	them	they	PRON
asir-4876	183	40	near	near	ADP
asir-4876	183	41	each	each	DET
asir-4876	183	42	wire	wire	NOUN
asir-4876	183	43	2	2	NUM
asir-4876	183	44	is	be	AUX
asir-4876	183	45	close	close	ADJ
asir-4876	183	46	to	to	PART
asir-4876	183	47	𝜋.	𝜋.	VERB
asir-4876	183	48	this	this	DET
asir-4876	183	49	means	mean	VERB
asir-4876	183	50	that	that	SCONJ
asir-4876	183	51	half	half	NOUN
asir-4876	183	52	of	of	ADP
asir-4876	183	53	the	the	DET
asir-4876	183	54	field	field	NOUN
asir-4876	183	55	flux	flux	NOUN
asir-4876	183	56	passes	pass	VERB
asir-4876	183	57	through	through	ADP
asir-4876	183	58	the	the	DET
asir-4876	183	59	volume	volume	NOUN
asir-4876	183	60	bounded	bound	VERB
asir-4876	183	61	by	by	ADP
asir-4876	183	62	the	the	DET
asir-4876	183	63	dotted	dotted	ADJ
asir-4876	183	64	line	line	NOUN
asir-4876	183	65	.	.	PUNCT
asir-4876	184	1	half	half	NOUN
asir-4876	184	2	of	of	ADP
asir-4876	184	3	the	the	DET
asir-4876	184	4	energy	energy	NOUN
asir-4876	184	5	between	between	ADP
asir-4876	184	6	the	the	DET
asir-4876	184	7	wires	wire	NOUN
asir-4876	184	8	of	of	ADP
asir-4876	184	9	the	the	DET
asir-4876	184	10	long	long	ADJ
asir-4876	184	11	line	line	NOUN
asir-4876	184	12	passes	pass	VERB
asir-4876	184	13	through	through	ADP
asir-4876	184	14	the	the	DET
asir-4876	184	15	same	same	ADJ
asir-4876	184	16	volume	volume	NOUN
asir-4876	184	17	.	.	PUNCT
asir-4876	185	1	in	in	ADP
asir-4876	185	2	the	the	DET
asir-4876	185	3	case	case	NOUN
asir-4876	185	4	of	of	ADP
asir-4876	185	5	a	a	DET
asir-4876	185	6	single	single	ADJ
asir-4876	185	7	-	-	PUNCT
asir-4876	185	8	wire	wire	NOUN
asir-4876	185	9	long	long	ADJ
asir-4876	185	10	line	line	NOUN
asir-4876	185	11	located	locate	VERB
asir-4876	185	12	above	above	ADP
asir-4876	185	13	a	a	DET
asir-4876	185	14	perfectly	perfectly	ADV
asir-4876	185	15	conducting	conduct	VERB
asir-4876	185	16	ground	ground	NOUN
asir-4876	185	17	3	3	NUM
asir-4876	185	18	,	,	PUNCT
asir-4876	185	19	contrary	contrary	ADJ
asir-4876	185	20	to	to	ADP
asir-4876	185	21	popular	popular	ADJ
asir-4876	185	22	opinion	opinion	NOUN
asir-4876	185	23	,	,	PUNCT
asir-4876	185	24	only	only	ADV
asir-4876	185	25	half	half	NOUN
asir-4876	185	26	of	of	ADP
asir-4876	185	27	the	the	DET
asir-4876	185	28	energy	energy	NOUN
asir-4876	185	29	passes	pass	VERB
asir-4876	185	30	through	through	ADP
asir-4876	185	31	the	the	DET
asir-4876	185	32	space	space	NOUN
asir-4876	185	33	bounded	bound	VERB
asir-4876	185	34	by	by	ADP
asir-4876	185	35	a	a	DET
asir-4876	185	36	semicircle	semicircle	NOUN
asir-4876	185	37	.	.	PUNCT
asir-4876	186	1	the	the	DET
asir-4876	186	2	second	second	ADJ
asir-4876	186	3	half	half	NOUN
asir-4876	186	4	passes	pass	VERB
asir-4876	186	5	through	through	ADP
asir-4876	186	6	the	the	DET
asir-4876	186	7	surrounding	surround	VERB
asir-4876	186	8	space	space	NOUN
asir-4876	186	9	.	.	PUNCT
asir-4876	187	1	these	these	DET
asir-4876	187	2	simple	simple	ADJ
asir-4876	187	3	facts	fact	NOUN
asir-4876	187	4	are	be	AUX
asir-4876	187	5	given	give	VERB
asir-4876	187	6	in	in	ADP
asir-4876	187	7	(	(	PUNCT
asir-4876	187	8	levin	levin	PROPN
asir-4876	187	9	,	,	PUNCT
asir-4876	187	10	2021	2021	NUM
asir-4876	187	11	)	)	PUNCT
asir-4876	187	12	.	.	PUNCT
asir-4876	188	1	if	if	SCONJ
asir-4876	188	2	the	the	DET
asir-4876	188	3	wire	wire	NOUN
asir-4876	188	4	is	be	AUX
asir-4876	188	5	located	locate	VERB
asir-4876	188	6	at	at	ADP
asir-4876	188	7	the	the	DET
asir-4876	188	8	boundary	boundary	NOUN
asir-4876	188	9	of	of	ADP
asir-4876	188	10	two	two	NUM
asir-4876	188	11	media	medium	NOUN
asir-4876	188	12	with	with	ADP
asir-4876	188	13	the	the	DET
asir-4876	188	14	same	same	ADJ
asir-4876	188	15	form	form	NOUN
asir-4876	188	16	and	and	CCONJ
asir-4876	188	17	volume	volume	NOUN
asir-4876	188	18	(	(	PUNCT
asir-4876	188	19	figure	figure	NOUN
asir-4876	188	20	5c	5c	NUM
asir-4876	188	21	)	)	PUNCT
asir-4876	188	22	,	,	PUNCT
asir-4876	188	23	then	then	ADV
asir-4876	188	24	half	half	NOUN
asir-4876	188	25	of	of	ADP
asir-4876	188	26	the	the	DET
asir-4876	188	27	energy	energy	NOUN
asir-4876	188	28	passes	pass	VERB
asir-4876	188	29	through	through	ADP
asir-4876	188	30	each	each	DET
asir-4876	188	31	medium	medium	NOUN
asir-4876	188	32	,	,	PUNCT
asir-4876	188	33	δ𝜑1	δ𝜑1	NOUN
asir-4876	188	34	=	=	SYM
asir-4876	188	35	δ𝜑2	δ𝜑2	PROPN
asir-4876	188	36	=	=	SYM
asir-4876	188	37	𝜋	𝜋	NOUN
asir-4876	188	38	,	,	PUNCT
asir-4876	188	39	and	and	CCONJ
asir-4876	188	40	as	as	SCONJ
asir-4876	188	41	can	can	AUX
asir-4876	188	42	be	be	AUX
asir-4876	188	43	seen	see	VERB
asir-4876	188	44	from	from	ADP
asir-4876	188	45	(	(	PUNCT
asir-4876	188	46	8)	8)	NUM
asir-4876	188	47	,	,	PUNCT
asir-4876	188	48	𝜀е	𝜀е	NOUN
asir-4876	188	49	=	=	SYM
asir-4876	188	50	0.5(𝜀0	0.5(𝜀0	NOUN
asir-4876	188	51	+	+	NUM
asir-4876	188	52	𝜀1	𝜀1	PROPN
asir-4876	188	53	)	)	PUNCT
asir-4876	188	54	.	.	PUNCT
asir-4876	189	1	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	PROPN
asir-4876	189	2	applied	apply	VERB
asir-4876	189	3	science	science	NOUN
asir-4876	189	4	and	and	CCONJ
asir-4876	189	5	innovative	innovative	ADJ
asir-4876	189	6	research	research	NOUN
asir-4876	189	7	vol	vol	NOUN
asir-4876	189	8	.	.	PROPN
asir-4876	190	1	6	6	NUM
asir-4876	190	2	,	,	PUNCT
asir-4876	190	3	no	no	INTJ
asir-4876	190	4	.	.	NOUN
asir-4876	190	5	3	3	NUM
asir-4876	190	6	,	,	PUNCT
asir-4876	190	7	2022	2022	NUM
asir-4876	190	8	11	11	NUM
asir-4876	190	9	published	publish	VERB
asir-4876	190	10	by	by	ADP
asir-4876	190	11	scholink	scholink	PROPN
asir-4876	190	12	inc	inc	PROPN
asir-4876	190	13	.	.	PROPN
asir-4876	190	14	figure	figure	NOUN
asir-4876	190	15	5	5	NUM
asir-4876	190	16	.	.	PUNCT
asir-4876	191	1	cross	cros	NOUN
asir-4876	191	2	-	-	NOUN
asir-4876	191	3	sections	section	NOUN
asir-4876	191	4	of	of	ADP
asir-4876	191	5	two	two	NUM
asir-4876	191	6	-	-	PUNCT
asir-4876	191	7	wire	wire	NOUN
asir-4876	191	8	(	(	PUNCT
asir-4876	191	9	a	a	NOUN
asir-4876	191	10	)	)	PUNCT
asir-4876	191	11	and	and	CCONJ
asir-4876	191	12	single	single	ADJ
asir-4876	191	13	-	-	PUNCT
asir-4876	191	14	wire	wire	NOUN
asir-4876	191	15	(	(	PUNCT
asir-4876	191	16	b	b	NOUN
asir-4876	191	17	)	)	PUNCT
asir-4876	191	18	long	long	ADJ
asir-4876	191	19	lines	line	NOUN
asir-4876	191	20	and	and	CCONJ
asir-4876	191	21	a	a	DET
asir-4876	191	22	wire	wire	NOUN
asir-4876	191	23	between	between	ADP
asir-4876	191	24	two	two	NUM
asir-4876	191	25	media	medium	NOUN
asir-4876	191	26	(	(	PUNCT
asir-4876	191	27	c	c	NOUN
asir-4876	191	28	)	)	PUNCT
asir-4876	191	29	in	in	ADP
asir-4876	191	30	the	the	DET
asir-4876	191	31	case	case	NOUN
asir-4876	191	32	of	of	ADP
asir-4876	191	33	a	a	DET
asir-4876	191	34	microstrip	microstrip	NOUN
asir-4876	191	35	antenna	antenna	NOUN
asir-4876	191	36	,	,	PUNCT
asir-4876	191	37	an	an	DET
asir-4876	191	38	approximate	approximate	ADJ
asir-4876	191	39	equivalent	equivalent	NOUN
asir-4876	191	40	of	of	ADP
asir-4876	191	41	its	its	PRON
asir-4876	191	42	simpler	simple	ADJ
asir-4876	191	43	version	version	NOUN
asir-4876	191	44	(	(	PUNCT
asir-4876	191	45	monopole	monopole	NOUN
asir-4876	191	46	)	)	PUNCT
asir-4876	191	47	is	be	AUX
asir-4876	191	48	shown	show	VERB
asir-4876	191	49	in	in	ADP
asir-4876	191	50	figure	figure	NOUN
asir-4876	191	51	4	4	NUM
asir-4876	191	52	.	.	PUNCT
asir-4876	192	1	in	in	ADP
asir-4876	192	2	this	this	DET
asir-4876	192	3	case	case	NOUN
asir-4876	192	4	,	,	PUNCT
asir-4876	192	5	the	the	DET
asir-4876	192	6	field	field	NOUN
asir-4876	192	7	structure	structure	NOUN
asir-4876	192	8	is	be	AUX
asir-4876	192	9	plane	plane	NOUN
asir-4876	192	10	-	-	PUNCT
asir-4876	192	11	parallel	parallel	NOUN
asir-4876	192	12	,	,	PUNCT
asir-4876	192	13	since	since	SCONJ
asir-4876	192	14	it	it	PRON
asir-4876	192	15	is	be	AUX
asir-4876	192	16	formed	form	VERB
asir-4876	192	17	by	by	ADP
asir-4876	192	18	two	two	NUM
asir-4876	192	19	parallel	parallel	ADJ
asir-4876	192	20	horizontal	horizontal	ADJ
asir-4876	192	21	surfaces	surface	NOUN
asir-4876	192	22	of	of	ADP
asir-4876	192	23	zero	zero	NUM
asir-4876	192	24	potential	potential	NOUN
asir-4876	192	25	.	.	PUNCT
asir-4876	193	1	as	as	SCONJ
asir-4876	193	2	can	can	AUX
asir-4876	193	3	be	be	AUX
asir-4876	193	4	seen	see	VERB
asir-4876	193	5	from	from	ADP
asir-4876	193	6	the	the	DET
asir-4876	193	7	figure	figure	NOUN
asir-4876	193	8	,	,	PUNCT
asir-4876	193	9	the	the	DET
asir-4876	193	10	flux	flux	NOUN
asir-4876	193	11	of	of	ADP
asir-4876	193	12	the	the	DET
asir-4876	193	13	electric	electric	ADJ
asir-4876	193	14	displacement	displacement	NOUN
asir-4876	193	15	is	be	AUX
asir-4876	193	16	divided	divide	VERB
asir-4876	193	17	into	into	ADP
asir-4876	193	18	two	two	NUM
asir-4876	193	19	parts	part	NOUN
asir-4876	193	20	by	by	ADP
asir-4876	193	21	a	a	DET
asir-4876	193	22	horizontal	horizontal	ADJ
asir-4876	193	23	line	line	NOUN
asir-4876	193	24	coinciding	coincide	VERB
asir-4876	193	25	with	with	ADP
asir-4876	193	26	the	the	DET
asir-4876	193	27	axis	axis	NOUN
asir-4876	193	28	of	of	ADP
asir-4876	193	29	the	the	DET
asir-4876	193	30	antenna	antenna	NOUN
asir-4876	193	31	metal	metal	NOUN
asir-4876	193	32	strip	strip	NOUN
asir-4876	193	33	.	.	PUNCT
asir-4876	194	1	this	this	PRON
asir-4876	194	2	means	mean	VERB
asir-4876	194	3	that	that	SCONJ
asir-4876	194	4	in	in	ADP
asir-4876	194	5	this	this	DET
asir-4876	194	6	case	case	NOUN
asir-4876	194	7	,	,	PUNCT
asir-4876	194	8	as	as	ADP
asir-4876	194	9	in	in	ADP
asir-4876	194	10	the	the	DET
asir-4876	194	11	case	case	NOUN
asir-4876	194	12	of	of	ADP
asir-4876	194	13	figure	figure	NOUN
asir-4876	194	14	5c	5c	NOUN
asir-4876	194	15	,	,	PUNCT
asir-4876	194	16	δ𝜑1	δ𝜑1	NOUN
asir-4876	194	17	=	=	SYM
asir-4876	194	18	δ𝜑2	δ𝜑2	PROPN
asir-4876	194	19	=	=	SYM
asir-4876	194	20	𝜋	𝜋	NOUN
asir-4876	194	21	,	,	PUNCT
asir-4876	194	22	i.e.	i.e.	X
asir-4876	194	23	,	,	PUNCT
asir-4876	194	24	the	the	DET
asir-4876	194	25	fluxes	flux	NOUN
asir-4876	194	26	through	through	ADP
asir-4876	194	27	the	the	DET
asir-4876	194	28	air	air	NOUN
asir-4876	194	29	and	and	CCONJ
asir-4876	194	30	the	the	DET
asir-4876	194	31	substrate	substrate	NOUN
asir-4876	194	32	are	be	AUX
asir-4876	194	33	the	the	DET
asir-4876	194	34	same	same	ADJ
asir-4876	194	35	and	and	CCONJ
asir-4876	194	36	the	the	DET
asir-4876	194	37	equivalent	equivalent	ADJ
asir-4876	194	38	permittivity	permittivity	NOUN
asir-4876	194	39	𝜀𝑒	𝜀𝑒	NOUN
asir-4876	194	40	of	of	ADP
asir-4876	194	41	the	the	DET
asir-4876	194	42	medium	medium	NOUN
asir-4876	194	43	surrounding	surround	VERB
asir-4876	194	44	the	the	DET
asir-4876	194	45	radiator	radiator	NOUN
asir-4876	194	46	is	be	AUX
asir-4876	194	47	equal	equal	ADJ
asir-4876	194	48	to	to	ADP
asir-4876	194	49	half	half	ADJ
asir-4876	194	50	sum	sum	NOUN
asir-4876	194	51	of	of	ADP
asir-4876	194	52	the	the	DET
asir-4876	194	53	permittivity	permittivity	NOUN
asir-4876	194	54	of	of	ADP
asir-4876	194	55	air	air	NOUN
asir-4876	194	56	and	and	CCONJ
asir-4876	194	57	a	a	DET
asir-4876	194	58	substrate	substrate	NOUN
asir-4876	194	59	.	.	PUNCT
asir-4876	195	1	respectively	respectively	ADV
asir-4876	195	2	the	the	DET
asir-4876	195	3	propagation	propagation	NOUN
asir-4876	195	4	constant	constant	ADJ
asir-4876	195	5	of	of	ADP
asir-4876	195	6	the	the	DET
asir-4876	195	7	current	current	ADJ
asir-4876	195	8	wave	wave	NOUN
asir-4876	195	9	along	along	ADP
asir-4876	195	10	the	the	DET
asir-4876	195	11	upper	upper	ADJ
asir-4876	195	12	and	and	CCONJ
asir-4876	195	13	lower	low	ADJ
asir-4876	195	14	plate	plate	NOUN
asir-4876	195	15	surfaces	surface	NOUN
asir-4876	195	16	is	be	AUX
asir-4876	195	17	the	the	DET
asir-4876	195	18	same	same	ADJ
asir-4876	195	19	and	and	CCONJ
asir-4876	195	20	equal	equal	ADJ
asir-4876	195	21	to	to	ADP
asir-4876	195	22	𝑘𝑒	𝑘𝑒	NOUN
asir-4876	195	23	=	=	PUNCT
asir-4876	195	24	𝑘√𝜀𝑒	𝑘√𝜀𝑒	PROPN
asir-4876	195	25	,	,	PUNCT
asir-4876	195	26	i.e.	i.e.	X
asir-4876	195	27	,	,	PUNCT
asir-4876	195	28	reactive	reactive	ADJ
asir-4876	195	29	and	and	CCONJ
asir-4876	195	30	active	active	ADJ
asir-4876	195	31	components	component	NOUN
asir-4876	195	32	of	of	ADP
asir-4876	195	33	the	the	DET
asir-4876	195	34	input	input	NOUN
asir-4876	195	35	impedance	impedance	NOUN
asir-4876	195	36	of	of	ADP
asir-4876	195	37	the	the	DET
asir-4876	195	38	microstrip	microstrip	NOUN
asir-4876	195	39	antenna	antenna	NOUN
asir-4876	195	40	shown	show	VERB
asir-4876	195	41	in	in	ADP
asir-4876	195	42	figure	figure	NOUN
asir-4876	195	43	1a	1a	NOUN
asir-4876	195	44	,	,	PUNCT
asir-4876	195	45	are	be	AUX
asir-4876	195	46	equal	equal	ADJ
asir-4876	195	47	to	to	ADP
asir-4876	195	48	𝑋𝐴1	𝑋𝐴1	PROPN
asir-4876	195	49	=	=	PUNCT
asir-4876	196	1	−𝑊	−𝑊	PROPN
asir-4876	196	2	cot	cot	NOUN
asir-4876	196	3	𝑘𝑒𝐿	𝑘𝑒𝐿	VERB
asir-4876	196	4	,	,	PUNCT
asir-4876	196	5	𝑅𝐴	𝑅𝐴	PROPN
asir-4876	196	6	=	=	SYM
asir-4876	196	7	80	80	NUM
asir-4876	196	8	(	(	PUNCT
asir-4876	196	9	𝑘	𝑘	PRON
asir-4876	196	10	𝑘𝑒	𝑘𝑒	NOUN
asir-4876	196	11	tan	tan	PROPN
asir-4876	196	12	𝑘𝑒𝐿	𝑘𝑒𝐿	VERB
asir-4876	196	13	2	2	NUM
asir-4876	196	14	)	)	PUNCT
asir-4876	196	15	2	2	NUM
asir-4876	196	16	.	.	PUNCT
asir-4876	197	1	(	(	PUNCT
asir-4876	197	2	9	9	NUM
asir-4876	197	3	)	)	PUNCT
asir-4876	197	4	in	in	ADP
asir-4876	197	5	order	order	NOUN
asir-4876	197	6	to	to	PART
asir-4876	197	7	experimentally	experimentally	ADV
asir-4876	197	8	verify	verify	VERB
asir-4876	197	9	the	the	DET
asir-4876	197	10	validity	validity	NOUN
asir-4876	197	11	of	of	ADP
asir-4876	197	12	the	the	DET
asir-4876	197	13	proposed	propose	VERB
asir-4876	197	14	method	method	NOUN
asir-4876	197	15	of	of	ADP
asir-4876	197	16	calculating	calculate	VERB
asir-4876	197	17	the	the	DET
asir-4876	197	18	equivalent	equivalent	ADJ
asir-4876	197	19	permittivity	permittivity	NOUN
asir-4876	197	20	of	of	ADP
asir-4876	197	21	a	a	DET
asir-4876	197	22	medium	medium	NOUN
asir-4876	197	23	next	next	ADV
asir-4876	197	24	to	to	ADP
asir-4876	197	25	a	a	DET
asir-4876	197	26	microstrip	microstrip	NOUN
asir-4876	197	27	antenna	antenna	NOUN
asir-4876	197	28	,	,	PUNCT
asir-4876	197	29	we	we	PRON
asir-4876	197	30	will	will	AUX
asir-4876	197	31	use	use	VERB
asir-4876	197	32	the	the	DET
asir-4876	197	33	results	result	NOUN
asir-4876	197	34	of	of	ADP
asir-4876	197	35	the	the	DET
asir-4876	197	36	development	development	NOUN
asir-4876	197	37	of	of	ADP
asir-4876	197	38	a	a	DET
asir-4876	197	39	microstrip	microstrip	NOUN
asir-4876	197	40	antenna	antenna	NOUN
asir-4876	197	41	with	with	ADP
asir-4876	197	42	circular	circular	ADJ
asir-4876	197	43	polarization	polarization	NOUN
asir-4876	197	44	(	(	PUNCT
asir-4876	197	45	barbakadze	barbakadze	PROPN
asir-4876	197	46	,	,	PUNCT
asir-4876	197	47	tabatadze	tabatadze	ADJ
asir-4876	197	48	,	,	PUNCT
asir-4876	197	49	petoev	petoev	NOUN
asir-4876	197	50	,	,	PUNCT
asir-4876	197	51	&	&	CCONJ
asir-4876	197	52	zaridze	zaridze	PROPN
asir-4876	197	53	,	,	PUNCT
asir-4876	197	54	2018	2018	NUM
asir-4876	197	55	)	)	PUNCT
asir-4876	197	56	.	.	PUNCT
asir-4876	198	1	as	as	SCONJ
asir-4876	198	2	known	know	VERB
asir-4876	198	3	,	,	PUNCT
asir-4876	198	4	a	a	DET
asir-4876	198	5	circular	circular	ADJ
asir-4876	198	6	polarization	polarization	NOUN
asir-4876	198	7	compared	compare	VERB
asir-4876	198	8	to	to	ADP
asir-4876	198	9	linear	linear	ADJ
asir-4876	198	10	polarization	polarization	NOUN
asir-4876	198	11	has	have	VERB
asir-4876	198	12	a	a	DET
asir-4876	198	13	number	number	NOUN
asir-4876	198	14	of	of	ADP
asir-4876	198	15	advantages	advantage	NOUN
asir-4876	198	16	in	in	ADP
asir-4876	198	17	the	the	DET
asir-4876	198	18	transmission	transmission	NOUN
asir-4876	198	19	and	and	CCONJ
asir-4876	198	20	reception	reception	NOUN
asir-4876	198	21	of	of	ADP
asir-4876	198	22	radio	radio	NOUN
asir-4876	198	23	signals	signal	NOUN
asir-4876	198	24	.	.	PUNCT
asir-4876	199	1	in	in	ADP
asir-4876	199	2	this	this	DET
asir-4876	199	3	paper	paper	NOUN
asir-4876	199	4	it	it	PRON
asir-4876	199	5	was	be	AUX
asir-4876	199	6	considered	consider	VERB
asir-4876	199	7	a	a	DET
asir-4876	199	8	square	square	ADJ
asir-4876	199	9	microstrip	microstrip	NOUN
asir-4876	199	10	antenna	antenna	NOUN
asir-4876	199	11	excited	excite	VERB
asir-4876	199	12	by	by	ADP
asir-4876	199	13	a	a	DET
asir-4876	199	14	coaxial	coaxial	ADJ
asir-4876	199	15	cable	cable	NOUN
asir-4876	199	16	(	(	PUNCT
asir-4876	199	17	figure	figure	NOUN
asir-4876	199	18	6	6	NUM
asir-4876	199	19	)	)	PUNCT
asir-4876	199	20	.	.	PUNCT
asir-4876	200	1	it	it	PRON
asir-4876	200	2	has	have	AUX
asir-4876	200	3	become	become	VERB
asir-4876	200	4	significant	significant	ADJ
asir-4876	200	5	step	step	NOUN
asir-4876	200	6	forward	forward	ADV
asir-4876	200	7	in	in	ADP
asir-4876	200	8	expanding	expand	VERB
asir-4876	200	9	the	the	DET
asir-4876	200	10	employment	employment	NOUN
asir-4876	200	11	of	of	ADP
asir-4876	200	12	microstrip	microstrip	NOUN
asir-4876	200	13	antennas	antenna	NOUN
asir-4876	200	14	.	.	PUNCT
asir-4876	201	1	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	PROPN
asir-4876	201	2	applied	apply	VERB
asir-4876	201	3	science	science	NOUN
asir-4876	201	4	and	and	CCONJ
asir-4876	201	5	innovative	innovative	ADJ
asir-4876	201	6	research	research	NOUN
asir-4876	201	7	vol	vol	NOUN
asir-4876	201	8	.	.	PROPN
asir-4876	202	1	6	6	NUM
asir-4876	202	2	,	,	PUNCT
asir-4876	202	3	no	no	INTJ
asir-4876	202	4	.	.	NOUN
asir-4876	202	5	3	3	NUM
asir-4876	202	6	,	,	PUNCT
asir-4876	202	7	2022	2022	NUM
asir-4876	202	8	12	12	NUM
asir-4876	202	9	published	publish	VERB
asir-4876	202	10	by	by	ADP
asir-4876	202	11	scholink	scholink	PROPN
asir-4876	202	12	inc	inc	PROPN
asir-4876	202	13	.	.	PROPN
asir-4876	202	14	figure	figure	NOUN
asir-4876	202	15	6	6	NUM
asir-4876	202	16	.	.	PUNCT
asir-4876	202	17	general	general	ADJ
asir-4876	202	18	view	view	NOUN
asir-4876	202	19	of	of	ADP
asir-4876	202	20	the	the	DET
asir-4876	202	21	antenna	antenna	NOUN
asir-4876	202	22	:	:	PUNCT
asir-4876	202	23	1	1	NUM
asir-4876	202	24	metal	metal	NOUN
asir-4876	202	25	plate	plate	NOUN
asir-4876	202	26	,	,	PUNCT
asir-4876	202	27	2	2	NUM
asir-4876	202	28	substrate	substrate	NOUN
