id	sid	tid	token	lemma	pos
asir-4687	1	1	applied	apply	VERB
asir-4687	1	2	science	science	NOUN
asir-4687	1	3	and	and	CCONJ
asir-4687	1	4	innovative	innovative	ADJ
asir-4687	1	5	research	research	NOUN
asir-4687	1	6	issn	issn	VERB
asir-4687	1	7	2474	2474	NUM
asir-4687	1	8	-	-	SYM
asir-4687	1	9	4972	4972	NUM
asir-4687	1	10	(	(	PUNCT
asir-4687	1	11	print	print	NOUN
asir-4687	1	12	)	)	PUNCT
asir-4687	1	13	issn	issn	VERB
asir-4687	1	14	2474	2474	NUM
asir-4687	1	15	-	-	SYM
asir-4687	1	16	4980	4980	NUM
asir-4687	1	17	(	(	PUNCT
asir-4687	1	18	online	online	ADJ
asir-4687	1	19	)	)	PUNCT
asir-4687	1	20	vol	vol	NOUN
asir-4687	1	21	.	.	PROPN
asir-4687	2	1	6	6	NUM
asir-4687	2	2	,	,	PUNCT
asir-4687	2	3	no	no	INTJ
asir-4687	2	4	.	.	NOUN
asir-4687	2	5	2	2	NUM
asir-4687	2	6	,	,	PUNCT
asir-4687	2	7	2022	2022	NUM
asir-4687	2	8	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	VERB
asir-4687	2	9	43	43	NUM
asir-4687	2	10	original	original	ADJ
asir-4687	2	11	paper	paper	NOUN
asir-4687	2	12	blast	blast	NOUN
asir-4687	2	13	wave	wave	NOUN
asir-4687	2	14	boris	boris	PROPN
asir-4687	2	15	levin1	levin1	PROPN
asir-4687	3	1	1	1	NUM
asir-4687	3	2	lod	lod	PROPN
asir-4687	3	3	,	,	PUNCT
asir-4687	3	4	israel	israel	PROPN
asir-4687	3	5	,	,	PUNCT
asir-4687	3	6	e	e	NOUN
asir-4687	3	7	-	-	NOUN
asir-4687	3	8	mail	mail	NOUN
asir-4687	3	9	:	:	PUNCT
asir-4687	3	10	levinpaker@gmail.com	levinpaker@gmail.com	PROPN
asir-4687	3	11	received	receive	VERB
asir-4687	3	12	:	:	PUNCT
asir-4687	3	13	april	april	PROPN
asir-4687	3	14	2	2	NUM
asir-4687	3	15	,	,	PUNCT
asir-4687	3	16	2022	2022	NUM
asir-4687	3	17	accepted	accept	VERB
asir-4687	3	18	:	:	PUNCT
asir-4687	3	19	april	april	PROPN
asir-4687	3	20	13	13	NUM
asir-4687	3	21	,	,	PUNCT
asir-4687	3	22	2022	2022	NUM
asir-4687	3	23	online	online	ADV
asir-4687	3	24	published	publish	VERB
asir-4687	3	25	:	:	PUNCT
asir-4687	3	26	april	april	PROPN
asir-4687	3	27	18	18	NUM
asir-4687	3	28	,	,	PUNCT
asir-4687	3	29	2022	2022	NUM
asir-4687	3	30	doi:10.22158	doi:10.22158	NOUN
asir-4687	3	31	/	/	SYM
asir-4687	3	32	asir.v6n2p43	asir.v6n2p43	PROPN
asir-4687	3	33	url	url	PROPN
asir-4687	3	34	:	:	PUNCT
asir-4687	3	35	http://doi.org/10.22158/asir.v6n2p43	http://doi.org/10.22158/asir.v6n2p43	X
asir-4687	3	36	abstract	abstract	VERB
asir-4687	3	37	the	the	DET
asir-4687	3	38	main	main	ADJ
asir-4687	3	39	results	result	NOUN
asir-4687	3	40	of	of	ADP
asir-4687	3	41	the	the	DET
asir-4687	3	42	development	development	NOUN
asir-4687	3	43	of	of	ADP
asir-4687	3	44	calculation	calculation	NOUN
asir-4687	3	45	methods	method	NOUN
asir-4687	3	46	and	and	CCONJ
asir-4687	3	47	the	the	DET
asir-4687	3	48	creation	creation	NOUN
asir-4687	3	49	of	of	ADP
asir-4687	3	50	new	new	ADJ
asir-4687	3	51	antenna	antenna	NOUN
asir-4687	3	52	options	option	NOUN
asir-4687	3	53	based	base	VERB
asir-4687	3	54	on	on	ADP
asir-4687	3	55	the	the	DET
asir-4687	3	56	theoretical	theoretical	ADJ
asir-4687	3	57	achievements	achievement	NOUN
asir-4687	3	58	of	of	ADP
asir-4687	3	59	the	the	DET
asir-4687	3	60	middle	middle	NOUN
asir-4687	3	61	of	of	ADP
asir-4687	3	62	the	the	DET
asir-4687	3	63	last	last	ADJ
asir-4687	3	64	century	century	NOUN
asir-4687	3	65	are	be	AUX
asir-4687	3	66	considered	consider	VERB
asir-4687	3	67	.	.	PUNCT
asir-4687	4	1	keywords	keyword	NOUN
asir-4687	4	2	antenna	antenna	NOUN
asir-4687	4	3	theory	theory	NOUN
asir-4687	4	4	,	,	PUNCT
asir-4687	4	5	distribution	distribution	NOUN
asir-4687	4	6	of	of	ADP
asir-4687	4	7	current	current	ADJ
asir-4687	4	8	,	,	PUNCT
asir-4687	4	9	integral	integral	ADJ
asir-4687	4	10	equation	equation	NOUN
asir-4687	4	11	1	1	NUM
asir-4687	4	12	.	.	PUNCT
asir-4687	4	13	introduction	introduction	NOUN
asir-4687	4	14	the	the	DET
asir-4687	4	15	development	development	NOUN
asir-4687	4	16	of	of	ADP
asir-4687	4	17	antenna	antenna	NOUN
asir-4687	4	18	technology	technology	NOUN
asir-4687	4	19	,	,	PUNCT
asir-4687	4	20	like	like	ADP
asir-4687	4	21	any	any	DET
asir-4687	4	22	other	other	ADJ
asir-4687	4	23	new	new	ADJ
asir-4687	4	24	technology	technology	NOUN
asir-4687	4	25	,	,	PUNCT
asir-4687	4	26	has	have	VERB
asir-4687	4	27	a	a	DET
asir-4687	4	28	stepped	step	VERB
asir-4687	4	29	nature	nature	NOUN
asir-4687	4	30	.	.	PUNCT
asir-4687	5	1	in	in	ADP
asir-4687	5	2	the	the	DET
asir-4687	5	3	middle	middle	NOUN
asir-4687	5	4	of	of	ADP
asir-4687	5	5	the	the	DET
asir-4687	5	6	last	last	ADJ
asir-4687	5	7	century	century	NOUN
asir-4687	5	8	,	,	PUNCT
asir-4687	5	9	it	it	PRON
asir-4687	5	10	seemed	seem	VERB
asir-4687	5	11	that	that	SCONJ
asir-4687	5	12	this	this	DET
asir-4687	5	13	development	development	NOUN
asir-4687	5	14	had	have	AUX
asir-4687	5	15	stopped	stop	VERB
asir-4687	5	16	.	.	PUNCT
asir-4687	6	1	the	the	DET
asir-4687	6	2	method	method	NOUN
asir-4687	6	3	of	of	ADP
asir-4687	6	4	induced	induced	ADJ
asir-4687	6	5	emf	emf	NOUN
asir-4687	6	6	confidently	confidently	ADV
asir-4687	6	7	took	take	VERB
asir-4687	6	8	upon	upon	SCONJ
asir-4687	6	9	oneself	oneself	PRON
asir-4687	6	10	the	the	DET
asir-4687	6	11	calculation	calculation	NOUN
asir-4687	6	12	of	of	ADP
asir-4687	6	13	the	the	DET
asir-4687	6	14	electrical	electrical	ADJ
asir-4687	6	15	characteristics	characteristic	NOUN
asir-4687	6	16	of	of	ADP
asir-4687	6	17	antennas	antenna	NOUN
asir-4687	6	18	.	.	PUNCT
asir-4687	7	1	unfortunately	unfortunately	ADV
asir-4687	7	2	,	,	PUNCT
asir-4687	7	3	it	it	PRON
asir-4687	7	4	was	be	AUX
asir-4687	7	5	not	not	PART
asir-4687	7	6	rigorous	rigorous	ADJ
asir-4687	7	7	and	and	CCONJ
asir-4687	7	8	precise	precise	ADJ
asir-4687	7	9	enough	enough	ADV
asir-4687	7	10	to	to	PART
asir-4687	7	11	analyze	analyze	VERB
asir-4687	7	12	complex	complex	ADJ
asir-4687	7	13	radiators	radiator	NOUN
asir-4687	7	14	.	.	PUNCT
asir-4687	8	1	in	in	ADP
asir-4687	8	2	1941	1941	NUM
asir-4687	8	3	,	,	PUNCT
asir-4687	8	4	stratton	stratton	PROPN
asir-4687	8	5	’s	’s	PROPN
asir-4687	8	6	famous	famous	ADJ
asir-4687	8	7	book	book	NOUN
asir-4687	8	8	“	"	PUNCT
asir-4687	8	9	the	the	DET
asir-4687	8	10	theory	theory	NOUN
asir-4687	8	11	of	of	ADP
asir-4687	8	12	electromagnetism	electromagnetism	NOUN
asir-4687	8	13	”	"	PUNCT
asir-4687	8	14	(	(	PUNCT
asir-4687	8	15	stratton	stratton	PROPN
asir-4687	8	16	,	,	PUNCT
asir-4687	8	17	1941	1941	NUM
asir-4687	8	18	)	)	PUNCT
asir-4687	8	19	was	be	AUX
asir-4687	8	20	published	publish	VERB
asir-4687	8	21	,	,	PUNCT
asir-4687	8	22	which	which	PRON
asir-4687	8	23	was	be	AUX
asir-4687	8	24	later	later	ADV
asir-4687	8	25	called	call	VERB
asir-4687	8	26	gold	gold	NOUN
asir-4687	8	27	.	.	PUNCT
asir-4687	9	1	in	in	ADP
asir-4687	9	2	this	this	DET
asir-4687	9	3	book	book	NOUN
asir-4687	9	4	,	,	PUNCT
asir-4687	9	5	as	as	ADP
asir-4687	9	6	a	a	DET
asir-4687	9	7	rigorous	rigorous	ADJ
asir-4687	9	8	method	method	NOUN
asir-4687	9	9	for	for	ADP
asir-4687	9	10	analyzing	analyze	VERB
asir-4687	9	11	a	a	DET
asir-4687	9	12	straight	straight	ADJ
asir-4687	9	13	linear	linear	ADJ
asir-4687	9	14	antenna	antenna	NOUN
asir-4687	9	15	,	,	PUNCT
asir-4687	9	16	it	it	PRON
asir-4687	9	17	was	be	AUX
asir-4687	9	18	recommended	recommend	VERB
asir-4687	9	19	to	to	PART
asir-4687	9	20	use	use	VERB
asir-4687	9	21	a	a	DET
asir-4687	9	22	method	method	NOUN
asir-4687	9	23	based	base	VERB
asir-4687	9	24	on	on	ADP
asir-4687	9	25	calculating	calculate	VERB
asir-4687	9	26	the	the	DET
asir-4687	9	27	eigenfunctions	eigenfunction	NOUN
asir-4687	9	28	of	of	ADP
asir-4687	9	29	a	a	DET
asir-4687	9	30	spheroid	spheroid	NOUN
asir-4687	9	31	(	(	PUNCT
asir-4687	9	32	an	an	DET
asir-4687	9	33	elongated	elongate	VERB
asir-4687	9	34	ellipsoid	ellipsoid	NOUN
asir-4687	9	35	with	with	ADP
asir-4687	9	36	an	an	DET
asir-4687	9	37	eccentricity	eccentricity	NOUN
asir-4687	9	38	slightly	slightly	ADV
asir-4687	9	39	different	different	ADJ
asir-4687	9	40	from	from	ADP
asir-4687	9	41	unity	unity	NOUN
asir-4687	9	42	)	)	PUNCT
asir-4687	9	43	.	.	PUNCT
asir-4687	10	1	this	this	DET
asir-4687	10	2	proposal	proposal	NOUN
asir-4687	10	3	was	be	AUX
asir-4687	10	4	clearly	clearly	ADV
asir-4687	10	5	pessimistic	pessimistic	ADJ
asir-4687	10	6	,	,	PUNCT
asir-4687	10	7	because	because	SCONJ
asir-4687	10	8	spheroidal	spheroidal	NOUN
asir-4687	10	9	functions	function	NOUN
asir-4687	10	10	are	be	AUX
asir-4687	10	11	difficult	difficult	ADJ
asir-4687	10	12	to	to	PART
asir-4687	10	13	compute	compute	VERB
asir-4687	10	14	,	,	PUNCT
asir-4687	10	15	and	and	CCONJ
asir-4687	10	16	the	the	DET
asir-4687	10	17	method	method	NOUN
asir-4687	10	18	gives	give	VERB
asir-4687	10	19	an	an	DET
asir-4687	10	20	approximate	approximate	ADJ
asir-4687	10	21	result	result	NOUN
asir-4687	10	22	and	and	CCONJ
asir-4687	10	23	is	be	AUX
asir-4687	10	24	practically	practically	ADV
asir-4687	10	25	applicable	applicable	ADJ
asir-4687	10	26	to	to	ADP
asir-4687	10	27	only	only	ADV
asir-4687	10	28	simplest	simple	ADJ
asir-4687	10	29	antenna	antenna	NOUN
asir-4687	10	30	.	.	PUNCT
asir-4687	11	1	therefore	therefore	ADV
asir-4687	11	2	,	,	PUNCT
asir-4687	11	3	it	it	PRON
asir-4687	11	4	might	might	AUX
asir-4687	11	5	seem	seem	VERB
asir-4687	11	6	that	that	SCONJ
asir-4687	11	7	the	the	DET
asir-4687	11	8	powerful	powerful	ADJ
asir-4687	11	9	blast	blast	NOUN
asir-4687	11	10	wave	wave	NOUN
asir-4687	11	11	that	that	PRON
asir-4687	11	12	arose	arise	VERB
asir-4687	11	13	soon	soon	ADV
asir-4687	11	14	after	after	SCONJ
asir-4687	11	15	the	the	DET
asir-4687	11	16	derivation	derivation	NOUN
asir-4687	11	17	and	and	CCONJ
asir-4687	11	18	solution	solution	NOUN
asir-4687	11	19	of	of	ADP
asir-4687	11	20	integral	integral	ADJ
asir-4687	11	21	equations	equation	NOUN
asir-4687	11	22	for	for	ADP
asir-4687	11	23	the	the	DET
asir-4687	11	24	currents	current	NOUN
asir-4687	11	25	in	in	ADP
asir-4687	11	26	the	the	DET
asir-4687	11	27	antennas	antenna	NOUN
asir-4687	11	28	became	become	VERB
asir-4687	11	29	a	a	DET
asir-4687	11	30	kind	kind	NOUN
asir-4687	11	31	of	of	ADP
asir-4687	11	32	reaction	reaction	NOUN
asir-4687	11	33	to	to	ADP
asir-4687	11	34	this	this	DET
asir-4687	11	35	pessimistic	pessimistic	ADJ
asir-4687	11	36	forecast	forecast	NOUN
asir-4687	11	37	.	.	PUNCT
asir-4687	12	1	nevertheless	nevertheless	ADV
asir-4687	12	2	,	,	PUNCT
asir-4687	12	3	the	the	DET
asir-4687	12	4	calculation	calculation	NOUN
asir-4687	12	5	method	method	NOUN
asir-4687	12	6	using	use	VERB
asir-4687	12	7	spheroidal	spheroidal	NOUN
asir-4687	12	8	eigenfunctions	eigenfunction	NOUN
asir-4687	12	9	was	be	AUX
asir-4687	12	10	brought	bring	VERB
asir-4687	12	11	to	to	ADP
asir-4687	12	12	numerical	numerical	ADJ
asir-4687	12	13	results	result	NOUN
asir-4687	12	14	(	(	PUNCT
asir-4687	12	15	duncan	duncan	PROPN
asir-4687	12	16	&	&	CCONJ
asir-4687	12	17	hinchey	hinchey	PROPN
asir-4687	12	18	,	,	PUNCT
asir-4687	12	19	1960	1960	NUM
asir-4687	12	20	)	)	PUNCT
asir-4687	12	21	,	,	PUNCT
asir-4687	12	22	similar	similar	ADJ
asir-4687	12	23	to	to	ADP
asir-4687	12	24	the	the	DET
asir-4687	12	25	known	know	VERB
asir-4687	12	26	ones	one	NOUN
asir-4687	12	27	,	,	PUNCT
asir-4687	12	28	and	and	CCONJ
asir-4687	12	29	after	after	ADP
asir-4687	12	30	that	that	PRON
asir-4687	12	31	this	this	DET
asir-4687	12	32	method	method	NOUN
asir-4687	12	33	was	be	AUX
asir-4687	12	34	forever	forever	ADV
asir-4687	12	35	forgotten	forget	VERB
asir-4687	12	36	due	due	ADP
asir-4687	12	37	to	to	ADP
asir-4687	12	38	the	the	DET
asir-4687	12	39	limited	limited	ADJ
asir-4687	12	40	possibilities	possibility	NOUN
asir-4687	12	41	of	of	ADP
asir-4687	12	42	its	its	PRON
asir-4687	12	43	use	use	NOUN