asir-4876	202	29	,	,	PUNCT
asir-4876	202	30	3	3	NUM
asir-4876	202	31	grounding	grounding	NOUN
asir-4876	202	32	,	,	PUNCT
asir-4876	202	33	4	4	NUM
asir-4876	202	34	–	–	PUNCT
asir-4876	202	35	cable	cable	NOUN
asir-4876	202	36	,	,	PUNCT
asir-4876	202	37	5	5	NUM
asir-4876	202	38	cut	cut	NOUN
asir-4876	202	39	corners	corner	NOUN
asir-4876	202	40	the	the	DET
asir-4876	202	41	main	main	ADJ
asir-4876	202	42	option	option	NOUN
asir-4876	202	43	of	of	ADP
asir-4876	202	44	the	the	DET
asir-4876	202	45	antenna	antenna	NOUN
asir-4876	202	46	was	be	AUX
asir-4876	202	47	designed	design	VERB
asir-4876	202	48	to	to	PART
asir-4876	202	49	operate	operate	VERB
asir-4876	202	50	at	at	ADP
asir-4876	202	51	the	the	DET
asir-4876	202	52	frequency	frequency	NOUN
asir-4876	202	53	2.49	2.49	NUM
asir-4876	202	54	ghz	ghz	NOUN
asir-4876	202	55	.	.	PUNCT
asir-4876	203	1	the	the	DET
asir-4876	203	2	dimensions	dimension	NOUN
asir-4876	203	3	of	of	ADP
asir-4876	203	4	the	the	DET
asir-4876	203	5	antenna	antenna	NOUN
asir-4876	203	6	model	model	NOUN
asir-4876	203	7	(	(	PUNCT
asir-4876	203	8	in	in	ADP
asir-4876	203	9	meters	meter	NOUN
asir-4876	203	10	)	)	PUNCT
asir-4876	203	11	are	be	AUX
asir-4876	203	12	given	give	VERB
asir-4876	203	13	in	in	ADP
asir-4876	203	14	the	the	DET
asir-4876	203	15	figure	figure	NOUN
asir-4876	203	16	.	.	PUNCT
asir-4876	204	1	the	the	DET
asir-4876	204	2	thickness	thickness	NOUN
asir-4876	204	3	of	of	ADP
asir-4876	204	4	the	the	DET
asir-4876	204	5	metal	metal	NOUN
asir-4876	204	6	plate	plate	NOUN
asir-4876	204	7	(	(	PUNCT
asir-4876	204	8	strip	strip	NOUN
asir-4876	204	9	)	)	PUNCT
asir-4876	204	10	is	be	AUX
asir-4876	204	11	approximately	approximately	ADV
asir-4876	204	12	0.01	0.01	NUM
asir-4876	204	13	mm	mm	NOUN
asir-4876	204	14	.	.	PUNCT
asir-4876	205	1	two	two	NUM
asir-4876	205	2	corners	corner	NOUN
asir-4876	205	3	of	of	ADP
asir-4876	205	4	the	the	DET
asir-4876	205	5	conductive	conductive	ADJ
asir-4876	205	6	strip	strip	NOUN
asir-4876	205	7	were	be	AUX
asir-4876	205	8	cut	cut	VERB
asir-4876	205	9	off	off	ADP
asir-4876	205	10	in	in	ADP
asir-4876	205	11	order	order	NOUN
asir-4876	205	12	to	to	PART
asir-4876	205	13	obtain	obtain	VERB
asir-4876	205	14	circular	circular	ADJ
asir-4876	205	15	polarization	polarization	NOUN
asir-4876	205	16	.	.	PUNCT
asir-4876	206	1	the	the	DET
asir-4876	206	2	circular	circular	ADJ
asir-4876	206	3	polarization	polarization	NOUN
asir-4876	206	4	is	be	AUX
asir-4876	206	5	created	create	VERB
asir-4876	206	6	by	by	ADP
asir-4876	206	7	the	the	DET
asir-4876	206	8	rotating	rotate	VERB
asir-4876	206	9	current	current	NOUN
asir-4876	206	10	and	and	CCONJ
asir-4876	206	11	depends	depend	VERB
asir-4876	206	12	on	on	ADP
asir-4876	206	13	the	the	DET
asir-4876	206	14	depth	depth	NOUN
asir-4876	206	15	of	of	ADP
asir-4876	206	16	the	the	DET
asir-4876	206	17	cut	cut	NOUN
asir-4876	206	18	off	off	ADP
asir-4876	206	19	.	.	PUNCT
asir-4876	207	1	this	this	DET
asir-4876	207	2	depth	depth	NOUN
asir-4876	207	3	is	be	AUX
asir-4876	207	4	selected	select	VERB
asir-4876	207	5	experimentally	experimentally	ADV
asir-4876	207	6	and	and	CCONJ
asir-4876	207	7	is	be	AUX
asir-4876	207	8	equal	equal	ADJ
asir-4876	207	9	to	to	ADP
asir-4876	207	10	0.0028	0.0028	NUM
asir-4876	207	11	m.	m.	NOUN
asir-4876	207	12	,	,	PUNCT
asir-4876	207	13	the	the	DET
asir-4876	207	14	thickness	thickness	NOUN
asir-4876	207	15	of	of	ADP
asir-4876	207	16	the	the	DET
asir-4876	207	17	substrate	substrate	NOUN
asir-4876	207	18	is	be	AUX
asir-4876	207	19	3.48	3.48	NUM
asir-4876	207	20	mm	mm	NOUN
asir-4876	207	21	,	,	PUNCT
asir-4876	207	22	its	its	PRON
asir-4876	207	23	relative	relative	ADJ
asir-4876	207	24	permittivity	permittivity	NOUN
asir-4876	207	25	is	be	AUX
asir-4876	207	26	𝜀𝑟	𝜀𝑟	ADP
asir-4876	207	27	=	=	ADJ
asir-4876	207	28	6.8	6.8	NUM
asir-4876	207	29	.	.	PUNCT
asir-4876	207	30	to	to	PART
asir-4876	207	31	optimize	optimize	VERB
asir-4876	207	32	the	the	DET
asir-4876	207	33	model	model	NOUN
asir-4876	207	34	performance	performance	NOUN
asir-4876	207	35	at	at	ADP
asir-4876	207	36	the	the	DET
asir-4876	207	37	specified	specified	ADJ
asir-4876	207	38	frequency	frequency	NOUN
asir-4876	207	39	,	,	PUNCT
asir-4876	207	40	the	the	DET
asir-4876	207	41	cable	cable	NOUN
asir-4876	207	42	connection	connection	NOUN
asir-4876	207	43	point	point	NOUN
asir-4876	207	44	is	be	AUX
asir-4876	207	45	shifted	shift	VERB
asir-4876	207	46	from	from	ADP
asir-4876	207	47	the	the	DET
asir-4876	207	48	center	center	NOUN
asir-4876	207	49	and	and	CCONJ
asir-4876	207	50	located	locate	VERB
asir-4876	207	51	at	at	ADP
asir-4876	207	52	a	a	DET
asir-4876	207	53	distance	distance	NOUN
asir-4876	207	54	of	of	ADP
asir-4876	207	55	0.0242	0.0242	NUM
asir-4876	207	56	and	and	CCONJ
asir-4876	207	57	0.2095	0.2095	NUM
asir-4876	207	58	m	m	NOUN
asir-4876	207	59	from	from	ADP
asir-4876	207	60	the	the	DET
asir-4876	207	61	left	left	ADJ
asir-4876	207	62	and	and	CCONJ
asir-4876	207	63	bottom	bottom	ADJ
asir-4876	207	64	edges	edge	NOUN
asir-4876	207	65	of	of	ADP
asir-4876	207	66	the	the	DET
asir-4876	207	67	grounding	grounding	NOUN
asir-4876	207	68	.	.	PUNCT
asir-4876	208	1	the	the	DET
asir-4876	208	2	cable	cable	NOUN
asir-4876	208	3	radius	radius	NOUN
asir-4876	208	4	is	be	AUX
asir-4876	208	5	1.6	1.6	NUM
asir-4876	208	6	mm	mm	NOUN
asir-4876	208	7	.	.	PUNCT
asir-4876	209	1	the	the	DET
asir-4876	209	2	paper	paper	NOUN
asir-4876	209	3	confirms	confirm	VERB
asir-4876	209	4	the	the	DET
asir-4876	209	5	possibility	possibility	NOUN
asir-4876	209	6	of	of	ADP
asir-4876	209	7	creating	create	VERB
asir-4876	209	8	a	a	DET
asir-4876	209	9	circularly	circularly	ADV
asir-4876	209	10	polarized	polarize	VERB
asir-4876	209	11	antenna	antenna	NOUN
asir-4876	209	12	with	with	ADP
asir-4876	209	13	sufficiently	sufficiently	ADV
asir-4876	209	14	high	high	ADJ
asir-4876	209	15	electrical	electrical	ADJ
asir-4876	209	16	characteristics	characteristic	NOUN
asir-4876	209	17	:	:	PUNCT
asir-4876	209	18	the	the	DET
asir-4876	209	19	antenna	antenna	NOUN
asir-4876	209	20	swr	swr	VERB
asir-4876	209	21	at	at	ADP
asir-4876	209	22	the	the	DET
asir-4876	209	23	fundamental	fundamental	ADJ
asir-4876	209	24	frequency	frequency	NOUN
asir-4876	209	25	is	be	AUX
asir-4876	209	26	1.5	1.5	NUM
asir-4876	209	27	,	,	PUNCT
asir-4876	209	28	the	the	DET
asir-4876	209	29	6	6	NUM
asir-4876	209	30	db	db	NOUN
asir-4876	209	31	bandwidth	bandwidth	NOUN
asir-4876	209	32	is	be	AUX
asir-4876	209	33	equal	equal	ADJ
asir-4876	209	34	to	to	ADP
asir-4876	209	35	0.13	0.13	NUM
asir-4876	209	36	ghz	ghz	NOUN
asir-4876	209	37	,	,	PUNCT
asir-4876	209	38	and	and	CCONJ
asir-4876	209	39	the	the	DET
asir-4876	209	40	axial	axial	ADJ
asir-4876	209	41	ratio	ratio	NOUN
asir-4876	209	42	is	be	AUX
asir-4876	209	43	1.27	1.27	NUM
asir-4876	209	44	db	db	NOUN
asir-4876	209	45	.	.	PUNCT
asir-4876	210	1	let	let	VERB
asir-4876	210	2	us	we	PRON
asir-4876	210	3	apply	apply	VERB
asir-4876	210	4	to	to	ADP
asir-4876	210	5	this	this	DET
asir-4876	210	6	antenna	antenna	NOUN
asir-4876	210	7	the	the	DET
asir-4876	210	8	described	describe	VERB
asir-4876	210	9	method	method	NOUN
asir-4876	210	10	of	of	ADP
asir-4876	210	11	calculating	calculate	VERB
asir-4876	210	12	characteristics	characteristic	NOUN
asir-4876	210	13	.	.	PUNCT
asir-4876	211	1	the	the	DET
asir-4876	211	2	equivalent	equivalent	ADJ
asir-4876	211	3	permittivity	permittivity	NOUN
asir-4876	211	4	of	of	ADP
asir-4876	211	5	the	the	DET
asir-4876	211	6	antenna	antenna	NOUN
asir-4876	211	7	substrate	substrate	NOUN
asir-4876	211	8	is	be	AUX
asir-4876	211	9	equal	equal	ADJ
asir-4876	211	10	to	to	PART
asir-4876	211	11	𝜀е	𝜀е	VERB
asir-4876	211	12	=	=	PUNCT
asir-4876	211	13	(	(	PUNCT
asir-4876	211	14	6.8	6.8	NUM
asir-4876	211	15	+	+	CCONJ
asir-4876	211	16	1	1	NUM
asir-4876	211	17	)	)	PUNCT
asir-4876	211	18	2⁄	2⁄	NUM
asir-4876	211	19	=	=	NUM
asir-4876	211	20	3.9	3.9	NUM
asir-4876	211	21	.	.	PUNCT
asir-4876	212	1	since	since	SCONJ
asir-4876	212	2	frequency	frequency	NOUN
asir-4876	212	3	is	be	AUX
asir-4876	212	4	𝑓	𝑓	PRON
asir-4876	212	5	=	=	SYM
asir-4876	212	6	2,49	2,49	NUM
asir-4876	212	7	∙	∙	PROPN
asir-4876	212	8	109	109	NUM
asir-4876	212	9	,	,	PUNCT
asir-4876	212	10	the	the	DET
asir-4876	212	11	wave	wave	NOUN
asir-4876	212	12	length	length	NOUN
asir-4876	212	13	is	be	AUX
asir-4876	212	14	𝜆	𝜆	PRON
asir-4876	212	15	=	=	PUNCT
asir-4876	212	16	𝑐	𝑐	PROPN
asir-4876	212	17	𝑓⁄	𝑓⁄	NOUN
asir-4876	212	18	=	=	SYM
asir-4876	212	19	0.12	0.12	NUM
asir-4876	212	20	m	m	PROPN
asir-4876	212	21	,	,	PUNCT
asir-4876	212	22	and	and	CCONJ
asir-4876	212	23	slowing	slow	VERB
asir-4876	212	24	is	be	AUX
asir-4876	212	25	𝑛	𝑛	ADJ
asir-4876	212	26	=	=	PUNCT
asir-4876	212	27	√𝜀е	√𝜀е	NOUN
asir-4876	212	28	=	=	NOUN
asir-4876	212	29	1.97	1.97	NUM
asir-4876	212	30	,	,	PUNCT
asir-4876	212	31	then	then	ADV
asir-4876	212	32	the	the	DET
asir-4876	212	33	resonant	resonant	ADJ
asir-4876	212	34	length	length	NOUN
asir-4876	212	35	of	of	ADP
asir-4876	212	36	the	the	DET
asir-4876	212	37	antenna	antenna	NOUN
asir-4876	212	38	is	be	AUX
asir-4876	212	39	𝐿	𝐿	PROPN
asir-4876	212	40	=	=	SYM
asir-4876	212	41	𝜆	𝜆	PROPN
asir-4876	212	42	(	(	PUNCT
asir-4876	212	43	2√𝜀𝑒)⁄	2√𝜀𝑒)⁄	NUM
asir-4876	212	44	=	=	SYM
asir-4876	212	45	0.03	0.03	NUM
asir-4876	212	46	m.	m.	NOUN
asir-4876	212	47	its	its	PRON
asir-4876	212	48	geometric	geometric	ADJ
asir-4876	212	49	length	length	NOUN
asir-4876	212	50	,	,	PUNCT
asir-4876	212	51	i.e.	i.e.	X
asir-4876	212	52	,	,	PUNCT
asir-4876	212	53	the	the	DET
asir-4876	212	54	diagonal	diagonal	NOUN
asir-4876	212	55	of	of	ADP
asir-4876	212	56	the	the	DET
asir-4876	212	57	square	square	NOUN
asir-4876	212	58	,	,	PUNCT
asir-4876	212	59	taking	take	VERB
asir-4876	212	60	into	into	ADP
asir-4876	212	61	account	account	NOUN
asir-4876	212	62	the	the	DET
asir-4876	212	63	cuts	cut	NOUN
asir-4876	212	64	,	,	PUNCT
asir-4876	212	65	is	be	AUX
asir-4876	212	66	somewhat	somewhat	ADV
asir-4876	212	67	less	less	ADV
asir-4876	212	68	0.026	0.026	NUM
asir-4876	212	69	m.	m.	NOUN
asir-4876	212	70	therefore	therefore	ADV
asir-4876	212	71	,	,	PUNCT
asir-4876	212	72	it	it	PRON
asir-4876	212	73	had	have	VERB
asir-4876	212	74	to	to	PART
asir-4876	212	75	slightly	slightly	ADV
asir-4876	212	76	increase	increase	VERB
asir-4876	212	77	this	this	DET
asir-4876	212	78	length	length	NOUN
asir-4876	212	79	by	by	ADP
asir-4876	212	80	shifting	shift	VERB
asir-4876	212	81	the	the	DET
asir-4876	212	82	excitation	excitation	NOUN
asir-4876	212	83	point	point	NOUN
asir-4876	212	84	.	.	PUNCT
asir-4876	213	1	this	this	DET
asir-4876	213	2	result	result	NOUN
asir-4876	213	3	serves	serve	VERB
asir-4876	213	4	as	as	ADP
asir-4876	213	5	a	a	DET
asir-4876	213	6	clear	clear	ADJ
asir-4876	213	7	confirmation	confirmation	NOUN
asir-4876	213	8	of	of	ADP
asir-4876	213	9	the	the	DET
asir-4876	213	10	validity	validity	NOUN
asir-4876	213	11	of	of	ADP
asir-4876	213	12	the	the	DET
asir-4876	213	13	described	describe	VERB
asir-4876	213	14	technique	technique	NOUN
asir-4876	213	15	and	and	CCONJ
asir-4876	213	16	shows	show	VERB
asir-4876	213	17	that	that	SCONJ
asir-4876	213	18	the	the	DET
asir-4876	213	19	substrate	substrate	NOUN
asir-4876	213	20	even	even	ADV
asir-4876	213	21	of	of	ADP
asir-4876	213	22	a	a	DET
asir-4876	213	23	small	small	ADJ
asir-4876	213	24	thickness	thickness	NOUN
asir-4876	213	25	significantly	significantly	ADV
asir-4876	213	26	increases	increase	VERB
asir-4876	213	27	the	the	DET
asir-4876	213	28	equivalent	equivalent	ADJ
asir-4876	213	29	permittivity	permittivity	NOUN
asir-4876	213	30	of	of	ADP
asir-4876	213	31	the	the	DET
asir-4876	213	32	environment	environment	NOUN
asir-4876	213	33	.	.	PUNCT
asir-4876	214	1	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	PROPN
asir-4876	214	2	applied	apply	VERB
asir-4876	214	3	science	science	NOUN
asir-4876	214	4	and	and	CCONJ
asir-4876	214	5	innovative	innovative	ADJ
asir-4876	214	6	research	research	NOUN
asir-4876	214	7	vol	vol	NOUN
asir-4876	214	8	.	.	PROPN
asir-4876	215	1	6	6	NUM
asir-4876	215	2	,	,	PUNCT
asir-4876	215	3	no	no	INTJ
asir-4876	215	4	.	.	NOUN
asir-4876	215	5	3	3	NUM
asir-4876	215	6	,	,	PUNCT
asir-4876	215	7	2022	2022	NUM
asir-4876	215	8	13	13	NUM
asir-4876	215	9	published	publish	VERB
asir-4876	215	10	by	by	ADP
asir-4876	215	11	scholink	scholink	PROPN
asir-4876	215	12	inc	inc	PROPN
asir-4876	215	13	.	.	PROPN
asir-4876	215	14	4	4	NUM
asir-4876	215	15	.	.	X
asir-4876	215	16	dependance	dependance	NOUN
asir-4876	215	17	of	of	ADP
asir-4876	215	18	antenna	antenna	NOUN
asir-4876	215	19	characteristics	characteristic	NOUN
asir-4876	215	20	on	on	ADP
asir-4876	215	21	current	current	ADJ
asir-4876	215	22	distribution	distribution	NOUN
asir-4876	215	23	in	in	ADP
asir-4876	215	24	the	the	DET
asir-4876	215	25	article	article	NOUN
asir-4876	215	26	it	it	PRON
asir-4876	215	27	was	be	AUX
asir-4876	215	28	already	already	ADV
asir-4876	215	29	said	say	VERB
asir-4876	215	30	about	about	ADP
asir-4876	215	31	the	the	DET
asir-4876	215	32	importance	importance	NOUN
asir-4876	215	33	of	of	ADP
asir-4876	215	34	expanding	expand	VERB
asir-4876	215	35	the	the	DET
asir-4876	215	36	frequency	frequency	NOUN
asir-4876	215	37	range	range	NOUN
asir-4876	215	38	and	and	CCONJ
asir-4876	215	39	improving	improve	VERB
asir-4876	215	40	the	the	DET
asir-4876	215	41	characteristics	characteristic	NOUN
asir-4876	215	42	of	of	ADP
asir-4876	215	43	microstrip	microstrip	NOUN
asir-4876	215	44	antennas	antenna	NOUN
asir-4876	215	45	.	.	PUNCT
asir-4876	216	1	the	the	DET
asir-4876	216	2	solution	solution	NOUN
asir-4876	216	3	of	of	ADP
asir-4876	216	4	these	these	DET
asir-4876	216	5	problems	problem	NOUN
asir-4876	216	6	primarily	primarily	ADV
asir-4876	216	7	depends	depend	VERB
asir-4876	216	8	on	on	ADP
asir-4876	216	9	the	the	DET
asir-4876	216	10	nature	nature	NOUN
asir-4876	216	11	of	of	ADP
asir-4876	216	12	the	the	DET
asir-4876	216	13	current	current	ADJ
asir-4876	216	14	distribution	distribution	NOUN
asir-4876	216	15	along	along	ADP
asir-4876	216	16	a	a	DET
asir-4876	216	17	particular	particular	ADJ
asir-4876	216	18	antenna	antenna	NOUN
asir-4876	216	19	.	.	PUNCT
asir-4876	217	1	this	this	DET
asir-4876	217	2	section	section	NOUN
asir-4876	217	3	is	be	AUX
asir-4876	217	4	devoted	devote	VERB
asir-4876	217	5	to	to	ADP
asir-4876	217	6	comparing	compare	VERB
asir-4876	217	7	the	the	DET
asir-4876	217	8	results	result	NOUN
asir-4876	217	9	of	of	ADP
asir-4876	217	10	applying	apply	VERB
asir-4876	217	11	known	know	VERB
asir-4876	217	12	distributions	distribution	NOUN
asir-4876	217	13	.	.	PUNCT
asir-4876	218	1	we	we	PRON
asir-4876	218	2	will	will	AUX
asir-4876	218	3	calculate	calculate	VERB
asir-4876	218	4	the	the	DET
asir-4876	218	5	radiation	radiation	NOUN
asir-4876	218	6	resistance	resistance	NOUN
asir-4876	218	7	of	of	ADP
asir-4876	218	8	the	the	DET
asir-4876	218	9	antennas	antenna	NOUN
asir-4876	218	10	by	by	ADP
asir-4876	218	11	means	mean	NOUN
asir-4876	218	12	of	of	ADP
asir-4876	218	13	the	the	DET
asir-4876	218	14	method	method	NOUN
asir-4876	218	15	of	of	ADP
asir-4876	218	16	the	the	DET
asir-4876	218	17	poynting	poynte	VERB
asir-4876	218	18	vector	vector	NOUN
asir-4876	218	19	(	(	PUNCT
asir-4876	218	20	poynting	poynting	NOUN
asir-4876	218	21	,	,	PUNCT
asir-4876	218	22	1884	1884	NUM
asir-4876	218	23	)	)	PUNCT
asir-4876	218	24	.	.	PUNCT
asir-4876	219	1	in	in	ADP
asir-4876	219	2	accordance	accordance	NOUN
asir-4876	219	3	with	with	ADP
asir-4876	219	4	this	this	DET
asir-4876	219	5	method	method	NOUN
asir-4876	219	6	the	the	DET
asir-4876	219	7	radiation	radiation	NOUN
asir-4876	219	8	resistance	resistance	NOUN
asir-4876	219	9	𝑅ς	𝑅ς	PRON
asir-4876	219	10	is	be	AUX
asir-4876	219	11	determined	determine	VERB
asir-4876	219	12	as	as	ADP
asir-4876	219	13	the	the	DET
asir-4876	219	14	result	result	NOUN
asir-4876	219	15	of	of	ADP
asir-4876	219	16	dividing	divide	VERB
asir-4876	219	17	the	the	DET
asir-4876	219	18	radiated	radiate	VERB
asir-4876	219	19	power	power	NOUN
asir-4876	219	20	𝑃	𝑃	NOUN
asir-4876	219	21	by	by	ADP
asir-4876	219	22	the	the	DET
asir-4876	219	23	square	square	NOUN
asir-4876	219	24	of	of	ADP
asir-4876	219	25	the	the	DET
asir-4876	219	26	antenna	antenna	NOUN
asir-4876	219	27	input	input	NOUN
asir-4876	219	28	current	current	ADJ
asir-4876	219	29	𝐽𝐴(0	𝐽𝐴(0	PROPN
asir-4876	219	30	):	):	PUNCT
asir-4876	219	31	𝑅ς	𝑅ς	PROPN
asir-4876	219	32	=	=	PUNCT
asir-4876	219	33	𝑃	𝑃	PROPN
asir-4876	219	34	𝐽𝐴	𝐽𝐴	NOUN
asir-4876	219	35	2(0).⁄	2(0).⁄	PROPN
asir-4876	219	36	at	at	ADP
asir-4876	219	37	that	that	SCONJ
asir-4876	219	38	the	the	DET
asir-4876	219	39	power	power	NOUN
asir-4876	219	40	is	be	AUX
asir-4876	219	41	defined	define	VERB
asir-4876	219	42	as	as	ADP
asir-4876	219	43	the	the	DET
asir-4876	219	44	sum	sum	NOUN
asir-4876	219	45	of	of	ADP
asir-4876	219	46	fields	field	NOUN
asir-4876	219	47	fluxes	flux	NOUN
asir-4876	219	48	through	through	ADP
asir-4876	219	49	the	the	DET
asir-4876	219	50	surface	surface	NOUN
asir-4876	219	51	of	of	ADP
asir-4876	219	52	a	a	DET
asir-4876	219	53	sphere	sphere	NOUN
asir-4876	219	54	of	of	ADP
asir-4876	219	55	infinitely	infinitely	ADV
asir-4876	219	56	large	large	ADJ
asir-4876	219	57	radius	radius	NOUN
asir-4876	219	58	𝑅0	𝑅0	NOUN
asir-4876	219	59	,	,	PUNCT
asir-4876	219	60	the	the	DET
asir-4876	219	61	center	center	NOUN
asir-4876	219	62	of	of	ADP
asir-4876	219	63	which	which	PRON
asir-4876	219	64	coincides	coincide	VERB
asir-4876	219	65	with	with	ADP
asir-4876	219	66	the	the	DET
asir-4876	219	67	antenna	antenna	NOUN
asir-4876	219	68	center	center	NOUN
asir-4876	219	69	.	.	PUNCT
asir-4876	220	1	such	such	DET
asir-4876	220	2	a	a	DET
asir-4876	220	3	radius	radius	NOUN
asir-4876	220	4	allows	allow	VERB
asir-4876	220	5	us	we	PRON
asir-4876	220	6	to	to	PART
asir-4876	220	7	assume	assume	VERB
asir-4876	220	8	that	that	SCONJ
asir-4876	220	9	the	the	DET
asir-4876	220	10	field	field	NOUN
asir-4876	220	11	passing	pass	VERB
asir-4876	220	12	through	through	ADP
asir-4876	220	13	the	the	DET
asir-4876	220	14	sphere	sphere	NOUN
asir-4876	220	15	is	be	AUX
asir-4876	220	16	flat	flat	ADJ
asir-4876	220	17	,	,	PUNCT
asir-4876	220	18	i.e.	i.e.	X
asir-4876	220	19	,	,	PUNCT
asir-4876	220	20	the	the	DET
asir-4876	220	21	ratio	ratio	NOUN
asir-4876	220	22	of	of	ADP
asir-4876	220	23	the	the	DET
asir-4876	220	24	electric	electric	ADJ
asir-4876	220	25	and	and	CCONJ
asir-4876	220	26	magnetic	magnetic	ADJ
asir-4876	220	27	fields	field	NOUN
asir-4876	220	28	is	be	AUX
asir-4876	220	29	equal	equal	ADJ
asir-4876	220	30	to	to	ADP
asir-4876	220	31	𝐸	𝐸	PROPN
asir-4876	220	32	𝐻⁄	𝐻⁄	NOUN
asir-4876	220	33	=	=	SYM
asir-4876	220	34	𝑍0	𝑍0	PROPN
asir-4876	220	35	,	,	PUNCT
asir-4876	220	36	where	where	SCONJ
asir-4876	220	37	𝑍0	𝑍0	PROPN
asir-4876	220	38	=	=	SYM
asir-4876	220	39	120𝜋	120𝜋	PROPN
asir-4876	220	40	is	be	AUX
asir-4876	220	41	the	the	DET
asir-4876	220	42	wave	wave	NOUN
asir-4876	220	43	impedance	impedance	NOUN
asir-4876	220	44	of	of	ADP
asir-4876	220	45	free	free	ADJ
asir-4876	220	46	space	space	NOUN
asir-4876	220	47	.	.	PUNCT
asir-4876	221	1	this	this	PRON
asir-4876	221	2	means	mean	VERB
asir-4876	221	3	that	that	SCONJ
asir-4876	221	4	the	the	DET
asir-4876	221	5	power	power	NOUN
asir-4876	221	6	flux	flux	NOUN
asir-4876	221	7	𝑃	𝑃	VERB
asir-4876	221	8	through	through	ADP
asir-4876	221	9	the	the	DET
asir-4876	221	10	unit	unit	NOUN
asir-4876	221	11	area	area	NOUN
asir-4876	221	12	of	of	ADP
asir-4876	221	13	the	the	DET
asir-4876	221	14	sphere	sphere	NOUN
asir-4876	221	15	s	s	VERB
asir-4876	221	16	is	be	AUX
asir-4876	221	17	equal	equal	ADJ
asir-4876	221	18	to	to	PART
asir-4876	221	19	𝑃/𝑆	𝑃/𝑆	VERB
asir-4876	221	20	=	=	SYM
asir-4876	222	1	𝐸𝜃	𝐸𝜃	PROPN
asir-4876	222	2	2/𝑍0	2/𝑍0	NUM
asir-4876	222	3	.	.	PUNCT
asir-4876	223	1	here	here	ADV
asir-4876	223	2	𝐸𝜃	𝐸𝜃	PROPN
asir-4876	223	3	is	be	AUX
asir-4876	223	4	the	the	DET
asir-4876	223	5	projection	projection	NOUN
asir-4876	223	6	of	of	ADP
asir-4876	223	7	the	the	DET
asir-4876	223	8	electric	electric	ADJ
asir-4876	223	9	field	field	NOUN
asir-4876	223	10	strength	strength	NOUN
asir-4876	223	11	onto	onto	ADP
asir-4876	223	12	the	the	DET
asir-4876	223	13	sphere	sphere	NOUN
asir-4876	223	14	surface	surface	NOUN
asir-4876	223	15	.	.	PUNCT
asir-4876	224	1	in	in	ADP
asir-4876	224	2	order	order	NOUN
asir-4876	224	3	to	to	PART
asir-4876	224	4	determine	determine	VERB
asir-4876	224	5	the	the	DET
asir-4876	224	6	power	power	NOUN
asir-4876	224	7	flux	flux	NOUN
asir-4876	224	8	through	through	ADP
asir-4876	224	9	the	the	DET
asir-4876	224	10	surface	surface	NOUN
asir-4876	224	11	of	of	ADP
asir-4876	224	12	the	the	DET
asir-4876	224	13	sphere	sphere	NOUN
asir-4876	224	14	,	,	PUNCT
asir-4876	224	15	it	it	PRON
asir-4876	224	16	is	be	AUX
asir-4876	224	17	necessary	necessary	ADJ
asir-4876	224	18	to	to	PART
asir-4876	224	19	calculate	calculate	VERB
asir-4876	224	20	the	the	DET
asir-4876	224	21	integral	integral	NOUN
asir-4876	224	22	of	of	ADP
asir-4876	224	23	the	the	DET
asir-4876	224	24	value	value	NOUN
asir-4876	224	25	𝐸𝜃	𝐸𝜃	PROPN
asir-4876	224	26	2	2	NUM
asir-4876	224	27	over	over	ADP
asir-4876	224	28	the	the	DET
asir-4876	224	29	angles	angle	NOUN
asir-4876	224	30	θ	θ	PROPN
asir-4876	224	31	and	and	CCONJ
asir-4876	224	32	φ	φ	PROPN
asir-4876	224	33	.	.	PUNCT
asir-4876	225	1	integration	integration	NOUN
asir-4876	225	2	over	over	ADP
asir-4876	225	3	φ	φ	PROPN
asir-4876	225	4	is	be	AUX
asir-4876	225	5	reduced	reduce	VERB
asir-4876	225	6	to	to	ADP
asir-4876	225	7	a	a	DET
asir-4876	225	8	multiplication	multiplication	NOUN
asir-4876	225	9	by	by	ADP
asir-4876	225	10	2π	2π	NOUN
asir-4876	225	11	,	,	PUNCT
asir-4876	225	12	since	since	SCONJ
asir-4876	225	13	𝐸𝜃	𝐸𝜃	PROPN
asir-4876	225	14	does	do	AUX
asir-4876	225	15	not	not	PART
asir-4876	225	16	depend	depend	VERB
asir-4876	225	17	on	on	ADP
asir-4876	225	18	the	the	DET
asir-4876	225	19	angle	angle	NOUN
asir-4876	225	20	φ	φ	PROPN
asir-4876	225	21	.	.	PUNCT
asir-4876	226	1	integration	integration	NOUN
asir-4876	226	2	over	over	ADP
asir-4876	226	3	the	the	DET
asir-4876	226	4	angle	angle	NOUN
asir-4876	226	5	θ	θ	PROPN
asir-4876	226	6	is	be	AUX
asir-4876	226	7	a	a	DET
asir-4876	226	8	laborious	laborious	ADJ
asir-4876	226	9	problem	problem	NOUN
asir-4876	226	10	,	,	PUNCT
asir-4876	226	11	which	which	PRON
asir-4876	226	12	is	be	AUX
asir-4876	226	13	solved	solve	VERB
asir-4876	226	14	,	,	PUNCT
asir-4876	226	15	as	as	ADP
asir-4876	226	16	a	a	DET
asir-4876	226	17	result	result	NOUN
asir-4876	226	18	of	of	ADP
asir-4876	226	19	multiple	multiple	ADJ
asir-4876	226	20	integration	integration	NOUN
asir-4876	226	21	by	by	ADP
asir-4876	226	22	parts	part	NOUN
asir-4876	226	23	.	.	PUNCT
asir-4876	227	1	the	the	DET
asir-4876	227	2	used	use	VERB
asir-4876	227	3	further	further	ADJ
asir-4876	227	4	method	method	NOUN
asir-4876	227	5	of	of	ADP
asir-4876	227	6	calculation	calculation	NOUN
asir-4876	227	7	is	be	AUX
asir-4876	227	8	based	base	VERB
asir-4876	227	9	on	on	ADP
asir-4876	227	10	two	two	NUM
asir-4876	227	11	simplifications	simplification	NOUN
asir-4876	227	12	.	.	PUNCT
asir-4876	228	1	firstly	firstly	ADV
asir-4876	228	2	,	,	PUNCT
asir-4876	228	3	the	the	DET
asir-4876	228	4	expression	expression	NOUN
asir-4876	228	5	for	for	ADP
asir-4876	228	6	the	the	DET
asir-4876	228	7	electric	electric	ADJ
asir-4876	228	8	field	field	NOUN
asir-4876	228	9	of	of	ADP
asir-4876	228	10	a	a	DET
asir-4876	228	11	vertical	vertical	ADJ
asir-4876	228	12	radiator	radiator	NOUN
asir-4876	228	13	at	at	ADP
asir-4876	228	14	an	an	DET
asir-4876	228	15	arbitrary	arbitrary	ADJ
asir-4876	228	16	angle	angle	NOUN
asir-4876	228	17	θ	θ	NOUN
asir-4876	228	18	is	be	AUX
asir-4876	228	19	complex	complex	ADJ
asir-4876	228	20	,	,	PUNCT
asir-4876	228	21	while	while	SCONJ
asir-4876	228	22	the	the	DET
asir-4876	228	23	analogous	analogous	ADJ
asir-4876	228	24	formula	formula	NOUN
asir-4876	228	25	for	for	ADP
asir-4876	228	26	the	the	DET
asir-4876	228	27	field	field	NOUN
asir-4876	228	28	in	in	ADP
asir-4876	228	29	a	a	DET
asir-4876	228	30	direction	direction	NOUN
asir-4876	228	31	perpendicular	perpendicular	NOUN
asir-4876	228	32	to	to	ADP
asir-4876	228	33	the	the	DET
asir-4876	228	34	radiator	radiator	NOUN
asir-4876	228	35	is	be	AUX
asir-4876	228	36	much	much	ADV
asir-4876	228	37	simpler	simple	ADJ
asir-4876	228	38	.	.	PUNCT
asir-4876	229	1	secondly	secondly	ADV
asir-4876	229	2	,	,	PUNCT
asir-4876	229	3	the	the	DET
asir-4876	229	4	antenna	antenna	NOUN
asir-4876	229	5	dimensions	dimension	NOUN
asir-4876	229	6	are	be	AUX
asir-4876	229	7	small	small	ADJ
asir-4876	229	8	compared	compare	VERB
asir-4876	229	9	to	to	ADP
asir-4876	229	10	the	the	DET
asir-4876	229	11	infinite	infinite	ADJ
asir-4876	229	12	radius	radius	NOUN
asir-4876	229	13	of	of	ADP
asir-4876	229	14	the	the	DET
asir-4876	229	15	spherical	spherical	ADJ
asir-4876	229	16	surface	surface	NOUN
asir-4876	229	17	,	,	PUNCT
asir-4876	229	18	i.e.	i.e.	X
asir-4876	229	19	,	,	PUNCT
asir-4876	229	20	the	the	DET
asir-4876	229	21	distance	distance	NOUN
asir-4876	229	22	from	from	ADP
asir-4876	229	23	any	any	DET
asir-4876	229	24	point	point	NOUN
asir-4876	229	25	of	of	ADP
asir-4876	229	26	the	the	DET
asir-4876	229	27	antenna	antenna	NOUN
asir-4876	229	28	to	to	ADP
asir-4876	229	29	any	any	DET
asir-4876	229	30	point	point	NOUN
asir-4876	229	31	of	of	ADP
asir-4876	229	32	this	this	DET
asir-4876	229	33	surface	surface	NOUN
asir-4876	229	34	is	be	AUX
asir-4876	229	35	the	the	DET
asir-4876	229	36	same	same	ADJ
asir-4876	229	37	.	.	PUNCT
asir-4876	230	1	therefore	therefore	ADV
asir-4876	230	2	,	,	PUNCT
asir-4876	230	3	the	the	DET
asir-4876	230	4	field	field	NOUN
asir-4876	230	5	created	create	VERB
asir-4876	230	6	by	by	ADP
asir-4876	230	7	the	the	DET
asir-4876	230	8	antenna	antenna	NOUN
asir-4876	230	9	on	on	ADP
asir-4876	230	10	this	this	DET
asir-4876	230	11	surface	surface	NOUN
asir-4876	230	12	at	at	ADP
asir-4876	230	13	an	an	DET
asir-4876	230	14	angle	angle	NOUN
asir-4876	230	15	θ	θ	NOUN
asir-4876	230	16	is	be	AUX
asir-4876	230	17	equal	equal	ADJ
asir-4876	230	18	to	to	ADP
asir-4876	230	19	𝐸𝜃	𝐸𝜃	PROPN
asir-4876	230	20	=	=	PUNCT
asir-4876	230	21	𝐸𝜃(𝜋	𝐸𝜃(𝜋	ADP
asir-4876	230	22	2⁄	2⁄	NUM
asir-4876	230	23	)	)	PUNCT
asir-4876	230	24	sin	sin	NOUN
asir-4876	230	25	𝜃	𝜃	NOUN
asir-4876	230	26	,	,	PUNCT
asir-4876	230	27	and	and	CCONJ
asir-4876	230	28	the	the	DET
asir-4876	230	29	power	power	NOUN
asir-4876	230	30	flux	flux	NOUN
asir-4876	230	31	in	in	ADP
asir-4876	230	32	the	the	DET
asir-4876	230	33	indicated	indicate	VERB
asir-4876	230	34	direction	direction	NOUN
asir-4876	230	35	is	be	AUX
asir-4876	230	36	proportional	proportional	ADJ
asir-4876	230	37	to	to	ADP
asir-4876	230	38	𝐸𝜃	𝐸𝜃	PROPN
asir-4876	230	39	2	2	NUM
asir-4876	230	40	.	.	PUNCT
asir-4876	231	1	that	that	PRON
asir-4876	231	2	’s	’	VERB
asir-4876	231	3	why	why	SCONJ
asir-4876	231	4	the	the	DET
asir-4876	231	5	integral	integral	NOUN
asir-4876	231	6	of	of	ADP
asir-4876	231	7	𝐸𝜃	𝐸𝜃	PROPN
asir-4876	231	8	2	2	NUM
asir-4876	231	9	over	over	ADP
asir-4876	231	10	the	the	DET
asir-4876	231	11	entire	entire	ADJ
asir-4876	231	12	spherical	spherical	ADJ
asir-4876	231	13	surface	surface	NOUN
asir-4876	231	14	in	in	ADP
asir-4876	231	15	the	the	DET
asir-4876	231	16	spherical	spherical	ADJ
asir-4876	231	17	coordinate	coordinate	NOUN
asir-4876	231	18	system	system	NOUN
asir-4876	231	19	is	be	AUX
asir-4876	231	20	∫	∫	PROPN
asir-4876	231	21	𝐸𝜃	𝐸𝜃	PROPN
asir-4876	231	22	2	2	NUM
asir-4876	231	23	sin	sin	NOUN
asir-4876	231	24	𝜃	𝜃	X
asir-4876	231	25	𝑑	𝑑	NOUN
asir-4876	231	26	𝜋	𝜋	NOUN
asir-4876	231	27	2⁄	2⁄	NUM
asir-4876	231	28	0	0	NUM
asir-4876	231	29	𝜃	𝜃	NOUN
asir-4876	232	1	=	=	SYM
asir-4876	232	2	∫	∫	PROPN
asir-4876	232	3	𝐸𝜃	𝐸𝜃	PROPN
asir-4876	232	4	2	2	NUM
asir-4876	232	5	(	(	PUNCT
asir-4876	232	6	𝜋	𝜋	NOUN
asir-4876	232	7	2⁄	2⁄	NUM
asir-4876	232	8	)	)	PUNCT
asir-4876	232	9	sin3	sin3	NOUN
asir-4876	232	10	𝜃𝑑𝜃.	𝜃𝑑𝜃.	NOUN
asir-4876	233	1	𝜋	𝜋	NOUN
asir-4876	233	2	2⁄	2⁄	NUM
asir-4876	233	3	0	0	NUM
asir-4876	234	1	this	this	DET
asir-4876	234	2	result	result	NOUN
asir-4876	234	3	is	be	AUX
asir-4876	234	4	easy	easy	ADJ
asir-4876	234	5	to	to	PART
asir-4876	234	6	verify	verify	VERB
asir-4876	234	7	and	and	CCONJ
asir-4876	234	8	confirm	confirm	VERB
asir-4876	234	9	by	by	ADP
asir-4876	234	10	a	a	DET
asir-4876	234	11	well	well	ADV
asir-4876	234	12	-	-	PUNCT
asir-4876	234	13	known	know	VERB
asir-4876	234	14	example	example	NOUN
asir-4876	234	15	.	.	PUNCT
asir-4876	235	1	in	in	ADP
asir-4876	235	2	accordance	accordance	NOUN
asir-4876	235	3	with	with	ADP
asir-4876	235	4	the	the	DET
asir-4876	235	5	above	above	ADJ
asir-4876	235	6	expressions	expression	NOUN
asir-4876	235	7	,	,	PUNCT
asir-4876	235	8	the	the	DET
asir-4876	235	9	radiation	radiation	NOUN
asir-4876	235	10	resistance	resistance	NOUN
asir-4876	235	11	of	of	ADP
asir-4876	235	12	the	the	DET
asir-4876	235	13	antenna	antenna	NOUN
asir-4876	235	14	is	be	AUX
asir-4876	235	15	𝑅ς	𝑅ς	ADP
asir-4876	235	16	=	=	SYM
asir-4876	235	17	4𝜋𝑅0	4𝜋𝑅0	NUM
asir-4876	235	18	2	2	NUM
asir-4876	235	19	∫	∫	NOUN
asir-4876	235	20	𝐸𝜃	𝐸𝜃	PROPN
asir-4876	235	21	2	2	NUM
asir-4876	235	22	𝑍0𝐽𝐴	𝑍0𝐽𝐴	NUM
asir-4876	235	23	2(0	2(0	NUM
asir-4876	235	24	)	)	PUNCT
asir-4876	235	25	𝜋	𝜋	NOUN
asir-4876	235	26	2⁄	2⁄	NUM
asir-4876	235	27	0	0	NUM
asir-4876	235	28	sin𝜃𝑑𝜃	sin𝜃𝑑𝜃	NOUN
asir-4876	235	29	=	=	SYM
asir-4876	235	30	𝑅0	𝑅0	PROPN
asir-4876	235	31	2	2	NUM
asir-4876	235	32	∫	∫	NOUN
asir-4876	235	33	𝐸𝜃	𝐸𝜃	PROPN
asir-4876	235	34	2(𝜋	2(𝜋	NUM
asir-4876	235	35	2⁄	2⁄	NUM
asir-4876	235	36	)	)	PUNCT
asir-4876	235	37	30𝐽𝐴	30𝐽𝐴	NUM
asir-4876	235	38	2(0	2(0	NUM
asir-4876	235	39	)	)	PUNCT
asir-4876	235	40	sin3𝜃𝑑𝜃.	sin3𝜃𝑑𝜃.	NOUN
asir-4876	235	41	𝜋	𝜋	NOUN
asir-4876	235	42	2⁄	2⁄	NUM
asir-4876	235	43	0	0	NUM
asir-4876	235	44	(	(	PUNCT
asir-4876	235	45	10	10	NUM
asir-4876	235	46	)	)	PUNCT
asir-4876	235	47	the	the	DET
asir-4876	235	48	effective	effective	ADJ
asir-4876	235	49	length	length	NOUN
asir-4876	235	50	of	of	ADP
asir-4876	235	51	a	a	DET
asir-4876	235	52	dipole	dipole	NOUN
asir-4876	235	53	with	with	ADP
asir-4876	235	54	an	an	DET
asir-4876	235	55	arm	arm	NOUN
asir-4876	235	56	length	length	NOUN
asir-4876	235	57	𝐿	𝐿	PROPN
asir-4876	235	58	=	=	PROPN
asir-4876	235	59	𝜆	𝜆	DET
asir-4876	235	60	4⁄	4⁄	PROPN
asir-4876	235	61	is	be	AUX
asir-4876	235	62	equal	equal	ADJ
asir-4876	235	63	to	to	ADP
asir-4876	235	64	𝑙𝑒	𝑙𝑒	PROPN
asir-4876	235	65	=	=	SYM
asir-4876	235	66	2	2	NUM
asir-4876	235	67	𝑘,⁄	𝑘,⁄	NUM
asir-4876	235	68	i.e.	i.e.	X
asir-4876	235	69	,	,	PUNCT
asir-4876	235	70	in	in	ADP
asir-4876	235	71	the	the	DET
asir-4876	235	72	horizontal	horizontal	ADJ
asir-4876	235	73	direction	direction	NOUN
asir-4876	235	74	𝐸𝜃(𝜋	𝐸𝜃(𝜋	ADP
asir-4876	235	75	2⁄	2⁄	NUM
asir-4876	235	76	)	)	PUNCT
asir-4876	235	77	𝑅0	𝑅0	NOUN
asir-4876	235	78	=	=	SYM
asir-4876	235	79	60	60	NUM
asir-4876	235	80	,	,	PUNCT
asir-4876	235	81	and	and	CCONJ
asir-4876	235	82	we	we	PRON
asir-4876	235	83	obtain	obtain	VERB
asir-4876	235	84	the	the	DET
asir-4876	235	85	well	well	ADV
asir-4876	235	86	-	-	PUNCT
asir-4876	235	87	known	know	VERB
asir-4876	235	88	value	value	NOUN
asir-4876	235	89	of	of	ADP
asir-4876	235	90	𝑅ς	𝑅ς	NOUN
asir-4876	235	91	:	:	PUNCT
asir-4876	235	92	𝑅ς	𝑅ς	PROPN
asir-4876	235	93	=	=	SYM
asir-4876	235	94	120∫	120∫	NUM
asir-4876	235	95	sin3𝜃𝑑𝜃	sin3𝜃𝑑𝜃	NOUN
asir-4876	235	96	=	=	NOUN
asir-4876	235	97	120	120	NUM
asir-4876	235	98	∙	∙	PROPN
asir-4876	235	99	2	2	NUM
asir-4876	235	100	3	3	NUM
asir-4876	235	101	=	=	SYM
asir-4876	235	102	80	80	NUM
asir-4876	235	103	𝜋	𝜋	NOUN
asir-4876	235	104	2⁄	2⁄	NUM
asir-4876	235	105	0	0	NUM
asir-4876	235	106	0hm	0hm	ADJ
asir-4876	235	107	.	.	PUNCT
asir-4876	236	1	in	in	ADP
asir-4876	236	2	accordance	accordance	NOUN
asir-4876	236	3	with	with	ADP
asir-4876	236	4	this	this	DET
asir-4876	236	5	technique	technique	NOUN
asir-4876	236	6	,	,	PUNCT
asir-4876	236	7	we	we	PRON
asir-4876	236	8	will	will	AUX
asir-4876	236	9	consider	consider	VERB
asir-4876	236	10	different	different	ADJ
asir-4876	236	11	options	option	NOUN
asir-4876	236	12	of	of	ADP
asir-4876	236	13	current	current	ADJ
asir-4876	236	14	distribution	distribution	NOUN
asir-4876	236	15	along	along	ADP
asir-4876	236	16	the	the	DET
asir-4876	236	17	radiator	radiator	NOUN
asir-4876	236	18	.	.	PUNCT
asir-4876	237	1	let	let	VERB
asir-4876	237	2	’s	’s	PRON
asir-4876	237	3	start	start	VERB
asir-4876	237	4	with	with	ADP
asir-4876	237	5	the	the	DET
asir-4876	237	6	usual	usual	ADJ
asir-4876	237	7	sinusoidal	sinusoidal	ADJ
asir-4876	237	8	distribution	distribution	NOUN
asir-4876	237	9	.	.	PUNCT
asir-4876	238	1	in	in	ADP
asir-4876	238	2	this	this	DET
asir-4876	238	3	case	case	NOUN
asir-4876	238	4	the	the	DET
asir-4876	238	5	electric	electric	ADJ
asir-4876	238	6	field	field	NOUN
asir-4876	238	7	of	of	ADP
asir-4876	238	8	a	a	DET
asir-4876	238	9	symmetrical	symmetrical	ADJ
asir-4876	238	10	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-4876	238	11	applied	apply	VERB
asir-4876	238	12	science	science	NOUN
asir-4876	238	13	and	and	CCONJ
asir-4876	238	14	innovative	innovative	ADJ
asir-4876	238	15	research	research	NOUN
asir-4876	238	16	vol	vol	NOUN
asir-4876	238	17	.	.	PROPN
asir-4876	239	1	6	6	NUM
asir-4876	239	2	,	,	PUNCT
asir-4876	239	3	no	no	INTJ
asir-4876	239	4	.	.	NOUN
asir-4876	239	5	3	3	NUM
asir-4876	239	6	,	,	PUNCT
asir-4876	239	7	2022	2022	NUM
asir-4876	239	8	14	14	NUM
asir-4876	239	9	published	publish	VERB
asir-4876	239	10	by	by	ADP
asir-4876	239	11	scholink	scholink	PROPN
asir-4876	239	12	inc	inc	PROPN
asir-4876	239	13	.	.	PROPN
asir-4876	240	1	linear	linear	PROPN
asir-4876	240	2	radiator	radiator	NOUN
asir-4876	240	3	is	be	AUX
asir-4876	240	4	𝐸𝜃	𝐸𝜃	PROPN
asir-4876	240	5	=	=	PUNCT
asir-4876	240	6	𝑗	𝑗	PROPN
asir-4876	240	7	60𝐽𝐴(0	60𝐽𝐴(0	NUM
asir-4876	240	8	)	)	PUNCT
asir-4876	240	9	sin𝑘𝐿	sin𝑘𝐿	PROPN
asir-4876	240	10	cos(𝑘𝐿	cos(𝑘𝐿	ADJ
asir-4876	240	11	cos𝜃)−𝑐𝑜𝑠𝑘𝐿	cos𝜃)−𝑐𝑜𝑠𝑘𝐿	PROPN
asir-4876	240	12	sin𝜃	sin𝜃	ADV
asir-4876	240	13	𝑒𝑥𝑝(−𝑗𝑘𝑅0	𝑒𝑥𝑝(−𝑗𝑘𝑅0	PROPN
asir-4876	240	14	)	)	PUNCT
asir-4876	240	15	𝜀𝑟𝑅0	𝜀𝑟𝑅0	PROPN
asir-4876	240	16	.	.	PUNCT
asir-4876	241	1	(	(	PUNCT
asir-4876	241	2	11	11	NUM
asir-4876	241	3	)	)	PUNCT
asir-4876	241	4	in	in	ADP
asir-4876	241	5	the	the	DET
asir-4876	241	6	horizontal	horizontal	ADJ
asir-4876	241	7	direction	direction	NOUN
asir-4876	241	8	,	,	PUNCT
asir-4876	241	9	the	the	DET
asir-4876	241	10	field	field	NOUN
asir-4876	241	11	is	be	AUX
asir-4876	241	12	equal	equal	ADJ
asir-4876	241	13	to	to	ADP
asir-4876	241	14	𝐸𝜃(𝜋	𝐸𝜃(𝜋	ADP
asir-4876	241	15	2⁄	2⁄	NUM
asir-4876	241	16	)	)	PUNCT
asir-4876	242	1	=	=	SYM
asir-4876	242	2	𝑗60𝐽𝐴(0	𝑗60𝐽𝐴(0	X
asir-4876	242	3	)	)	PUNCT
asir-4876	242	4	1−𝑐𝑜𝑠𝑘𝐿	1−𝑐𝑜𝑠𝑘𝐿	NUM
asir-4876	242	5	sin	sin	NOUN
asir-4876	242	6	𝑘𝐿	𝑘𝐿	NOUN
asir-4876	242	7	𝑒𝑥𝑝(−𝑗𝑘𝑅0	𝑒𝑥𝑝(−𝑗𝑘𝑅0	NOUN
asir-4876	242	8	)	)	PUNCT
asir-4876	242	9	𝜀𝑟𝑅0	𝜀𝑟𝑅0	PROPN
asir-4876	242	10	=	=	PUNCT
asir-4876	242	11	𝑗30𝐽𝐴(0)𝑘𝑙𝑒	𝑗30𝐽𝐴(0)𝑘𝑙𝑒	X
asir-4876	242	12	𝜀𝑟𝑅0	𝜀𝑟𝑅0	PROPN
asir-4876	242	13	.	.	PUNCT
asir-4876	243	1	in	in	ADP
asir-4876	243	2	this	this	DET
asir-4876	243	3	case	case	NOUN
asir-4876	243	4	the	the	DET
asir-4876	243	5	value	value	NOUN
asir-4876	243	6	𝑙𝑒	𝑙𝑒	NOUN
asir-4876	243	7	,	,	PUNCT
asir-4876	243	8	which	which	PRON
asir-4876	243	9	proceeding	proceed	VERB
asir-4876	243	10	from	from	ADP
asir-4876	243	11	the	the	DET
asir-4876	243	12	analogy	analogy	NOUN
asir-4876	243	13	with	with	ADP
asir-4876	243	14	the	the	DET
asir-4876	243	15	value	value	NOUN
asir-4876	243	16	2l	2l	NOUN
asir-4876	243	17	in	in	ADP
asir-4876	243	18	expression	expression	NOUN
asir-4876	243	19	for	for	ADP
asir-4876	243	20	the	the	DET
asir-4876	243	21	field	field	NOUN
asir-4876	243	22	of	of	ADP
asir-4876	243	23	an	an	DET
asir-4876	243	24	elementary	elementary	ADJ
asir-4876	243	25	dipole	dipole	NOUN
asir-4876	243	26	is	be	AUX
asir-4876	243	27	called	call	VERB
asir-4876	243	28	the	the	DET