asir-4687	12	44	.	.	PUNCT
asir-4687	13	1	antenna	antenna	NOUN
asir-4687	13	2	theory	theory	NOUN
asir-4687	13	3	is	be	AUX
asir-4687	13	4	based	base	VERB
asir-4687	13	5	on	on	ADP
asir-4687	13	6	the	the	DET
asir-4687	13	7	basic	basic	ADJ
asir-4687	13	8	equations	equation	NOUN
asir-4687	13	9	of	of	ADP
asir-4687	13	10	electrodynamics	electrodynamics	PROPN
asir-4687	13	11	maxwell	maxwell	PROPN
asir-4687	13	12	’s	’s	PART
asir-4687	13	13	equations	equation	NOUN
asir-4687	13	14	.	.	PUNCT
asir-4687	14	1	a	a	DET
asir-4687	14	2	straight	straight	NOUN
asir-4687	14	3	ideally	ideally	ADV
asir-4687	14	4	conducting	conduct	VERB
asir-4687	14	5	filament	filament	NOUN
asir-4687	14	6	with	with	ADP
asir-4687	14	7	an	an	DET
asir-4687	14	8	infinitely	infinitely	ADV
asir-4687	14	9	small	small	ADJ
asir-4687	14	10	radius	radius	NOUN
asir-4687	14	11	or	or	CCONJ
asir-4687	14	12	a	a	DET
asir-4687	14	13	tube	tube	NOUN
asir-4687	14	14	with	with	ADP
asir-4687	14	15	a	a	DET
asir-4687	14	16	finite	finite	ADJ
asir-4687	14	17	radius	radius	NOUN
asir-4687	14	18	a	a	PRON
asir-4687	14	19	is	be	AUX
asir-4687	14	20	used	use	VERB
asir-4687	14	21	as	as	ADP
asir-4687	14	22	a	a	DET
asir-4687	14	23	model	model	NOUN
asir-4687	14	24	of	of	ADP
asir-4687	14	25	a	a	DET
asir-4687	14	26	cylindrical	cylindrical	ADJ
asir-4687	14	27	radiator	radiator	NOUN
asir-4687	14	28	.	.	PUNCT
asir-4687	15	1	a	a	DET
asir-4687	15	2	conduction	conduction	NOUN
asir-4687	15	3	current	current	NOUN
asir-4687	15	4	𝐽(𝑧	𝐽(𝑧	NOUN
asir-4687	15	5	)	)	PUNCT
asir-4687	15	6	flows	flow	NOUN
asir-4687	15	7	along	along	ADP
asir-4687	15	8	the	the	DET
asir-4687	15	9	filament	filament	NOUN
asir-4687	15	10	,	,	PUNCT
asir-4687	15	11	which	which	PRON
asir-4687	15	12	coincides	coincide	VERB
asir-4687	15	13	,	,	PUNCT
asir-4687	15	14	for	for	ADP
asir-4687	15	15	example	example	NOUN
asir-4687	15	16	,	,	PUNCT
asir-4687	15	17	with	with	ADP
asir-4687	15	18	the	the	DET
asir-4687	15	19	z	z	NOUN
asir-4687	15	20	-	-	PUNCT
asir-4687	15	21	axis	axis	NOUN
asir-4687	15	22	.	.	PUNCT
asir-4687	16	1	when	when	SCONJ
asir-4687	16	2	the	the	DET
asir-4687	16	3	antenna	antenna	NOUN
asir-4687	16	4	is	be	AUX
asir-4687	16	5	excited	excite	VERB
asir-4687	16	6	by	by	ADP
asir-4687	16	7	one	one	NUM
asir-4687	16	8	generator	generator	NOUN
asir-4687	16	9	,	,	PUNCT
asir-4687	16	10	the	the	DET
asir-4687	16	11	current	current	NOUN
asir-4687	16	12	is	be	AUX
asir-4687	16	13	considered	consider	VERB
asir-4687	16	14	sinusoidal	sinusoidal	NOUN
asir-4687	16	15	based	base	VERB
asir-4687	16	16	on	on	ADP
asir-4687	16	17	the	the	DET
asir-4687	16	18	measurement	measurement	NOUN
asir-4687	16	19	results	result	NOUN
asir-4687	16	20	and	and	CCONJ
asir-4687	16	21	the	the	DET
asir-4687	16	22	simple	simple	ADJ
asir-4687	16	23	idea	idea	NOUN
asir-4687	16	24	that	that	SCONJ
asir-4687	16	25	when	when	SCONJ
asir-4687	16	26	the	the	DET
asir-4687	16	27	wires	wire	NOUN
asir-4687	16	28	of	of	ADP
asir-4687	16	29	an	an	DET
asir-4687	16	30	open	open	ADJ
asir-4687	16	31	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-4687	16	32	applied	apply	VERB
asir-4687	16	33	science	science	NOUN
asir-4687	16	34	and	and	CCONJ
asir-4687	16	35	innovative	innovative	ADJ
asir-4687	16	36	research	research	NOUN
asir-4687	16	37	vol	vol	NOUN
asir-4687	16	38	.	.	PROPN
asir-4687	16	39	6	6	NUM
asir-4687	16	40	,	,	PUNCT
asir-4687	16	41	no	no	INTJ
asir-4687	16	42	.	.	NOUN
asir-4687	16	43	2	2	NUM
asir-4687	16	44	,	,	PUNCT
asir-4687	16	45	2022	2022	NUM
asir-4687	16	46	44	44	NUM
asir-4687	16	47	published	publish	VERB
asir-4687	16	48	by	by	ADP
asir-4687	16	49	scholink	scholink	PROPN
asir-4687	16	50	inc	inc	PROPN
asir-4687	16	51	.	.	PROPN
asir-4687	16	52	two	two	NUM
asir-4687	16	53	-	-	PUNCT
asir-4687	16	54	wire	wire	NOUN
asir-4687	16	55	long	long	ADJ
asir-4687	16	56	line	line	NOUN
asir-4687	16	57	are	be	AUX
asir-4687	16	58	moved	move	VERB
asir-4687	16	59	apart	apart	ADV
asir-4687	16	60	in	in	ADP
asir-4687	16	61	different	different	ADJ
asir-4687	16	62	directions	direction	NOUN
asir-4687	16	63	,	,	PUNCT
asir-4687	16	64	the	the	DET
asir-4687	16	65	current	current	ADJ
asir-4687	16	66	distribution	distribution	NOUN
asir-4687	16	67	along	along	ADP
asir-4687	16	68	its	its	PRON
asir-4687	16	69	wires	wire	NOUN
asir-4687	16	70	changes	change	VERB
asir-4687	16	71	weakly	weakly	ADV
asir-4687	16	72	.	.	PUNCT
asir-4687	17	1	the	the	DET
asir-4687	17	2	solution	solution	NOUN
asir-4687	17	3	of	of	ADP
asir-4687	17	4	the	the	DET
asir-4687	17	5	integral	integral	ADJ
asir-4687	17	6	equations	equation	NOUN
asir-4687	17	7	for	for	ADP
asir-4687	17	8	the	the	DET
asir-4687	17	9	currents	current	NOUN
asir-4687	17	10	in	in	ADP
asir-4687	17	11	the	the	DET
asir-4687	17	12	radiators	radiator	NOUN
asir-4687	17	13	confirms	confirm	VERB
asir-4687	17	14	that	that	SCONJ
asir-4687	17	15	the	the	DET
asir-4687	17	16	sinusoidal	sinusoidal	ADJ
asir-4687	17	17	distribution	distribution	NOUN
asir-4687	17	18	is	be	AUX
asir-4687	17	19	the	the	DET
asir-4687	17	20	first	first	ADJ
asir-4687	17	21	approximation	approximation	NOUN
asir-4687	17	22	to	to	ADP
asir-4687	17	23	the	the	DET
asir-4687	17	24	true	true	ADJ
asir-4687	17	25	distribution	distribution	NOUN
asir-4687	17	26	.	.	PUNCT
asir-4687	18	1	2	2	X
asir-4687	18	2	.	.	X
asir-4687	18	3	integral	integral	ADJ
asir-4687	18	4	equations	equation	NOUN
asir-4687	18	5	the	the	DET
asir-4687	18	6	integral	integral	ADJ
asir-4687	18	7	equations	equation	NOUN
asir-4687	18	8	of	of	ADP
asir-4687	18	9	hallen	hallen	PROPN
asir-4687	18	10	and	and	CCONJ
asir-4687	18	11	leontovich	leontovich	NOUN
asir-4687	18	12	played	play	VERB
asir-4687	18	13	a	a	DET
asir-4687	18	14	most	most	ADV
asir-4687	18	15	important	important	ADJ
asir-4687	18	16	role	role	NOUN
asir-4687	18	17	in	in	ADP
asir-4687	18	18	the	the	DET
asir-4687	18	19	development	development	NOUN
asir-4687	18	20	of	of	ADP
asir-4687	18	21	antenna	antenna	NOUN
asir-4687	18	22	theory	theory	NOUN
asir-4687	18	23	.	.	PUNCT
asir-4687	19	1	they	they	PRON
asir-4687	19	2	are	be	AUX
asir-4687	19	3	based	base	VERB
asir-4687	19	4	on	on	ADP
asir-4687	19	5	the	the	DET
asir-4687	19	6	condition	condition	NOUN
asir-4687	19	7	𝐸𝑧(𝐽)|−𝐿≤𝑧≤𝐿	𝐸𝑧(𝐽)|−𝐿≤𝑧≤𝐿	NOUN
asir-4687	19	8	+	+	CCONJ
asir-4687	19	9	𝐾(𝑧	𝐾(𝑧	NOUN
asir-4687	19	10	)	)	PUNCT
asir-4687	19	11	=	=	SYM
asir-4687	19	12	0	0	NUM
asir-4687	19	13	,	,	PUNCT
asir-4687	19	14	according	accord	VERB
asir-4687	19	15	to	to	ADP
asir-4687	19	16	which	which	PRON
asir-4687	19	17	the	the	DET
asir-4687	19	18	resulting	result	VERB
asir-4687	19	19	field	field	NOUN
asir-4687	19	20	on	on	ADP
asir-4687	19	21	an	an	DET
asir-4687	19	22	ideally	ideally	ADV
asir-4687	19	23	conducting	conduct	VERB
asir-4687	19	24	metal	metal	NOUN
asir-4687	19	25	surface	surface	NOUN
asir-4687	19	26	,	,	PUNCT
asir-4687	19	27	which	which	PRON
asir-4687	19	28	is	be	AUX
asir-4687	19	29	the	the	DET
asir-4687	19	30	sum	sum	NOUN
asir-4687	19	31	of	of	ADP
asir-4687	19	32	the	the	DET
asir-4687	19	33	field	field	NOUN
asir-4687	19	34	𝐸𝑧(𝐽	𝐸𝑧(𝐽	PUNCT
asir-4687	19	35	)	)	PUNCT
asir-4687	19	36	,	,	PUNCT
asir-4687	19	37	created	create	VERB
asir-4687	19	38	by	by	ADP
asir-4687	19	39	the	the	DET
asir-4687	19	40	current	current	ADJ
asir-4687	19	41	𝐽(𝑧	𝐽(𝑧	PROPN
asir-4687	19	42	)	)	PUNCT
asir-4687	19	43	and	and	CCONJ
asir-4687	19	44	the	the	DET
asir-4687	19	45	external	external	ADJ
asir-4687	19	46	field	field	NOUN
asir-4687	19	47	𝐾(𝑧	𝐾(𝑧	NOUN
asir-4687	19	48	)	)	PUNCT
asir-4687	19	49	=	=	PUNCT
asir-4687	19	50	𝑒𝛿(𝑧	𝑒𝛿(𝑧	X
asir-4687	19	51	)	)	PUNCT
asir-4687	19	52	is	be	AUX
asir-4687	19	53	equal	equal	ADJ
asir-4687	19	54	to	to	ADP
asir-4687	19	55	zero	zero	NUM
asir-4687	19	56	.	.	PUNCT
asir-4687	20	1	there	there	PRON
asir-4687	20	2	is	be	VERB
asir-4687	20	3	no	no	DET
asir-4687	20	4	current	current	NOUN
asir-4687	20	5	at	at	ADP
asir-4687	20	6	the	the	DET
asir-4687	20	7	ends	end	NOUN
asir-4687	20	8	of	of	ADP
asir-4687	20	9	the	the	DET
asir-4687	20	10	radiator	radiator	NOUN
asir-4687	20	11	(	(	PUNCT
asir-4687	20	12	at	at	ADP
asir-4687	20	13	points	point	NOUN
asir-4687	20	14	𝑧	𝑧	X
asir-4687	20	15	=	=	SYM
asir-4687	20	16	±𝐿	±𝐿	NOUN
asir-4687	20	17	)	)	PUNCT
asir-4687	20	18	.	.	PUNCT
asir-4687	21	1	the	the	DET
asir-4687	21	2	equation	equation	NOUN
asir-4687	21	3	form	form	NOUN
asir-4687	21	4	is	be	AUX
asir-4687	21	5	mainly	mainly	ADV
asir-4687	21	6	determined	determine	VERB
asir-4687	21	7	by	by	ADP
asir-4687	21	8	the	the	DET
asir-4687	21	9	choice	choice	NOUN
asir-4687	21	10	of	of	ADP
asir-4687	21	11	the	the	DET
asir-4687	21	12	function	function	NOUN
asir-4687	21	13	𝐸(𝐽	𝐸(𝐽	NOUN
asir-4687	21	14	)	)	PUNCT
asir-4687	21	15	.	.	PUNCT
asir-4687	22	1	in	in	ADP
asir-4687	22	2	the	the	DET
asir-4687	22	3	case	case	NOUN
asir-4687	22	4	of	of	ADP
asir-4687	22	5	a	a	DET
asir-4687	22	6	tubular	tubular	ADJ
asir-4687	22	7	antenna	antenna	NOUN
asir-4687	22	8	we	we	PRON
asir-4687	22	9	obtain	obtain	VERB
asir-4687	22	10	the	the	DET
asir-4687	22	11	hallen	hallen	NOUN
asir-4687	22	12	equation	equation	NOUN
asir-4687	22	13	with	with	ADP
asir-4687	22	14	an	an	DET
asir-4687	22	15	exact	exact	ADJ
asir-4687	22	16	kernel	kernel	NOUN
asir-4687	22	17	,	,	PUNCT
asir-4687	22	18	in	in	ADP
asir-4687	22	19	the	the	DET
asir-4687	22	20	case	case	NOUN
asir-4687	22	21	of	of	ADP
asir-4687	22	22	an	an	DET
asir-4687	22	23	infinitely	infinitely	ADV
asir-4687	22	24	thin	thin	ADJ
asir-4687	22	25	filament	filament	NOUN
asir-4687	22	26	we	we	PRON
asir-4687	22	27	obtain	obtain	VERB
asir-4687	22	28	the	the	DET
asir-4687	22	29	hallen	hallen	NOUN
asir-4687	22	30	equation	equation	NOUN
asir-4687	22	31	for	for	ADP
asir-4687	22	32	the	the	DET
asir-4687	22	33	filament	filament	NOUN
asir-4687	22	34	.	.	PUNCT
asir-4687	23	1	the	the	DET
asir-4687	23	2	widely	widely	ADV
asir-4687	23	3	used	use	VERB
asir-4687	23	4	integral	integral	ADJ
asir-4687	23	5	equation	equation	NOUN
asir-4687	23	6	for	for	ADP
asir-4687	23	7	a	a	DET
asir-4687	23	8	radiator	radiator	NOUN
asir-4687	23	9	of	of	ADP
asir-4687	23	10	finite	finite	PROPN
asir-4687	23	11	radius	radius	NOUN
asir-4687	23	12	a	a	PRON
asir-4687	23	13	is	be	AUX
asir-4687	23	14	called	call	VERB
asir-4687	23	15	the	the	DET
asir-4687	23	16	equation	equation	NOUN
asir-4687	23	17	with	with	ADP
asir-4687	23	18	an	an	DET
asir-4687	23	19	approximate	approximate	ADJ
asir-4687	23	20	kernel	kernel	NOUN
asir-4687	23	21	:	:	PUNCT
asir-4687	23	22	∫	∫	PROPN
asir-4687	24	1	𝐽(𝜍)𝐺𝑑𝜍	𝐽(𝜍)𝐺𝑑𝜍	PUNCT
asir-4687	24	2	𝐿	𝐿	PROPN
asir-4687	24	3	−𝐿	−𝐿	NOUN
asir-4687	24	4	=	=	PUNCT
asir-4687	24	5	𝑗	𝑗	PROPN
asir-4687	24	6	1	1	NUM
asir-4687	24	7	𝑍0	𝑍0	PROPN
asir-4687	24	8	(	(	PUNCT
asir-4687	24	9	𝐶	𝐶	NOUN
asir-4687	24	10	𝑐𝑜𝑠	𝑐𝑜𝑠	NOUN
asir-4687	24	11	𝑘𝑧	𝑘𝑧	PRON
asir-4687	25	1	+	+	CCONJ
asir-4687	25	2	𝑒	𝑒	PROPN
asir-4687	25	3	2	2	NUM
asir-4687	25	4	𝑠𝑖𝑛|𝑧|	𝑠𝑖𝑛|𝑧|	NUM
asir-4687	25	5	)	)	PUNCT
asir-4687	25	6	.	.	PUNCT
asir-4687	26	1	here	here	ADV
asir-4687	26	2	𝐺	𝐺	PROPN
asir-4687	26	3	=	=	PUNCT
asir-4687	26	4	𝑒𝑥𝑝(−𝑗𝑘𝑅	𝑒𝑥𝑝(−𝑗𝑘𝑅	PROPN
asir-4687	26	5	)	)	PUNCT
asir-4687	26	6	(	(	PUNCT
asir-4687	26	7	4𝜋𝑅)⁄	4𝜋𝑅)⁄	NUM
asir-4687	26	8	,	,	PUNCT
asir-4687	26	9	𝑅	𝑅	PROPN
asir-4687	26	10	=	=	PUNCT
asir-4687	26	11	√(𝑧	√(𝑧	PROPN
asir-4687	27	1	−	−	PROPN
asir-4687	27	2	𝜍)2	𝜍)2	PROPN
asir-4687	27	3	+	+	CCONJ
asir-4687	27	4	𝑎2	𝑎2	PROPN
asir-4687	27	5	.	.	PUNCT
asir-4687	28	1	the	the	DET
asir-4687	28	2	solution	solution	NOUN
asir-4687	28	3	to	to	ADP
asir-4687	28	4	this	this	DET
asir-4687	28	5	equation	equation	NOUN
asir-4687	28	6	was	be	AUX
asir-4687	28	7	given	give	VERB
asir-4687	28	8	by	by	ADP
asir-4687	28	9	hallen	hallen	PROPN
asir-4687	28	10	himself	himself	PRON
asir-4687	28	11	(	(	PUNCT
asir-4687	28	12	1938	1938	NUM
asir-4687	28	13	)	)	PUNCT
asir-4687	28	14	,	,	PUNCT
asir-4687	28	15	a	a	DET
asir-4687	28	16	detailed	detailed	ADJ
asir-4687	28	17	description	description	NOUN
asir-4687	28	18	of	of	ADP
asir-4687	28	19	the	the	DET
asir-4687	28	20	solution	solution	NOUN
asir-4687	28	21	is	be	AUX
asir-4687	28	22	presented	present	VERB
asir-4687	28	23	in	in	ADP
asir-4687	28	24	the	the	DET
asir-4687	28	25	book	book	NOUN
asir-4687	28	26	of	of	ADP
asir-4687	28	27	aharoni	aharoni	NOUN
asir-4687	28	28	(	(	PUNCT
asir-4687	28	29	1946	1946	NUM
asir-4687	28	30	)	)	PUNCT
asir-4687	28	31	.	.	PUNCT
asir-4687	29	1	during	during	ADP
asir-4687	29	2	the	the	DET
asir-4687	29	3	solution	solution	NOUN
asir-4687	29	4	,	,	PUNCT
asir-4687	29	5	the	the	DET
asir-4687	29	6	method	method	NOUN
asir-4687	29	7	of	of	ADP
asir-4687	29	8	successive	successive	ADJ
asir-4687	29	9	approximations	approximation	NOUN
asir-4687	29	10	(	(	PUNCT
asir-4687	29	11	iterative	iterative	NOUN
asir-4687	29	12	process	process	NOUN
asir-4687	29	13	)	)	PUNCT
asir-4687	29	14	was	be	AUX
asir-4687	29	15	applied	apply	VERB
asir-4687	29	16	.	.	PUNCT
asir-4687	30	1	in	in	ADP
asir-4687	30	2	this	this	DET
asir-4687	30	3	case	case	NOUN
asir-4687	30	4	,	,	PUNCT
asir-4687	30	5	the	the	DET
asir-4687	30	6	function	function	NOUN
asir-4687	30	7	𝐽(𝑧	𝐽(𝑧	PROPN
asir-4687	30	8	)	)	PUNCT
asir-4687	30	9	is	be	AUX
asir-4687	30	10	expanded	expand	VERB
asir-4687	30	11	into	into	ADP
asir-4687	30	12	a	a	DET
asir-4687	30	13	series	series	NOUN
asir-4687	30	14	in	in	ADP
asir-4687	30	15	inverse	inverse	ADJ
asir-4687	30	16	powers	power	NOUN
asir-4687	30	17	of	of	ADP
asir-4687	30	18	the	the	DET
asir-4687	30	19	magnitude	magnitude	NOUN
asir-4687	30	20	ω	ω	NOUN
asir-4687	30	21	=	=	SYM
asir-4687	30	22	2	2	NUM
asir-4687	30	23	𝑙𝑛(2𝐿	𝑙𝑛(2𝐿	NUM
asir-4687	30	24	𝑎⁄	𝑎⁄	PROPN
asir-4687	30	25	)	)	PUNCT
asir-4687	30	26	.	.	PUNCT
asir-4687	31	1	the	the	DET
asir-4687	31	2	process	process	NOUN
asir-4687	31	3	,	,	PUNCT
asir-4687	31	4	proposed	propose	VERB
asir-4687	31	5	by	by	ADP
asir-4687	31	6	r.	r.	PROPN
asir-4687	31	7	king	king	PROPN
asir-4687	31	8	and	and	CCONJ
asir-4687	31	9	d.	d.	PROPN
asir-4687	31	10	middleton	middleton	PROPN
asir-4687	31	11	(	(	PUNCT
asir-4687	31	12	1956	1956	NUM
asir-4687	31	13	)	)	PUNCT
asir-4687	31	14	gives	give	VERB
asir-4687	31	15	more	more	ADV
asir-4687	31	16	accurate	accurate	ADJ
asir-4687	31	17	results	result	NOUN
asir-4687	31	18	.	.	PUNCT
asir-4687	32	1	in	in	ADP
asir-4687	32	2	it	it	PRON
asir-4687	32	3	,	,	PUNCT
asir-4687	32	4	the	the	DET
asir-4687	32	5	expansion	expansion	NOUN
asir-4687	32	6	parameter	parameter	NOUN
asir-4687	32	7	ω	ω	PROPN
asir-4687	32	8	is	be	AUX
asir-4687	32	9	replaced	replace	VERB
asir-4687	32	10	by	by	ADP
asir-4687	32	11	the	the	DET
asir-4687	32	12	magnitude	magnitude	NOUN
asir-4687	32	13	ψ	ψ	X
asir-4687	32	14	.	.	PUNCT
asir-4687	33	1	as	as	ADP
asir-4687	33	2	ψ	ψ	PROPN
asir-4687	33	3	,	,	PUNCT
asir-4687	33	4	the	the	DET
asir-4687	33	5	value	value	NOUN
asir-4687	33	6	of	of	ADP
asir-4687	33	7	the	the	DET
asir-4687	33	8	function	function	NOUN
asir-4687	33	9	ψ(z	ψ(z	PROPN
asir-4687	33	10	)	)	PUNCT
asir-4687	33	11	is	be	AUX
asir-4687	33	12	taken	take	VERB
asir-4687	33	13	,	,	PUNCT
asir-4687	33	14	which	which	PRON
asir-4687	33	15	is	be	AUX
asir-4687	33	16	proportional	proportional	ADJ
asir-4687	33	17	to	to	ADP
asir-4687	33	18	the	the	DET
asir-4687	33	19	ratio	ratio	NOUN
asir-4687	33	20	of	of	ADP
asir-4687	33	21	the	the	DET
asir-4687	33	22	vector	vector	NOUN
asir-4687	33	23	potential	potential	NOUN
asir-4687	33	24	to	to	ADP
asir-4687	33	25	the	the	DET
asir-4687	33	26	total	total	ADJ
asir-4687	33	27	current	current	NOUN
asir-4687	33	28	at	at	ADP
asir-4687	33	29	a	a	DET
asir-4687	33	30	point	point	NOUN
asir-4687	33	31	near	near	ADP
asir-4687	33	32	the	the	DET
asir-4687	33	33	maximum	maximum	ADJ
asir-4687	33	34	,	,	PUNCT
asir-4687	33	35	where	where	SCONJ
asir-4687	33	36	the	the	DET
asir-4687	33	37	value	value	NOUN
asir-4687	33	38	of	of	ADP
asir-4687	33	39	ψ(z	ψ(z	PROPN
asir-4687	33	40	)	)	PUNCT
asir-4687	33	41	is	be	AUX
asir-4687	33	42	almost	almost	ADV
asir-4687	33	43	constant	constant	ADJ
asir-4687	33	44	.	.	PUNCT
asir-4687	34	1	the	the	DET
asir-4687	34	2	first	first	ADJ
asir-4687	34	3	term	term	NOUN
asir-4687	34	4	in	in	ADP
asir-4687	34	5	the	the	DET
asir-4687	34	6	expansion	expansion	NOUN
asir-4687	34	7	of	of	ADP
asir-4687	34	8	the	the	DET
asir-4687	34	9	current	current	NOUN
asir-4687	34	10	in	in	ADP
asir-4687	34	11	a	a	DET
asir-4687	34	12	series	series	NOUN
asir-4687	34	13	has	have	VERB
asir-4687	34	14	the	the	DET
asir-4687	34	15	form	form	NOUN
asir-4687	34	16	𝐽0	𝐽0	NOUN
asir-4687	34	17	=	=	PUNCT
asir-4687	35	1	𝑗	𝑗	VERB
asir-4687	35	2	𝑒	𝑒	PROPN
asir-4687	35	3	60𝛹	60𝛹	NUM
asir-4687	35	4	𝑐𝑜𝑠	𝑐𝑜𝑠	PROPN
asir-4687	35	5	𝑘𝐿	𝑘𝐿	NOUN
asir-4687	35	6	𝑠𝑖𝑛	𝑠𝑖𝑛	VERB
asir-4687	35	7	𝑘(𝐿	𝑘(𝐿	NOUN
asir-4687	35	8	−	−	PROPN
asir-4687	35	9	|𝑧|	|𝑧|	PROPN
asir-4687	35	10	)	)	PUNCT
asir-4687	35	11	,	,	PUNCT
asir-4687	35	12	where	where	SCONJ
asir-4687	35	13	k	k	PROPN
asir-4687	35	14	is	be	AUX
asir-4687	35	15	the	the	DET
asir-4687	35	16	wave	wave	NOUN
asir-4687	35	17	propagation	propagation	NOUN
asir-4687	35	18	constant	constant	ADJ
asir-4687	35	19	along	along	ADP
asir-4687	35	20	the	the	DET
asir-4687	35	21	antenna	antenna	NOUN
asir-4687	35	22	wire	wire	NOUN
asir-4687	35	23	.	.	PUNCT
asir-4687	36	1	the	the	DET
asir-4687	36	2	integral	integral	ADJ
asir-4687	36	3	equation	equation	NOUN
asir-4687	36	4	of	of	ADP
asir-4687	36	5	leontovich	leontovich	NOUN
asir-4687	36	6	and	and	CCONJ
asir-4687	36	7	its	its	PRON
asir-4687	36	8	solution	solution	NOUN
asir-4687	36	9	are	be	AUX
asir-4687	36	10	described	describe	VERB
asir-4687	36	11	in	in	ADP
asir-4687	36	12	leontovich	leontovich	NOUN
asir-4687	36	13	and	and	CCONJ
asir-4687	36	14	levin	levin	PROPN
asir-4687	36	15	(	(	PUNCT
asir-4687	36	16	1944	1944	NUM
asir-4687	36	17	)	)	PUNCT
asir-4687	36	18	.	.	PUNCT
asir-4687	37	1	this	this	DET
asir-4687	37	2	equation	equation	NOUN
asir-4687	37	3	has	have	VERB
asir-4687	37	4	the	the	DET
asir-4687	37	5	form	form	NOUN
asir-4687	37	6	𝑑2𝐽	𝑑2𝐽	ADJ
asir-4687	37	7	𝑑𝑧2	𝑑𝑧2	NOUN
asir-4687	37	8	+	+	X
asir-4687	37	9	𝑘2𝐽	𝑘2𝐽	X
asir-4687	37	10	=	=	SYM
asir-4687	37	11	𝑗	𝑗	PROPN
asir-4687	37	12	𝑘	𝑘	PRON
asir-4687	37	13	30	30	NUM
asir-4687	37	14	𝜒𝐾(𝑧	𝜒𝐾(𝑧	NOUN
asir-4687	37	15	)	)	PUNCT
asir-4687	37	16	+	+	NUM
asir-4687	37	17	𝜒𝑊(𝐽	𝜒𝑊(𝐽	NOUN
asir-4687	37	18	)	)	PUNCT
asir-4687	37	19	.	.	PUNCT
asir-4687	38	1	here	here	ADV
asir-4687	38	2	χ	χ	X
asir-4687	38	3	=	=	SYM
asir-4687	38	4	1	1	NUM
asir-4687	38	5	ω⁄	ω⁄	PROPN
asir-4687	38	6	is	be	AUX
asir-4687	38	7	a	a	DET
asir-4687	38	8	small	small	ADJ
asir-4687	38	9	parameter	parameter	NOUN
asir-4687	38	10	,	,	PUNCT
asir-4687	38	11	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-4687	38	12	applied	apply	VERB
asir-4687	38	13	science	science	NOUN
asir-4687	38	14	and	and	CCONJ
asir-4687	38	15	innovative	innovative	ADJ
asir-4687	38	16	research	research	NOUN
asir-4687	38	17	vol	vol	NOUN
asir-4687	38	18	.	.	PROPN
asir-4687	39	1	6	6	NUM
asir-4687	39	2	,	,	PUNCT
asir-4687	39	3	no	no	INTJ
asir-4687	39	4	.	.	NOUN
asir-4687	39	5	2	2	NUM
asir-4687	39	6	,	,	PUNCT
asir-4687	39	7	2022	2022	NUM
asir-4687	39	8	45	45	NUM
asir-4687	39	9	published	publish	VERB
asir-4687	39	10	by	by	ADP
asir-4687	39	11	scholink	scholink	PROPN
asir-4687	39	12	inc	inc	PROPN
asir-4687	39	13	.	.	PROPN
asir-4687	39	14	𝜒𝑊(𝐽	𝜒𝑊(𝐽	NOUN
asir-4687	39	15	)	)	PUNCT
asir-4687	40	1	=	=	SYM
asir-4687	40	2	𝑑2𝑉	𝑑2𝑉	X
asir-4687	40	3	𝑑𝑧2	𝑑𝑧2	NOUN
asir-4687	40	4	+	+	CCONJ
asir-4687	40	5	𝑘2𝑉	𝑘2𝑉	NOUN
asir-4687	40	6	is	be	AUX
asir-4687	40	7	the	the	DET
asir-4687	40	8	emf	emf	NOUN
asir-4687	40	9	,	,	PUNCT
asir-4687	40	10	created	create	VERB
asir-4687	40	11	by	by	ADP
asir-4687	40	12	the	the	DET
asir-4687	40	13	antennas	antenna	NOUN
asir-4687	40	14	’	'	PUNCT
asir-4687	40	15	currents	current	NOUN
asir-4687	40	16	.	.	PUNCT
asir-4687	41	1	in	in	ADP
asir-4687	41	2	this	this	DET
asir-4687	41	3	equation	equation	NOUN
asir-4687	41	4	,	,	PUNCT
asir-4687	41	5	the	the	DET
asir-4687	41	6	logarithmic	logarithmic	ADJ
asir-4687	41	7	singularity	singularity	NOUN
asir-4687	41	8	is	be	AUX
asir-4687	41	9	excluded	exclude	VERB
asir-4687	41	10	and	and	CCONJ
asir-4687	41	11	there	there	PRON
asir-4687	41	12	is	be	VERB
asir-4687	41	13	no	no	DET
asir-4687	41	14	dependence	dependence	NOUN
asir-4687	41	15	on	on	ADP
asir-4687	41	16	the	the	DET
asir-4687	41	17	azimuth	azimuth	NOUN
asir-4687	41	18	φ	φ	PROPN
asir-4687	41	19	,	,	PUNCT
asir-4687	41	20	since	since	SCONJ
asir-4687	41	21	the	the	DET
asir-4687	41	22	integration	integration	NOUN
asir-4687	41	23	over	over	ADP
asir-4687	41	24	φ	φ	PROPN
asir-4687	41	25	has	have	AUX
asir-4687	41	26	already	already	ADV
asir-4687	41	27	been	be	AUX
asir-4687	41	28	performed	perform	VERB
asir-4687	41	29	.	.	PUNCT
asir-4687	42	1	nevertheless	nevertheless	ADV
asir-4687	42	2	,	,	PUNCT
asir-4687	42	3	it	it	PRON
asir-4687	42	4	is	be	AUX
asir-4687	42	5	equivalent	equivalent	ADJ
asir-4687	42	6	to	to	ADP
asir-4687	42	7	the	the	DET
asir-4687	42	8	hallen	hallen	PROPN
asir-4687	42	9	equation	equation	NOUN
asir-4687	42	10	with	with	ADP
asir-4687	42	11	an	an	DET
asir-4687	42	12	exact	exact	ADJ
asir-4687	42	13	kernel	kernel	NOUN
asir-4687	42	14	.	.	PUNCT
asir-4687	43	1	when	when	SCONJ
asir-4687	43	2	solving	solve	VERB
asir-4687	43	3	it	it	PRON
asir-4687	43	4	,	,	PUNCT
asir-4687	43	5	the	the	DET
asir-4687	43	6	method	method	NOUN
asir-4687	43	7	of	of	ADP
asir-4687	43	8	perturbations	perturbation	NOUN
asir-4687	43	9	is	be	AUX
asir-4687	43	10	used	use	VERB
asir-4687	43	11	,	,	PUNCT
asir-4687	43	12	i.e.	i.e.	X
asir-4687	43	13	,	,	PUNCT
asir-4687	43	14	the	the	DET
asir-4687	43	15	solution	solution	NOUN
asir-4687	43	16	is	be	AUX
asir-4687	43	17	sought	seek	VERB
asir-4687	43	18	in	in	ADP
asir-4687	43	19	the	the	DET
asir-4687	43	20	form	form	NOUN
asir-4687	43	21	of	of	ADP
asir-4687	43	22	a	a	DET
asir-4687	43	23	series	series	NOUN
asir-4687	43	24	in	in	ADP
asir-4687	43	25	powers	power	NOUN
asir-4687	43	26	of	of	ADP
asir-4687	43	27	the	the	DET
asir-4687	43	28	small	small	ADJ
asir-4687	43	29	parameter	parameter	NOUN
asir-4687	43	30	χ	χ	NOUN
asir-4687	43	31	:	:	PUNCT
asir-4687	43	32	𝐽(𝑧	𝐽(𝑧	X
asir-4687	43	33	)	)	PUNCT
asir-4687	43	34	=	=	SYM
asir-4687	43	35	𝜒𝐽1(𝑧	𝜒𝐽1(𝑧	PROPN
asir-4687	43	36	)	)	PUNCT
asir-4687	43	37	+	+	NUM
asir-4687	43	38	𝜒2𝐽2(𝑧	𝜒2𝐽2(𝑧	NOUN
asir-4687	43	39	)	)	PUNCT
asir-4687	43	40	+	+	NUM
asir-4687	43	41	𝜒3𝐽3(𝑧	𝜒3𝐽3(𝑧	NOUN
asir-4687	43	42	)	)	PUNCT
asir-4687	44	1	+	+	CCONJ
asir-4687	44	2	⋯	⋯	ADP
asir-4687	44	3	the	the	DET
asir-4687	44	4	noted	note	VERB
asir-4687	44	5	features	feature	NOUN
asir-4687	44	6	of	of	ADP
asir-4687	44	7	the	the	DET
asir-4687	44	8	equation	equation	NOUN
asir-4687	44	9	substantially	substantially	ADV
asir-4687	44	10	simplify	simplify	VERB
asir-4687	44	11	the	the	DET
asir-4687	44	12	calculations	calculation	NOUN
asir-4687	44	13	.	.	PUNCT
asir-4687	45	1	comparison	comparison	NOUN
asir-4687	45	2	of	of	ADP
asir-4687	45	3	the	the	DET
asir-4687	45	4	numerical	numerical	ADJ
asir-4687	45	5	results	result	NOUN
asir-4687	45	6	obtained	obtain	VERB
asir-4687	45	7	by	by	ADP
asir-4687	45	8	means	mean	NOUN
asir-4687	45	9	of	of	ADP
asir-4687	45	10	integral	integral	ADJ
asir-4687	45	11	equations	equation	NOUN
asir-4687	45	12	and	and	CCONJ