asir-4876	243	29	equivalent	equivalent	ADJ
asir-4876	243	30	effective	effective	ADJ
asir-4876	243	31	length	length	NOUN
asir-4876	243	32	,	,	PUNCT
asir-4876	243	33	is	be	AUX
asir-4876	243	34	𝑙𝑒	𝑙𝑒	NOUN
asir-4876	243	35	=	=	SYM
asir-4876	243	36	2	2	NUM
asir-4876	243	37	𝑘	𝑘	PRON
asir-4876	243	38	tan	tan	PROPN
asir-4876	243	39	𝑘𝐿	𝑘𝐿	NOUN
asir-4876	243	40	2	2	NUM
asir-4876	243	41	.	.	PUNCT
asir-4876	244	1	and	and	CCONJ
asir-4876	244	2	in	in	ADP
asir-4876	244	3	accordance	accordance	NOUN
asir-4876	244	4	with	with	ADP
asir-4876	244	5	(	(	PUNCT
asir-4876	244	6	10	10	NUM
asir-4876	244	7	)	)	PUNCT
asir-4876	244	8	and	and	CCONJ
asir-4876	244	9	(	(	PUNCT
asir-4876	244	10	11	11	X
asir-4876	244	11	)	)	PUNCT
asir-4876	244	12	we	we	PRON
asir-4876	244	13	get	get	VERB
asir-4876	244	14	𝑅ς	𝑅ς	ADP
asir-4876	244	15	=	=	SYM
asir-4876	244	16	20𝑘2𝑙𝑒	20𝑘2𝑙𝑒	NUM
asir-4876	244	17	2	2	NUM
asir-4876	244	18	.	.	PUNCT
asir-4876	245	1	(	(	PUNCT
asir-4876	245	2	12	12	NUM
asir-4876	245	3	)	)	PUNCT
asir-4876	245	4	when	when	SCONJ
asir-4876	245	5	𝐿	𝐿	PROPN
asir-4876	245	6	>	>	X
asir-4876	245	7	𝜆	𝜆	PROPN
asir-4876	245	8	4,⁄	4,⁄	NOUN
asir-4876	245	9	the	the	DET
asir-4876	245	10	value	value	NOUN
asir-4876	245	11	𝑅ς	𝑅ς	PROPN
asir-4876	245	12	grows	grow	VERB
asir-4876	245	13	with	with	ADP
asir-4876	245	14	increasing	increase	VERB
asir-4876	245	15	l	l	NOUN
asir-4876	245	16	,	,	PUNCT
asir-4876	245	17	but	but	CCONJ
asir-4876	245	18	the	the	DET
asir-4876	245	19	expression	expression	NOUN
asir-4876	245	20	(	(	PUNCT
asir-4876	245	21	12	12	NUM
asir-4876	245	22	)	)	PUNCT
asir-4876	245	23	becomes	become	VERB
asir-4876	245	24	very	very	ADV
asir-4876	245	25	approximate	approximate	ADJ
asir-4876	245	26	.	.	PUNCT
asir-4876	246	1	along	along	ADP
asir-4876	246	2	with	with	ADP
asir-4876	246	3	the	the	DET
asir-4876	246	4	growth	growth	NOUN
asir-4876	246	5	of	of	ADP
asir-4876	246	6	𝑅ς	𝑅ς	ADP
asir-4876	246	7	the	the	DET
asir-4876	246	8	reactive	reactive	ADJ
asir-4876	246	9	component	component	NOUN
asir-4876	246	10	of	of	ADP
asir-4876	246	11	the	the	DET
asir-4876	246	12	input	input	NOUN
asir-4876	246	13	impedance	impedance	NOUN
asir-4876	246	14	increases	increase	NOUN
asir-4876	246	15	,	,	PUNCT
asir-4876	246	16	and	and	CCONJ
asir-4876	246	17	the	the	DET
asir-4876	246	18	input	input	NOUN
asir-4876	246	19	current	current	NOUN
asir-4876	246	20	of	of	ADP
asir-4876	246	21	the	the	DET
asir-4876	246	22	antenna	antenna	NOUN
asir-4876	246	23	decreases	decrease	VERB
asir-4876	246	24	.	.	PUNCT
asir-4876	247	1	at	at	ADP
asir-4876	247	2	𝐿	𝐿	PROPN
asir-4876	247	3	>	>	X
asir-4876	247	4	𝜆	𝜆	PRON
asir-4876	247	5	2⁄	2⁄	NUM
asir-4876	247	6	𝑅ς	𝑅ς	PRON
asir-4876	247	7	begins	begin	VERB
asir-4876	247	8	to	to	PART
asir-4876	247	9	decrease	decrease	VERB
asir-4876	247	10	,	,	PUNCT
asir-4876	247	11	since	since	SCONJ
asir-4876	247	12	segments	segment	NOUN
asir-4876	247	13	with	with	ADP
asir-4876	247	14	anti	anti	ADJ
asir-4876	247	15	-	-	ADJ
asir-4876	247	16	phase	phase	ADJ
asir-4876	247	17	current	current	NOUN
asir-4876	247	18	appear	appear	VERB
asir-4876	247	19	along	along	ADP
asir-4876	247	20	the	the	DET
asir-4876	247	21	antenna	antenna	NOUN
asir-4876	247	22	.	.	PUNCT
asir-4876	248	1	at	at	ADP
asir-4876	248	2	𝐿	𝐿	PROPN
asir-4876	248	3	>	>	X
asir-4876	248	4	𝜆	𝜆	ADP
asir-4876	248	5	4	4	NUM
asir-4876	248	6	the	the	DET
asir-4876	248	7	directivity	directivity	PROPN
asir-4876	248	8	d	d	PROPN
asir-4876	248	9	starts	start	VERB
asir-4876	248	10	to	to	PART
asir-4876	248	11	grow	grow	VERB
asir-4876	248	12	.	.	PUNCT
asir-4876	249	1	but	but	CCONJ
asir-4876	249	2	an	an	DET
asir-4876	249	3	increase	increase	NOUN
asir-4876	249	4	of	of	ADP
asir-4876	249	5	d	d	NOUN
asir-4876	249	6	can	can	AUX
asir-4876	249	7	lead	lead	VERB
asir-4876	249	8	to	to	ADP
asir-4876	249	9	a	a	DET
asir-4876	249	10	decrease	decrease	NOUN
asir-4876	249	11	in	in	ADP
asir-4876	249	12	a	a	DET
asir-4876	249	13	communication	communication	NOUN
asir-4876	249	14	range	range	NOUN
asir-4876	249	15	,	,	PUNCT
asir-4876	249	16	if	if	SCONJ
asir-4876	249	17	the	the	DET
asir-4876	249	18	signal	signal	NOUN
asir-4876	249	19	in	in	ADP
asir-4876	249	20	a	a	DET
asir-4876	249	21	horizontal	horizontal	ADJ
asir-4876	249	22	direction	direction	NOUN
asir-4876	249	23	decreases	decrease	VERB
asir-4876	249	24	.	.	PUNCT
asir-4876	250	1	the	the	DET
asir-4876	250	2	pattern	pattern	NOUN
asir-4876	250	3	factor	factor	NOUN
asir-4876	250	4	pf	pf	PROPN
asir-4876	250	5	was	be	AUX
asir-4876	250	6	introduced	introduce	VERB
asir-4876	250	7	as	as	ADP
asir-4876	250	8	an	an	DET
asir-4876	250	9	indicator	indicator	NOUN
asir-4876	250	10	of	of	ADP
asir-4876	250	11	such	such	DET
asir-4876	250	12	a	a	DET
asir-4876	250	13	result	result	NOUN
asir-4876	250	14	.	.	PUNCT
asir-4876	251	1	it	it	PRON
asir-4876	251	2	is	be	AUX
asir-4876	251	3	equal	equal	ADJ
asir-4876	251	4	to	to	ADP
asir-4876	251	5	the	the	DET
asir-4876	251	6	average	average	ADJ
asir-4876	251	7	level	level	NOUN
asir-4876	251	8	of	of	ADP
asir-4876	251	9	radiation	radiation	NOUN
asir-4876	251	10	under	under	ADP
asir-4876	251	11	angles	angle	NOUN
asir-4876	251	12	θ	θ	NOUN
asir-4876	251	13	from	from	ADP
asir-4876	251	14	60	60	NUM
asir-4876	251	15	°	°	NOUN
asir-4876	251	16	to	to	ADP
asir-4876	251	17	90	90	NUM
asir-4876	251	18	°	°	NOUN
asir-4876	251	19	.	.	PUNCT
asir-4876	252	1	when	when	SCONJ
asir-4876	252	2	𝐿	𝐿	PROPN
asir-4876	252	3	<	<	X
asir-4876	252	4	𝜆	𝜆	PROPN
asir-4876	252	5	4,⁄	4,⁄	PROPN
asir-4876	252	6	𝑃𝐹1	𝑃𝐹1	PROPN
asir-4876	252	7	=	=	SYM
asir-4876	252	8	∫	∫	PROPN
asir-4876	252	9	sin	sin	PROPN
asir-4876	252	10	𝜃𝑑𝜃	𝜃𝑑𝜃	X
asir-4876	252	11	=	=	SYM
asir-4876	252	12	0.5	0.5	NUM
asir-4876	252	13	.	.	PUNCT
asir-4876	253	1	𝜋	𝜋	NOUN
asir-4876	253	2	2⁄	2⁄	NUM
asir-4876	253	3	𝜋	𝜋	NOUN
asir-4876	253	4	3⁄	3⁄	NUM
asir-4876	253	5	with	with	ADP
asir-4876	253	6	growth	growth	NOUN
asir-4876	253	7	of	of	ADP
asir-4876	253	8	l	l	NOUN
asir-4876	253	9	this	this	DET
asir-4876	253	10	factor	factor	NOUN
asir-4876	253	11	begins	begin	VERB
asir-4876	253	12	to	to	PART
asir-4876	253	13	decrease	decrease	VERB
asir-4876	253	14	,	,	PUNCT
asir-4876	253	15	sharply	sharply	ADV
asir-4876	253	16	limiting	limit	VERB
asir-4876	253	17	the	the	DET
asir-4876	253	18	operation	operation	NOUN
asir-4876	253	19	range	range	NOUN
asir-4876	253	20	of	of	ADP
asir-4876	253	21	frequencies	frequency	NOUN
asir-4876	253	22	.	.	PUNCT
asir-4876	254	1	in	in	ADP
asir-4876	254	2	a	a	DET
asir-4876	254	3	linear	linear	ADJ
asir-4876	254	4	antenna	antenna	NOUN
asir-4876	254	5	with	with	ADP
asir-4876	254	6	a	a	DET
asir-4876	254	7	constant	constant	ADJ
asir-4876	254	8	surface	surface	NOUN
asir-4876	254	9	impedance	impedance	NOUN
asir-4876	254	10	of	of	ADP
asir-4876	254	11	an	an	DET
asir-4876	254	12	inductive	inductive	ADJ
asir-4876	254	13	nature	nature	NOUN
asir-4876	254	14	,	,	PUNCT
asir-4876	254	15	the	the	DET
asir-4876	254	16	current	current	ADJ
asir-4876	254	17	distribution	distribution	NOUN
asir-4876	254	18	remains	remain	VERB
asir-4876	254	19	sinusoidal	sinusoidal	ADJ
asir-4876	254	20	,	,	PUNCT
asir-4876	254	21	but	but	CCONJ
asir-4876	254	22	the	the	DET
asir-4876	254	23	wave	wave	NOUN
asir-4876	254	24	slows	slow	VERB
asir-4876	254	25	down	down	ADP
asir-4876	254	26	,	,	PUNCT
asir-4876	254	27	and	and	CCONJ
asir-4876	254	28	the	the	DET
asir-4876	254	29	propagation	propagation	NOUN
asir-4876	254	30	constant	constant	ADJ
asir-4876	254	31	𝑘1	𝑘1	ADJ
asir-4876	254	32	increases	increase	NOUN
asir-4876	254	33	.	.	PUNCT
asir-4876	255	1	calculations	calculation	NOUN
asir-4876	255	2	show	show	VERB
asir-4876	255	3	that	that	SCONJ
asir-4876	255	4	for	for	ADP
asir-4876	255	5	the	the	DET
asir-4876	255	6	same	same	ADJ
asir-4876	255	7	geometric	geometric	ADJ
asir-4876	255	8	length	length	NOUN
asir-4876	255	9	,	,	PUNCT
asir-4876	255	10	the	the	DET
asir-4876	255	11	radiation	radiation	NOUN
asir-4876	255	12	resistance	resistance	NOUN
asir-4876	255	13	of	of	ADP
asir-4876	255	14	an	an	DET
asir-4876	255	15	antenna	antenna	NOUN
asir-4876	255	16	with	with	ADP
asir-4876	255	17	a	a	DET
asir-4876	255	18	constant	constant	ADJ
asir-4876	255	19	inductive	inductive	ADJ
asir-4876	255	20	impedance	impedance	NOUN
asir-4876	255	21	is	be	AUX
asir-4876	255	22	somewhat	somewhat	ADV
asir-4876	255	23	greater	great	ADJ
asir-4876	255	24	than	than	ADP
asir-4876	255	25	the	the	DET
asir-4876	255	26	radiation	radiation	NOUN
asir-4876	255	27	resistance	resistance	NOUN
asir-4876	255	28	of	of	ADP
asir-4876	255	29	a	a	DET
asir-4876	255	30	metal	metal	NOUN
asir-4876	255	31	antenna	antenna	NOUN
asir-4876	255	32	,	,	PUNCT
asir-4876	255	33	and	and	CCONJ
asir-4876	255	34	for	for	ADP
asir-4876	255	35	the	the	DET
asir-4876	255	36	same	same	ADJ
asir-4876	255	37	electrical	electrical	ADJ
asir-4876	255	38	length	length	NOUN
asir-4876	255	39	,	,	PUNCT
asir-4876	255	40	it	it	PRON
asir-4876	255	41	is	be	AUX
asir-4876	255	42	much	much	ADV
asir-4876	255	43	less	less	ADJ
asir-4876	255	44	.	.	PUNCT
asir-4876	256	1	in	in	ADP
asir-4876	256	2	-	-	PUNCT
asir-4876	256	3	phase	phase	NOUN
asir-4876	256	4	current	current	ADJ
asir-4876	256	5	distributions	distribution	NOUN
asir-4876	256	6	created	create	VERB
asir-4876	256	7	by	by	ADP
asir-4876	256	8	capacitive	capacitive	ADJ
asir-4876	256	9	loads	load	NOUN
asir-4876	256	10	connected	connect	VERB
asir-4876	256	11	at	at	ADP
asir-4876	256	12	regular	regular	ADJ
asir-4876	256	13	intervals	interval	NOUN
asir-4876	256	14	along	along	ADP
asir-4876	256	15	the	the	DET
asir-4876	256	16	entire	entire	ADJ
asir-4876	256	17	length	length	NOUN
asir-4876	256	18	of	of	ADP
asir-4876	256	19	the	the	DET
asir-4876	256	20	antenna	antenna	NOUN
asir-4876	256	21	are	be	AUX
asir-4876	256	22	of	of	ADP
asir-4876	256	23	particular	particular	ADJ
asir-4876	256	24	interest	interest	NOUN
asir-4876	256	25	.	.	PUNCT
asir-4876	257	1	in	in	ADP
asir-4876	257	2	the	the	DET
asir-4876	257	3	case	case	NOUN
asir-4876	257	4	of	of	ADP
asir-4876	257	5	a	a	DET
asir-4876	257	6	linear	linear	ADJ
asir-4876	257	7	distribution	distribution	NOUN
asir-4876	257	8	,	,	PUNCT
asir-4876	257	9	the	the	DET
asir-4876	257	10	current	current	ADJ
asir-4876	257	11	amplitude	amplitude	NOUN
asir-4876	257	12	decreases	decrease	VERB
asir-4876	257	13	uniformly	uniformly	ADV
asir-4876	257	14	from	from	ADP
asir-4876	257	15	the	the	DET
asir-4876	257	16	generator	generator	NOUN
asir-4876	257	17	to	to	ADP
asir-4876	257	18	the	the	DET
asir-4876	257	19	free	free	ADJ
asir-4876	257	20	ends	end	NOUN
asir-4876	257	21	of	of	ADP
asir-4876	257	22	the	the	DET
asir-4876	257	23	radiator	radiator	NOUN
asir-4876	257	24	.	.	PUNCT
asir-4876	258	1	the	the	DET
asir-4876	258	2	electric	electric	ADJ
asir-4876	258	3	field	field	NOUN
asir-4876	258	4	of	of	ADP
asir-4876	258	5	a	a	DET
asir-4876	258	6	vertical	vertical	ADJ
asir-4876	258	7	antenna	antenna	NOUN
asir-4876	258	8	with	with	ADP
asir-4876	258	9	allowance	allowance	NOUN
asir-4876	258	10	for	for	ADP
asir-4876	258	11	the	the	DET
asir-4876	258	12	mutual	mutual	ADJ
asir-4876	258	13	compensation	compensation	NOUN
asir-4876	258	14	of	of	ADP
asir-4876	258	15	components	component	NOUN
asir-4876	258	16	whose	whose	DET
asir-4876	258	17	signs	sign	NOUN
asir-4876	258	18	are	be	AUX
asir-4876	258	19	opposite	opposite	ADJ
asir-4876	258	20	in	in	ADP
asir-4876	258	21	different	different	ADJ
asir-4876	258	22	arms	arm	NOUN
asir-4876	258	23	of	of	ADP
asir-4876	258	24	a	a	DET
asir-4876	258	25	symmetrical	symmetrical	ADJ
asir-4876	258	26	radiator	radiator	NOUN
asir-4876	258	27	is	be	AUX
asir-4876	258	28	calculated	calculate	VERB
asir-4876	258	29	as	as	ADP
asir-4876	258	30	𝐸𝜃	𝐸𝜃	PROPN
asir-4876	258	31	=	=	PUNCT
asir-4876	258	32	𝑗30𝑘	𝑗30𝑘	PROPN
asir-4876	258	33	𝐽𝐴(0	𝐽𝐴(0	ADJ
asir-4876	258	34	)	)	PUNCT
asir-4876	258	35	sin	sin	NOUN
asir-4876	258	36	𝜃	𝜃	NOUN
asir-4876	258	37	𝑒𝑥𝑝(−𝑗𝑘𝑅0	𝑒𝑥𝑝(−𝑗𝑘𝑅0	NOUN
asir-4876	258	38	)	)	PUNCT
asir-4876	258	39	(	(	PUNCT
asir-4876	258	40	𝜀𝑟𝑅0	𝜀𝑟𝑅0	PROPN
asir-4876	258	41	)	)	PUNCT
asir-4876	259	1	⁄	⁄	ADP
asir-4876	259	2	∙	∙	PROPN
asir-4876	259	3	∫	∫	PROPN
asir-4876	259	4	𝑓1(|𝑧|)𝑒𝑥𝑝(𝑗𝑘𝑧	𝑓1(|𝑧|)𝑒𝑥𝑝(𝑗𝑘𝑧	PROPN
asir-4876	259	5	cos	cos	ADP
asir-4876	259	6	𝜃)𝑑𝑧.	𝜃)𝑑𝑧.	PROPN
asir-4876	259	7	𝐿	𝐿	PROPN
asir-4876	259	8	−𝐿	−𝐿	PROPN
asir-4876	259	9	here	here	ADV
asir-4876	259	10	𝑓1(|𝑧|	𝑓1(|𝑧|	ADP
asir-4876	259	11	)	)	PUNCT
asir-4876	259	12	=	=	SYM
asir-4876	259	13	1	1	NUM
asir-4876	259	14	−	−	PROPN
asir-4876	259	15	|𝑧|	|𝑧|	PROPN
asir-4876	259	16	𝐿⁄	𝐿⁄	PROPN
asir-4876	259	17	is	be	AUX
asir-4876	259	18	a	a	DET
asir-4876	259	19	symmetric	symmetric	ADJ
asir-4876	259	20	function	function	NOUN
asir-4876	259	21	of	of	ADP
asir-4876	259	22	current	current	ADJ
asir-4876	259	23	distribution	distribution	NOUN
asir-4876	259	24	along	along	ADP
asir-4876	259	25	the	the	DET
asir-4876	259	26	radiator	radiator	NOUN
asir-4876	259	27	.	.	PUNCT
asir-4876	260	1	respectively	respectively	ADV
asir-4876	260	2	𝐸𝜃	𝐸𝜃	PROPN
asir-4876	260	3	=	=	PROPN
asir-4876	260	4	2𝐴∫	2𝐴∫	PROPN
asir-4876	260	5	(	(	PUNCT
asir-4876	260	6	1	1	NUM
asir-4876	260	7	−	−	NOUN
asir-4876	260	8	𝑧	𝑧	ADJ
asir-4876	260	9	𝐿⁄	𝐿⁄	X
asir-4876	260	10	)	)	PUNCT
asir-4876	260	11	cos(𝑘𝑧	cos(𝑘𝑧	NOUN
asir-4876	261	1	cos	cos	ADP
asir-4876	261	2	𝜃)𝑑𝑧	𝜃)𝑑𝑧	PROPN
asir-4876	261	3	,	,	PUNCT
asir-4876	261	4	𝐿	𝐿	PROPN
asir-4876	261	5	0	0	NUM
asir-4876	261	6	where	where	SCONJ
asir-4876	261	7	𝐴	𝐴	PROPN
asir-4876	261	8	=	=	PUNCT
asir-4876	261	9	𝑗30𝑘	𝑗30𝑘	PUNCT
asir-4876	261	10	𝐽𝐴(0	𝐽𝐴(0	ADJ
asir-4876	261	11	)	)	PUNCT
asir-4876	261	12	sin	sin	NOUN
asir-4876	261	13	𝜃	𝜃	NOUN
asir-4876	261	14	𝑒𝑥𝑝(−𝑗𝑘𝑅0	𝑒𝑥𝑝(−𝑗𝑘𝑅0	NOUN
asir-4876	261	15	)	)	PUNCT
asir-4876	261	16	(	(	PUNCT
asir-4876	261	17	𝜀𝑟𝑅0	𝜀𝑟𝑅0	PROPN
asir-4876	261	18	)	)	PUNCT
asir-4876	261	19	⁄	⁄	PROPN
asir-4876	261	20	.	.	PUNCT
asir-4876	262	1	as	as	ADP
asir-4876	262	2	a	a	DET
asir-4876	262	3	result	result	NOUN
asir-4876	262	4	of	of	ADP
asir-4876	262	5	integration	integration	NOUN
asir-4876	262	6	,	,	PUNCT
asir-4876	262	7	𝐸𝜃	𝐸𝜃	PROPN
asir-4876	262	8	=	=	PUNCT
asir-4876	262	9	2𝐴	2𝐴	PROPN
asir-4876	262	10	𝑘2𝐿𝑐𝑜𝑠2𝜃	𝑘2𝐿𝑐𝑜𝑠2𝜃	NOUN
asir-4876	263	1	[	[	X
asir-4876	263	2	1	1	NUM
asir-4876	263	3	−	−	PROPN
asir-4876	263	4	cos(𝑘𝐿	cos(𝑘𝐿	ADJ
asir-4876	263	5	cos	cos	PROPN
asir-4876	263	6	𝜃	𝜃	NOUN
asir-4876	263	7	)	)	PUNCT
asir-4876	263	8	]	]	PUNCT
asir-4876	263	9	.	.	PUNCT
asir-4876	264	1	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	PROPN
asir-4876	264	2	applied	apply	VERB
asir-4876	264	3	science	science	NOUN
asir-4876	264	4	and	and	CCONJ
asir-4876	264	5	innovative	innovative	ADJ
asir-4876	264	6	research	research	NOUN
asir-4876	264	7	vol	vol	NOUN
asir-4876	264	8	.	.	PROPN
asir-4876	265	1	6	6	NUM
asir-4876	265	2	,	,	PUNCT
asir-4876	265	3	no	no	INTJ
asir-4876	265	4	.	.	NOUN
asir-4876	265	5	3	3	NUM
asir-4876	265	6	,	,	PUNCT
asir-4876	265	7	2022	2022	NUM
asir-4876	265	8	15	15	NUM
asir-4876	265	9	published	publish	VERB
asir-4876	265	10	by	by	ADP
asir-4876	265	11	scholink	scholink	PROPN
asir-4876	265	12	inc	inc	PROPN
asir-4876	265	13	.	.	PUNCT
asir-4876	266	1	if	if	SCONJ
asir-4876	266	2	θ→0	θ→0	PROPN
asir-4876	266	3	,	,	PUNCT
asir-4876	266	4	and	and	CCONJ
asir-4876	266	5	1−cos(𝑘𝐿	1−cos(𝑘𝐿	NUM
asir-4876	266	6	cos𝜃	cos𝜃	NOUN
asir-4876	266	7	)	)	PUNCT
asir-4876	266	8	𝑐𝑜𝑠2𝜃	𝑐𝑜𝑠2𝜃	PUNCT
asir-4876	267	1	→	→	SYM
asir-4876	267	2	0.5𝑘2𝐿2	0.5𝑘2𝐿2	PROPN
asir-4876	267	3	,	,	PUNCT
asir-4876	267	4	we	we	PRON
asir-4876	267	5	get	get	VERB
asir-4876	267	6	𝐸𝜃(𝜋	𝐸𝜃(𝜋	ADP
asir-4876	267	7	2⁄	2⁄	NUM
asir-4876	267	8	)	)	PUNCT
asir-4876	267	9	=	=	SYM
asir-4876	267	10	𝑗30𝑘𝐿𝐽𝐴(0	𝑗30𝑘𝐿𝐽𝐴(0	NUM
asir-4876	267	11	)	)	PUNCT
asir-4876	267	12	𝑒𝑥𝑝(−𝑗𝑘𝑅0	𝑒𝑥𝑝(−𝑗𝑘𝑅0	NOUN
asir-4876	267	13	)	)	PUNCT
asir-4876	267	14	(	(	PUNCT
asir-4876	267	15	𝜀𝑟𝑅0	𝜀𝑟𝑅0	PROPN
asir-4876	267	16	)	)	PUNCT
asir-4876	268	1	⁄	⁄	PROPN
asir-4876	268	2	,	,	PUNCT
asir-4876	268	3	i.e.	i.e.	X
asir-4876	268	4	,	,	PUNCT
asir-4876	268	5	𝑅ς	𝑅ς	PROPN
asir-4876	268	6	=	=	SYM
asir-4876	268	7	20𝑘2𝐿2	20𝑘2𝐿2	NUM
asir-4876	268	8	.	.	PUNCT
asir-4876	269	1	in	in	ADP
asir-4876	269	2	this	this	DET
asir-4876	269	3	case	case	NOUN
asir-4876	269	4	,	,	PUNCT
asir-4876	269	5	in	in	ADP
asir-4876	269	6	contrast	contrast	NOUN
asir-4876	269	7	to	to	ADP
asir-4876	269	8	(	(	PUNCT
asir-4876	269	9	12	12	NUM
asir-4876	269	10	)	)	PUNCT
asir-4876	269	11	,	,	PUNCT
asir-4876	269	12	the	the	DET
asir-4876	269	13	value	value	NOUN
asir-4876	269	14	𝑅ς	𝑅ς	PRON
asir-4876	269	15	grows	grow	VERB
asir-4876	269	16	continuously	continuously	ADV
asir-4876	269	17	with	with	ADP
asir-4876	269	18	increasing	increase	VERB
asir-4876	269	19	l.	l.	NOUN
asir-4876	269	20	at	at	ADP
asir-4876	269	21	that	that	SCONJ
asir-4876	269	22	the	the	DET
asir-4876	269	23	values	value	NOUN
asir-4876	269	24	d	d	NOUN
asir-4876	269	25	and	and	CCONJ
asir-4876	269	26	pf	pf	PROPN
asir-4876	269	27	do	do	AUX
asir-4876	269	28	not	not	PART
asir-4876	269	29	change	change	VERB
asir-4876	269	30	,	,	PUNCT
asir-4876	269	31	i.e.	i.e.	X
asir-4876	269	32	,	,	PUNCT
asir-4876	269	33	with	with	ADP
asir-4876	269	34	an	an	DET
asir-4876	269	35	increase	increase	NOUN
asir-4876	269	36	in	in	ADP
asir-4876	269	37	the	the	DET
asir-4876	269	38	radiator	radiator	NOUN
asir-4876	269	39	length	length	NOUN
asir-4876	269	40	the	the	DET
asir-4876	269	41	field	field	NOUN
asir-4876	269	42	and	and	CCONJ
asir-4876	269	43	the	the	DET
asir-4876	269	44	radiation	radiation	NOUN
asir-4876	269	45	resistance	resistance	NOUN
asir-4876	269	46	grow	grow	VERB
asir-4876	269	47	within	within	ADP
asir-4876	269	48	the	the	DET
asir-4876	269	49	frequency	frequency	NOUN
asir-4876	269	50	band	band	NOUN
asir-4876	269	51	,	,	PUNCT
asir-4876	269	52	in	in	ADP
asir-4876	269	53	which	which	PRON
asir-4876	269	54	the	the	DET
asir-4876	269	55	in	in	ADP
asir-4876	269	56	-	-	PUNCT
asir-4876	269	57	phase	phase	NOUN
asir-4876	269	58	distribution	distribution	NOUN
asir-4876	269	59	is	be	AUX
asir-4876	269	60	preserved	preserve	VERB
asir-4876	269	61	.	.	PUNCT
asir-4876	270	1	in	in	ADP
asir-4876	270	2	the	the	DET
asir-4876	270	3	case	case	NOUN
asir-4876	270	4	of	of	ADP
asir-4876	270	5	an	an	DET
asir-4876	270	6	exponential	exponential	ADJ
asir-4876	270	7	in	in	ADP
asir-4876	270	8	-	-	PUNCT
asir-4876	270	9	phase	phase	NOUN
asir-4876	270	10	current	current	ADJ
asir-4876	270	11	distribution	distribution	NOUN
asir-4876	270	12	along	along	ADP
asir-4876	270	13	the	the	DET
asir-4876	270	14	radiator	radiator	NOUN
asir-4876	270	15	,	,	PUNCT
asir-4876	270	16	when	when	SCONJ
asir-4876	270	17	the	the	DET
asir-4876	270	18	distribution	distribution	NOUN
asir-4876	270	19	function	function	NOUN
asir-4876	270	20	is	be	AUX
asir-4876	270	21	equal	equal	ADJ
asir-4876	270	22	to	to	ADP
asir-4876	270	23	𝑓2(|𝑧|	𝑓2(|𝑧|	ADV
asir-4876	270	24	)	)	PUNCT
asir-4876	270	25	=	=	NOUN
asir-4876	270	26	𝑒−∝𝑧−𝑒−∝𝐿	𝑒−∝𝑧−𝑒−∝𝐿	NUM
asir-4876	270	27	1−𝑒−∝𝐿	1−𝑒−∝𝐿	NUM
asir-4876	270	28	,	,	PUNCT
asir-4876	270	29	the	the	DET
asir-4876	270	30	field	field	NOUN
asir-4876	270	31	is	be	AUX
asir-4876	270	32	𝐸𝜃	𝐸𝜃	PROPN
asir-4876	270	33	=	=	PUNCT
asir-4876	270	34	2𝐴	2𝐴	VERB
asir-4876	270	35	1	1	NUM
asir-4876	270	36	−	−	PROPN
asir-4876	270	37	𝑒−∝𝐿	𝑒−∝𝐿	X
asir-4876	270	38	∫	∫	NOUN
asir-4876	271	1	[	[	X
asir-4876	271	2	𝑒−∝𝑧	𝑒−∝𝑧	NUM
asir-4876	271	3	−	−	PUNCT
asir-4876	271	4	𝑒−∝𝐿	𝑒−∝𝐿	X
asir-4876	271	5	]	]	X
asir-4876	271	6	𝐿	𝐿	PROPN
asir-4876	271	7	0	0	NUM
asir-4876	271	8	cos(𝑘𝑧	cos(𝑘𝑧	NOUN
asir-4876	271	9	cos	cos	PROPN
asir-4876	271	10	𝜃)𝑑𝑧.	𝜃)𝑑𝑧.	PROPN
asir-4876	271	11	as	as	ADP
asir-4876	271	12	a	a	DET
asir-4876	271	13	result	result	NOUN
asir-4876	271	14	of	of	ADP
asir-4876	271	15	integration	integration	NOUN
asir-4876	271	16	,	,	PUNCT
asir-4876	271	17	we	we	PRON
asir-4876	271	18	find	find	VERB
asir-4876	271	19	𝐸𝜃	𝐸𝜃	PROPN
asir-4876	271	20	=	=	SYM
asir-4876	271	21	2𝐴	2𝐴	PROPN
asir-4876	271	22	∝	∝	PROPN
asir-4876	271	23	𝑘	𝑘	PROPN
asir-4876	271	24	cos	cos	PROPN
asir-4876	271	25	𝜃	𝜃	X
asir-4876	271	26	(	(	PUNCT
asir-4876	271	27	1	1	NUM
asir-4876	271	28	−	−	PROPN
asir-4876	271	29	𝑒−∝𝐿)(∝2	𝑒−∝𝐿)(∝2	PROPN
asir-4876	271	30	+	+	PROPN
asir-4876	271	31	𝑘2𝑐𝑜𝑠2𝜃)𝑘	𝑘2𝑐𝑜𝑠2𝜃)𝑘	PROPN
asir-4876	271	32	cos	cos	PROPN
asir-4876	271	33	𝜃	𝜃	X
asir-4876	271	34	∙	∙	X
asir-4876	271	35	{	{	PUNCT
asir-4876	271	36	1	1	NUM
asir-4876	271	37	−	−	PROPN
asir-4876	271	38	𝑒−∝𝐿[cos(𝑘𝐿	𝑒−∝𝐿[cos(𝑘𝐿	NOUN
asir-4876	271	39	cos	cos	NOUN
asir-4876	271	40	𝜃)+∝	𝜃)+∝	ADJ
asir-4876	271	41	sin(𝑘𝐿	sin(𝑘𝐿	ADJ
asir-4876	271	42	cos	cos	ADP
asir-4876	271	43	𝜃)/(𝑘	𝜃)/(𝑘	PROPN
asir-4876	271	44	cos	cos	PROPN
asir-4876	271	45	𝜃	𝜃	PROPN
asir-4876	271	46	)	)	PUNCT
asir-4876	271	47	]	]	PUNCT
asir-4876	271	48	}	}	PUNCT
asir-4876	271	49	.	.	PUNCT
asir-4876	272	1	if	if	SCONJ
asir-4876	272	2	∝	∝	PROPN
asir-4876	272	3	is	be	AUX
asir-4876	272	4	small	small	ADJ
asir-4876	272	5	,	,	PUNCT
asir-4876	272	6	𝐸𝜃	𝐸𝜃	PROPN
asir-4876	272	7	=	=	PUNCT
asir-4876	273	1	[	[	X
asir-4876	273	2	2𝐴	2𝐴	NOUN
asir-4876	273	3	(	(	PUNCT
asir-4876	273	4	𝑘2𝐿)𝑐𝑜𝑠2𝜃⁄	𝑘2𝐿)𝑐𝑜𝑠2𝜃⁄	X
asir-4876	273	5	]	]	X
asir-4876	273	6	[	[	X
asir-4876	273	7	1	1	NUM
asir-4876	273	8	−	−	PROPN
asir-4876	273	9	cos(𝑘𝐿	cos(𝑘𝐿	ADJ
asir-4876	273	10	cos	cos	PROPN
asir-4876	273	11	𝜃	𝜃	NOUN
asir-4876	273	12	)	)	PUNCT
asir-4876	273	13	]	]	PUNCT
asir-4876	273	14	.	.	PUNCT
asir-4876	274	1	as	as	SCONJ
asir-4876	274	2	θ→0	θ→0	PROPN
asir-4876	274	3	,	,	PUNCT
asir-4876	274	4	𝐸𝜃(𝜋	𝐸𝜃(𝜋	ADP
asir-4876	274	5	2⁄	2⁄	NUM
asir-4876	274	6	)	)	PUNCT
asir-4876	274	7	→	→	SYM
asir-4876	274	8	𝑗30𝑘𝐿𝐽𝐴(0	𝑗30𝑘𝐿𝐽𝐴(0	NUM
asir-4876	274	9	)	)	PUNCT
asir-4876	274	10	𝑒𝑥𝑝(−𝑗𝑘𝑅0	𝑒𝑥𝑝(−𝑗𝑘𝑅0	NOUN
asir-4876	274	11	)	)	PUNCT
asir-4876	274	12	𝜀𝑟𝑅0	𝜀𝑟𝑅0	PROPN
asir-4876	274	13	,	,	PUNCT
asir-4876	274	14	i.e.	i.e.	X
asir-4876	274	15	,	,	PUNCT
asir-4876	274	16	as	as	SCONJ
asir-4876	274	17	expected	expect	VERB
asir-4876	274	18	,	,	PUNCT
asir-4876	274	19	the	the	DET
asir-4876	274	20	value	value	NOUN
asir-4876	274	21	𝑅ς	𝑅ς	PROPN
asir-4876	274	22	coincides	coincide	VERB
asir-4876	274	23	with	with	ADP
asir-4876	274	24	(	(	PUNCT
asir-4876	274	25	11	11	NUM
asir-4876	274	26	)	)	PUNCT
asir-4876	274	27	.	.	PUNCT
asir-4876	275	1	if	if	SCONJ
asir-4876	275	2	∝	∝	PROPN
asir-4876	275	3	is	be	AUX
asir-4876	275	4	not	not	PART
asir-4876	275	5	small	small	ADJ
asir-4876	275	6	,	,	PUNCT
asir-4876	275	7	then	then	ADV
asir-4876	275	8	,	,	PUNCT
asir-4876	275	9	taking	take	VERB
asir-4876	275	10	into	into	ADP
asir-4876	275	11	account	account	NOUN
asir-4876	275	12	that	that	SCONJ
asir-4876	275	13	cos	cos	PROPN
asir-4876	275	14	(	(	PUNCT
asir-4876	275	15	𝑘𝐿	𝑘𝐿	NOUN
asir-4876	275	16	cos	cos	PROPN
asir-4876	275	17	𝜋	𝜋	NOUN
asir-4876	275	18	2	2	X
asir-4876	275	19	)	)	PUNCT
asir-4876	275	20	=	=	SYM
asir-4876	275	21	1	1	NUM
asir-4876	275	22	,	,	PUNCT
asir-4876	275	23	we	we	PRON
asir-4876	275	24	obtain	obtain	VERB
asir-4876	275	25	:	:	PUNCT
asir-4876	275	26	𝐸𝜃(𝜋	𝐸𝜃(𝜋	ADP
asir-4876	275	27	2⁄	2⁄	NUM
asir-4876	275	28	)	)	PUNCT
asir-4876	275	29	=	=	VERB
asir-4876	275	30	𝑗60	𝑗60	NOUN
asir-4876	275	31	𝑘	𝑘	PRON
asir-4876	275	32	∝	∝	PROPN
asir-4876	275	33	𝐽𝐴(0	𝐽𝐴(0	PROPN
asir-4876	275	34	)	)	PUNCT
asir-4876	275	35	𝑒𝑥𝑝(−𝑗𝑘𝑅0	𝑒𝑥𝑝(−𝑗𝑘𝑅0	NOUN
asir-4876	275	36	)	)	PUNCT
asir-4876	275	37	𝜀𝑟𝑅0	𝜀𝑟𝑅0	PROPN
asir-4876	275	38	,	,	PUNCT
asir-4876	275	39	and	and	CCONJ
asir-4876	275	40	therefore	therefore	ADV
asir-4876	275	41	𝑅ς	𝑅ς	PROPN
asir-4876	275	42	=	=	SYM
asir-4876	275	43	80𝑘2	80𝑘2	NUM
asir-4876	275	44	∝2⁄	∝2⁄	NOUN
asir-4876	275	45	.	.	PUNCT
asir-4876	276	1	(	(	PUNCT
asir-4876	276	2	13	13	NUM
asir-4876	276	3	)	)	PUNCT
asir-4876	276	4	figures	figure	NOUN
asir-4876	276	5	7	7	NUM
asir-4876	276	6	and	and	CCONJ
asir-4876	276	7	8	8	NUM
asir-4876	276	8	show	show	VERB
asir-4876	276	9	the	the	DET
asir-4876	276	10	results	result	NOUN
asir-4876	276	11	of	of	ADP
asir-4876	276	12	characteristics	characteristic	NOUN
asir-4876	276	13	calculating	calculate	VERB
asir-4876	276	14	for	for	ADP
asir-4876	276	15	asymmetrical	asymmetrical	ADJ
asir-4876	276	16	linear	linear	ADJ
asir-4876	276	17	metal	metal	NOUN
asir-4876	276	18	radiators	radiator	NOUN
asir-4876	276	19	(	(	PUNCT
asir-4876	276	20	monopoles	monopole	NOUN
asir-4876	276	21	)	)	PUNCT
asir-4876	276	22	with	with	ADP
asir-4876	276	23	the	the	DET
asir-4876	276	24	same	same	ADJ
asir-4876	276	25	dimensions	dimension	NOUN
asir-4876	276	26	depending	depend	VERB
asir-4876	276	27	on	on	ADP
asir-4876	276	28	the	the	DET
asir-4876	276	29	current	current	ADJ
asir-4876	276	30	distributions	distribution	NOUN
asir-4876	276	31	:	:	PUNCT
asir-4876	276	32	sinusoidal	sinusoidal	NOUN
asir-4876	276	33	(	(	PUNCT
asir-4876	276	34	1	1	NUM
asir-4876	276	35	)	)	PUNCT
asir-4876	276	36	,	,	PUNCT
asir-4876	276	37	in	in	ADP
asir-4876	276	38	-	-	PUNCT
asir-4876	276	39	phase	phase	NOUN
asir-4876	276	40	with	with	ADP
asir-4876	276	41	a	a	DET
asir-4876	276	42	linear	linear	ADJ
asir-4876	276	43	distribution	distribution	NOUN
asir-4876	276	44	(	(	PUNCT
asir-4876	276	45	2	2	NUM
asir-4876	276	46	)	)	PUNCT
asir-4876	276	47	,	,	PUNCT
asir-4876	276	48	in	in	ADP
asir-4876	276	49	-	-	PUNCT
asir-4876	276	50	phase	phase	NOUN
asir-4876	276	51	with	with	ADP
asir-4876	276	52	an	an	DET
asir-4876	276	53	exponential	exponential	ADJ
asir-4876	276	54	distribution	distribution	NOUN
asir-4876	276	55	at	at	ADP
asir-4876	276	56	∝=	∝=	NOUN
asir-4876	276	57	1	1	NUM
asir-4876	276	58	𝐿⁄	𝐿⁄	X
asir-4876	276	59	(	(	PUNCT
asir-4876	276	60	3	3	NUM
asir-4876	276	61	)	)	PUNCT
asir-4876	276	62	and	and	CCONJ
asir-4876	276	63	∝=	∝=	VERB
asir-4876	276	64	4	4	NUM
asir-4876	276	65	𝐿⁄	𝐿⁄	X
asir-4876	276	66	(	(	PUNCT
asir-4876	276	67	4	4	NUM
asir-4876	276	68	)	)	PUNCT
asir-4876	276	69	.	.	PUNCT
asir-4876	277	1	the	the	DET
asir-4876	277	2	radiators	radiator	NOUN
asir-4876	277	3	with	with	ADP
asir-4876	277	4	an	an	DET
asir-4876	277	5	arm	arm	NOUN
asir-4876	277	6	length	length	NOUN
asir-4876	277	7	1	1	NUM
asir-4876	277	8	m	m	NOUN
asir-4876	277	9	and	and	CCONJ
asir-4876	277	10	a	a	DET
asir-4876	277	11	radius	radius	NOUN
asir-4876	277	12	0.01	0.01	NUM
asir-4876	277	13	m	m	VERB
asir-4876	277	14	are	be	AUX
asir-4876	277	15	excited	excite	VERB
asir-4876	277	16	by	by	ADP
asir-4876	277	17	the	the	DET
asir-4876	277	18	cable	cable	NOUN
asir-4876	277	19	with	with	ADP
asir-4876	277	20	a	a	DET
asir-4876	277	21	wave	wave	NOUN
asir-4876	277	22	impedance	impedance	NOUN
asir-4876	277	23	60	60	NUM
asir-4876	277	24	ohm	ohm	NOUN
asir-4876	277	25	.	.	PUNCT
asir-4876	278	1	the	the	DET
asir-4876	278	2	fields	field	NOUN
asir-4876	278	3	and	and	CCONJ
asir-4876	278	4	the	the	DET
asir-4876	278	5	radiation	radiation	NOUN
asir-4876	278	6	resistances	resistance	NOUN
asir-4876	278	7	of	of	ADP
asir-4876	278	8	radiators	radiator	NOUN
asir-4876	278	9	are	be	AUX
asir-4876	278	10	given	give	VERB
asir-4876	278	11	correspondingly	correspondingly	ADV
asir-4876	278	12	on	on	ADP
asir-4876	278	13	figures	figure	NOUN
asir-4876	278	14	7a	7a	NUM
asir-4876	278	15	and	and	CCONJ
asir-4876	278	16	7b	7b	NUM
asir-4876	278	17	,	,	PUNCT
asir-4876	278	18	the	the	DET
asir-4876	278	19	reactive	reactive	ADJ
asir-4876	278	20	components	component	NOUN
asir-4876	278	21	of	of	ADP
asir-4876	278	22	input	input	NOUN
asir-4876	278	23	impedances	impedance	NOUN
asir-4876	278	24	for	for	ADP
asir-4876	278	25	different	different	ADJ
asir-4876	278	26	current	current	ADJ
asir-4876	278	27	distributions	distribution	NOUN
asir-4876	278	28	are	be	AUX
asir-4876	278	29	shown	show	VERB
asir-4876	278	30	on	on	ADP
asir-4876	278	31	figure	figure	NOUN
asir-4876	278	32	8a	8a	NUM
asir-4876	278	33	.	.	PUNCT
asir-4876	279	1	as	as	SCONJ
asir-4876	279	2	is	be	AUX
asir-4876	279	3	known	know	VERB
asir-4876	279	4	,	,	PUNCT
asir-4876	279	5	an	an	DET
asir-4876	279	6	operation	operation	NOUN
asir-4876	279	7	frequency	frequency	NOUN
asir-4876	279	8	band	band	NOUN
asir-4876	279	9	depends	depend	VERB
asir-4876	279	10	on	on	ADP
asir-4876	279	11	a	a	DET
asir-4876	279	12	level	level	NOUN
asir-4876	279	13	of	of	ADP
asir-4876	279	14	travelling	travel	VERB
asir-4876	279	15	wave	wave	NOUN
asir-4876	279	16	ratio	ratio	NOUN
asir-4876	279	17	(	(	PUNCT
asir-4876	279	18	twr	twr	PROPN
asir-4876	279	19	)	)	PUNCT
asir-4876	279	20	.	.	PUNCT
asir-4876	280	1	the	the	DET
asir-4876	280	2	magnitudes	magnitude	NOUN
asir-4876	280	3	of	of	ADP
asir-4876	280	4	twr	twr	PROPN
asir-4876	280	5	are	be	AUX
asir-4876	280	6	presented	present	VERB
asir-4876	280	7	in	in	ADP
asir-4876	280	8	figure	figure	NOUN
asir-4876	280	9	8b	8b	NUM
asir-4876	280	10	.	.	PUNCT
asir-4876	281	1	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	PROPN
asir-4876	281	2	applied	apply	VERB
asir-4876	281	3	science	science	NOUN
asir-4876	281	4	and	and	CCONJ
asir-4876	281	5	innovative	innovative	ADJ
asir-4876	281	6	research	research	NOUN
asir-4876	281	7	vol	vol	NOUN
asir-4876	281	8	.	.	PROPN
asir-4876	282	1	6	6	NUM
asir-4876	282	2	,	,	PUNCT
asir-4876	282	3	no	no	INTJ
asir-4876	282	4	.	.	NOUN
asir-4876	282	5	3	3	NUM
asir-4876	282	6	,	,	PUNCT
asir-4876	282	7	2022	2022	NUM
asir-4876	282	8	16	16	NUM
asir-4876	282	9	published	publish	VERB
asir-4876	282	10	by	by	ADP
asir-4876	282	11	scholink	scholink	PROPN
asir-4876	282	12	inc	inc	PROPN
asir-4876	282	13	.	.	PROPN
asir-4876	282	14	figure	figure	PROPN
asir-4876	282	15	7	7	NUM
asir-4876	282	16	.	.	PUNCT
asir-4876	283	1	fields	field	NOUN
asir-4876	283	2	(	(	PUNCT
asir-4876	283	3	a	a	NOUN
asir-4876	283	4	)	)	PUNCT
asir-4876	283	5	and	and	CCONJ
asir-4876	283	6	radiation	radiation	NOUN
asir-4876	283	7	resistances	resistance	NOUN
asir-4876	283	8	(	(	PUNCT
asir-4876	283	9	b	b	NOUN
asir-4876	283	10	)	)	PUNCT
asir-4876	283	11	of	of	ADP
asir-4876	283	12	antennas	antenna	NOUN
asir-4876	283	13	with	with	ADP
asir-4876	283	14	different	different	ADJ
asir-4876	283	15	current	current	ADJ
asir-4876	283	16	distributions	distribution	NOUN
asir-4876	283	17	figure	figure	VERB
asir-4876	283	18	8	8	NUM
asir-4876	283	19	.	.	PUNCT
asir-4876	284	1	input	input	NOUN
asir-4876	284	2	reactance	reactance	NOUN
asir-4876	284	3	(	(	PUNCT
asir-4876	284	4	a	a	NOUN
asir-4876	284	5	)	)	PUNCT
asir-4876	284	6	and	and	CCONJ
asir-4876	284	7	twr	twr	PROPN
asir-4876	284	8	(	(	PUNCT
asir-4876	284	9	b	b	NOUN
asir-4876	284	10	)	)	PUNCT
asir-4876	284	11	of	of	ADP
asir-4876	284	12	antennas	antenna	NOUN
asir-4876	284	13	with	with	ADP
asir-4876	284	14	different	different	ADJ
asir-4876	284	15	current	current	ADJ
asir-4876	284	16	distributions	distribution	NOUN
asir-4876	284	17	the	the	DET
asir-4876	284	18	wave	wave	NOUN
asir-4876	284	19	impedance	impedance	NOUN
asir-4876	284	20	of	of	ADP
asir-4876	284	21	this	this	DET
asir-4876	284	22	radiator	radiator	NOUN
asir-4876	284	23	with	with	ADP
asir-4876	284	24	sinusoidal	sinusoidal	ADJ
asir-4876	284	25	current	current	ADJ
asir-4876	284	26	distribution	distribution	NOUN
asir-4876	284	27	is	be	AUX
asir-4876	284	28	𝑊1	𝑊1	PROPN
asir-4876	284	29	=	=	SYM
asir-4876	284	30	120	120	NUM
asir-4876	284	31	(	(	PUNCT
asir-4876	284	32	ln	ln	ADJ
asir-4876	284	33	2𝐿	2𝐿	PROPN
asir-4876	284	34	𝑎⁄	𝑎⁄	NOUN
asir-4876	284	35	−	−	NOUN
asir-4876	284	36	1	1	NUM
asir-4876	284	37	)	)	PUNCT
asir-4876	284	38	=	=	SYM
asir-4876	284	39	516	516	NUM
asir-4876	284	40	ohm	ohm	NOUN
asir-4876	284	41	.	.	PUNCT
asir-4876	285	1	a	a	DET
asir-4876	285	2	reactive	reactive	ADJ
asir-4876	285	3	component	component	NOUN
asir-4876	285	4	of	of	ADP
asir-4876	285	5	its	its	PRON
asir-4876	285	6	input	input	NOUN
asir-4876	285	7	impedance	impedance	NOUN
asir-4876	285	8	is	be	AUX
asir-4876	285	9	equal	equal	ADJ
asir-4876	285	10	to	to	ADP
asir-4876	285	11	𝑋𝐴1	𝑋𝐴1	PROPN
asir-4876	285	12	=	=	PRON
asir-4876	285	13	𝑊1	𝑊1	PROPN
asir-4876	285	14	cot	cot	NOUN
asir-4876	285	15	𝑘𝐿.	𝑘𝐿.	PROPN
asir-4876	285	16	the	the	DET
asir-4876	285	17	inclusion	inclusion	NOUN
asir-4876	285	18	of	of	ADP
asir-4876	285	19	capacitive	capacitive	ADJ
asir-4876	285	20	loads	load	NOUN
asir-4876	285	21	leads	lead	VERB
asir-4876	285	22	to	to	ADP
asir-4876	285	23	a	a	DET
asir-4876	285	24	sharp	sharp	ADJ
asir-4876	285	25	decrease	decrease	NOUN
asir-4876	285	26	in	in	ADP
asir-4876	285	27	the	the	DET
asir-4876	285	28	inductance	inductance	NOUN
asir-4876	285	29	per	per	ADP
asir-4876	285	30	unit	unit	NOUN
asir-4876	285	31	length	length	NOUN
asir-4876	285	32	of	of	ADP
asir-4876	285	33	the	the	DET
asir-4876	285	34	wire	wire	NOUN
asir-4876	285	35	and	and	CCONJ
asir-4876	285	36	the	the	DET
asir-4876	285	37	propagation	propagation	NOUN
asir-4876	285	38	constant	constant	ADJ
asir-4876	285	39	𝑘1	𝑘1	NOUN
asir-4876	285	40	along	along	ADP
asir-4876	285	41	this	this	DET
asir-4876	285	42	wire	wire	NOUN
asir-4876	285	43	.	.	PUNCT
asir-4876	286	1	as	as	ADP
asir-4876	286	2	a	a	DET
asir-4876	286	3	result	result	NOUN
asir-4876	286	4	,	,	PUNCT
asir-4876	286	5	the	the	DET
asir-4876	286	6	wave	wave	NOUN
asir-4876	286	7	impedance	impedance	NOUN
asir-4876	286	8	𝑊2	𝑊2	PROPN
asir-4876	286	9	of	of	ADP
asir-4876	286	10	an	an	DET
asir-4876	286	11	antenna	antenna	NOUN
asir-4876	286	12	with	with	ADP
asir-4876	286	13	capacitive	capacitive	ADJ
asir-4876	286	14	loads	load	NOUN
asir-4876	286	15	is	be	AUX
asir-4876	286	16	decreased	decrease	VERB
asir-4876	286	17	by	by	ADP
asir-4876	286	18	√𝑘1/𝑘	√𝑘1/𝑘	NUM
asir-4876	286	19	times	time	NOUN
asir-4876	286	20	.	.	PUNCT
asir-4876	287	1	in	in	ADP
asir-4876	287	2	the	the	DET
asir-4876	287	3	author	author	NOUN
asir-4876	287	4	’s	’s	PART
asir-4876	287	5	book	book	NOUN
asir-4876	287	6	(	(	PUNCT
asir-4876	287	7	levin	levin	PROPN
asir-4876	287	8	,	,	PUNCT
asir-4876	287	9	2019	2019	NUM
asir-4876	287	10	)	)	PUNCT
asir-4876	287	11	it	it	PRON
asir-4876	287	12	is	be	AUX
asir-4876	287	13	erroneously	erroneously	ADV
asir-4876	287	14	stated	state	VERB
asir-4876	287	15	that	that	SCONJ
asir-4876	287	16	this	this	DET
asir-4876	287	17	impedance	impedance	NOUN
asir-4876	287	18	coincides	coincide	VERB
asir-4876	287	19	with	with	ADP
asir-4876	287	20	𝑊1	𝑊1	PROPN
asir-4876	287	21	.	.	PUNCT
asir-4876	288	1	therefore	therefore	ADV
asir-4876	288	2	,	,	PUNCT
asir-4876	288	3	the	the	DET
asir-4876	288	4	reactive	reactive	ADJ
asir-4876	288	5	component	component	NOUN
asir-4876	288	6	of	of	ADP
asir-4876	288	7	an	an	DET
asir-4876	288	8	input	input	NOUN
asir-4876	288	9	impedance	impedance	NOUN
asir-4876	288	10	of	of	ADP
asir-4876	288	11	a	a	DET
asir-4876	288	12	radiator	radiator	NOUN
asir-4876	288	13	with	with	ADP
asir-4876	288	14	a	a	DET
asir-4876	288	15	linear	linear	ADJ
asir-4876	288	16	in	in	ADP
asir-4876	288	17	-	-	PUNCT
asir-4876	288	18	phase	phase	NOUN
asir-4876	288	19	current	current	ADJ
asir-4876	288	20	distribution	distribution	NOUN
asir-4876	288	21	is	be	AUX
asir-4876	288	22	𝑋𝐴2	𝑋𝐴2	PROPN
asir-4876	288	23	=	=	PRON
asir-4876	288	24	𝑊2	𝑊2	PROPN
asir-4876	288	25	(	(	PUNCT
asir-4876	288	26	𝑘𝐿)⁄	𝑘𝐿)⁄	NOUN
asir-4876	288	27	.	.	PUNCT
asir-4876	289	1	in	in	ADP
asir-4876	289	2	the	the	DET
asir-4876	289	3	case	case	NOUN
asir-4876	289	4	of	of	ADP
asir-4876	289	5	an	an	DET
asir-4876	289	6	exponential	exponential	ADJ
asir-4876	289	7	in	in	ADP
asir-4876	289	8	-	-	PUNCT
asir-4876	289	9	phase	phase	NOUN
asir-4876	289	10	distribution	distribution	NOUN
asir-4876	289	11	the	the	DET
asir-4876	289	12	reactive	reactive	ADJ
asir-4876	289	13	component	component	NOUN
asir-4876	289	14	of	of	ADP
asir-4876	289	15	the	the	DET
asir-4876	289	16	input	input	NOUN
asir-4876	289	17	impedance	impedance	NOUN
asir-4876	289	18	is	be	AUX
asir-4876	289	19	𝑋𝐴	𝑋𝐴	PROPN
asir-4876	289	20	=	=	PUNCT
asir-4876	289	21	𝑊3,4	𝑊3,4	ADJ
asir-4876	289	22	(	(	PUNCT
asir-4876	289	23	𝑘𝐿)⁄	𝑘𝐿)⁄	NOUN
asir-4876	289	24	,	,	PUNCT
asir-4876	289	25	where	where	SCONJ
asir-4876	289	26	the	the	DET
asir-4876	289	27	wave	wave	NOUN
asir-4876	289	28	impedance	impedance	NOUN
asir-4876	289	29	𝑊3,4	𝑊3,4	ADV
asir-4876	289	30	is	be	AUX
asir-4876	289	31	given	give	VERB
asir-4876	289	32	depending	depend	VERB
asir-4876	289	33	on	on	ADP
asir-4876	289	34	∝	∝	NOUN
asir-4876	289	35	by	by	ADP
asir-4876	289	36	the	the	DET
asir-4876	289	37	expression	expression	NOUN
asir-4876	289	38	𝑊3,4	𝑊3,4	ADJ
asir-4876	289	39	=	=	SYM
asir-4876	289	40	0.5	0.5	NUM
asir-4876	289	41	∝	∝	PROPN
asir-4876	289	42	𝐿𝑊2[1	𝐿𝑊2[1	PROPN