asir-4687	45	13	by	by	ADP
asir-4687	45	14	the	the	DET
asir-4687	45	15	method	method	NOUN
asir-4687	45	16	of	of	ADP
asir-4687	45	17	induced	induced	ADJ
asir-4687	45	18	emf	emf	NOUN
asir-4687	45	19	showed	show	VERB
asir-4687	45	20	that	that	SCONJ
asir-4687	45	21	for	for	ADP
asir-4687	45	22	a	a	DET
asir-4687	45	23	straight	straight	ADJ
asir-4687	45	24	metal	metal	NOUN
asir-4687	45	25	antenna	antenna	NOUN
asir-4687	45	26	without	without	ADP
asir-4687	45	27	losses	loss	NOUN
asir-4687	45	28	these	these	DET
asir-4687	45	29	results	result	NOUN
asir-4687	45	30	are	be	AUX
asir-4687	45	31	close	close	ADJ
asir-4687	45	32	to	to	ADP
asir-4687	45	33	each	each	DET
asir-4687	45	34	other	other	ADJ
asir-4687	45	35	in	in	ADP
asir-4687	45	36	most	most	ADJ
asir-4687	45	37	part	part	NOUN
asir-4687	45	38	of	of	ADP
asir-4687	45	39	the	the	DET
asir-4687	45	40	frequency	frequency	NOUN
asir-4687	45	41	range	range	NOUN
asir-4687	45	42	.	.	PUNCT
asir-4687	46	1	the	the	DET
asir-4687	46	2	similarity	similarity	NOUN
asir-4687	46	3	also	also	ADV
asir-4687	46	4	exists	exist	VERB
asir-4687	46	5	in	in	ADP
asir-4687	46	6	the	the	DET
asir-4687	46	7	same	same	ADJ
asir-4687	46	8	functions	function	NOUN
asir-4687	46	9	included	include	VERB
asir-4687	46	10	in	in	ADP
asir-4687	46	11	the	the	DET
asir-4687	46	12	obtained	obtain	VERB
asir-4687	46	13	results	result	NOUN
asir-4687	46	14	.	.	PUNCT
asir-4687	47	1	finally	finally	ADV
asir-4687	47	2	,	,	PUNCT
asir-4687	47	3	the	the	DET
asir-4687	47	4	question	question	NOUN
asir-4687	47	5	of	of	ADP
asir-4687	47	6	the	the	DET
asir-4687	47	7	similarity	similarity	NOUN
asir-4687	47	8	of	of	ADP
asir-4687	47	9	the	the	DET
asir-4687	47	10	both	both	DET
asir-4687	47	11	results	result	NOUN
asir-4687	47	12	was	be	AUX
asir-4687	47	13	resolved	resolve	VERB
asir-4687	47	14	when	when	SCONJ
asir-4687	47	15	a	a	DET
asir-4687	47	16	new	new	ADJ
asir-4687	47	17	version	version	NOUN
asir-4687	47	18	of	of	ADP
asir-4687	47	19	the	the	DET
asir-4687	47	20	leontovich	leontovich	NOUN
asir-4687	47	21	equation	equation	NOUN
asir-4687	47	22	solution	solution	NOUN
asir-4687	47	23	,	,	PUNCT
asir-4687	47	24	based	base	VERB
asir-4687	47	25	on	on	ADP
asir-4687	47	26	the	the	DET
asir-4687	47	27	mathematical	mathematical	ADJ
asir-4687	47	28	method	method	NOUN
asir-4687	47	29	of	of	ADP
asir-4687	47	30	variation	variation	NOUN
asir-4687	47	31	of	of	ADP
asir-4687	47	32	constants	constant	NOUN
asir-4687	47	33	,	,	PUNCT
asir-4687	47	34	was	be	AUX
asir-4687	47	35	developed	develop	VERB
asir-4687	47	36	.	.	PUNCT
asir-4687	48	1	the	the	DET
asir-4687	48	2	new	new	ADJ
asir-4687	48	3	solution	solution	NOUN
asir-4687	48	4	was	be	AUX
asir-4687	48	5	published	publish	VERB
asir-4687	48	6	for	for	ADP
asir-4687	48	7	the	the	DET
asir-4687	48	8	first	first	ADJ
asir-4687	48	9	time	time	NOUN
asir-4687	48	10	in	in	ADP
asir-4687	48	11	levin	levin	PROPN
asir-4687	48	12	(	(	PUNCT
asir-4687	48	13	1992	1992	NUM
asir-4687	48	14	)	)	PUNCT
asir-4687	48	15	and	and	CCONJ
asir-4687	48	16	described	describe	VERB
asir-4687	48	17	in	in	ADP
asir-4687	48	18	levin	levin	PROPN
asir-4687	48	19	(	(	PUNCT
asir-4687	48	20	2021	2021	NUM
asir-4687	48	21	)	)	PUNCT
asir-4687	48	22	.	.	PUNCT
asir-4687	49	1	with	with	ADP
asir-4687	49	2	its	its	PRON
asir-4687	49	3	help	help	NOUN
asir-4687	49	4	,	,	PUNCT
asir-4687	49	5	analytical	analytical	ADJ
asir-4687	49	6	expressions	expression	NOUN
asir-4687	49	7	were	be	AUX
asir-4687	49	8	obtained	obtain	VERB
asir-4687	49	9	for	for	ADP
asir-4687	49	10	the	the	DET
asir-4687	49	11	input	input	NOUN
asir-4687	49	12	impedance	impedance	NOUN
asir-4687	49	13	of	of	ADP
asir-4687	49	14	a	a	DET
asir-4687	49	15	straight	straight	ADJ
asir-4687	49	16	metal	metal	NOUN
asir-4687	49	17	antenna	antenna	NOUN
asir-4687	49	18	without	without	ADP
asir-4687	49	19	losses	loss	NOUN
asir-4687	49	20	,	,	PUNCT
asir-4687	49	21	which	which	PRON
asir-4687	49	22	completely	completely	ADV
asir-4687	49	23	coincided	coincide	VERB
asir-4687	49	24	with	with	ADP
asir-4687	49	25	the	the	DET
asir-4687	49	26	results	result	NOUN
asir-4687	49	27	of	of	ADP
asir-4687	49	28	the	the	DET
asir-4687	49	29	induced	induce	VERB
asir-4687	49	30	emf	emf	NOUN
asir-4687	49	31	method	method	NOUN
asir-4687	49	32	.	.	PUNCT
asir-4687	50	1	further	further	ADJ
asir-4687	50	2	development	development	NOUN
asir-4687	50	3	of	of	ADP
asir-4687	50	4	the	the	DET
asir-4687	50	5	new	new	ADJ
asir-4687	50	6	method	method	NOUN
asir-4687	50	7	was	be	AUX
asir-4687	50	8	based	base	VERB
asir-4687	50	9	on	on	ADP
asir-4687	50	10	the	the	DET
asir-4687	50	11	fact	fact	NOUN
asir-4687	50	12	that	that	SCONJ
asir-4687	50	13	when	when	SCONJ
asir-4687	50	14	calculating	calculate	VERB
asir-4687	50	15	the	the	DET
asir-4687	50	16	next	next	ADJ
asir-4687	50	17	member	member	NOUN
asir-4687	50	18	of	of	ADP
asir-4687	50	19	the	the	DET
asir-4687	50	20	series	series	NOUN
asir-4687	50	21	for	for	ADP
asir-4687	50	22	the	the	DET
asir-4687	50	23	current	current	NOUN
asir-4687	50	24	,	,	PUNCT
asir-4687	50	25	the	the	DET
asir-4687	50	26	field	field	NOUN
asir-4687	50	27	created	create	VERB
asir-4687	50	28	by	by	ADP
asir-4687	50	29	the	the	DET
asir-4687	50	30	previous	previous	ADJ
asir-4687	50	31	member	member	NOUN
asir-4687	50	32	of	of	ADP
asir-4687	50	33	the	the	DET
asir-4687	50	34	series	series	NOUN
asir-4687	50	35	,	,	PUNCT
asir-4687	50	36	i.e.	i.e.	X
asir-4687	50	37	,	,	PUNCT
asir-4687	50	38	the	the	DET
asir-4687	50	39	current	current	NOUN
asir-4687	50	40	of	of	ADP
asir-4687	50	41	a	a	DET
asir-4687	50	42	smaller	small	ADJ
asir-4687	50	43	order	order	NOUN
asir-4687	50	44	of	of	ADP
asir-4687	50	45	smallness	smallness	NOUN
asir-4687	50	46	,	,	PUNCT
asir-4687	50	47	was	be	AUX
asir-4687	50	48	taken	take	VERB
asir-4687	50	49	as	as	ADP
asir-4687	50	50	the	the	DET
asir-4687	50	51	external	external	ADJ
asir-4687	50	52	emf	emf	NOUN
asir-4687	50	53	:	:	PUNCT
asir-4687	50	54	𝑒𝑛−1(𝜍	𝑒𝑛−1(𝜍	PROPN
asir-4687	50	55	)	)	PUNCT
asir-4687	50	56	=	=	SYM
asir-4687	50	57	−𝐸𝜍(𝐽𝑛−1	−𝐸𝜍(𝐽𝑛−1	PROPN
asir-4687	50	58	)	)	PUNCT
asir-4687	50	59	.	.	PUNCT
asir-4687	51	1	this	this	DET
asir-4687	51	2	equality	equality	NOUN
asir-4687	51	3	provides	provide	VERB
asir-4687	51	4	the	the	DET
asir-4687	51	5	freedom	freedom	NOUN
asir-4687	51	6	to	to	PART
asir-4687	51	7	choose	choose	VERB
asir-4687	51	8	constant	constant	ADJ
asir-4687	51	9	coefficients	coefficient	NOUN
asir-4687	51	10	for	for	ADP
asir-4687	51	11	different	different	ADJ
asir-4687	51	12	members	member	NOUN
asir-4687	51	13	of	of	ADP
asir-4687	51	14	the	the	DET
asir-4687	51	15	series	series	NOUN
asir-4687	51	16	.	.	PUNCT
asir-4687	52	1	choosing	choose	VERB
asir-4687	52	2	the	the	DET
asir-4687	52	3	simplest	simple	ADJ
asir-4687	52	4	option	option	NOUN
asir-4687	52	5	𝐽𝑛	𝐽𝑛	PROPN
asir-4687	52	6	=	=	SYM
asir-4687	52	7	𝐽1	𝐽1	PROPN
asir-4687	52	8	,	,	PUNCT
asir-4687	52	9	it	it	PRON
asir-4687	52	10	is	be	AUX
asir-4687	52	11	easy	easy	ADJ
asir-4687	52	12	to	to	PART
asir-4687	52	13	show	show	VERB
asir-4687	52	14	that	that	SCONJ
asir-4687	52	15	the	the	DET
asir-4687	52	16	members	member	NOUN
asir-4687	52	17	of	of	ADP
asir-4687	52	18	the	the	DET
asir-4687	52	19	series	series	NOUN
asir-4687	52	20	form	form	VERB
asir-4687	52	21	a	a	DET
asir-4687	52	22	geometric	geometric	ADJ
asir-4687	52	23	progression	progression	NOUN
asir-4687	52	24	with	with	ADP
asir-4687	52	25	a	a	DET
asir-4687	52	26	constant	constant	ADJ
asir-4687	52	27	denominator	denominator	NOUN
asir-4687	52	28	𝑞	𝑞	X
asir-4687	52	29	=	=	NOUN
asir-4687	52	30	−𝜒	−𝜒	NOUN
asir-4687	52	31	,	,	PUNCT
asir-4687	52	32	and	and	CCONJ
asir-4687	52	33	that	that	PRON
asir-4687	52	34	allows	allow	VERB
asir-4687	52	35	to	to	PART
asir-4687	52	36	determine	determine	VERB
asir-4687	52	37	the	the	DET
asir-4687	52	38	total	total	ADJ
asir-4687	52	39	sum	sum	NOUN
asir-4687	52	40	of	of	ADP
asir-4687	52	41	the	the	DET
asir-4687	52	42	series	series	NOUN
asir-4687	52	43	,	,	PUNCT
asir-4687	52	44	and	and	CCONJ
asir-4687	52	45	hence	hence	ADV
asir-4687	52	46	the	the	DET
asir-4687	52	47	total	total	ADJ
asir-4687	52	48	impedance	impedance	NOUN
asir-4687	52	49	of	of	ADP
asir-4687	52	50	the	the	DET
asir-4687	52	51	antenna	antenna	NOUN
asir-4687	52	52	.	.	PUNCT
asir-4687	53	1	the	the	DET
asir-4687	53	2	results	result	NOUN
asir-4687	53	3	show	show	VERB
asir-4687	53	4	that	that	SCONJ
asir-4687	53	5	the	the	DET
asir-4687	53	6	series	series	NOUN
asir-4687	53	7	sum	sum	NOUN
asir-4687	53	8	is	be	AUX
asir-4687	53	9	close	close	ADJ
asir-4687	53	10	to	to	ADP
asir-4687	53	11	the	the	DET
asir-4687	53	12	sum	sum	NOUN
asir-4687	53	13	of	of	ADP
asir-4687	53	14	the	the	DET
asir-4687	53	15	first	first	ADJ
asir-4687	53	16	two	two	NUM
asir-4687	53	17	or	or	CCONJ
asir-4687	53	18	three	three	NUM
asir-4687	53	19	terms	term	NOUN
asir-4687	53	20	.	.	PUNCT
asir-4687	54	1	l.	l.	PROPN
asir-4687	54	2	a.	a.	PROPN
asir-4687	54	3	vainshtein	vainshtein	PROPN
asir-4687	54	4	(	(	PUNCT
asir-4687	54	5	1959	1959	NUM
asir-4687	54	6	)	)	PUNCT
asir-4687	54	7	came	come	VERB
asir-4687	54	8	to	to	ADP
asir-4687	54	9	similar	similar	ADJ
asir-4687	54	10	conclusions	conclusion	NOUN
asir-4687	54	11	when	when	SCONJ
asir-4687	54	12	solving	solve	VERB
asir-4687	54	13	the	the	DET
asir-4687	54	14	so	so	ADV
asir-4687	54	15	-	-	PUNCT
asir-4687	54	16	called	call	VERB
asir-4687	54	17	key	key	ADJ
asir-4687	54	18	equation	equation	NOUN
asir-4687	54	19	.	.	PUNCT
asir-4687	55	1	this	this	DET
asir-4687	55	2	fundamental	fundamental	ADJ
asir-4687	55	3	result	result	NOUN
asir-4687	55	4	is	be	AUX
asir-4687	55	5	,	,	PUNCT
asir-4687	55	6	to	to	ADP
asir-4687	55	7	a	a	DET
asir-4687	55	8	certain	certain	ADJ
asir-4687	55	9	extent	extent	NOUN
asir-4687	55	10	,	,	PUNCT
asir-4687	55	11	a	a	DET
asir-4687	55	12	distant	distant	ADJ
asir-4687	55	13	consequence	consequence	NOUN
asir-4687	55	14	of	of	ADP
asir-4687	55	15	the	the	DET
asir-4687	55	16	blast	blast	NOUN
asir-4687	55	17	wave	wave	NOUN
asir-4687	55	18	of	of	ADP
asir-4687	55	19	the	the	DET
asir-4687	55	20	middle	middle	NOUN
asir-4687	55	21	of	of	ADP
asir-4687	55	22	the	the	DET
asir-4687	55	23	last	last	ADJ
asir-4687	55	24	century	century	NOUN
asir-4687	55	25	.	.	PUNCT
asir-4687	56	1	on	on	ADP
asir-4687	56	2	figure	figure	NOUN
asir-4687	56	3	1	1	NUM
asir-4687	56	4	it	it	PRON
asir-4687	56	5	is	be	AUX
asir-4687	56	6	shown	show	VERB
asir-4687	56	7	,	,	PUNCT
asir-4687	56	8	as	as	ADP
asir-4687	56	9	an	an	DET
asir-4687	56	10	example	example	NOUN
asir-4687	56	11	,	,	PUNCT
asir-4687	56	12	the	the	DET
asir-4687	56	13	reactive	reactive	ADJ
asir-4687	56	14	component	component	NOUN
asir-4687	56	15	𝑋𝐴	𝑋𝐴	PROPN
asir-4687	56	16	of	of	ADP
asir-4687	56	17	the	the	DET
asir-4687	56	18	dipole	dipole	NOUN
asir-4687	56	19	impedance	impedance	NOUN
asir-4687	56	20	with	with	ADP
asir-4687	56	21	the	the	DET
asir-4687	56	22	ratio	ratio	NOUN
asir-4687	56	23	𝐿	𝐿	PROPN
asir-4687	56	24	𝑎⁄	𝑎⁄	NOUN
asir-4687	56	25	=	=	SYM
asir-4687	56	26	5	5	NUM
asir-4687	56	27	and	and	CCONJ
asir-4687	56	28	50	50	NUM
asir-4687	56	29	.	.	PUNCT
asir-4687	57	1	the	the	DET
asir-4687	57	2	total	total	ADJ
asir-4687	57	3	reactance	reactance	NOUN
asir-4687	57	4	is	be	AUX
asir-4687	57	5	given	give	VERB
asir-4687	57	6	by	by	ADP
asir-4687	57	7	a	a	DET
asir-4687	57	8	solid	solid	ADJ
asir-4687	57	9	line	line	NOUN
asir-4687	57	10	,	,	PUNCT
asir-4687	57	11	the	the	DET
asir-4687	57	12	second	second	ADJ
asir-4687	57	13	approximation	approximation	NOUN
asir-4687	57	14	by	by	ADP
asir-4687	57	15	a	a	DET
asir-4687	57	16	dotted	dotted	ADJ
asir-4687	57	17	line	line	NOUN
asir-4687	57	18	.	.	PUNCT
asir-4687	58	1	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	PROPN
asir-4687	58	2	applied	apply	VERB
asir-4687	58	3	science	science	NOUN
asir-4687	58	4	and	and	CCONJ
asir-4687	58	5	innovative	innovative	ADJ
asir-4687	58	6	research	research	NOUN
asir-4687	58	7	vol	vol	NOUN
asir-4687	58	8	.	.	PROPN
asir-4687	59	1	6	6	NUM
asir-4687	59	2	,	,	PUNCT
asir-4687	59	3	no	no	INTJ
asir-4687	59	4	.	.	NOUN
asir-4687	59	5	2	2	NUM
asir-4687	59	6	,	,	PUNCT
asir-4687	59	7	2022	2022	NUM
asir-4687	59	8	46	46	NUM
asir-4687	59	9	published	publish	VERB
asir-4687	59	10	by	by	ADP
asir-4687	59	11	scholink	scholink	PROPN
asir-4687	59	12	inc	inc	PROPN
asir-4687	59	13	.	.	PROPN
asir-4687	59	14	figure	figure	NOUN
asir-4687	59	15	1	1	NUM
asir-4687	59	16	.	.	PUNCT
asir-4687	60	1	the	the	DET
asir-4687	60	2	dipole	dipole	NOUN
asir-4687	60	3	reactivity	reactivity	NOUN
asir-4687	60	4	3	3	NUM
asir-4687	60	5	.	.	PUNCT
asir-4687	60	6	method	method	NOUN
asir-4687	60	7	of	of	ADP
asir-4687	60	8	induced	induced	ADJ
asir-4687	60	9	emf	emf	NOUN
asir-4687	60	10	and	and	CCONJ
asir-4687	60	11	poynting	poynte	VERB
asir-4687	60	12	vector	vector	NOUN
asir-4687	60	13	method	method	NOUN
asir-4687	60	14	the	the	DET
asir-4687	60	15	method	method	NOUN
asir-4687	60	16	of	of	ADP
asir-4687	60	17	integral	integral	ADJ
asir-4687	60	18	equations	equation	NOUN
asir-4687	60	19	breathed	breathe	VERB
asir-4687	60	20	new	new	ADJ
asir-4687	60	21	life	life	NOUN
asir-4687	60	22	into	into	ADP
asir-4687	60	23	other	other	ADJ
asir-4687	60	24	calculation	calculation	NOUN
asir-4687	60	25	methods	method	NOUN
asir-4687	60	26	,	,	PUNCT
asir-4687	60	27	in	in	ADP
asir-4687	60	28	particular	particular	ADJ
asir-4687	60	29	,	,	PUNCT
asir-4687	60	30	it	it	PRON
asir-4687	60	31	significantly	significantly	ADV
asir-4687	60	32	changed	change	VERB
asir-4687	60	33	the	the	DET
asir-4687	60	34	understanding	understanding	NOUN
asir-4687	60	35	of	of	ADP
asir-4687	60	36	a	a	DET
asir-4687	60	37	method	method	NOUN
asir-4687	60	38	of	of	ADP
asir-4687	60	39	induced	induced	ADJ
asir-4687	60	40	emf	emf	NOUN
asir-4687	60	41	.	.	PUNCT
asir-4687	61	1	as	as	SCONJ
asir-4687	61	2	is	be	AUX
asir-4687	61	3	known	know	VERB
asir-4687	61	4	,	,	PUNCT
asir-4687	61	5	it	it	PRON
asir-4687	61	6	is	be	AUX
asir-4687	61	7	based	base	VERB
asir-4687	61	8	on	on	ADP
asir-4687	61	9	equating	equate	VERB
asir-4687	61	10	the	the	DET
asir-4687	61	11	complex	complex	ADJ
asir-4687	61	12	power	power	NOUN
asir-4687	61	13	given	give	VERB
asir-4687	61	14	by	by	ADP
asir-4687	61	15	the	the	DET
asir-4687	61	16	source	source	NOUN
asir-4687	61	17	(	(	PUNCT
asir-4687	61	18	generator	generator	NOUN
asir-4687	61	19	)	)	PUNCT
asir-4687	61	20	and	and	CCONJ
asir-4687	61	21	the	the	DET
asir-4687	61	22	complex	complex	ADJ
asir-4687	61	23	power	power	NOUN
asir-4687	61	24	passing	pass	VERB
asir-4687	61	25	through	through	ADP
asir-4687	61	26	the	the	DET
asir-4687	61	27	closed	closed	ADJ
asir-4687	61	28	surface	surface	NOUN
asir-4687	61	29	surrounding	surround	VERB
asir-4687	61	30	the	the	DET
asir-4687	61	31	antenna	antenna	NOUN
asir-4687	61	32	.	.	PUNCT
asir-4687	62	1	combining	combine	VERB
asir-4687	62	2	a	a	DET
asir-4687	62	3	closed	closed	ADJ
asir-4687	62	4	cylindrical	cylindrical	ADJ
asir-4687	62	5	surface	surface	NOUN
asir-4687	62	6	with	with	ADP
asir-4687	62	7	the	the	DET
asir-4687	62	8	radiator	radiator	NOUN
asir-4687	62	9	surface	surface	NOUN
asir-4687	62	10	and	and	CCONJ
asir-4687	62	11	considering	consider	VERB
asir-4687	62	12	its	its	PRON
asir-4687	62	13	radius	radius	NOUN
asir-4687	62	14	to	to	PART
asir-4687	62	15	be	be	AUX
asir-4687	62	16	small	small	ADJ
asir-4687	62	17	,	,	PUNCT
asir-4687	62	18	it	it	PRON
asir-4687	62	19	is	be	AUX
asir-4687	62	20	easy	easy	ADJ
asir-4687	62	21	to	to	PART
asir-4687	62	22	make	make	VERB
asir-4687	62	23	sure	sure	ADJ
asir-4687	62	24	that	that	SCONJ
asir-4687	62	25	the	the	DET
asir-4687	62	26	complex	complex	ADJ
asir-4687	62	27	power	power	NOUN
asir-4687	62	28	passing	pass	VERB
asir-4687	62	29	through	through	ADP
asir-4687	62	30	the	the	DET
asir-4687	62	31	surface	surface	NOUN
asir-4687	62	32	is	be	AUX
asir-4687	62	33	determined	determine	VERB
asir-4687	62	34	as	as	ADP
asir-4687	62	35	a	a	DET
asir-4687	62	36	result	result	NOUN
asir-4687	62	37	of	of	ADP
asir-4687	62	38	integration	integration	NOUN
asir-4687	62	39	over	over	ADP
asir-4687	62	40	the	the	DET
asir-4687	62	41	cylinder	cylinder	NOUN
asir-4687	62	42	side	side	NOUN
asir-4687	62	43	surface	surface	NOUN
asir-4687	62	44	and	and	CCONJ
asir-4687	62	45	is	be	AUX
asir-4687	62	46	equal	equal	ADJ
asir-4687	62	47	to	to	ADP
asir-4687	62	48	𝑃1	𝑃1	NOUN
asir-4687	62	49	=	=	PUNCT
asir-4687	62	50	−∫	−∫	X
asir-4687	62	51	𝐸𝑧𝐽	𝐸𝑧𝐽	PROPN
asir-4687	62	52	∗(𝑧	∗(𝑧	NOUN
asir-4687	62	53	)	)	PUNCT
asir-4687	62	54	𝐿	𝐿	PROPN
asir-4687	62	55	−𝐿	−𝐿	NOUN
asir-4687	62	56	𝑑𝑧.	𝑑𝑧.	NOUN
asir-4687	62	57	if	if	SCONJ
asir-4687	62	58	the	the	DET
asir-4687	62	59	current	current	NOUN
asir-4687	62	60	is	be	AUX
asir-4687	62	61	excited	excite	VERB
asir-4687	62	62	by	by	ADP
asir-4687	62	63	a	a	DET
asir-4687	62	64	single	single	ADJ
asir-4687	62	65	generator	generator	NOUN
asir-4687	62	66	located	locate	VERB
asir-4687	62	67	in	in	ADP
asir-4687	62	68	the	the	DET
asir-4687	62	69	middle	middle	NOUN
asir-4687	62	70	of	of	ADP
asir-4687	62	71	the	the	DET
asir-4687	62	72	radiator	radiator	NOUN
asir-4687	62	73	,	,	PUNCT
asir-4687	62	74	then	then	ADV
asir-4687	62	75	the	the	DET
asir-4687	62	76	complex	complex	ADJ
asir-4687	62	77	power	power	NOUN
asir-4687	62	78	creating	create	VERB
asir-4687	62	79	by	by	ADP
asir-4687	62	80	it	it	PRON
asir-4687	62	81	is	be	AUX
asir-4687	62	82	equal	equal	ADJ
asir-4687	62	83	to	to	ADP
asir-4687	62	84	𝑃2	𝑃2	NOUN
asir-4687	62	85	=	=	SYM
asir-4687	62	86	|𝐽(0)|2𝑍𝐴	|𝐽(0)|2𝑍𝐴	NUM
asir-4687	62	87	,	,	PUNCT
asir-4687	62	88	where	where	SCONJ
asir-4687	62	89	𝑍𝐴	𝑍𝐴	PROPN
asir-4687	62	90	is	be	AUX
asir-4687	62	91	the	the	DET
asir-4687	62	92	input	input	NOUN
asir-4687	62	93	impedance	impedance	NOUN
asir-4687	62	94	of	of	ADP
asir-4687	62	95	the	the	DET
asir-4687	62	96	radiator	radiator	NOUN
asir-4687	62	97	.	.	PUNCT
asir-4687	63	1	equating	equate	VERB
asir-4687	63	2	both	both	DET
asir-4687	63	3	powers	power	NOUN
asir-4687	63	4	,	,	PUNCT
asir-4687	63	5	we	we	PRON
asir-4687	63	6	find	find	VERB
asir-4687	63	7	:	:	PUNCT
asir-4687	64	1	𝑍𝐴	𝑍𝐴	PROPN
asir-4687	64	2	=	=	SYM
asir-4687	64	3	−	−	PROPN
asir-4687	64	4	1	1	NUM
asir-4687	64	5	|𝐽(0)|2	|𝐽(0)|2	NOUN
asir-4687	64	6	∫	∫	PROPN
asir-4687	64	7	𝐸𝑧𝐽	𝐸𝑧𝐽	PROPN
asir-4687	64	8	∗(𝑧	∗(𝑧	PROPN
asir-4687	64	9	)	)	PUNCT
asir-4687	64	10	𝐿	𝐿	PROPN
asir-4687	64	11	−𝐿	−𝐿	NOUN
asir-4687	64	12	𝑑𝑧.	𝑑𝑧.	ADP
asir-4687	64	13	this	this	DET
asir-4687	64	14	expression	expression	NOUN
asir-4687	64	15	is	be	AUX
asir-4687	64	16	called	call	VERB
asir-4687	64	17	the	the	DET
asir-4687	64	18	first	first	ADJ
asir-4687	64	19	formulation	formulation	NOUN
asir-4687	64	20	of	of	ADP
asir-4687	64	21	the	the	DET
asir-4687	64	22	induced	induce	VERB
asir-4687	64	23	emf	emf	NOUN
asir-4687	64	24	method	method	NOUN
asir-4687	64	25	.	.	PUNCT
asir-4687	65	1	here	here	ADV
asir-4687	65	2	the	the	DET
asir-4687	65	3	quantity	quantity	NOUN
asir-4687	65	4	𝐼𝑚{𝐸𝑧𝐽(𝑧	𝐼𝑚{𝐸𝑧𝐽(𝑧	PROPN
asir-4687	65	5	)	)	PUNCT
asir-4687	65	6	}	}	PUNCT
asir-4687	65	7	has	have	VERB
asir-4687	65	8	no	no	DET
asir-4687	65	9	clear	clear	ADJ
asir-4687	65	10	physical	physical	ADJ
asir-4687	65	11	meaning	meaning	NOUN
asir-4687	65	12	.	.	PUNCT
asir-4687	66	1	the	the	DET
asir-4687	66	2	second	second	ADJ
asir-4687	66	3	formulation	formulation	NOUN
asir-4687	66	4	is	be	AUX
asir-4687	66	5	based	base	VERB
asir-4687	66	6	on	on	ADP
asir-4687	66	7	the	the	DET
asir-4687	66	8	theorem	theorem	NOUN
asir-4687	66	9	about	about	ADP
asir-4687	66	10	an	an	DET
asir-4687	66	11	oscillating	oscillate	VERB
asir-4687	66	12	power	power	NOUN
asir-4687	66	13	(	(	PUNCT
asir-4687	66	14	vainshtein	vainshtein	ADV
asir-4687	66	15	,	,	PUNCT
asir-4687	66	16	1957	1957	NUM
asir-4687	66	17	)	)	PUNCT
asir-4687	66	18	,	,	PUNCT
asir-4687	66	19	passing	pass	VERB
asir-4687	66	20	through	through	ADP
asir-4687	66	21	the	the	DET
asir-4687	66	22	surface	surface	NOUN
asir-4687	66	23	,	,	PUNCT
asir-4687	66	24	and	and	CCONJ
asir-4687	66	25	proceeds	proceed	NOUN
asir-4687	66	26	from	from	ADP
asir-4687	66	27	the	the	DET
asir-4687	66	28	equality	equality	NOUN
asir-4687	66	29	of	of	ADP
asir-4687	66	30	the	the	DET
asir-4687	66	31	instantaneous	instantaneous	ADJ
asir-4687	66	32	values	value	NOUN
asir-4687	66	33	of	of	ADP
asir-4687	66	34	the	the	DET
asir-4687	66	35	powers	power	NOUN
asir-4687	66	36	on	on	ADP
asir-4687	66	37	different	different	ADJ
asir-4687	66	38	sides	side	NOUN
asir-4687	66	39	of	of	ADP
asir-4687	66	40	this	this	DET
asir-4687	66	41	surface	surface	NOUN
asir-4687	66	42	.	.	PUNCT
asir-4687	67	1	the	the	DET
asir-4687	67	2	instantaneous	instantaneous	ADJ
asir-4687	67	3	power	power	NOUN
asir-4687	67	4	value	value	NOUN
asir-4687	67	5	is	be	AUX
asir-4687	67	6	equal	equal	ADJ
asir-4687	67	7	to	to	ADP
asir-4687	67	8	the	the	DET
asir-4687	67	9	product	product	NOUN
asir-4687	67	10	of	of	ADP
asir-4687	67	11	instantaneous	instantaneous	ADJ
asir-4687	67	12	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-4687	67	13	applied	apply	VERB
asir-4687	67	14	science	science	NOUN
asir-4687	67	15	and	and	CCONJ
asir-4687	67	16	innovative	innovative	ADJ
asir-4687	67	17	research	research	NOUN
asir-4687	67	18	vol	vol	NOUN
asir-4687	67	19	.	.	PROPN
asir-4687	68	1	6	6	NUM
asir-4687	68	2	,	,	PUNCT
asir-4687	68	3	no	no	INTJ
asir-4687	68	4	.	.	NOUN
asir-4687	68	5	2	2	NUM
asir-4687	68	6	,	,	PUNCT
asir-4687	68	7	2022	2022	NUM
asir-4687	68	8	47	47	NUM
asir-4687	68	9	published	publish	VERB
asir-4687	68	10	by	by	ADP
asir-4687	68	11	scholink	scholink	PROPN
asir-4687	68	12	inc	inc	PROPN
asir-4687	68	13	.	.	PROPN
asir-4687	68	14	values	value	NOUN
asir-4687	68	15	of	of	ADP
asir-4687	68	16	two	two	NUM
asir-4687	68	17	quantities	quantity	NOUN
asir-4687	68	18	,	,	PUNCT
asir-4687	68	19	in	in	ADP
asir-4687	68	20	this	this	DET
asir-4687	68	21	case	case	NOUN
asir-4687	69	1	𝐸𝑧	𝐸𝑧	PROPN
asir-4687	69	2	and	and	CCONJ
asir-4687	69	3	𝐽(𝑧	𝐽(𝑧	PROPN
asir-4687	69	4	)	)	PUNCT
asir-4687	69	5	.	.	PUNCT
asir-4687	70	1	as	as	SCONJ
asir-4687	70	2	shown	show	VERB
asir-4687	70	3	in	in	ADP
asir-4687	70	4	vainshtein	vainshtein	NOUN
asir-4687	70	5	(	(	PUNCT
asir-4687	70	6	1957	1957	NUM
asir-4687	70	7	)	)	PUNCT
asir-4687	70	8	,	,	PUNCT
asir-4687	70	9	the	the	DET
asir-4687	70	10	product	product	NOUN
asir-4687	70	11	𝑠𝑧(𝑡	𝑠𝑧(𝑡	NOUN
asir-4687	70	12	)	)	PUNCT
asir-4687	70	13	of	of	ADP
asir-4687	70	14	two	two	NUM
asir-4687	70	15	instantaneous	instantaneous	ADJ
asir-4687	70	16	values	value	NOUN
asir-4687	70	17	consists	consist	VERB
asir-4687	70	18	of	of	ADP
asir-4687	70	19	a	a	DET
asir-4687	70	20	constant	constant	ADJ
asir-4687	70	21	magnitude	magnitude	NOUN
asir-4687	70	22	𝑆	𝑆	PROPN
asir-4687	70	23	�	�	PROPN
asir-4687	70	24	̅	̅	NOUN
asir-4687	70	25	�	�	NOUN
asir-4687	70	26	,	,	PUNCT
asir-4687	70	27	equal	equal	ADJ
asir-4687	70	28	to	to	ADP
asir-4687	70	29	the	the	DET
asir-4687	70	30	average	average	ADJ
asir-4687	70	31	value	value	NOUN
asir-4687	70	32	over	over	ADP
asir-4687	70	33	the	the	DET
asir-4687	70	34	oscillation	oscillation	NOUN
asir-4687	70	35	period	period	NOUN
asir-4687	70	36	,	,	PUNCT
asir-4687	70	37	and	and	CCONJ
asir-4687	70	38	a	a	DET
asir-4687	70	39	variable	variable	ADJ