asir-4876	289	43	+	+	PROPN
asir-4876	289	44	cot(∝	cot(∝	PROPN
asir-4876	289	45	𝐿	𝐿	PROPN
asir-4876	289	46	2⁄	2⁄	NUM
asir-4876	289	47	)	)	PUNCT
asir-4876	289	48	]	]	PUNCT
asir-4876	289	49	.	.	PUNCT
asir-4876	290	1	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	PROPN
asir-4876	290	2	applied	apply	VERB
asir-4876	290	3	science	science	NOUN
asir-4876	290	4	and	and	CCONJ
asir-4876	290	5	innovative	innovative	ADJ
asir-4876	290	6	research	research	NOUN
asir-4876	290	7	vol	vol	NOUN
asir-4876	290	8	.	.	PROPN
asir-4876	291	1	6	6	NUM
asir-4876	291	2	,	,	PUNCT
asir-4876	291	3	no	no	INTJ
asir-4876	291	4	.	.	NOUN
asir-4876	291	5	3	3	NUM
asir-4876	291	6	,	,	PUNCT
asir-4876	291	7	2022	2022	NUM
asir-4876	291	8	17	17	NUM
asir-4876	291	9	published	publish	VERB
asir-4876	291	10	by	by	ADP
asir-4876	291	11	scholink	scholink	PROPN
asir-4876	291	12	inc	inc	PROPN
asir-4876	291	13	.	.	PUNCT
asir-4876	292	1	the	the	DET
asir-4876	292	2	formulas	formula	NOUN
asir-4876	292	3	for	for	ADP
asir-4876	292	4	calculating	calculate	VERB
asir-4876	292	5	the	the	DET
asir-4876	292	6	radiation	radiation	NOUN
asir-4876	292	7	resistance	resistance	NOUN
asir-4876	292	8	of	of	ADP
asir-4876	292	9	the	the	DET
asir-4876	292	10	compared	compare	VERB
asir-4876	292	11	radiators	radiator	NOUN
asir-4876	292	12	and	and	CCONJ
asir-4876	292	13	their	their	PRON
asir-4876	292	14	electric	electric	ADJ
asir-4876	292	15	fields	field	NOUN
asir-4876	292	16	along	along	ADP
asir-4876	292	17	the	the	DET
asir-4876	292	18	perpendicular	perpendicular	NOUN
asir-4876	292	19	to	to	ADP
asir-4876	292	20	the	the	DET
asir-4876	292	21	antenna	antenna	NOUN
asir-4876	292	22	axis	axis	NOUN
asir-4876	292	23	are	be	AUX
asir-4876	292	24	given	give	VERB
asir-4876	292	25	above	above	ADV
asir-4876	292	26	.	.	PUNCT
asir-4876	293	1	the	the	DET
asir-4876	293	2	obtained	obtain	VERB
asir-4876	293	3	results	result	NOUN
asir-4876	293	4	show	show	VERB
asir-4876	293	5	that	that	SCONJ
asir-4876	293	6	antennas	antenna	NOUN
asir-4876	293	7	with	with	ADP
asir-4876	293	8	in	in	ADP
asir-4876	293	9	-	-	PUNCT
asir-4876	293	10	phase	phase	NOUN
asir-4876	293	11	current	current	ADJ
asir-4876	293	12	distribution	distribution	NOUN
asir-4876	293	13	permit	permit	NOUN
asir-4876	293	14	in	in	ADP
asir-4876	293	15	the	the	DET
asir-4876	293	16	transmit	transmit	ADJ
asir-4876	293	17	mode	mode	NOUN
asir-4876	293	18	to	to	PART
asir-4876	293	19	provide	provide	VERB
asir-4876	293	20	the	the	DET
asir-4876	293	21	high	high	ADJ
asir-4876	293	22	electrical	electrical	ADJ
asir-4876	293	23	characteristics	characteristic	NOUN
asir-4876	293	24	in	in	ADP
asir-4876	293	25	the	the	DET
asir-4876	293	26	wide	wide	ADJ
asir-4876	293	27	frequency	frequency	NOUN
asir-4876	293	28	range	range	NOUN
asir-4876	293	29	,	,	PUNCT
asir-4876	293	30	including	include	VERB
asir-4876	293	31	the	the	DET
asir-4876	293	32	range	range	NOUN
asir-4876	293	33	,	,	PUNCT
asir-4876	293	34	which	which	PRON
asir-4876	293	35	used	use	VERB
asir-4876	293	36	for	for	ADP
asir-4876	293	37	operation	operation	NOUN
asir-4876	293	38	with	with	ADP
asir-4876	293	39	sinusoidal	sinusoidal	ADJ
asir-4876	293	40	distribution	distribution	NOUN
asir-4876	293	41	.	.	PUNCT
asir-4876	294	1	they	they	PRON
asir-4876	294	2	confirm	confirm	VERB
asir-4876	294	3	advantages	advantage	NOUN
asir-4876	294	4	of	of	ADP
asir-4876	294	5	applicating	applicate	VERB
asir-4876	294	6	the	the	DET
asir-4876	294	7	in	in	ADP
asir-4876	294	8	-	-	PUNCT
asir-4876	294	9	phase	phase	NOUN
asir-4876	294	10	current	current	ADJ
asir-4876	294	11	distribution	distribution	NOUN
asir-4876	294	12	.	.	PUNCT
asir-4876	295	1	other	other	ADJ
asir-4876	295	2	options	option	NOUN
asir-4876	295	3	of	of	ADP
asir-4876	295	4	loads	load	NOUN
asir-4876	295	5	allow	allow	VERB
asir-4876	295	6	to	to	PART
asir-4876	295	7	operate	operate	VERB
asir-4876	295	8	in	in	ADP
asir-4876	295	9	different	different	ADJ
asir-4876	295	10	ranges	range	NOUN
asir-4876	295	11	using	use	VERB
asir-4876	295	12	short	short	ADJ
asir-4876	295	13	waves	wave	NOUN
asir-4876	295	14	,	,	PUNCT
asir-4876	295	15	which	which	DET
asir-4876	295	16	length	length	NOUN
asir-4876	295	17	is	be	AUX
asir-4876	295	18	much	much	ADV
asir-4876	295	19	less	less	ADJ
asir-4876	295	20	than	than	ADP
asir-4876	295	21	the	the	DET
asir-4876	295	22	length	length	NOUN
asir-4876	295	23	of	of	ADP
asir-4876	295	24	an	an	DET
asir-4876	295	25	antenna	antenna	NOUN
asir-4876	295	26	arm	arm	NOUN
asir-4876	295	27	,	,	PUNCT
asir-4876	295	28	i.e.	i.e.	X
asir-4876	295	29	,	,	PUNCT
asir-4876	295	30	at	at	ADP
asir-4876	295	31	frequencies	frequency	NOUN
asir-4876	295	32	where	where	SCONJ
asir-4876	295	33	a	a	DET
asir-4876	295	34	sinusoidal	sinusoidal	ADJ
asir-4876	295	35	distribution	distribution	NOUN
asir-4876	295	36	is	be	AUX
asir-4876	295	37	not	not	PART
asir-4876	295	38	applicable	applicable	ADJ
asir-4876	295	39	.	.	PUNCT
asir-4876	296	1	at	at	ADP
asir-4876	296	2	the	the	DET
asir-4876	296	3	same	same	ADJ
asir-4876	296	4	time	time	NOUN
asir-4876	296	5	,	,	PUNCT
asir-4876	296	6	with	with	ADP
asir-4876	296	7	increasing	increase	VERB
asir-4876	296	8	frequency	frequency	NOUN
asir-4876	296	9	,	,	PUNCT
asir-4876	296	10	the	the	DET
asir-4876	296	11	signal	signal	ADJ
asir-4876	296	12	level	level	NOUN
asir-4876	296	13	of	of	ADP
asir-4876	296	14	the	the	DET
asir-4876	296	15	vertical	vertical	ADJ
asir-4876	296	16	radiator	radiator	NOUN
asir-4876	296	17	at	at	ADP
asir-4876	296	18	angles	angle	NOUN
asir-4876	296	19	close	close	ADV
asir-4876	296	20	to	to	ADP
asir-4876	296	21	the	the	DET
asir-4876	296	22	earth	earth	NOUN
asir-4876	296	23	’s	’s	PART
asir-4876	296	24	surface	surface	NOUN
asir-4876	296	25	,	,	PUNCT
asir-4876	296	26	grows	grow	VERB
asir-4876	296	27	with	with	ADP
asir-4876	296	28	the	the	DET
asir-4876	296	29	general	general	ADJ
asir-4876	296	30	growth	growth	NOUN
asir-4876	296	31	of	of	ADP
asir-4876	296	32	the	the	DET
asir-4876	296	33	field	field	NOUN
asir-4876	296	34	.	.	PUNCT
asir-4876	297	1	this	this	DET
asir-4876	297	2	circumstance	circumstance	NOUN
asir-4876	297	3	is	be	AUX
asir-4876	297	4	very	very	ADV
asir-4876	297	5	important	important	ADJ
asir-4876	297	6	for	for	ADP
asir-4876	297	7	ensuring	ensure	VERB
asir-4876	297	8	reliable	reliable	ADJ
asir-4876	297	9	radio	radio	NOUN
asir-4876	297	10	communications	communication	NOUN
asir-4876	297	11	over	over	ADP
asir-4876	297	12	long	long	ADJ
asir-4876	297	13	distances	distance	NOUN
asir-4876	297	14	.	.	PUNCT
asir-4876	298	1	these	these	DET
asir-4876	298	2	properties	property	NOUN
asir-4876	298	3	are	be	AUX
asir-4876	298	4	equally	equally	ADV
asir-4876	298	5	valid	valid	ADJ
asir-4876	298	6	for	for	ADP
asir-4876	298	7	both	both	CCONJ
asir-4876	298	8	electric	electric	ADJ
asir-4876	298	9	and	and	CCONJ
asir-4876	298	10	magnetic	magnetic	ADJ
asir-4876	298	11	radiators	radiator	NOUN
asir-4876	298	12	.	.	PUNCT
asir-4876	299	1	antennas	antenna	NOUN
asir-4876	299	2	with	with	ADP
asir-4876	299	3	switchable	switchable	PROPN
asir-4876	299	4	loads	load	NOUN
asir-4876	299	5	make	make	VERB
asir-4876	299	6	it	it	PRON
asir-4876	299	7	possible	possible	ADJ
asir-4876	299	8	to	to	PART
asir-4876	299	9	operate	operate	VERB
asir-4876	299	10	in	in	ADP
asir-4876	299	11	all	all	DET
asir-4876	299	12	need	need	VERB
asir-4876	299	13	ranges	range	NOUN
asir-4876	299	14	.	.	PUNCT
asir-4876	300	1	the	the	DET
asir-4876	300	2	self	self	NOUN
asir-4876	300	3	-	-	PUNCT
asir-4876	300	4	complementary	complementary	ADJ
asir-4876	300	5	antennas	antenna	NOUN
asir-4876	300	6	consisting	consist	VERB
asir-4876	300	7	of	of	ADP
asir-4876	300	8	magnetic	magnetic	ADJ
asir-4876	300	9	and	and	CCONJ
asir-4876	300	10	electric	electric	ADJ
asir-4876	300	11	radiators	radiator	NOUN
asir-4876	300	12	located	locate	VERB
asir-4876	300	13	side	side	NOUN
asir-4876	300	14	by	by	ADP
asir-4876	300	15	side	side	NOUN
asir-4876	300	16	on	on	ADP
asir-4876	300	17	a	a	DET
asir-4876	300	18	common	common	ADJ
asir-4876	300	19	surface	surface	NOUN
asir-4876	300	20	and	and	CCONJ
asir-4876	300	21	filling	fill	VERB
asir-4876	300	22	this	this	DET
asir-4876	300	23	entire	entire	ADJ
asir-4876	300	24	surface	surface	NOUN
asir-4876	300	25	deserve	deserve	VERB
asir-4876	300	26	special	special	ADJ
asir-4876	300	27	consideration	consideration	NOUN
asir-4876	300	28	.	.	PUNCT
asir-4876	301	1	in	in	ADP
asir-4876	301	2	this	this	DET
asir-4876	301	3	case	case	NOUN
asir-4876	301	4	,	,	PUNCT
asir-4876	301	5	the	the	DET
asir-4876	301	6	input	input	NOUN
asir-4876	301	7	impedance	impedance	NOUN
asir-4876	301	8	of	of	ADP
asir-4876	301	9	each	each	DET
asir-4876	301	10	radiator	radiator	NOUN
asir-4876	301	11	is	be	AUX
asir-4876	301	12	purely	purely	ADV
asir-4876	301	13	active	active	ADJ
asir-4876	301	14	,	,	PUNCT
asir-4876	301	15	does	do	AUX
asir-4876	301	16	not	not	PART
asir-4876	301	17	depend	depend	VERB
asir-4876	301	18	on	on	ADP
asir-4876	301	19	frequency	frequency	NOUN
asir-4876	301	20	in	in	ADP
asir-4876	301	21	the	the	DET
asir-4876	301	22	operating	operating	NOUN
asir-4876	301	23	range	range	NOUN
asir-4876	301	24	and	and	CCONJ
asir-4876	301	25	is	be	AUX
asir-4876	301	26	equal	equal	ADJ
asir-4876	301	27	to	to	ADP
asir-4876	301	28	60π	60π	NOUN
asir-4876	301	29	.	.	PUNCT
asir-4876	302	1	these	these	DET
asir-4876	302	2	characteristics	characteristic	NOUN
asir-4876	302	3	,	,	PUNCT
asir-4876	302	4	as	as	SCONJ
asir-4876	302	5	is	be	AUX
asir-4876	302	6	usually	usually	ADV
asir-4876	302	7	stated	state	VERB
asir-4876	302	8	,	,	PUNCT
asir-4876	302	9	are	be	AUX
asir-4876	302	10	partially	partially	ADV
asir-4876	302	11	preserved	preserve	VERB
asir-4876	302	12	at	at	ADP
asir-4876	302	13	smaller	small	ADJ
asir-4876	302	14	sizes	size	NOUN
asir-4876	302	15	of	of	ADP
asir-4876	302	16	the	the	DET
asir-4876	302	17	structure	structure	NOUN
asir-4876	302	18	.	.	PUNCT
asir-4876	303	1	attentive	attentive	ADJ
asir-4876	303	2	analysis	analysis	NOUN
asir-4876	303	3	shows	show	VERB
asir-4876	303	4	that	that	SCONJ
asir-4876	303	5	this	this	DET
asir-4876	303	6	situation	situation	NOUN
asir-4876	303	7	is	be	AUX
asir-4876	303	8	valid	valid	ADJ
asir-4876	303	9	at	at	ADP
asir-4876	303	10	high	high	ADJ
asir-4876	303	11	frequencies	frequency	NOUN
asir-4876	303	12	,	,	PUNCT
asir-4876	303	13	more	more	ADV
asir-4876	303	14	precisely	precisely	ADV
asir-4876	303	15	,	,	PUNCT
asir-4876	303	16	when	when	SCONJ
asir-4876	303	17	the	the	DET
asir-4876	303	18	wavelength	wavelength	NOUN
asir-4876	303	19	of	of	ADP
asir-4876	303	20	the	the	DET
asir-4876	303	21	radiated	radiate	VERB
asir-4876	303	22	signal	signal	NOUN
asir-4876	303	23	is	be	AUX
asir-4876	303	24	half	half	DET
asir-4876	303	25	the	the	DET
asir-4876	303	26	dimension	dimension	NOUN
asir-4876	303	27	of	of	ADP
asir-4876	303	28	the	the	DET
asir-4876	303	29	occupied	occupied	ADJ
asir-4876	303	30	surface	surface	NOUN
asir-4876	303	31	.	.	PUNCT
asir-4876	304	1	typical	typical	ADJ
asir-4876	304	2	input	input	NOUN
asir-4876	304	3	characteristics	characteristic	NOUN
asir-4876	304	4	of	of	ADP
asir-4876	304	5	symmetrical	symmetrical	ADJ
asir-4876	304	6	flat	flat	ADJ
asir-4876	304	7	complementary	complementary	ADJ
asir-4876	304	8	antennas	antenna	NOUN
asir-4876	304	9	with	with	ADP
asir-4876	304	10	an	an	DET
asir-4876	304	11	arm	arm	NOUN
asir-4876	304	12	length	length	NOUN
asir-4876	304	13	l	l	NOUN
asir-4876	304	14	depending	depend	VERB
asir-4876	304	15	on	on	ADP
asir-4876	304	16	the	the	DET
asir-4876	304	17	wavelength	wavelength	NOUN
asir-4876	304	18	𝜆	𝜆	SYM
asir-4876	304	19	,	,	PUNCT
asir-4876	304	20	taken	take	VERB
asir-4876	304	21	from	from	ADP
asir-4876	304	22	the	the	DET
asir-4876	304	23	book	book	NOUN
asir-4876	304	24	(	(	PUNCT
asir-4876	304	25	levin	levin	PROPN
asir-4876	304	26	,	,	PUNCT
asir-4876	304	27	2019	2019	NUM
asir-4876	304	28	)	)	PUNCT
asir-4876	304	29	are	be	AUX
asir-4876	304	30	shown	show	VERB
asir-4876	304	31	in	in	ADP
asir-4876	304	32	figure	figure	NOUN
asir-4876	304	33	9	9	NUM
asir-4876	304	34	.	.	PUNCT
asir-4876	305	1	curves	curve	NOUN
asir-4876	305	2	1	1	NUM
asir-4876	305	3	are	be	AUX
asir-4876	305	4	given	give	VERB
asir-4876	305	5	for	for	ADP
asir-4876	305	6	an	an	DET
asir-4876	305	7	antenna	antenna	NOUN
asir-4876	305	8	consisting	consist	VERB
asir-4876	305	9	of	of	ADP
asir-4876	305	10	one	one	NUM
asir-4876	305	11	metal	metal	NOUN
asir-4876	305	12	and	and	CCONJ
asir-4876	305	13	one	one	NUM
asir-4876	305	14	slot	slot	NOUN
asir-4876	305	15	radiator	radiator	NOUN
asir-4876	305	16	with	with	ADP
asir-4876	305	17	the	the	DET
asir-4876	305	18	identical	identical	ADJ
asir-4876	305	19	angular	angular	ADJ
asir-4876	305	20	width	width	NOUN
asir-4876	305	21	𝜋	𝜋	NOUN
asir-4876	305	22	2⁄	2⁄	NUM
asir-4876	305	23	,	,	PUNCT
asir-4876	305	24	curves	curve	NOUN
asir-4876	305	25	2	2	NUM
asir-4876	305	26	are	be	AUX
asir-4876	305	27	given	give	VERB
asir-4876	305	28	for	for	ADP
asir-4876	305	29	two	two	NUM
asir-4876	305	30	antennas	antenna	NOUN
asir-4876	305	31	with	with	ADP
asir-4876	305	32	the	the	DET
asir-4876	305	33	same	same	ADJ
asir-4876	305	34	angular	angular	ADJ
asir-4876	305	35	width	width	NOUN
asir-4876	305	36	,	,	PUNCT
asir-4876	305	37	which	which	PRON
asir-4876	305	38	are	be	AUX
asir-4876	305	39	connected	connect	VERB
asir-4876	305	40	to	to	ADP
asir-4876	305	41	the	the	DET
asir-4876	305	42	generator	generator	NOUN
asir-4876	305	43	poles	pole	NOUN
asir-4876	305	44	in	in	ADP
asir-4876	305	45	parallel	parallel	NOUN
asir-4876	305	46	to	to	ADP
asir-4876	305	47	each	each	DET
asir-4876	305	48	other	other	ADJ
asir-4876	305	49	.	.	PUNCT
asir-4876	306	1	it	it	PRON
asir-4876	306	2	can	can	AUX
asir-4876	306	3	be	be	AUX
asir-4876	306	4	seen	see	VERB
asir-4876	306	5	from	from	ADP
asir-4876	306	6	the	the	DET
asir-4876	306	7	figure	figure	NOUN
asir-4876	306	8	that	that	SCONJ
asir-4876	306	9	as	as	SCONJ
asir-4876	306	10	the	the	DET
asir-4876	306	11	frequency	frequency	NOUN
asir-4876	306	12	increases	increase	NOUN
asir-4876	306	13	(	(	PUNCT
asir-4876	306	14	wavelength	wavelength	NOUN
asir-4876	306	15	decreases	decrease	NOUN
asir-4876	306	16	)	)	PUNCT
asir-4876	306	17	,	,	PUNCT
asir-4876	306	18	the	the	DET
asir-4876	306	19	curves	curve	NOUN
asir-4876	306	20	slowly	slowly	ADV
asir-4876	306	21	converge	converge	VERB
asir-4876	306	22	to	to	ADP
asir-4876	306	23	known	know	VERB
asir-4876	306	24	limit	limit	NOUN
asir-4876	306	25	values	value	NOUN
asir-4876	306	26	:	:	PUNCT
asir-4876	306	27	the	the	DET
asir-4876	306	28	active	active	ADJ
asir-4876	306	29	resistance	resistance	NOUN
asir-4876	306	30	of	of	ADP
asir-4876	306	31	each	each	DET
asir-4876	306	32	radiator	radiator	NOUN
asir-4876	306	33	converges	converge	NOUN
asir-4876	306	34	to	to	ADP
asir-4876	306	35	60π	60π	NOUN
asir-4876	306	36	,	,	PUNCT
asir-4876	306	37	the	the	DET
asir-4876	306	38	reactive	reactive	ADJ
asir-4876	306	39	impedance	impedance	NOUN
asir-4876	306	40	to	to	ADP
asir-4876	306	41	zero	zero	NUM
asir-4876	306	42	.	.	PUNCT
asir-4876	307	1	this	this	DET
asir-4876	307	2	limit	limit	NOUN
asir-4876	307	3	is	be	AUX
asir-4876	307	4	realized	realize	VERB
asir-4876	307	5	when	when	SCONJ
asir-4876	307	6	𝜆	𝜆	PROPN
asir-4876	307	7	𝐿	𝐿	PROPN
asir-4876	307	8	≈	≈	PROPN
asir-4876	307	9	1,⁄	1,⁄	NOUN
asir-4876	307	10	i.e.	i.e.	X
asir-4876	307	11	,	,	PUNCT
asir-4876	307	12	at	at	ADP
asir-4876	307	13	a	a	DET
asir-4876	307	14	wavelength	wavelength	NOUN
asir-4876	307	15	equal	equal	ADJ
asir-4876	307	16	to	to	ADP
asir-4876	307	17	half	half	DET
asir-4876	307	18	the	the	DET
asir-4876	307	19	length	length	NOUN
asir-4876	307	20	of	of	ADP
asir-4876	307	21	the	the	DET
asir-4876	307	22	radiator	radiator	NOUN
asir-4876	307	23	.	.	PUNCT
asir-4876	308	1	as	as	SCONJ
asir-4876	308	2	follows	follow	VERB
asir-4876	308	3	from	from	ADP
asir-4876	308	4	the	the	DET
asir-4876	308	5	foregoing	foregoing	NOUN
asir-4876	308	6	,	,	PUNCT
asir-4876	308	7	radiators	radiator	NOUN
asir-4876	308	8	with	with	ADP
asir-4876	308	9	in	in	ADP
asir-4876	308	10	-	-	PUNCT
asir-4876	308	11	phase	phase	NOUN
asir-4876	308	12	current	current	ADJ
asir-4876	308	13	distribution	distribution	NOUN
asir-4876	308	14	included	include	VERB
asir-4876	308	15	in	in	ADP
asir-4876	308	16	the	the	DET
asir-4876	308	17	self	self	NOUN
asir-4876	308	18	-	-	PUNCT
asir-4876	308	19	complementary	complementary	ADJ
asir-4876	308	20	structure	structure	NOUN
asir-4876	308	21	differs	differ	VERB
asir-4876	308	22	from	from	ADP
asir-4876	308	23	single	single	ADJ
asir-4876	308	24	radiators	radiator	NOUN
asir-4876	308	25	with	with	ADP
asir-4876	308	26	a	a	DET
asir-4876	308	27	similar	similar	ADJ
asir-4876	308	28	current	current	ADJ
asir-4876	308	29	distribution	distribution	NOUN
asir-4876	308	30	by	by	ADP
asir-4876	308	31	a	a	DET
asir-4876	308	32	purely	purely	ADV
asir-4876	308	33	active	active	ADJ
asir-4876	308	34	input	input	NOUN
asir-4876	308	35	impedance	impedance	NOUN
asir-4876	308	36	.	.	PUNCT
asir-4876	309	1	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	PROPN
asir-4876	309	2	applied	apply	VERB
asir-4876	309	3	science	science	NOUN
asir-4876	309	4	and	and	CCONJ
asir-4876	309	5	innovative	innovative	ADJ
asir-4876	309	6	research	research	NOUN
asir-4876	309	7	vol	vol	NOUN
asir-4876	309	8	.	.	PROPN
asir-4876	310	1	6	6	NUM
asir-4876	310	2	,	,	PUNCT
asir-4876	310	3	no	no	INTJ
asir-4876	310	4	.	.	NOUN
asir-4876	310	5	3	3	NUM
asir-4876	310	6	,	,	PUNCT
asir-4876	310	7	2022	2022	NUM
asir-4876	310	8	18	18	NUM
asir-4876	310	9	published	publish	VERB
asir-4876	310	10	by	by	ADP
asir-4876	310	11	scholink	scholink	PROPN
asir-4876	310	12	inc	inc	PROPN
asir-4876	310	13	.	.	PROPN
asir-4876	310	14	figure	figure	NOUN
asir-4876	310	15	9	9	NUM
asir-4876	310	16	.	.	PUNCT
asir-4876	311	1	active	active	ADJ
asir-4876	311	2	(	(	PUNCT
asir-4876	311	3	a	a	NOUN
asir-4876	311	4	)	)	PUNCT
asir-4876	311	5	and	and	CCONJ
asir-4876	311	6	reactive	reactive	ADJ
asir-4876	311	7	(	(	PUNCT
asir-4876	311	8	b	b	NOUN