asir-4687	70	40	magnitude	magnitude	NOUN
asir-4687	70	41	�	�	PROPN
asir-4687	70	42	̃	̃	PROPN
asir-4687	70	43	�	�	PROPN
asir-4687	70	44	𝑧	𝑧	PART
asir-4687	70	45	,	,	PUNCT
asir-4687	70	46	oscillating	oscillate	VERB
asir-4687	70	47	in	in	ADP
asir-4687	70	48	time	time	NOUN
asir-4687	70	49	at	at	ADP
asir-4687	70	50	a	a	DET
asir-4687	70	51	double	double	ADJ
asir-4687	70	52	frequency	frequency	NOUN
asir-4687	70	53	.	.	PUNCT
asir-4687	71	1	at	at	ADP
asir-4687	71	2	that	that	DET
asir-4687	71	3	𝑆	𝑆	PROPN
asir-4687	71	4	�	�	PROPN
asir-4687	71	5	̅	̅	NOUN
asir-4687	71	6	�	�	NOUN
asir-4687	71	7	=	=	SYM
asir-4687	71	8	𝑅𝑒{𝐸𝑧𝐽	𝑅𝑒{𝐸𝑧𝐽	PUNCT
asir-4687	71	9	∗(𝑧	∗(𝑧	PROPN
asir-4687	71	10	)	)	PUNCT
asir-4687	71	11	}	}	PUNCT
asir-4687	71	12	,	,	PUNCT
asir-4687	71	13	�	�	PROPN
asir-4687	71	14	̃	̃	NOUN
asir-4687	71	15	�	�	PROPN
asir-4687	71	16	𝑧	𝑧	NOUN
asir-4687	71	17	=	=	NOUN
asir-4687	71	18	𝑅𝑒{𝐸𝑧𝐽(𝑧)𝑒	𝑅𝑒{𝐸𝑧𝐽(𝑧)𝑒	ADP
asir-4687	71	19	2𝑗𝜔𝑡	2𝑗𝜔𝑡	NOUN
asir-4687	71	20	}	}	PUNCT
asir-4687	71	21	.	.	PUNCT
asir-4687	72	1	this	this	PRON
asir-4687	72	2	implies	imply	VERB
asir-4687	72	3	the	the	DET
asir-4687	72	4	physical	physical	ADJ
asir-4687	72	5	meaning	meaning	NOUN
asir-4687	72	6	of	of	ADP
asir-4687	72	7	these	these	DET
asir-4687	72	8	quantities	quantity	NOUN
asir-4687	72	9	:	:	PUNCT
asir-4687	72	10	𝑆	𝑆	PROPN
asir-4687	72	11	�	�	PROPN
asir-4687	72	12	̅	̅	NOUN
asir-4687	72	13	�	�	NOUN
asir-4687	72	14	is	be	AUX
asir-4687	72	15	the	the	DET
asir-4687	72	16	active	active	ADJ
asir-4687	72	17	part	part	NOUN
asir-4687	72	18	of	of	ADP
asir-4687	72	19	the	the	DET
asir-4687	72	20	power	power	NOUN
asir-4687	72	21	flow	flow	NOUN
asir-4687	72	22	,	,	PUNCT
asir-4687	72	23	equal	equal	ADJ
asir-4687	72	24	to	to	ADP
asir-4687	72	25	its	its	PRON
asir-4687	72	26	average	average	ADJ
asir-4687	72	27	value	value	NOUN
asir-4687	72	28	;	;	PUNCT
asir-4687	72	29	𝐸𝑧𝐽(𝑧	𝐸𝑧𝐽(𝑧	PROPN
asir-4687	72	30	)	)	PUNCT
asir-4687	72	31	is	be	AUX
asir-4687	72	32	the	the	DET
asir-4687	72	33	amplitude	amplitude	NOUN
asir-4687	72	34	of	of	ADP
asir-4687	72	35	the	the	DET
asir-4687	72	36	power	power	NOUN
asir-4687	72	37	flux	flux	NOUN
asir-4687	72	38	,	,	PUNCT
asir-4687	72	39	oscillating	oscillate	VERB
asir-4687	72	40	at	at	ADP
asir-4687	72	41	a	a	DET
asir-4687	72	42	double	double	ADJ
asir-4687	72	43	frequency	frequency	NOUN
asir-4687	72	44	.	.	PUNCT
asir-4687	73	1	the	the	DET
asir-4687	73	2	oscillating	oscillate	VERB
asir-4687	73	3	power	power	NOUN
asir-4687	73	4	transmitted	transmit	VERB
asir-4687	73	5	through	through	ADP
asir-4687	73	6	the	the	DET
asir-4687	73	7	closed	closed	ADJ
asir-4687	73	8	surface	surface	NOUN
asir-4687	73	9	is	be	AUX
asir-4687	73	10	𝑃𝑂1	𝑃𝑂1	PROPN
asir-4687	73	11	=	=	SYM
asir-4687	73	12	−0.5	−0.5	X
asir-4687	73	13	∫𝐸𝑧𝐽(𝑧)𝑑𝑧	∫𝐸𝑧𝐽(𝑧)𝑑𝑧	NOUN
asir-4687	73	14	𝐿	𝐿	PROPN
asir-4687	73	15	−𝐿	−𝐿	PROPN
asir-4687	73	16	.	.	PUNCT
asir-4687	74	1	the	the	DET
asir-4687	74	2	oscillating	oscillate	VERB
asir-4687	74	3	power	power	NOUN
asir-4687	74	4	created	create	VERB
asir-4687	74	5	by	by	ADP
asir-4687	74	6	the	the	DET
asir-4687	74	7	generator	generator	NOUN
asir-4687	74	8	with	with	ADP
asir-4687	74	9	emf	emf	PROPN
asir-4687	74	10	e	e	PROPN
asir-4687	74	11	is	be	AUX
asir-4687	74	12	equal	equal	ADJ
asir-4687	74	13	to	to	PART
asir-4687	74	14	𝑃𝑂2	𝑃𝑂2	VERB
asir-4687	74	15	=	=	SYM
asir-4687	74	16	𝑒𝐽(0	𝑒𝐽(0	NOUN
asir-4687	74	17	)	)	PUNCT
asir-4687	74	18	=	=	PUNCT
asir-4687	75	1	𝐽2(0)𝑍𝐴.	𝐽2(0)𝑍𝐴.	X
asir-4687	75	2	equating	equate	VERB
asir-4687	75	3	these	these	DET
asir-4687	75	4	values	value	NOUN
asir-4687	75	5	,	,	PUNCT
asir-4687	75	6	we	we	PRON
asir-4687	75	7	find	find	VERB
asir-4687	75	8	:	:	PUNCT
asir-4687	76	1	𝑍𝐴	𝑍𝐴	PROPN
asir-4687	76	2	=	=	SYM
asir-4687	76	3	−	−	PROPN
asir-4687	76	4	1	1	NUM
asir-4687	76	5	𝐽2(0	𝐽2(0	NOUN
asir-4687	76	6	)	)	PUNCT
asir-4687	76	7	∫	∫	PROPN
asir-4687	76	8	𝐸𝑧𝐽(𝑧	𝐸𝑧𝐽(𝑧	PROPN
asir-4687	76	9	)	)	PUNCT
asir-4687	76	10	𝐿	𝐿	PROPN
asir-4687	76	11	−𝐿	−𝐿	NOUN
asir-4687	76	12	𝑑𝑧.	𝑑𝑧.	ADP
asir-4687	76	13	this	this	DET
asir-4687	76	14	expression	expression	NOUN
asir-4687	76	15	is	be	AUX
asir-4687	76	16	called	call	VERB
asir-4687	76	17	the	the	DET
asir-4687	76	18	second	second	ADJ
asir-4687	76	19	formulation	formulation	NOUN
asir-4687	76	20	of	of	ADP
asir-4687	76	21	the	the	DET
asir-4687	76	22	induced	induce	VERB
asir-4687	76	23	emf	emf	NOUN
asir-4687	76	24	method	method	NOUN
asir-4687	76	25	.	.	PUNCT
asir-4687	77	1	it	it	PRON
asir-4687	77	2	was	be	AUX
asir-4687	77	3	first	first	ADV
asir-4687	77	4	obtained	obtain	VERB
asir-4687	77	5	in	in	ADP
asir-4687	77	6	kontorovich	kontorovich	NOUN
asir-4687	77	7	(	(	PUNCT
asir-4687	77	8	1951	1951	NUM
asir-4687	77	9	)	)	PUNCT
asir-4687	77	10	in	in	ADP
asir-4687	77	11	accordance	accordance	NOUN
asir-4687	77	12	with	with	ADP
asir-4687	77	13	the	the	DET
asir-4687	77	14	principle	principle	NOUN
asir-4687	77	15	of	of	ADP
asir-4687	77	16	reciprocity	reciprocity	NOUN
asir-4687	77	17	.	.	PUNCT
asir-4687	78	1	as	as	SCONJ
asir-4687	78	2	shown	show	VERB
asir-4687	78	3	here	here	ADV
asir-4687	78	4	,	,	PUNCT
asir-4687	78	5	it	it	PRON
asir-4687	78	6	is	be	AUX
asir-4687	78	7	easily	easily	ADV
asir-4687	78	8	deduced	deduce	VERB
asir-4687	78	9	using	use	VERB
asir-4687	78	10	ratios	ratio	NOUN
asir-4687	78	11	between	between	ADP
asir-4687	78	12	the	the	DET
asir-4687	78	13	powers	power	NOUN
asir-4687	78	14	.	.	PUNCT
asir-4687	79	1	it	it	PRON
asir-4687	79	2	should	should	AUX
asir-4687	79	3	be	be	AUX
asir-4687	79	4	emphasized	emphasize	VERB
asir-4687	79	5	that	that	SCONJ
asir-4687	79	6	the	the	DET
asir-4687	79	7	derivation	derivation	NOUN
asir-4687	79	8	of	of	ADP
asir-4687	79	9	the	the	DET
asir-4687	79	10	second	second	ADJ
asir-4687	79	11	formulation	formulation	NOUN
asir-4687	79	12	is	be	AUX
asir-4687	79	13	strictly	strictly	ADV
asir-4687	79	14	made	make	VERB
asir-4687	79	15	,	,	PUNCT
asir-4687	79	16	while	while	SCONJ
asir-4687	79	17	in	in	ADP
asir-4687	79	18	the	the	DET
asir-4687	79	19	derivation	derivation	NOUN
asir-4687	79	20	of	of	ADP
asir-4687	79	21	the	the	DET
asir-4687	79	22	first	first	ADJ
asir-4687	79	23	formulation	formulation	NOUN
asir-4687	79	24	the	the	DET
asir-4687	79	25	concept	concept	NOUN
asir-4687	79	26	of	of	ADP
asir-4687	79	27	reactive	reactive	ADJ
asir-4687	79	28	power	power	NOUN
asir-4687	79	29	was	be	AUX
asir-4687	79	30	used	use	VERB
asir-4687	79	31	,	,	PUNCT
asir-4687	79	32	which	which	PRON
asir-4687	79	33	has	have	VERB
asir-4687	79	34	no	no	DET
asir-4687	79	35	physical	physical	ADJ
asir-4687	79	36	meaning	meaning	NOUN
asir-4687	79	37	.	.	PUNCT
asir-4687	80	1	an	an	DET
asir-4687	80	2	important	important	ADJ
asir-4687	80	3	advantage	advantage	NOUN
asir-4687	80	4	of	of	ADP
asir-4687	80	5	the	the	DET
asir-4687	80	6	new	new	ADJ
asir-4687	80	7	formulation	formulation	NOUN
asir-4687	80	8	is	be	AUX
asir-4687	80	9	its	its	PRON
asir-4687	80	10	applicability	applicability	NOUN
asir-4687	80	11	to	to	PART
asir-4687	80	12	lossy	lossy	ADJ
asir-4687	80	13	antennas	antenna	NOUN
asir-4687	80	14	and	and	CCONJ
asir-4687	80	15	to	to	ADP
asir-4687	80	16	antennas	antenna	NOUN
asir-4687	80	17	located	locate	VERB
asir-4687	80	18	in	in	ADP
asir-4687	80	19	lossy	lossy	ADJ
asir-4687	80	20	environments	environment	NOUN
asir-4687	80	21	.	.	PUNCT
asir-4687	81	1	the	the	DET
asir-4687	81	2	contradiction	contradiction	NOUN
asir-4687	81	3	between	between	ADP
asir-4687	81	4	the	the	DET
asir-4687	81	5	induced	induce	VERB
asir-4687	81	6	emf	emf	NOUN
asir-4687	81	7	method	method	NOUN
asir-4687	81	8	and	and	CCONJ
asir-4687	81	9	the	the	DET
asir-4687	81	10	reciprocity	reciprocity	NOUN
asir-4687	81	11	theorem	theorem	NOUN
asir-4687	81	12	was	be	AUX
asir-4687	81	13	eliminated	eliminate	VERB
asir-4687	81	14	.	.	PUNCT
asir-4687	82	1	the	the	DET
asir-4687	82	2	analysis	analysis	NOUN
asir-4687	82	3	also	also	ADV
asir-4687	82	4	showed	show	VERB
asir-4687	82	5	that	that	SCONJ
asir-4687	82	6	the	the	DET
asir-4687	82	7	second	second	ADJ
asir-4687	82	8	formulation	formulation	NOUN
asir-4687	82	9	,	,	PUNCT
asir-4687	82	10	in	in	ADP
asir-4687	82	11	contrast	contrast	NOUN
asir-4687	82	12	to	to	ADP
asir-4687	82	13	the	the	DET
asir-4687	82	14	first	first	ADJ
asir-4687	82	15	,	,	PUNCT
asir-4687	82	16	has	have	VERB
asir-4687	82	17	a	a	DET
asir-4687	82	18	stable	stable	ADJ
asir-4687	82	19	character	character	NOUN
asir-4687	82	20	.	.	PUNCT
asir-4687	83	1	simultaneously	simultaneously	ADV
asir-4687	83	2	with	with	ADP
asir-4687	83	3	the	the	DET
asir-4687	83	4	received	receive	VERB
asir-4687	83	5	correct	correct	ADJ
asir-4687	83	6	result	result	NOUN
asir-4687	83	7	,	,	PUNCT
asir-4687	83	8	the	the	DET
asir-4687	83	9	radiation	radiation	NOUN
asir-4687	83	10	process	process	NOUN
asir-4687	83	11	became	become	VERB
asir-4687	83	12	clear	clear	ADJ
asir-4687	83	13	.	.	PUNCT
asir-4687	84	1	the	the	DET
asir-4687	84	2	oscillating	oscillate	VERB
asir-4687	84	3	power	power	NOUN
asir-4687	84	4	theorem	theorem	NOUN
asir-4687	84	5	permitted	permit	VERB
asir-4687	84	6	to	to	PART
asir-4687	84	7	obtain	obtain	VERB
asir-4687	84	8	,	,	PUNCT
asir-4687	84	9	in	in	ADP
asir-4687	84	10	particular	particular	ADJ
asir-4687	84	11	,	,	PUNCT
asir-4687	84	12	a	a	DET
asir-4687	84	13	rigorous	rigorous	ADJ
asir-4687	84	14	solution	solution	NOUN
asir-4687	84	15	to	to	ADP
asir-4687	84	16	the	the	DET
asir-4687	84	17	problem	problem	NOUN
asir-4687	84	18	of	of	ADP
asir-4687	84	19	calculating	calculate	VERB
asir-4687	84	20	the	the	DET
asir-4687	84	21	loss	loss	NOUN
asir-4687	84	22	resistance	resistance	NOUN
asir-4687	84	23	in	in	ADP
asir-4687	84	24	the	the	DET
asir-4687	84	25	ground	ground	NOUN
asir-4687	84	26	for	for	ADP
asir-4687	84	27	a	a	DET
asir-4687	84	28	vertical	vertical	ADJ
asir-4687	84	29	monopole	monopole	NOUN
asir-4687	84	30	.	.	PUNCT
asir-4687	85	1	an	an	DET
asir-4687	85	2	analytical	analytical	ADJ
asir-4687	85	3	solution	solution	NOUN
asir-4687	85	4	to	to	ADP
asir-4687	85	5	the	the	DET
asir-4687	85	6	problems	problem	NOUN
asir-4687	85	7	about	about	ADP
asir-4687	85	8	an	an	DET
asir-4687	85	9	antenna	antenna	NOUN
asir-4687	85	10	radiation	radiation	NOUN
asir-4687	85	11	was	be	AUX
asir-4687	85	12	obtained	obtain	VERB
asir-4687	85	13	for	for	ADP
asir-4687	85	14	a	a	DET
asir-4687	85	15	comparatively	comparatively	ADV
asir-4687	85	16	small	small	ADJ
asir-4687	85	17	number	number	NOUN
asir-4687	85	18	of	of	ADP
asir-4687	85	19	simple	simple	ADJ
asir-4687	85	20	variants	variant	NOUN
asir-4687	85	21	of	of	ADP
asir-4687	85	22	radiators	radiator	NOUN
asir-4687	85	23	with	with	ADP
asir-4687	85	24	limited	limited	ADJ
asir-4687	85	25	dimensions	dimension	NOUN
asir-4687	85	26	located	locate	VERB
asir-4687	85	27	in	in	ADP
asir-4687	85	28	free	free	ADJ
asir-4687	85	29	space	space	NOUN
asir-4687	85	30	.	.	PUNCT
asir-4687	86	1	in	in	ADP
asir-4687	86	2	this	this	DET
asir-4687	86	3	regard	regard	NOUN
asir-4687	86	4	,	,	PUNCT
asir-4687	86	5	numerical	numerical	ADJ
asir-4687	86	6	methods	method	NOUN
asir-4687	86	7	are	be	AUX
asir-4687	86	8	widely	widely	ADV
asir-4687	86	9	used	use	VERB
asir-4687	86	10	.	.	PUNCT
asir-4687	87	1	this	this	DET
asir-4687	87	2	approach	approach	NOUN
asir-4687	87	3	is	be	AUX
asir-4687	87	4	implemented	implement	VERB
asir-4687	87	5	by	by	ADP
asir-4687	87	6	means	mean	NOUN
asir-4687	87	7	of	of	ADP
asir-4687	87	8	the	the	DET
asir-4687	87	9	moments	moment	NOUN
asir-4687	87	10	’	'	PUNCT
asir-4687	87	11	method	method	NOUN
asir-4687	87	12	.	.	PUNCT
asir-4687	88	1	unknown	unknown	ADJ
asir-4687	88	2	currents	current	NOUN