asir-4876	311	9	)	)	PUNCT
asir-4876	311	10	components	component	NOUN
asir-4876	311	11	of	of	ADP
asir-4876	311	12	the	the	DET
asir-4876	311	13	input	input	NOUN
asir-4876	311	14	impedances	impedance	NOUN
asir-4876	311	15	of	of	ADP
asir-4876	311	16	flat	flat	ADJ
asir-4876	311	17	self	self	NOUN
asir-4876	311	18	-	-	PUNCT
asir-4876	311	19	complementary	complementary	ADJ
asir-4876	311	20	antennas	antenna	NOUN
asir-4876	311	21	5	5	NUM
asir-4876	311	22	.	.	PUNCT
asir-4876	312	1	expansion	expansion	NOUN
asir-4876	312	2	of	of	ADP
asir-4876	312	3	frequency	frequency	NOUN
asir-4876	312	4	range	range	NOUN
asir-4876	312	5	obtained	obtain	VERB
asir-4876	312	6	results	result	NOUN
asir-4876	312	7	allow	allow	VERB
asir-4876	312	8	us	we	PRON
asir-4876	312	9	to	to	PART
asir-4876	312	10	analyze	analyze	VERB
asir-4876	312	11	the	the	DET
asir-4876	312	12	performances	performance	NOUN
asir-4876	312	13	of	of	ADP
asir-4876	312	14	microstrip	microstrip	NOUN
asir-4876	312	15	antennas	antenna	NOUN
asir-4876	312	16	and	and	CCONJ
asir-4876	312	17	suggest	suggest	VERB
asir-4876	312	18	methods	method	NOUN
asir-4876	312	19	for	for	ADP
asir-4876	312	20	improving	improve	VERB
asir-4876	312	21	their	their	PRON
asir-4876	312	22	characteristics	characteristic	NOUN
asir-4876	312	23	.	.	PUNCT
asir-4876	313	1	their	their	PRON
asir-4876	313	2	main	main	ADJ
asir-4876	313	3	disadvantage	disadvantage	NOUN
asir-4876	313	4	is	be	AUX
asir-4876	313	5	low	low	ADJ
asir-4876	313	6	efficiency	efficiency	NOUN
asir-4876	313	7	and	and	CCONJ
asir-4876	313	8	narrow	narrow	ADJ
asir-4876	313	9	frequency	frequency	NOUN
asir-4876	313	10	range	range	NOUN
asir-4876	313	11	.	.	PUNCT
asir-4876	314	1	the	the	DET
asir-4876	314	2	small	small	ADJ
asir-4876	314	3	thickness	thickness	NOUN
asir-4876	314	4	of	of	ADP
asir-4876	314	5	the	the	DET
asir-4876	314	6	substrate	substrate	NOUN
asir-4876	314	7	leads	lead	VERB
asir-4876	314	8	to	to	ADP
asir-4876	314	9	the	the	DET
asir-4876	314	10	losses	loss	NOUN
asir-4876	314	11	in	in	ADP
asir-4876	314	12	the	the	DET
asir-4876	314	13	substrate	substrate	NOUN
asir-4876	314	14	and	and	CCONJ
asir-4876	314	15	reduces	reduce	VERB
asir-4876	314	16	efficiency	efficiency	NOUN
asir-4876	314	17	.	.	PUNCT
asir-4876	315	1	despite	despite	SCONJ
asir-4876	315	2	the	the	DET
asir-4876	315	3	individual	individual	ADJ
asir-4876	315	4	structural	structural	ADJ
asir-4876	315	5	elements	element	NOUN
asir-4876	315	6	that	that	PRON
asir-4876	315	7	distinguish	distinguish	VERB
asir-4876	315	8	microstrip	microstrip	NOUN
asir-4876	315	9	antennas	antenna	NOUN
asir-4876	315	10	from	from	ADP
asir-4876	315	11	other	other	ADJ
asir-4876	315	12	radiators	radiator	NOUN
asir-4876	315	13	,	,	PUNCT
asir-4876	315	14	and	and	CCONJ
asir-4876	315	15	features	feature	NOUN
asir-4876	315	16	of	of	ADP
asir-4876	315	17	electrical	electrical	ADJ
asir-4876	315	18	characteristics	characteristic	NOUN
asir-4876	315	19	caused	cause	VERB
asir-4876	315	20	by	by	ADP
asir-4876	315	21	these	these	DET
asir-4876	315	22	elements	element	NOUN
asir-4876	315	23	,	,	PUNCT
asir-4876	315	24	a	a	DET
asir-4876	315	25	sober	sober	ADJ
asir-4876	315	26	look	look	NOUN
asir-4876	315	27	at	at	ADP
asir-4876	315	28	the	the	DET
asir-4876	315	29	operation	operation	NOUN
asir-4876	315	30	of	of	ADP
asir-4876	315	31	these	these	DET
asir-4876	315	32	antennas	antenna	NOUN
asir-4876	315	33	shows	show	VERB
asir-4876	315	34	that	that	SCONJ
asir-4876	315	35	in	in	ADP
asir-4876	315	36	principle	principle	NOUN
asir-4876	315	37	they	they	PRON
asir-4876	315	38	little	little	ADV
asir-4876	315	39	differ	differ	VERB
asir-4876	315	40	from	from	ADP
asir-4876	315	41	ordinary	ordinary	ADJ
asir-4876	315	42	radiators	radiator	NOUN
asir-4876	315	43	.	.	PUNCT
asir-4876	316	1	and	and	CCONJ
asir-4876	316	2	therefore	therefore	ADV
asir-4876	316	3	,	,	PUNCT
asir-4876	316	4	to	to	PART
asir-4876	316	5	improve	improve	VERB
asir-4876	316	6	their	their	PRON
asir-4876	316	7	performance	performance	NOUN
asir-4876	316	8	,	,	PUNCT
asir-4876	316	9	one	one	PRON
asir-4876	316	10	must	must	AUX
asir-4876	316	11	use	use	VERB
asir-4876	316	12	the	the	DET
asir-4876	316	13	usual	usual	ADJ
asir-4876	316	14	methods	method	NOUN
asir-4876	316	15	.	.	PUNCT
asir-4876	317	1	the	the	DET
asir-4876	317	2	current	current	NOUN
asir-4876	317	3	in	in	ADP
asir-4876	317	4	a	a	DET
asir-4876	317	5	microstrip	microstrip	NOUN
asir-4876	317	6	antenna	antenna	NOUN
asir-4876	317	7	is	be	AUX
asir-4876	317	8	distributed	distribute	VERB
asir-4876	317	9	along	along	ADP
asir-4876	317	10	a	a	DET
asir-4876	317	11	sinusoid	sinusoid	NOUN
asir-4876	317	12	,	,	PUNCT
asir-4876	317	13	as	as	ADP
asir-4876	317	14	in	in	ADP
asir-4876	317	15	a	a	DET
asir-4876	317	16	conventional	conventional	ADJ
asir-4876	317	17	linear	linear	NOUN
asir-4876	317	18	radiator	radiator	NOUN
asir-4876	317	19	.	.	PUNCT
asir-4876	318	1	a	a	DET
asir-4876	318	2	linear	linear	ADJ
asir-4876	318	3	antenna	antenna	NOUN
asir-4876	318	4	with	with	ADP
asir-4876	318	5	a	a	DET
asir-4876	318	6	sinusoidal	sinusoidal	ADJ
asir-4876	318	7	current	current	ADJ
asir-4876	318	8	distribution	distribution	NOUN
asir-4876	318	9	is	be	AUX
asir-4876	318	10	equivalent	equivalent	ADJ
asir-4876	318	11	to	to	ADP
asir-4876	318	12	a	a	DET
asir-4876	318	13	resonant	resonant	ADJ
asir-4876	318	14	circuit	circuit	NOUN
asir-4876	318	15	operating	operate	VERB
asir-4876	318	16	in	in	ADP
asir-4876	318	17	a	a	DET
asir-4876	318	18	narrow	narrow	ADJ
asir-4876	318	19	frequency	frequency	NOUN
asir-4876	318	20	range	range	NOUN
asir-4876	318	21	.	.	PUNCT
asir-4876	319	1	to	to	PART
asir-4876	319	2	expand	expand	VERB
asir-4876	319	3	the	the	DET
asir-4876	319	4	frequency	frequency	ADJ
asir-4876	319	5	range	range	NOUN
asir-4876	319	6	of	of	ADP
asir-4876	319	7	such	such	DET
asir-4876	319	8	a	a	DET
asir-4876	319	9	structure	structure	NOUN
asir-4876	319	10	,	,	PUNCT
asir-4876	319	11	it	it	PRON
asir-4876	319	12	is	be	AUX
asir-4876	319	13	necessary	necessary	ADJ
asir-4876	319	14	in	in	ADP
asir-4876	319	15	particular	particular	ADJ
asir-4876	319	16	to	to	PART
asir-4876	319	17	lower	lower	VERB
asir-4876	319	18	its	its	PRON
asir-4876	319	19	q	q	NOUN
asir-4876	319	20	factor	factor	NOUN
asir-4876	319	21	,	,	PUNCT
asir-4876	319	22	i.e.	i.e.	X
asir-4876	319	23	,	,	PUNCT
asir-4876	319	24	increase	increase	VERB
asir-4876	319	25	the	the	DET
asir-4876	319	26	resistance	resistance	NOUN
asir-4876	319	27	of	of	ADP
asir-4876	319	28	radiation	radiation	NOUN
asir-4876	319	29	and	and	CCONJ
asir-4876	319	30	losses	loss	NOUN
asir-4876	319	31	.	.	PUNCT
asir-4876	320	1	in	in	ADP
asir-4876	320	2	the	the	DET
asir-4876	320	3	case	case	NOUN
asir-4876	320	4	of	of	ADP
asir-4876	320	5	a	a	DET
asir-4876	320	6	microstrip	microstrip	NOUN
asir-4876	320	7	antenna	antenna	NOUN
asir-4876	320	8	,	,	PUNCT
asir-4876	320	9	this	this	DET
asir-4876	320	10	method	method	NOUN
asir-4876	320	11	can	can	AUX
asir-4876	320	12	be	be	AUX
asir-4876	320	13	implemented	implement	VERB
asir-4876	320	14	by	by	ADP
asir-4876	320	15	using	use	VERB
asir-4876	320	16	a	a	DET
asir-4876	320	17	two	two	NUM
asir-4876	320	18	-	-	PUNCT
asir-4876	320	19	story	story	NOUN
asir-4876	320	20	structure	structure	NOUN
asir-4876	320	21	,	,	PUNCT
asir-4876	320	22	in	in	ADP
asir-4876	320	23	which	which	PRON
asir-4876	320	24	the	the	DET
asir-4876	320	25	upper	upper	ADJ
asir-4876	320	26	antenna	antenna	NOUN
asir-4876	320	27	(	(	PUNCT
asir-4876	320	28	second	second	ADJ
asir-4876	320	29	floor	floor	NOUN
asir-4876	320	30	)	)	PUNCT
asir-4876	320	31	connected	connect	VERB
asir-4876	320	32	to	to	ADP
asir-4876	320	33	the	the	DET
asir-4876	320	34	main	main	ADJ
asir-4876	320	35	(	(	PUNCT
asir-4876	320	36	first	first	ADJ
asir-4876	320	37	floor	floor	NOUN
asir-4876	320	38	)	)	PUNCT
asir-4876	320	39	,	,	PUNCT
asir-4876	320	40	provides	provide	VERB
asir-4876	320	41	additional	additional	ADJ
asir-4876	320	42	radiation	radiation	NOUN
asir-4876	320	43	and	and	CCONJ
asir-4876	320	44	partially	partially	ADV
asir-4876	320	45	extends	extend	VERB
asir-4876	320	46	the	the	DET
asir-4876	320	47	operating	operating	NOUN
asir-4876	320	48	range	range	NOUN
asir-4876	320	49	(	(	PUNCT
asir-4876	320	50	see	see	VERB
asir-4876	320	51	,	,	PUNCT
asir-4876	320	52	for	for	ADP
asir-4876	320	53	example	example	NOUN
asir-4876	320	54	,	,	PUNCT
asir-4876	320	55	croq	croq	PROPN
asir-4876	320	56	&	&	CCONJ
asir-4876	320	57	pozar	pozar	PROPN
asir-4876	320	58	,	,	PUNCT
asir-4876	320	59	1991	1991	NUM
asir-4876	320	60	)	)	PUNCT
asir-4876	320	61	.	.	PUNCT
asir-4876	321	1	but	but	CCONJ
asir-4876	321	2	a	a	DET
asir-4876	321	3	significant	significant	ADJ
asir-4876	321	4	expansion	expansion	NOUN
asir-4876	321	5	of	of	ADP
asir-4876	321	6	the	the	DET
asir-4876	321	7	operating	operating	NOUN
asir-4876	321	8	range	range	NOUN
asir-4876	321	9	is	be	AUX
asir-4876	321	10	possible	possible	ADJ
asir-4876	321	11	only	only	ADV
asir-4876	321	12	by	by	ADP
asir-4876	321	13	creating	create	VERB
asir-4876	321	14	in	in	ADP
asir-4876	321	15	a	a	DET
asir-4876	321	16	linear	linear	ADJ
asir-4876	321	17	radiator	radiator	NOUN
asir-4876	321	18	the	the	DET
asir-4876	321	19	in	in	ADP
asir-4876	321	20	-	-	PUNCT
asir-4876	321	21	phase	phase	NOUN
asir-4876	321	22	current	current	ADJ
asir-4876	321	23	distribution	distribution	NOUN
asir-4876	321	24	with	with	ADP
asir-4876	321	25	the	the	DET
asir-4876	321	26	help	help	NOUN
asir-4876	321	27	of	of	ADP
asir-4876	321	28	capacitive	capacitive	ADJ
asir-4876	321	29	loads	load	NOUN
asir-4876	321	30	.	.	PUNCT
asir-4876	322	1	capacitive	capacitive	ADJ
asir-4876	322	2	loads	load	NOUN
asir-4876	322	3	,	,	PUNCT
asir-4876	322	4	located	locate	VERB
asir-4876	322	5	along	along	ADP
asir-4876	322	6	the	the	DET
asir-4876	322	7	axis	axis	NOUN
asir-4876	322	8	of	of	ADP
asir-4876	322	9	a	a	DET
asir-4876	322	10	linear	linear	ADJ
asir-4876	322	11	electrical	electrical	ADJ
asir-4876	322	12	radiator	radiator	NOUN
asir-4876	322	13	,	,	PUNCT
asir-4876	322	14	make	make	VERB
asir-4876	322	15	it	it	PRON
asir-4876	322	16	possible	possible	ADJ
asir-4876	322	17	to	to	PART
asir-4876	322	18	provide	provide	VERB
asir-4876	322	19	over	over	ADP
asir-4876	322	20	the	the	DET
asir-4876	322	21	entire	entire	ADJ
asir-4876	322	22	its	its	PRON
asir-4876	322	23	length	length	NOUN
asir-4876	322	24	a	a	DET
asir-4876	322	25	current	current	ADJ
asir-4876	322	26	close	close	ADV
asir-4876	322	27	to	to	ADP
asir-4876	322	28	the	the	DET
asir-4876	322	29	in	in	NOUN
asir-4876	322	30	-	-	PUNCT
asir-4876	322	31	phase	phase	NOUN
asir-4876	322	32	in	in	ADP
asir-4876	322	33	a	a	DET
asir-4876	322	34	wide	wide	ADJ
asir-4876	322	35	frequency	frequency	NOUN
asir-4876	322	36	range	range	NOUN
asir-4876	322	37	.	.	PUNCT
asir-4876	323	1	amplitude	amplitude	NOUN
asir-4876	323	2	of	of	ADP
asir-4876	323	3	in	in	ADP
asir-4876	323	4	-	-	PUNCT
asir-4876	323	5	phase	phase	NOUN
asir-4876	323	6	current	current	ADJ
asir-4876	323	7	decrease	decrease	NOUN
asir-4876	323	8	toward	toward	ADP
asir-4876	323	9	antenna	antenna	NOUN
asir-4876	323	10	ends	end	VERB
asir-4876	323	11	in	in	ADP
asir-4876	323	12	a	a	DET
asir-4876	323	13	linear	linear	ADJ
asir-4876	323	14	or	or	CCONJ
asir-4876	323	15	exponential	exponential	ADJ
asir-4876	323	16	law	law	NOUN
asir-4876	323	17	.	.	PUNCT
asir-4876	324	1	as	as	ADP
asir-4876	324	2	a	a	DET
asir-4876	324	3	result	result	NOUN
asir-4876	324	4	,	,	PUNCT
asir-4876	324	5	constant	constant	ADJ
asir-4876	324	6	loads	load	NOUN
asir-4876	324	7	allow	allow	VERB
asir-4876	324	8	several	several	ADJ
asir-4876	324	9	times	time	NOUN
asir-4876	324	10	to	to	PART
asir-4876	324	11	expand	expand	VERB
asir-4876	324	12	a	a	DET
asir-4876	324	13	frequency	frequency	NOUN
asir-4876	324	14	range	range	NOUN
asir-4876	324	15	with	with	ADP
asir-4876	324	16	a	a	DET
asir-4876	324	17	required	require	VERB
asir-4876	324	18	matching	matching	NOUN
asir-4876	324	19	level	level	NOUN
asir-4876	324	20	.	.	PUNCT
asir-4876	325	1	changing	change	VERB
asir-4876	325	2	of	of	ADP
asir-4876	325	3	loads	load	NOUN
asir-4876	325	4	by	by	ADP
asir-4876	325	5	means	mean	NOUN
asir-4876	325	6	of	of	ADP
asir-4876	325	7	their	their	PRON
asir-4876	325	8	switching	switching	NOUN
asir-4876	325	9	greatly	greatly	ADV
asir-4876	325	10	improve	improve	VERB
asir-4876	325	11	this	this	DET
asir-4876	325	12	result	result	NOUN
asir-4876	325	13	.	.	PUNCT
asir-4876	326	1	in	in	ADP
asir-4876	326	2	accordance	accordance	NOUN
asir-4876	326	3	with	with	ADP
asir-4876	326	4	the	the	DET
asir-4876	326	5	duality	duality	NOUN
asir-4876	326	6	principle	principle	NOUN
asir-4876	326	7	the	the	DET
asir-4876	326	8	inductive	inductive	ADJ
asir-4876	326	9	loads	load	NOUN
asir-4876	326	10	connected	connect	VERB
asir-4876	326	11	along	along	ADP
asir-4876	326	12	the	the	DET
asir-4876	326	13	slot	slot	NOUN
asir-4876	326	14	provide	provide	VERB
asir-4876	326	15	similar	similar	ADJ
asir-4876	326	16	result	result	NOUN
asir-4876	326	17	in	in	ADP
asir-4876	326	18	a	a	DET
asir-4876	326	19	magnetic	magnetic	ADJ
asir-4876	326	20	radiator	radiator	NOUN
asir-4876	326	21	.	.	PUNCT
asir-4876	327	1	this	this	DET
asir-4876	327	2	design	design	NOUN
asir-4876	327	3	can	can	AUX
asir-4876	327	4	be	be	AUX
asir-4876	327	5	applied	apply	VERB
asir-4876	327	6	in	in	ADP
asir-4876	327	7	a	a	DET
asir-4876	327	8	microstrip	microstrip	NOUN
asir-4876	327	9	antenna	antenna	NOUN
asir-4876	327	10	.	.	PUNCT
asir-4876	328	1	figure	figure	NOUN
asir-4876	328	2	10	10	NUM
asir-4876	328	3	shows	show	VERB
asir-4876	328	4	three	three	NUM
asir-4876	328	5	options	option	NOUN
asir-4876	328	6	of	of	ADP
asir-4876	328	7	such	such	DET
asir-4876	328	8	an	an	DET
asir-4876	328	9	antenna	antenna	NOUN
asir-4876	328	10	with	with	ADP
asir-4876	328	11	capacitive	capacitive	ADJ
asir-4876	328	12	and	and	CCONJ
asir-4876	328	13	inductive	inductive	ADJ
asir-4876	328	14	loads	load	NOUN
asir-4876	328	15	located	locate	VERB
asir-4876	328	16	along	along	ADP
asir-4876	328	17	its	its	PRON
asir-4876	328	18	axis	axis	NOUN
asir-4876	328	19	.	.	PUNCT
asir-4876	329	1	the	the	DET
asir-4876	329	2	capacitive	capacitive	ADJ
asir-4876	329	3	loads	load	NOUN
asir-4876	329	4	are	be	AUX
asir-4876	329	5	installed	instal	VERB
asir-4876	329	6	on	on	ADP
asir-4876	329	7	a	a	DET
asir-4876	329	8	metal	metal	NOUN
asir-4876	329	9	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-4876	329	10	applied	apply	VERB
asir-4876	329	11	science	science	NOUN
asir-4876	329	12	and	and	CCONJ
asir-4876	329	13	innovative	innovative	ADJ
asir-4876	329	14	research	research	NOUN
asir-4876	329	15	vol	vol	NOUN
asir-4876	329	16	.	.	PROPN
asir-4876	330	1	6	6	NUM
asir-4876	330	2	,	,	PUNCT
asir-4876	330	3	no	no	INTJ
asir-4876	330	4	.	.	NOUN
asir-4876	330	5	3	3	NUM
asir-4876	330	6	,	,	PUNCT
asir-4876	330	7	2022	2022	NUM
asir-4876	330	8	19	19	NUM
asir-4876	330	9	published	publish	VERB
asir-4876	330	10	by	by	ADP
asir-4876	330	11	scholink	scholink	PROPN
asir-4876	330	12	inc	inc	PROPN
asir-4876	330	13	.	.	PROPN
asir-4876	330	14	plate	plate	PROPN
asir-4876	330	15	1	1	NUM
asir-4876	330	16	and	and	CCONJ
asir-4876	330	17	are	be	AUX
asir-4876	330	18	made	make	VERB
asir-4876	330	19	in	in	ADP
asir-4876	330	20	the	the	DET
asir-4876	330	21	form	form	NOUN
asir-4876	330	22	of	of	ADP
asir-4876	330	23	transverse	transverse	NOUN
asir-4876	330	24	slots	slot	NOUN
asir-4876	330	25	5	5	NUM
asir-4876	330	26	with	with	ADP
asir-4876	330	27	metal	metal	NOUN
asir-4876	330	28	selvages	selvage	NOUN
asir-4876	330	29	6	6	NUM
asir-4876	330	30	(	(	PUNCT
asir-4876	330	31	see	see	VERB
asir-4876	330	32	figure	figure	NOUN
asir-4876	330	33	10a	10a	NOUN
asir-4876	330	34	)	)	PUNCT
asir-4876	330	35	or	or	CCONJ
asir-4876	330	36	with	with	ADP
asir-4876	330	37	capacitors	capacitor	NOUN
asir-4876	330	38	7	7	NUM
asir-4876	330	39	(	(	PUNCT
asir-4876	330	40	figure	figure	NOUN
asir-4876	330	41	10b	10b	NOUN
asir-4876	330	42	)	)	PUNCT
asir-4876	330	43	.	.	PUNCT
asir-4876	331	1	the	the	DET
asir-4876	331	2	inductive	inductive	ADJ
asir-4876	331	3	loads	load	NOUN
asir-4876	331	4	are	be	AUX
asir-4876	331	5	made	make	VERB
asir-4876	331	6	in	in	ADP
asir-4876	331	7	the	the	DET
asir-4876	331	8	form	form	NOUN
asir-4876	331	9	of	of	ADP
asir-4876	331	10	metal	metal	NOUN
asir-4876	331	11	tapes	tape	NOUN
asir-4876	331	12	8	8	NUM
asir-4876	331	13	and	and	CCONJ
asir-4876	331	14	are	be	AUX
asir-4876	331	15	placed	place	VERB
asir-4876	331	16	on	on	ADP
asir-4876	331	17	the	the	DET
asir-4876	331	18	substrates	substrate	NOUN
asir-4876	331	19	’	'	PUNCT
asir-4876	331	20	sides	side	NOUN
asir-4876	331	21	4	4	NUM
asir-4876	331	22	.	.	PUNCT
asir-4876	332	1	the	the	DET
asir-4876	332	2	third	third	ADJ
asir-4876	332	3	option	option	NOUN
asir-4876	332	4	(	(	PUNCT
asir-4876	332	5	figure	figure	NOUN
asir-4876	332	6	10c	10c	NOUN
asir-4876	332	7	)	)	PUNCT
asir-4876	332	8	makes	make	VERB
asir-4876	332	9	it	it	PRON
asir-4876	332	10	possible	possible	ADJ
asir-4876	332	11	to	to	PART
asir-4876	332	12	switch	switch	VERB
asir-4876	332	13	capacitive	capacitive	ADJ
asir-4876	332	14	loads	load	NOUN
asir-4876	332	15	and	and	CCONJ
asir-4876	332	16	change	change	VERB
asir-4876	332	17	operating	operating	NOUN
asir-4876	332	18	ranges	range	NOUN
asir-4876	332	19	.	.	PUNCT
asir-4876	333	1	figure	figure	VERB
asir-4876	333	2	10	10	NUM
asir-4876	333	3	.	.	PUNCT
asir-4876	334	1	designs	design	NOUN
asir-4876	334	2	of	of	ADP
asir-4876	334	3	microstrip	microstrip	NOUN
asir-4876	334	4	antenna	antenna	NOUN
asir-4876	334	5	:	:	PUNCT
asir-4876	334	6	first	first	ADJ
asir-4876	334	7	option	option	NOUN
asir-4876	334	8	(	(	PUNCT
asir-4876	334	9	a	a	X
asir-4876	334	10	)	)	PUNCT
asir-4876	334	11	,	,	PUNCT
asir-4876	334	12	second	second	ADJ
asir-4876	334	13	option	option	NOUN
asir-4876	334	14	(	(	PUNCT
asir-4876	334	15	b	b	NOUN
asir-4876	334	16	)	)	PUNCT
asir-4876	334	17	,	,	PUNCT
asir-4876	334	18	third	third	ADJ
asir-4876	334	19	option	option	NOUN
asir-4876	334	20	(	(	PUNCT
asir-4876	334	21	c	c	NOUN