asir-4687	88	3	are	be	AUX
asir-4687	88	4	represented	represent	VERB
asir-4687	88	5	as	as	ADP
asir-4687	88	6	the	the	DET
asir-4687	88	7	sum	sum	NOUN
asir-4687	88	8	of	of	ADP
asir-4687	88	9	elementary	elementary	ADJ
asir-4687	88	10	currents	current	NOUN
asir-4687	88	11	multiplied	multiply	VERB
asir-4687	88	12	by	by	ADP
asir-4687	88	13	linearly	linearly	ADV
asir-4687	88	14	independent	independent	ADJ
asir-4687	88	15	functions	function	NOUN
asir-4687	88	16	,	,	PUNCT
asir-4687	88	17	which	which	PRON
asir-4687	88	18	are	be	AUX
asir-4687	88	19	called	call	VERB
asir-4687	88	20	basis	basis	NOUN
asir-4687	88	21	ones	one	NOUN
asir-4687	88	22	.	.	PUNCT
asir-4687	89	1	after	after	ADP
asir-4687	89	2	substitution	substitution	NOUN
asir-4687	89	3	of	of	ADP
asir-4687	89	4	the	the	DET
asir-4687	89	5	basis	basis	NOUN
asir-4687	89	6	functions	function	NOUN
asir-4687	89	7	,	,	PUNCT
asir-4687	89	8	both	both	DET
asir-4687	89	9	parts	part	NOUN
asir-4687	89	10	of	of	ADP
asir-4687	89	11	the	the	DET
asir-4687	89	12	integral	integral	ADJ
asir-4687	89	13	equation	equation	NOUN
asir-4687	89	14	are	be	AUX
asir-4687	89	15	sequentially	sequentially	ADV
asir-4687	89	16	multiplied	multiply	VERB
asir-4687	89	17	by	by	ADP
asir-4687	89	18	linearly	linearly	ADV
asir-4687	89	19	independent	independent	ADJ
asir-4687	89	20	functions	function	NOUN
asir-4687	89	21	of	of	ADP
asir-4687	89	22	the	the	DET
asir-4687	89	23	second	second	ADJ
asir-4687	89	24	system	system	NOUN
asir-4687	89	25	(	(	PUNCT
asir-4687	89	26	weight	weight	NOUN
asir-4687	89	27	functions	function	NOUN
asir-4687	89	28	)	)	PUNCT
asir-4687	89	29	with	with	ADP
asir-4687	89	30	integration	integration	NOUN
asir-4687	89	31	over	over	ADP
asir-4687	89	32	the	the	DET
asir-4687	89	33	antenna	antenna	NOUN
asir-4687	89	34	length	length	NOUN
asir-4687	89	35	.	.	PUNCT
asir-4687	90	1	as	as	ADP
asir-4687	90	2	a	a	DET
asir-4687	90	3	result	result	NOUN
asir-4687	90	4	,	,	PUNCT
asir-4687	90	5	the	the	DET
asir-4687	90	6	problem	problem	NOUN
asir-4687	90	7	is	be	AUX
asir-4687	90	8	reduced	reduce	VERB
asir-4687	90	9	to	to	ADP
asir-4687	90	10	solving	solve	VERB
asir-4687	90	11	a	a	DET
asir-4687	90	12	system	system	NOUN
asir-4687	90	13	of	of	ADP
asir-4687	90	14	linear	linear	PROPN
asir-4687	90	15	algebraic	algebraic	ADJ
asir-4687	90	16	equations	equation	NOUN
asir-4687	90	17	for	for	ADP
asir-4687	90	18	elementary	elementary	ADJ
asir-4687	90	19	currents	current	NOUN
asir-4687	90	20	with	with	ADP
asir-4687	90	21	coefficients	coefficient	NOUN
asir-4687	90	22	that	that	PRON
asir-4687	90	23	are	be	AUX
asir-4687	90	24	determined	determine	VERB
asir-4687	90	25	by	by	ADP
asir-4687	90	26	numerical	numerical	ADJ
asir-4687	90	27	integration	integration	NOUN
asir-4687	90	28	.	.	PUNCT
asir-4687	91	1	if	if	SCONJ
asir-4687	91	2	the	the	DET
asir-4687	91	3	system	system	NOUN
asir-4687	91	4	of	of	ADP
asir-4687	91	5	weight	weight	NOUN
asir-4687	91	6	functions	function	NOUN
asir-4687	91	7	coincides	coincide	VERB
asir-4687	91	8	with	with	ADP
asir-4687	91	9	the	the	DET
asir-4687	91	10	system	system	NOUN
asir-4687	91	11	of	of	ADP
asir-4687	91	12	basis	basis	NOUN
asir-4687	91	13	functions	function	NOUN
asir-4687	91	14	,	,	PUNCT
asir-4687	91	15	then	then	ADV
asir-4687	91	16	the	the	DET
asir-4687	91	17	resulting	result	VERB
asir-4687	91	18	version	version	NOUN
asir-4687	91	19	of	of	ADP
asir-4687	91	20	the	the	DET
asir-4687	91	21	moments	moment	NOUN
asir-4687	91	22	’	'	PUNCT
asir-4687	91	23	method	method	NOUN
asir-4687	91	24	is	be	AUX
asir-4687	91	25	called	call	VERB
asir-4687	91	26	the	the	DET
asir-4687	91	27	galerkin	galerkin	ADJ
asir-4687	91	28	method	method	NOUN
asir-4687	91	29	.	.	PUNCT
asir-4687	92	1	the	the	DET
asir-4687	92	2	variant	variant	NOUN
asir-4687	92	3	of	of	ADP
asir-4687	92	4	the	the	DET
asir-4687	92	5	such	such	ADJ
asir-4687	92	6	method	method	NOUN
asir-4687	92	7	chosen	choose	VERB
asir-4687	92	8	by	by	ADP
asir-4687	92	9	richmond	richmond	PROPN
asir-4687	92	10	(	(	PUNCT
asir-4687	92	11	1966	1966	NUM
asir-4687	92	12	)	)	PUNCT
asir-4687	92	13	uses	use	VERB
asir-4687	92	14	piecewise	piecewise	NOUN
asir-4687	92	15	sinusoidal	sinusoidal	NOUN
asir-4687	92	16	functions	function	NOUN
asir-4687	92	17	as	as	ADP
asir-4687	92	18	basis	basis	NOUN
asir-4687	92	19	and	and	CCONJ
asir-4687	92	20	weight	weight	NOUN
asir-4687	92	21	functions	function	NOUN
asir-4687	92	22	of	of	ADP
asir-4687	92	23	subdomains	subdomain	NOUN
asir-4687	92	24	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-4687	92	25	applied	apply	VERB
asir-4687	92	26	science	science	NOUN
asir-4687	92	27	and	and	CCONJ
asir-4687	92	28	innovative	innovative	ADJ
asir-4687	92	29	research	research	NOUN
asir-4687	92	30	vol	vol	NOUN
asir-4687	92	31	.	.	PROPN
asir-4687	93	1	6	6	NUM
asir-4687	93	2	,	,	PUNCT
asir-4687	93	3	no	no	INTJ
asir-4687	93	4	.	.	NOUN
asir-4687	93	5	2	2	NUM
asir-4687	93	6	,	,	PUNCT
asir-4687	93	7	2022	2022	NUM
asir-4687	93	8	48	48	NUM
asir-4687	93	9	published	publish	VERB
asir-4687	93	10	by	by	ADP
asir-4687	93	11	scholink	scholink	PROPN
asir-4687	93	12	inc	inc	PROPN
asir-4687	93	13	.	.	PROPN
asir-4687	93	14	and	and	CCONJ
asir-4687	93	15	provides	provide	VERB
asir-4687	93	16	fast	fast	ADJ
asir-4687	93	17	convergence	convergence	NOUN
asir-4687	93	18	of	of	ADP
asir-4687	93	19	the	the	DET
asir-4687	93	20	results	result	NOUN
asir-4687	93	21	.	.	PUNCT
asir-4687	94	1	the	the	DET
asir-4687	94	2	coefficients	coefficient	NOUN
asir-4687	94	3	of	of	ADP
asir-4687	94	4	algebraic	algebraic	ADJ
asir-4687	94	5	equations	equation	NOUN
asir-4687	94	6	are	be	AUX
asir-4687	94	7	closed	closed	ADJ
asir-4687	94	8	expressions	expression	NOUN
asir-4687	94	9	,	,	PUNCT
asir-4687	94	10	which	which	PRON
asir-4687	94	11	coincide	coincide	VERB
asir-4687	94	12	with	with	ADP
asir-4687	94	13	the	the	DET
asir-4687	94	14	mutual	mutual	ADJ
asir-4687	94	15	impedances	impedance	NOUN
asir-4687	94	16	between	between	ADP
asir-4687	94	17	isolated	isolated	ADJ
asir-4687	94	18	short	short	ADJ
asir-4687	94	19	dipoles	dipole	NOUN
asir-4687	94	20	.	.	PUNCT
asir-4687	95	1	therefore	therefore	ADV
asir-4687	95	2	,	,	PUNCT
asir-4687	95	3	the	the	DET
asir-4687	95	4	richmond	richmond	NOUN
asir-4687	95	5	method	method	NOUN
asir-4687	95	6	was	be	AUX
asir-4687	95	7	called	call	VERB
asir-4687	95	8	the	the	DET
asir-4687	95	9	generalized	generalize	VERB
asir-4687	95	10	induced	induce	VERB
asir-4687	95	11	emf	emf	NOUN
asir-4687	95	12	method	method	NOUN
asir-4687	95	13	.	.	PUNCT
asir-4687	96	1	the	the	DET
asir-4687	96	2	generalized	generalized	ADJ
asir-4687	96	3	method	method	NOUN
asir-4687	96	4	of	of	ADP
asir-4687	96	5	induced	induced	ADJ
asir-4687	96	6	emf	emf	NOUN
asir-4687	96	7	permits	permit	NOUN
asir-4687	96	8	to	to	PART
asir-4687	96	9	determine	determine	VERB
asir-4687	96	10	and	and	CCONJ
asir-4687	96	11	,	,	PUNCT
asir-4687	96	12	in	in	ADP
asir-4687	96	13	many	many	ADJ
asir-4687	96	14	cases	case	NOUN
asir-4687	96	15	,	,	PUNCT
asir-4687	96	16	to	to	PART
asir-4687	96	17	weaken	weaken	VERB
asir-4687	96	18	the	the	DET
asir-4687	96	19	effect	effect	NOUN
asir-4687	96	20	of	of	ADP
asir-4687	96	21	metal	metal	NOUN
asir-4687	96	22	structures	structure	NOUN
asir-4687	96	23	located	locate	VERB
asir-4687	96	24	near	near	ADP
asir-4687	96	25	the	the	DET
asir-4687	96	26	antenna	antenna	NOUN
asir-4687	96	27	on	on	ADP
asir-4687	96	28	its	its	PRON
asir-4687	96	29	properties	property	NOUN
asir-4687	96	30	.	.	PUNCT
asir-4687	97	1	this	this	DET
asir-4687	97	2	influence	influence	NOUN
asir-4687	97	3	is	be	AUX
asir-4687	97	4	especially	especially	ADV
asir-4687	97	5	great	great	ADJ
asir-4687	97	6	on	on	ADP
asir-4687	97	7	moving	move	VERB
asir-4687	97	8	objects	object	NOUN
asir-4687	97	9	(	(	PUNCT
asir-4687	97	10	on	on	ADP
asir-4687	97	11	cars	car	NOUN
asir-4687	97	12	,	,	PUNCT
asir-4687	97	13	ships	ship	NOUN
asir-4687	97	14	)	)	PUNCT
asir-4687	97	15	,	,	PUNCT
asir-4687	97	16	where	where	SCONJ
asir-4687	97	17	it	it	PRON
asir-4687	97	18	is	be	AUX
asir-4687	97	19	necessary	necessary	ADJ
asir-4687	97	20	to	to	PART
asir-4687	97	21	deal	deal	VERB
asir-4687	97	22	with	with	ADP
asir-4687	97	23	spatial	spatial	ADJ
asir-4687	97	24	restrictions	restriction	NOUN
asir-4687	97	25	.	.	PUNCT
asir-4687	98	1	replacing	replace	VERB
asir-4687	98	2	metal	metal	NOUN
asir-4687	98	3	surfaces	surface	NOUN
asir-4687	98	4	with	with	ADP
asir-4687	98	5	objects	object	NOUN
asir-4687	98	6	of	of	ADP
asir-4687	98	7	simple	simple	ADJ
asir-4687	98	8	shape	shape	NOUN
asir-4687	98	9	,	,	PUNCT
asir-4687	98	10	convenient	convenient	ADJ
asir-4687	98	11	for	for	ADP
asir-4687	98	12	calculation	calculation	NOUN
asir-4687	98	13	,	,	PUNCT
asir-4687	98	14	gives	give	VERB
asir-4687	98	15	unsuitable	unsuitable	ADJ
asir-4687	98	16	results	result	NOUN
asir-4687	98	17	.	.	PUNCT
asir-4687	99	1	the	the	DET
asir-4687	99	2	method	method	NOUN
asir-4687	99	3	of	of	ADP
asir-4687	99	4	analysis	analysis	NOUN
asir-4687	99	5	based	base	VERB
asir-4687	99	6	on	on	ADP
asir-4687	99	7	replacing	replace	VERB
asir-4687	99	8	a	a	DET
asir-4687	99	9	metal	metal	NOUN
asir-4687	99	10	body	body	NOUN
asir-4687	99	11	with	with	ADP
asir-4687	99	12	a	a	DET
asir-4687	99	13	system	system	NOUN
asir-4687	99	14	of	of	ADP
asir-4687	99	15	thin	thin	ADJ
asir-4687	99	16	wires	wire	NOUN
asir-4687	99	17	is	be	AUX
asir-4687	99	18	much	much	ADV
asir-4687	99	19	more	more	ADV
asir-4687	99	20	efficient	efficient	ADJ
asir-4687	99	21	(	(	PUNCT
asir-4687	99	22	richmond	richmond	NOUN
asir-4687	99	23	,	,	PUNCT
asir-4687	99	24	1966	1966	NUM
asir-4687	99	25	;	;	PUNCT
asir-4687	99	26	perini	perini	PROPN
asir-4687	99	27	&	&	CCONJ
asir-4687	99	28	buchanan	buchanan	PROPN
asir-4687	99	29	,	,	PUNCT
asir-4687	99	30	1982	1982	NUM
asir-4687	99	31	)	)	PUNCT
asir-4687	99	32	.	.	PUNCT
asir-4687	100	1	in	in	ADP
asir-4687	100	2	this	this	DET
asir-4687	100	3	case	case	NOUN
asir-4687	100	4	,	,	PUNCT
asir-4687	100	5	there	there	PRON
asir-4687	100	6	is	be	VERB
asir-4687	100	7	no	no	DET
asir-4687	100	8	need	need	NOUN
asir-4687	100	9	to	to	PART
asir-4687	100	10	idealize	idealize	VERB
asir-4687	100	11	,	,	PUNCT
asir-4687	100	12	for	for	ADP
asir-4687	100	13	example	example	NOUN
asir-4687	100	14	,	,	PUNCT
asir-4687	100	15	the	the	DET
asir-4687	100	16	shape	shape	NOUN
asir-4687	100	17	of	of	ADP
asir-4687	100	18	a	a	DET
asir-4687	100	19	metal	metal	NOUN
asir-4687	100	20	superstructure	superstructure	NOUN
asir-4687	100	21	or	or	CCONJ
asir-4687	100	22	consider	consider	VERB
asir-4687	100	23	its	its	PRON
asir-4687	100	24	transverse	transverse	NOUN
asir-4687	100	25	dimensions	dimension	NOUN
asir-4687	100	26	to	to	PART
asir-4687	100	27	be	be	AUX
asir-4687	100	28	small	small	ADJ
asir-4687	100	29	.	.	PUNCT
asir-4687	101	1	the	the	DET
asir-4687	101	2	results	result	NOUN
asir-4687	101	3	of	of	ADP
asir-4687	101	4	calculating	calculate	VERB
asir-4687	101	5	the	the	DET
asir-4687	101	6	directional	directional	ADJ
asir-4687	101	7	patterns	pattern	NOUN
asir-4687	101	8	of	of	ADP
asir-4687	101	9	whip	whip	NOUN
asir-4687	101	10	antennas	antenna	NOUN
asir-4687	101	11	located	locate	VERB
asir-4687	101	12	near	near	ADP
asir-4687	101	13	superstructures	superstructure	NOUN
asir-4687	101	14	of	of	ADP
asir-4687	101	15	different	different	ADJ
asir-4687	101	16	heights	height	NOUN
asir-4687	101	17	and	and	CCONJ
asir-4687	101	18	shapes	shape	NOUN
asir-4687	101	19	at	at	ADP
asir-4687	101	20	different	different	ADJ
asir-4687	101	21	frequencies	frequency	NOUN
asir-4687	101	22	of	of	ADP
asir-4687	101	23	the	the	DET