asir-4876	334	22	)	)	PUNCT
asir-4876	334	23	1	1	NUM
asir-4876	334	24	–	–	PUNCT
asir-4876	334	25	metal	metal	NOUN
asir-4876	334	26	strip	strip	NOUN
asir-4876	334	27	,	,	PUNCT
asir-4876	334	28	2	2	NUM
asir-4876	334	29	–	–	PUNCT
asir-4876	334	30	ground	ground	NOUN
asir-4876	334	31	plane	plane	NOUN
asir-4876	334	32	,	,	PUNCT
asir-4876	334	33	3	3	NUM
asir-4876	334	34	–	–	PUNCT
asir-4876	334	35	substrate	substrate	NOUN
asir-4876	334	36	,	,	PUNCT
asir-4876	334	37	4	4	NUM
asir-4876	334	38	–	–	PUNCT
asir-4876	334	39	side	side	NOUN
asir-4876	334	40	of	of	ADP
asir-4876	334	41	substrate	substrate	NOUN
asir-4876	334	42	,	,	PUNCT
asir-4876	334	43	5	5	NUM
asir-4876	334	44	–	–	PUNCT
asir-4876	334	45	transverse	transverse	NOUN
asir-4876	334	46	slot	slot	NOUN
asir-4876	334	47	,	,	PUNCT
asir-4876	334	48	6	6	NUM
asir-4876	334	49	–	–	PUNCT
asir-4876	334	50	metal	metal	NOUN
asir-4876	334	51	selvage	selvage	NOUN
asir-4876	334	52	,	,	PUNCT
asir-4876	334	53	7	7	NUM
asir-4876	334	54	–	–	PUNCT
asir-4876	334	55	capacitor	capacitor	NOUN
asir-4876	334	56	,	,	PUNCT
asir-4876	334	57	8	8	NUM
asir-4876	334	58	–	–	PUNCT
asir-4876	334	59	transverse	transverse	NOUN
asir-4876	334	60	strip	strip	VERB
asir-4876	334	61	the	the	DET
asir-4876	334	62	use	use	NOUN
asir-4876	334	63	of	of	ADP
asir-4876	334	64	capacitive	capacitive	ADJ
asir-4876	334	65	loads	load	NOUN
asir-4876	334	66	in	in	ADP
asir-4876	334	67	an	an	DET
asir-4876	334	68	electric	electric	ADJ
asir-4876	334	69	radiator	radiator	NOUN
asir-4876	334	70	of	of	ADP
asir-4876	334	71	the	the	DET
asir-4876	334	72	microstrip	microstrip	NOUN
asir-4876	334	73	antenna	antenna	NOUN
asir-4876	334	74	makes	make	VERB
asir-4876	334	75	it	it	PRON
asir-4876	334	76	possible	possible	ADJ
asir-4876	334	77	to	to	PART
asir-4876	334	78	expand	expand	VERB
asir-4876	334	79	the	the	DET
asir-4876	334	80	operating	operating	NOUN
asir-4876	334	81	range	range	NOUN
asir-4876	334	82	and	and	CCONJ
asir-4876	334	83	significantly	significantly	ADV
asir-4876	334	84	improve	improve	VERB
asir-4876	334	85	the	the	DET
asir-4876	334	86	characteristics	characteristic	NOUN
asir-4876	334	87	of	of	ADP
asir-4876	334	88	the	the	DET
asir-4876	334	89	antenna	antenna	NOUN
asir-4876	334	90	.	.	PUNCT
asir-4876	335	1	calculating	calculate	VERB
asir-4876	335	2	the	the	DET
asir-4876	335	3	wave	wave	NOUN
asir-4876	335	4	impedance	impedance	NOUN
asir-4876	335	5	of	of	ADP
asir-4876	335	6	a	a	DET
asir-4876	335	7	metal	metal	NOUN
asir-4876	335	8	radiator	radiator	NOUN
asir-4876	335	9	,	,	PUNCT
asir-4876	335	10	identical	identical	ADJ
asir-4876	335	11	to	to	ADP
asir-4876	335	12	the	the	DET
asir-4876	335	13	slot	slot	NOUN
asir-4876	335	14	in	in	ADP
asir-4876	335	15	shape	shape	NOUN
asir-4876	335	16	and	and	CCONJ
asir-4876	335	17	size	size	NOUN
asir-4876	335	18	,	,	PUNCT
asir-4876	335	19	performed	perform	VERB
asir-4876	335	20	in	in	ADP
asir-4876	335	21	section	section	NOUN
asir-4876	335	22	2	2	NUM
asir-4876	335	23	,	,	PUNCT
asir-4876	335	24	shows	show	VERB
asir-4876	335	25	that	that	SCONJ
asir-4876	335	26	magnetic	magnetic	ADJ
asir-4876	335	27	radiator	radiator	NOUN
asir-4876	335	28	of	of	ADP
asir-4876	335	29	the	the	DET
asir-4876	335	30	microstrip	microstrip	NOUN
asir-4876	335	31	antenna	antenna	NOUN
asir-4876	335	32	at	at	ADP
asir-4876	335	33	the	the	DET
asir-4876	335	34	currently	currently	ADV
asir-4876	335	35	used	use	VERB
asir-4876	335	36	sizes	size	NOUN
asir-4876	335	37	has	have	VERB
asir-4876	335	38	little	little	ADJ
asir-4876	335	39	effect	effect	NOUN
asir-4876	335	40	on	on	ADP
asir-4876	335	41	the	the	DET
asir-4876	335	42	magnitude	magnitude	NOUN
asir-4876	335	43	of	of	ADP
asir-4876	335	44	the	the	DET
asir-4876	335	45	radiated	radiated	ADJ
asir-4876	335	46	signal	signal	NOUN
asir-4876	335	47	.	.	PUNCT
asir-4876	336	1	to	to	PART
asir-4876	336	2	improve	improve	VERB
asir-4876	336	3	the	the	DET
asir-4876	336	4	characteristics	characteristic	NOUN
asir-4876	336	5	of	of	ADP
asir-4876	336	6	the	the	DET
asir-4876	336	7	magnetic	magnetic	ADJ
asir-4876	336	8	radiator	radiator	NOUN
asir-4876	336	9	,	,	PUNCT
asir-4876	336	10	it	it	PRON
asir-4876	336	11	is	be	AUX
asir-4876	336	12	necessary	necessary	ADJ
asir-4876	336	13	to	to	PART
asir-4876	336	14	increase	increase	VERB
asir-4876	336	15	the	the	DET
asir-4876	336	16	thickness	thickness	NOUN
asir-4876	336	17	of	of	ADP
asir-4876	336	18	the	the	DET
asir-4876	336	19	microstrip	microstrip	NOUN
asir-4876	336	20	antenna	antenna	NOUN
asir-4876	336	21	.	.	PUNCT
asir-4876	337	1	6	6	X
asir-4876	337	2	.	.	X
asir-4876	337	3	conclusion	conclusion	NOUN
asir-4876	337	4	microstrip	microstrip	NOUN
asir-4876	337	5	antennas	antenna	NOUN
asir-4876	337	6	are	be	AUX
asir-4876	337	7	widely	widely	ADV
asir-4876	337	8	used	use	VERB
asir-4876	337	9	in	in	ADP
asir-4876	337	10	various	various	ADJ
asir-4876	337	11	objects	object	NOUN
asir-4876	337	12	.	.	PUNCT
asir-4876	338	1	sufficiently	sufficiently	ADV
asir-4876	338	2	simple	simple	ADJ
asir-4876	338	3	changes	change	NOUN
asir-4876	338	4	in	in	ADP
asir-4876	338	5	their	their	PRON
asir-4876	338	6	design	design	NOUN
asir-4876	338	7	can	can	AUX
asir-4876	338	8	significantly	significantly	ADV
asir-4876	338	9	improve	improve	VERB
asir-4876	338	10	their	their	PRON
asir-4876	338	11	characteristics	characteristic	NOUN
asir-4876	338	12	and	and	CCONJ
asir-4876	338	13	expand	expand	VERB
asir-4876	338	14	the	the	DET
asir-4876	338	15	possibilities	possibility	NOUN
asir-4876	338	16	of	of	ADP
asir-4876	338	17	application	application	NOUN
asir-4876	338	18	.	.	PUNCT
asir-4876	339	1	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	PROPN
asir-4876	339	2	applied	apply	VERB
asir-4876	339	3	science	science	NOUN
asir-4876	339	4	and	and	CCONJ
asir-4876	339	5	innovative	innovative	ADJ
asir-4876	339	6	research	research	NOUN
asir-4876	339	7	vol	vol	NOUN
asir-4876	339	8	.	.	PROPN
asir-4876	340	1	6	6	NUM
asir-4876	340	2	,	,	PUNCT
asir-4876	340	3	no	no	INTJ
asir-4876	340	4	.	.	NOUN
asir-4876	340	5	3	3	NUM
asir-4876	340	6	,	,	PUNCT
asir-4876	340	7	2022	2022	NUM
asir-4876	340	8	20	20	NUM
asir-4876	340	9	published	publish	VERB
asir-4876	340	10	by	by	ADP
asir-4876	340	11	scholink	scholink	PROPN
asir-4876	340	12	inc	inc	PROPN
asir-4876	340	13	.	.	PROPN
asir-4876	340	14	references	reference	NOUN
asir-4876	340	15	balanis	balani	NOUN
asir-4876	340	16	,	,	PUNCT
asir-4876	340	17	c.	c.	PROPN
asir-4876	340	18	a.	a.	PROPN
asir-4876	340	19	(	(	PUNCT
asir-4876	340	20	2005	2005	NUM
asir-4876	340	21	)	)	PUNCT
asir-4876	340	22	.	.	PUNCT
asir-4876	341	1	antenna	antenna	NOUN
asir-4876	341	2	theory	theory	NOUN
asir-4876	341	3	:	:	PUNCT
asir-4876	341	4	analysis	analysis	NOUN
asir-4876	341	5	and	and	CCONJ
asir-4876	341	6	design	design	NOUN
asir-4876	341	7	.	.	PUNCT
asir-4876	342	1	wiley	wiley	PROPN
asir-4876	342	2	&	&	CCONJ
asir-4876	342	3	sons	son	NOUN
asir-4876	342	4	:	:	PUNCT
asir-4876	342	5	new	new	PROPN
asir-4876	342	6	york	york	PROPN
asir-4876	342	7	.	.	PUNCT
asir-4876	343	1	barbakadze	barbakadze	PROPN
asir-4876	343	2	,	,	PUNCT
asir-4876	343	3	v.	v.	PROPN
asir-4876	343	4	,	,	PUNCT
asir-4876	343	5	tabatadze	tabatadze	ADJ
asir-4876	343	6	,	,	PUNCT
asir-4876	343	7	v.	v.	ADV
asir-4876	343	8	,	,	PUNCT
asir-4876	343	9	petoev	petoev	NOUN
asir-4876	343	10	,	,	PUNCT
asir-4876	343	11	i.	i.	PROPN
asir-4876	343	12	,	,	PUNCT
asir-4876	343	13	&	&	CCONJ
asir-4876	343	14	zaridze	zaridze	PROPN
asir-4876	343	15	,	,	PUNCT
asir-4876	343	16	r.	r.	PROPN
asir-4876	343	17	(	(	PUNCT
asir-4876	343	18	2018	2018	NUM
asir-4876	343	19	)	)	PUNCT
asir-4876	343	20	.	.	PUNCT
asir-4876	344	1	directed	direct	VERB
asir-4876	344	2	circular	circular	ADJ
asir-4876	344	3	polarized	polarize	VERB
asir-4876	344	4	antenna	antenna	NOUN
asir-4876	344	5	,	,	PUNCT
asir-4876	344	6	proc	proc	NOUN
asir-4876	344	7	.	.	PUNCT
asir-4876	345	1	23th	23th	NOUN
asir-4876	345	2	seminar	seminar	NOUN
asir-4876	345	3	diped-2018	diped-2018	NOUN
asir-4876	345	4	(	(	PUNCT
asir-4876	345	5	tbilisi	tbilisi	PROPN
asir-4876	345	6	,	,	PUNCT
asir-4876	345	7	georgia	georgia	PROPN
asir-4876	345	8	)	)	PUNCT
asir-4876	345	9	,	,	PUNCT
asir-4876	345	10	177	177	NUM
asir-4876	345	11	-	-	SYM
asir-4876	345	12	180	180	NUM
asir-4876	345	13	.	.	PUNCT
asir-4876	346	1	https://doi.org/10.1109/diped.2018.8543324	https://doi.org/10.1109/diped.2018.8543324	PROPN
asir-4876	346	2	croq	croq	PROPN
asir-4876	346	3	,	,	PUNCT
asir-4876	346	4	f.	f.	PROPN
asir-4876	346	5	,	,	PUNCT
asir-4876	346	6	&	&	CCONJ
asir-4876	346	7	pozar	pozar	PROPN
asir-4876	346	8	,	,	PUNCT
asir-4876	346	9	d.	d.	PROPN
asir-4876	346	10	m.	m.	PROPN
asir-4876	346	11	(	(	PUNCT
asir-4876	346	12	1991	1991	NUM
asir-4876	346	13	)	)	PUNCT
asir-4876	346	14	.	.	PUNCT
asir-4876	347	1	millimeter	millimeter	NOUN
asir-4876	347	2	-	-	PUNCT
asir-4876	347	3	wave	wave	NOUN
asir-4876	347	4	design	design	NOUN
asir-4876	347	5	of	of	ADP
asir-4876	347	6	wade	wade	NOUN
asir-4876	347	7	-	-	PUNCT
asir-4876	347	8	band	band	NOUN
asir-4876	347	9	aperture	aperture	NOUN
asir-4876	347	10	coupled	couple	VERB
asir-4876	347	11	stacked	stack	VERB
asir-4876	347	12	microstrip	microstrip	NOUN
asir-4876	347	13	antennas	antennas	PROPN
asir-4876	347	14	.	.	PUNCT
asir-4876	348	1	ieee	ieee	PROPN
asir-4876	348	2	trans	trans	PROPN
asir-4876	348	3	.	.	PUNCT
asir-4876	349	1	antennas	antenna	NOUN
asir-4876	349	2	and	and	CCONJ
asir-4876	349	3	propagation	propagation	NOUN
asir-4876	349	4	,	,	PUNCT
asir-4876	349	5	39(12	39(12	NUM
asir-4876	349	6	)	)	PUNCT
asir-4876	349	7	,	,	PUNCT
asir-4876	349	8	1770	1770	NUM
asir-4876	349	9	-	-	SYM
asir-4876	349	10	1776	1776	NUM
asir-4876	349	11	.	.	PUNCT
asir-4876	350	1	https://doi.org/10.1109/8.121599	https://doi.org/10.1109/8.121599	PROPN
asir-4876	350	2	iossel	iossel	PROPN
asir-4876	350	3	,	,	PUNCT
asir-4876	350	4	yu	yu	PROPN
asir-4876	350	5	.	.	PROPN
asir-4876	350	6	ya	ya	PROPN
asir-4876	350	7	.	.	PROPN
asir-4876	350	8	,	,	PUNCT
asir-4876	350	9	kochanov	kochanov	PROPN
asir-4876	350	10	,	,	PUNCT
asir-4876	350	11	e.	e.	PROPN
asir-4876	350	12	s.	s.	PROPN
asir-4876	350	13	,	,	PUNCT
asir-4876	350	14	&	&	CCONJ
asir-4876	350	15	strunsky	strunsky	PROPN
asir-4876	350	16	,	,	PUNCT
asir-4876	350	17	m.	m.	NOUN
asir-4876	350	18	g.	g.	PROPN
asir-4876	350	19	(	(	PUNCT
asir-4876	350	20	1981	1981	NUM
asir-4876	350	21	)	)	PUNCT
asir-4876	350	22	.	.	PUNCT
asir-4876	351	1	calculation	calculation	NOUN
asir-4876	351	2	of	of	ADP
asir-4876	351	3	electrical	electrical	ADJ
asir-4876	351	4	capacitance	capacitance	NOUN
asir-4876	351	5	.	.	PUNCT
asir-4876	352	1	energoisdat	energoisdat	NOUN
asir-4876	352	2	:	:	PUNCT
asir-4876	352	3	leningrad	leningrad	PROPN
asir-4876	352	4	.	.	PUNCT
asir-4876	353	1	(	(	PUNCT
asir-4876	353	2	in	in	ADP
asir-4876	353	3	russian	russian	NOUN
asir-4876	353	4	)	)	PUNCT
asir-4876	353	5	.	.	PUNCT
asir-4876	354	1	johnson	johnson	PROPN
asir-4876	354	2	,	,	PUNCT
asir-4876	354	3	r.	r.	PROPN
asir-4876	354	4	c.	c.	PROPN
asir-4876	354	5	(	(	PUNCT
asir-4876	354	6	1993	1993	NUM
asir-4876	354	7	)	)	PUNCT
asir-4876	354	8	.	.	PUNCT
asir-4876	355	1	antenna	antenna	NOUN
asir-4876	355	2	engineering	engineering	NOUN
asir-4876	355	3	handbook	handbook	NOUN
asir-4876	355	4	.	.	PUNCT
asir-4876	356	1	mcgrow	mcgrow	PROPN
asir-4876	356	2	-	-	PUNCT
asir-4876	356	3	hill	hill	NOUN
asir-4876	356	4	:	:	PUNCT
asir-4876	356	5	new	new	PROPN
asir-4876	356	6	york	york	PROPN
asir-4876	356	7	.	.	PUNCT
asir-4876	357	1	levin	levin	PROPN
asir-4876	357	2	,	,	PUNCT
asir-4876	357	3	b.	b.	PROPN
asir-4876	357	4	m.	m.	PROPN
asir-4876	357	5	(	(	PUNCT
asir-4876	357	6	1997	1997	NUM
asir-4876	357	7	)	)	PUNCT
asir-4876	357	8	.	.	PUNCT
asir-4876	358	1	calculation	calculation	NOUN
asir-4876	358	2	of	of	ADP
asir-4876	358	3	electrostatic	electrostatic	ADJ
asir-4876	358	4	fields	field	NOUN
asir-4876	358	5	in	in	ADP
asir-4876	358	6	inhomogeneous	inhomogeneous	ADJ
asir-4876	358	7	media	medium	NOUN
asir-4876	358	8	.	.	PUNCT
asir-4876	359	1	radiotechnics	radiotechnic	NOUN
asir-4876	359	2	and	and	CCONJ
asir-4876	359	3	electronics	electronic	NOUN
asir-4876	359	4	,	,	PUNCT
asir-4876	359	5	42(8	42(8	NUM
asir-4876	359	6	)	)	PUNCT
asir-4876	359	7	,	,	PUNCT
asir-4876	359	8	916	916	NUM
asir-4876	359	9	-	-	SYM
asir-4876	359	10	920	920	NUM
asir-4876	359	11	.	.	PUNCT
asir-4876	360	1	levin	levin	PROPN
asir-4876	360	2	,	,	PUNCT
asir-4876	360	3	b.	b.	PROPN
asir-4876	360	4	m.	m.	PROPN
asir-4876	360	5	(	(	PUNCT
asir-4876	360	6	2019	2019	NUM
asir-4876	360	7	)	)	PUNCT
asir-4876	360	8	.	.	PUNCT
asir-4876	361	1	wide	wide	ADJ
asir-4876	361	2	-	-	PUNCT
asir-4876	361	3	range	range	NOUN
asir-4876	361	4	and	and	CCONJ
asir-4876	361	5	multi	multi	ADJ
asir-4876	361	6	-	-	ADJ
asir-4876	361	7	frequency	frequency	ADJ
asir-4876	361	8	antennas	antenna	NOUN
asir-4876	361	9	.	.	PUNCT
asir-4876	362	1	crc	crc	PROPN
asir-4876	362	2	press	press	PROPN
asir-4876	362	3	:	:	PUNCT
asir-4876	362	4	london	london	PROPN
asir-4876	362	5	,	,	PUNCT
asir-4876	362	6	new	new	PROPN
asir-4876	362	7	york	york	PROPN
asir-4876	362	8	.	.	PUNCT
asir-4876	363	1	levin	levin	PROPN
asir-4876	363	2	,	,	PUNCT
asir-4876	363	3	b.	b.	PROPN
asir-4876	363	4	m.	m.	PROPN
asir-4876	363	5	(	(	PUNCT
asir-4876	363	6	2021	2021	NUM
asir-4876	363	7	)	)	PUNCT
asir-4876	363	8	.	.	PUNCT
asir-4876	364	1	antennas	antenna	NOUN
asir-4876	364	2	:	:	PUNCT
asir-4876	364	3	rigorous	rigorous	ADJ
asir-4876	364	4	methods	method	NOUN
asir-4876	364	5	of	of	ADP
asir-4876	364	6	analysis	analysis	NOUN
asir-4876	364	7	and	and	CCONJ
asir-4876	364	8	synthesis	synthesis	NOUN
asir-4876	364	9	.	.	PUNCT
asir-4876	365	1	crc	crc	PROPN
asir-4876	365	2	press	press	PROPN
asir-4876	365	3	:	:	PUNCT
asir-4876	365	4	london	london	PROPN
asir-4876	365	5	,	,	PUNCT
asir-4876	365	6	new	new	PROPN
asir-4876	365	7	york	york	PROPN
asir-4876	365	8	.	.	PUNCT
asir-4876	366	1	microstrip	microstrip	PROPN
asir-4876	366	2	antennas	antennas	PROPN
asir-4876	366	3	,	,	PUNCT
asir-4876	366	4	edited	edit	VERB
asir-4876	366	5	by	by	ADP
asir-4876	366	6	pozar	pozar	PROPN
asir-4876	366	7	,	,	PUNCT
asir-4876	366	8	d.	d.	PROPN
asir-4876	366	9	m.	m.	PROPN
asir-4876	366	10	,	,	PUNCT
asir-4876	366	11	&	&	CCONJ
asir-4876	366	12	schaubert	schaubert	PROPN
asir-4876	366	13	,	,	PUNCT
asir-4876	366	14	d.	d.	PROPN
asir-4876	366	15	h.	h.	PROPN
asir-4876	366	16	(	(	PUNCT
asir-4876	366	17	1995	1995	NUM
asir-4876	366	18	)	)	PUNCT
asir-4876	366	19	.	.	PUNCT
asir-4876	367	1	ieee	ieee	PROPN
asir-4876	367	2	press	press	PROPN
asir-4876	367	3	:	:	PUNCT
asir-4876	367	4	new	new	PROPN
asir-4876	367	5	york	york	PROPN
asir-4876	367	6	.	.	PUNCT
asir-4876	368	1	mirolubov	mirolubov	PROPN
asir-4876	368	2	,	,	PUNCT
asir-4876	368	3	n.	n.	PROPN
asir-4876	368	4	n.	n.	PROPN
asir-4876	368	5	,	,	PUNCT
asir-4876	368	6	kostenko	kostenko	PROPN
asir-4876	368	7	,	,	PUNCT
asir-4876	368	8	m.	m.	NOUN
asir-4876	368	9	v.	v.	PROPN
asir-4876	368	10	,	,	PUNCT
asir-4876	368	11	levinstein	levinstein	ADJ
asir-4876	368	12	,	,	PUNCT
asir-4876	368	13	m.	m.	NOUN
asir-4876	368	14	l.	l.	PROPN
asir-4876	368	15	,	,	PUNCT
asir-4876	368	16	&	&	CCONJ
asir-4876	368	17	tichodeev	tichodeev	PROPN
asir-4876	368	18	,	,	PUNCT
asir-4876	368	19	n.	n.	PROPN
asir-4876	368	20	n.	n.	PROPN
asir-4876	368	21	(	(	PUNCT
asir-4876	368	22	1963	1963	NUM
asir-4876	368	23	)	)	PUNCT
asir-4876	368	24	.	.	PUNCT
asir-4876	369	1	methods	method	NOUN
asir-4876	369	2	of	of	ADP
asir-4876	369	3	electrostatic	electrostatic	ADJ
asir-4876	369	4	field	field	NOUN
asir-4876	369	5	calculation	calculation	NOUN
asir-4876	369	6	.	.	PUNCT
asir-4876	370	1	visshaya	visshaya	PROPN
asir-4876	370	2	shkola	shkola	PROPN
asir-4876	370	3	:	:	PUNCT
asir-4876	371	1	leningrad	leningrad	PROPN
asir-4876	371	2	.	.	PUNCT
asir-4876	372	1	(	(	PUNCT
asir-4876	372	2	in	in	ADP
asir-4876	372	3	russian	russian	NOUN
asir-4876	372	4	)	)	PUNCT
asir-4876	372	5	.	.	PUNCT
asir-4876	373	1	munson	munson	PROPN
asir-4876	373	2	,	,	PUNCT
asir-4876	373	3	r.	r.	PROPN
asir-4876	373	4	e.	e.	PROPN
asir-4876	373	5	(	(	PUNCT
asir-4876	373	6	1974	1974	NUM
asir-4876	373	7	)	)	PUNCT
asir-4876	373	8	.	.	PUNCT
asir-4876	374	1	conformal	conformal	NOUN
asir-4876	374	2	microstrip	microstrip	NOUN
asir-4876	374	3	antennas	antenna	NOUN
asir-4876	374	4	and	and	CCONJ
asir-4876	374	5	microstrip	microstrip	NOUN
asir-4876	374	6	phased	phase	VERB
asir-4876	374	7	arrays	array	NOUN
asir-4876	374	8	.	.	PUNCT
asir-4876	375	1	ieee	ieee	PROPN
asir-4876	375	2	trans	trans	PROPN
asir-4876	375	3	.	.	PUNCT
asir-4876	376	1	antennas	antennas	PROPN
asir-4876	376	2	propagation	propagation	NOUN
asir-4876	376	3	,	,	PUNCT
asir-4876	376	4	22(1	22(1	NUM
asir-4876	376	5	)	)	PUNCT
asir-4876	376	6	,	,	PUNCT
asir-4876	376	7	74	74	NUM
asir-4876	376	8	-	-	SYM
asir-4876	376	9	78	78	NUM
asir-4876	376	10	.	.	PUNCT
asir-4876	377	1	https://doi.org/10.1109/tap.1974.1140723	https://doi.org/10.1109/tap.1974.1140723	ADJ
asir-4876	377	2	poynting	poynting	NOUN
asir-4876	377	3	,	,	PUNCT
asir-4876	377	4	j.	j.	PROPN
asir-4876	377	5	h.	h.	PROPN
asir-4876	377	6	(	(	PUNCT
asir-4876	377	7	1884	1884	NUM
asir-4876	377	8	)	)	PUNCT
asir-4876	377	9	.	.	PUNCT
asir-4876	378	1	on	on	ADP
asir-4876	378	2	the	the	DET
asir-4876	378	3	transfer	transfer	NOUN
asir-4876	378	4	of	of	ADP
asir-4876	378	5	energy	energy	NOUN
asir-4876	378	6	in	in	ADP
asir-4876	378	7	the	the	DET
asir-4876	378	8	electromagnetic	electromagnetic	ADJ
asir-4876	378	9	field	field	NOUN
asir-4876	378	10	.	.	PUNCT
asir-4876	379	1	phil	phil	PROPN
asir-4876	379	2	.	.	PUNCT
asir-4876	380	1	trans	trans	PROPN
asir-4876	380	2	.	.	PROPN
asir-4876	381	1	roy	roy	PROPN
asir-4876	381	2	.	.	PROPN
asir-4876	381	3	soc	soc	PROPN
asir-4876	381	4	.	.	PUNCT
asir-4876	382	1	(	(	PUNCT
asir-4876	382	2	london	london	PROPN
asir-4876	382	3	)	)	PUNCT
asir-4876	382	4	,	,	PUNCT
asir-4876	382	5	2	2	NUM
asir-4876	382	6	,	,	PUNCT
asir-4876	382	7	343	343	NUM
asir-4876	382	8	.	.	PUNCT
asir-4876	383	1	https://doi.org/10.1098/rstl.1884.0016	https://doi.org/10.1098/rstl.1884.0016	PROPN