asir-4687	101	24	hf	hf	ADJ
asir-4687	101	25	range	range	NOUN
asir-4687	101	26	are	be	AUX
asir-4687	101	27	given	give	VERB
asir-4687	101	28	,	,	PUNCT
asir-4687	101	29	in	in	ADP
asir-4687	101	30	particular	particular	ADJ
asir-4687	101	31	,	,	PUNCT
asir-4687	101	32	in	in	ADP
asir-4687	101	33	levin	levin	PROPN
asir-4687	101	34	(	(	PUNCT
asir-4687	101	35	1998	1998	NUM
asir-4687	101	36	)	)	PUNCT
asir-4687	101	37	.	.	PUNCT
asir-4687	102	1	in	in	ADP
asir-4687	102	2	the	the	DET
asir-4687	102	3	same	same	ADJ
asir-4687	102	4	books	book	NOUN
asir-4687	102	5	the	the	DET
asir-4687	102	6	characteristics	characteristic	NOUN
asir-4687	102	7	of	of	ADP
asir-4687	102	8	antennas	antenna	NOUN
asir-4687	102	9	installed	instal	VERB
asir-4687	102	10	on	on	ADP
asir-4687	102	11	one	one	NUM
asir-4687	102	12	of	of	ADP
asir-4687	102	13	the	the	DET
asir-4687	102	14	ship	ship	NOUN
asir-4687	102	15	’s	’s	PART
asir-4687	102	16	decks	deck	NOUN
asir-4687	102	17	with	with	ADP
asir-4687	102	18	help	help	NOUN
asir-4687	102	19	of	of	ADP
asir-4687	102	20	brackets	bracket	NOUN
asir-4687	102	21	also	also	ADV
asir-4687	102	22	examined	examine	VERB
asir-4687	102	23	.	.	PUNCT
asir-4687	103	1	as	as	SCONJ
asir-4687	103	2	can	can	AUX
asir-4687	103	3	be	be	AUX
asir-4687	103	4	seen	see	VERB
asir-4687	103	5	from	from	ADP
asir-4687	103	6	the	the	DET
asir-4687	103	7	results	result	NOUN
asir-4687	103	8	,	,	PUNCT
asir-4687	103	9	the	the	DET
asir-4687	103	10	placement	placement	NOUN
asir-4687	103	11	conditions	condition	NOUN
asir-4687	103	12	change	change	VERB
asir-4687	103	13	all	all	DET
asir-4687	103	14	characteristics	characteristic	NOUN
asir-4687	103	15	of	of	ADP
asir-4687	103	16	the	the	DET
asir-4687	103	17	antennas	antenna	NOUN
asir-4687	103	18	,	,	PUNCT
asir-4687	103	19	and	and	CCONJ
asir-4687	103	20	the	the	DET
asir-4687	103	21	coincidence	coincidence	NOUN
asir-4687	103	22	of	of	ADP
asir-4687	103	23	the	the	DET
asir-4687	103	24	calculation	calculation	NOUN
asir-4687	103	25	and	and	CCONJ
asir-4687	103	26	experiment	experiment	NOUN
asir-4687	103	27	indirectly	indirectly	ADV
asir-4687	103	28	confirms	confirm	VERB
asir-4687	103	29	the	the	DET
asir-4687	103	30	correctness	correctness	NOUN
asir-4687	103	31	of	of	ADP
asir-4687	103	32	selecting	select	VERB
asir-4687	103	33	the	the	DET
asir-4687	103	34	calculated	calculated	ADJ
asir-4687	103	35	structure	structure	NOUN
asir-4687	103	36	consisting	consist	VERB
asir-4687	103	37	of	of	ADP
asir-4687	103	38	wires	wire	NOUN
asir-4687	103	39	.	.	PUNCT
asir-4687	104	1	it	it	PRON
asir-4687	104	2	is	be	AUX
asir-4687	104	3	possible	possible	ADJ
asir-4687	104	4	to	to	PART
asir-4687	104	5	weaken	weaken	VERB
asir-4687	104	6	the	the	DET
asir-4687	104	7	influence	influence	NOUN
asir-4687	104	8	of	of	ADP
asir-4687	104	9	superstructures	superstructure	NOUN
asir-4687	104	10	by	by	ADP
asir-4687	104	11	using	use	VERB
asir-4687	104	12	antennas	antenna	NOUN
asir-4687	104	13	with	with	ADP
asir-4687	104	14	the	the	DET
asir-4687	104	15	required	required	ADJ
asir-4687	104	16	characteristics	characteristic	NOUN
asir-4687	104	17	.	.	PUNCT
asir-4687	105	1	if	if	SCONJ
asir-4687	105	2	,	,	PUNCT
asir-4687	105	3	for	for	ADP
asir-4687	105	4	example	example	NOUN
asir-4687	105	5	,	,	PUNCT
asir-4687	105	6	the	the	DET
asir-4687	105	7	superstructure	superstructure	NOUN
asir-4687	105	8	sharply	sharply	ADV
asir-4687	105	9	attenuates	attenuate	VERB
asir-4687	105	10	the	the	DET
asir-4687	105	11	signals	signal	NOUN
asir-4687	105	12	of	of	ADP
asir-4687	105	13	an	an	DET
asir-4687	105	14	antenna	antenna	NOUN
asir-4687	105	15	or	or	CCONJ
asir-4687	105	16	antenna	antenna	NOUN
asir-4687	105	17	array	array	NOUN
asir-4687	105	18	located	locate	VERB
asir-4687	105	19	near	near	ADP
asir-4687	105	20	it	it	PRON
asir-4687	105	21	in	in	ADP
asir-4687	105	22	a	a	DET
asir-4687	105	23	given	give	VERB
asir-4687	105	24	direction	direction	NOUN
asir-4687	105	25	,	,	PUNCT
asir-4687	105	26	then	then	ADV
asir-4687	105	27	this	this	DET
asir-4687	105	28	disadvantage	disadvantage	NOUN
asir-4687	105	29	can	can	AUX
asir-4687	105	30	be	be	AUX
asir-4687	105	31	eliminated	eliminate	VERB
asir-4687	105	32	by	by	ADP
asir-4687	105	33	using	use	VERB
asir-4687	105	34	radiators	radiator	NOUN
asir-4687	105	35	of	of	ADP
asir-4687	105	36	a	a	DET
asir-4687	105	37	greater	great	ADJ
asir-4687	105	38	height	height	NOUN
asir-4687	105	39	.	.	PUNCT
asir-4687	106	1	at	at	ADP
asir-4687	106	2	that	that	PRON
asir-4687	106	3	the	the	DET
asir-4687	106	4	necessary	necessary	ADJ
asir-4687	106	5	frequency	frequency	NOUN
asir-4687	106	6	range	range	NOUN
asir-4687	106	7	is	be	AUX
asir-4687	106	8	provided	provide	VERB
asir-4687	106	9	in	in	ADP
asir-4687	106	10	these	these	DET
asir-4687	106	11	antennas	antenna	NOUN
asir-4687	106	12	by	by	ADP
asir-4687	106	13	means	mean	NOUN
asir-4687	106	14	of	of	ADP
asir-4687	106	15	a	a	DET
asir-4687	106	16	surface	surface	NOUN
asir-4687	106	17	impedance	impedance	NOUN
asir-4687	106	18	or	or	CCONJ
asir-4687	106	19	concentrated	concentrated	ADJ
asir-4687	106	20	loads	load	NOUN
asir-4687	106	21	(	(	PUNCT
asir-4687	106	22	levin	levin	PROPN
asir-4687	106	23	,	,	PUNCT
asir-4687	106	24	2021	2021	NUM
asir-4687	106	25	)	)	PUNCT
asir-4687	106	26	.	.	PUNCT
asir-4687	107	1	new	new	ADJ
asir-4687	107	2	results	result	NOUN
asir-4687	107	3	were	be	AUX
asir-4687	107	4	also	also	ADV
asir-4687	107	5	obtained	obtain	VERB
asir-4687	107	6	using	use	VERB
asir-4687	107	7	the	the	DET
asir-4687	107	8	method	method	NOUN
asir-4687	107	9	of	of	ADP
asir-4687	107	10	poynting	poynte	VERB
asir-4687	107	11	vector	vector	NOUN
asir-4687	107	12	.	.	PUNCT
asir-4687	108	1	as	as	SCONJ
asir-4687	108	2	is	be	AUX
asir-4687	108	3	known	know	VERB
asir-4687	108	4	,	,	PUNCT
asir-4687	108	5	the	the	DET
asir-4687	108	6	electric	electric	ADJ
asir-4687	108	7	field	field	NOUN
asir-4687	108	8	of	of	ADP
asir-4687	108	9	a	a	DET
asir-4687	108	10	symmetric	symmetric	ADJ
asir-4687	108	11	linear	linear	ADJ
asir-4687	108	12	radiator	radiator	NOUN
asir-4687	108	13	with	with	ADP
asir-4687	108	14	a	a	DET
asir-4687	108	15	sinusoidal	sinusoidal	ADJ
asir-4687	108	16	current	current	NOUN
asir-4687	108	17	,	,	PUNCT
asir-4687	108	18	located	locate	VERB
asir-4687	108	19	along	along	ADP
asir-4687	108	20	the	the	DET
asir-4687	108	21	z	z	NOUN
asir-4687	108	22	-	-	PUNCT
asir-4687	108	23	axis	axis	NOUN
asir-4687	108	24	,	,	PUNCT
asir-4687	108	25	with	with	ADP
asir-4687	108	26	the	the	DET
asir-4687	108	27	center	center	NOUN
asir-4687	108	28	at	at	ADP
asir-4687	108	29	the	the	DET
asir-4687	108	30	origin	origin	NOUN
asir-4687	108	31	is	be	AUX
asir-4687	108	32	equal	equal	ADJ
asir-4687	108	33	to	to	ADP
asir-4687	108	34	𝐸𝜃	𝐸𝜃	PROPN
asir-4687	108	35	=	=	PUNCT
asir-4687	108	36	𝑗	𝑗	PROPN
asir-4687	108	37	60𝐽(0	60𝐽(0	NUM
asir-4687	108	38	)	)	PUNCT
asir-4687	108	39	휀𝑟	휀𝑟	PRON
asir-4687	108	40	𝑠𝑖𝑛	𝑠𝑖𝑛	ADJ
asir-4687	108	41	𝑘𝐿	𝑘𝐿	PROPN
asir-4687	108	42	𝑒𝑥𝑝(−𝑗𝑘𝑅	𝑒𝑥𝑝(−𝑗𝑘𝑅	PROPN
asir-4687	108	43	)	)	PUNCT
asir-4687	108	44	𝑅	𝑅	PROPN
asir-4687	108	45	𝑐𝑜𝑠(𝑘𝐿𝑐𝑜𝑠𝜃	𝑐𝑜𝑠(𝑘𝐿𝑐𝑜𝑠𝜃	NOUN
asir-4687	108	46	)	)	PUNCT
asir-4687	109	1	−	−	PROPN
asir-4687	110	1	𝑐𝑜𝑠𝑘𝐿	𝑐𝑜𝑠𝑘𝐿	INTJ
asir-4687	110	2	𝑠𝑖𝑛	𝑠𝑖𝑛	ADJ
asir-4687	110	3	𝜃	𝜃	X
asir-4687	110	4	.	.	PUNCT
asir-4687	111	1	here	here	ADV
asir-4687	111	2	the	the	DET
asir-4687	111	3	last	last	ADJ
asir-4687	111	4	multiplier	multipli	ADJ
asir-4687	111	5	determines	determine	VERB
asir-4687	111	6	the	the	DET
asir-4687	111	7	directional	directional	ADJ
asir-4687	111	8	pattern	pattern	NOUN
asir-4687	111	9	of	of	ADP
asir-4687	111	10	the	the	DET
asir-4687	111	11	vertical	vertical	ADJ
asir-4687	111	12	radiator	radiator	NOUN
asir-4687	111	13	in	in	ADP
asir-4687	111	14	the	the	DET
asir-4687	111	15	vertical	vertical	ADJ
asir-4687	111	16	plane	plane	NOUN
asir-4687	111	17	.	.	PUNCT
asir-4687	112	1	the	the	DET
asir-4687	112	2	radiated	radiated	ADJ
asir-4687	112	3	power	power	NOUN
asir-4687	112	4	of	of	ADP
asir-4687	112	5	an	an	DET
asir-4687	112	6	antenna	antenna	NOUN
asir-4687	112	7	passing	pass	VERB
asir-4687	112	8	through	through	ADP
asir-4687	112	9	the	the	DET
asir-4687	112	10	surface	surface	NOUN
asir-4687	112	11	of	of	ADP
asir-4687	112	12	the	the	DET
asir-4687	112	13	surrounding	surround	VERB
asir-4687	112	14	sphere	sphere	NOUN
asir-4687	112	15	is	be	AUX
asir-4687	112	16	𝑃	𝑃	NOUN
asir-4687	112	17	=	=	PUNCT
asir-4687	112	18	𝑅0	𝑅0	NOUN
asir-4687	112	19	2	2	NUM
asir-4687	112	20	120𝜋	120𝜋	NUM
asir-4687	112	21	∫	∫	NOUN
asir-4687	112	22	𝑑𝜑	𝑑𝜑	ADP
asir-4687	112	23	∫	∫	PROPN
asir-4687	113	1	𝐸𝜃	𝐸𝜃	PROPN
asir-4687	113	2	2	2	NUM
asir-4687	113	3	𝑅0	𝑅0	NOUN
asir-4687	113	4	2	2	NUM
asir-4687	113	5	𝑠𝑖𝑛𝜃𝑑𝜃.	𝑠𝑖𝑛𝜃𝑑𝜃.	NOUN
asir-4687	113	6	𝜋	𝜋	NOUN
asir-4687	113	7	2⁄	2⁄	NUM
asir-4687	113	8	0	0	NUM
asir-4687	113	9	2𝜋	2𝜋	NOUN
asir-4687	113	10	0	0	NUM
asir-4687	113	11	dividing	divide	VERB
asir-4687	113	12	the	the	DET
asir-4687	113	13	power	power	NOUN
asir-4687	113	14	by	by	ADP
asir-4687	113	15	the	the	DET
asir-4687	113	16	square	square	NOUN
asir-4687	113	17	of	of	ADP
asir-4687	113	18	the	the	DET
asir-4687	113	19	generator	generator	NOUN
asir-4687	113	20	current	current	NOUN
asir-4687	113	21	,	,	PUNCT
asir-4687	113	22	we	we	PRON
asir-4687	113	23	find	find	VERB
asir-4687	113	24	the	the	DET
asir-4687	113	25	resistance	resistance	NOUN
asir-4687	113	26	of	of	ADP
asir-4687	113	27	antenna	antenna	NOUN
asir-4687	113	28	radiation	radiation	NOUN
asir-4687	113	29	:	:	PUNCT
asir-4687	113	30	𝑅𝛴	𝑅𝛴	NOUN
asir-4687	113	31	=	=	SYM
asir-4687	113	32	𝑃	𝑃	NOUN
asir-4687	113	33	𝐽2(0	𝐽2(0	NOUN
asir-4687	113	34	)	)	PUNCT
asir-4687	113	35	=	=	SYM
asir-4687	113	36	1	1	NUM
asir-4687	113	37	30𝐽2(0	30𝐽2(0	NUM
asir-4687	113	38	)	)	PUNCT
asir-4687	113	39	∫	∫	PROPN
asir-4687	114	1	𝐸𝜃	𝐸𝜃	PROPN
asir-4687	114	2	2𝑠𝑖𝑛𝜃𝑑𝜃.	2𝑠𝑖𝑛𝜃𝑑𝜃.	NUM
asir-4687	114	3	𝜋	𝜋	NOUN
asir-4687	114	4	2⁄	2⁄	NUM
asir-4687	114	5	0	0	NUM
asir-4687	114	6	unfortunately	unfortunately	ADV
asir-4687	114	7	,	,	PUNCT
asir-4687	114	8	the	the	DET
asir-4687	114	9	value	value	NOUN
asir-4687	114	10	𝐸𝜃	𝐸𝜃	PROPN
asir-4687	114	11	has	have	VERB
asir-4687	114	12	a	a	DET
asir-4687	114	13	complex	complex	ADJ
asir-4687	114	14	character	character	NOUN
asir-4687	114	15	that	that	PRON
asir-4687	114	16	complicates	complicate	VERB
asir-4687	114	17	calculating	calculate	VERB
asir-4687	114	18	the	the	DET
asir-4687	114	19	integral	integral	ADJ
asir-4687	114	20	.	.	PUNCT
asir-4687	115	1	if	if	SCONJ
asir-4687	115	2	to	to	PART
asir-4687	115	3	accept	accept	VERB
asir-4687	115	4	that	that	SCONJ
asir-4687	115	5	the	the	DET
asir-4687	115	6	field	field	NOUN
asir-4687	115	7	at	at	ADP
asir-4687	115	8	an	an	DET
asir-4687	115	9	arbitrary	arbitrary	ADJ
asir-4687	115	10	angle	angle	NOUN
asir-4687	115	11	θ	θ	PROPN
asir-4687	115	12	coincides	coincide	VERB
asir-4687	115	13	with	with	ADP
asir-4687	115	14	the	the	DET
asir-4687	115	15	field	field	NOUN
asir-4687	115	16	in	in	ADP
asir-4687	115	17	the	the	DET
asir-4687	115	18	horizontal	horizontal	ADJ
asir-4687	115	19	direction	direction	NOUN
asir-4687	115	20	,	,	PUNCT
asir-4687	115	21	equal	equal	ADJ
asir-4687	115	22	to	to	ADP
asir-4687	115	23	𝐸𝜃	𝐸𝜃	PROPN
asir-4687	115	24	=	=	PUNCT
asir-4687	115	25	𝑗30𝐽(0)𝑘𝑙𝑒	𝑗30𝐽(0)𝑘𝑙𝑒	PROPN
asir-4687	115	26	𝑒𝑥𝑝(−𝑗𝑘𝑅	𝑒𝑥𝑝(−𝑗𝑘𝑅	PROPN
asir-4687	115	27	)	)	PUNCT
asir-4687	115	28	휀𝑟𝑅	휀𝑟𝑅	NOUN
asir-4687	115	29	,	,	PUNCT
asir-4687	115	30	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-4687	115	31	applied	apply	VERB
asir-4687	115	32	science	science	NOUN
asir-4687	115	33	and	and	CCONJ
asir-4687	115	34	innovative	innovative	ADJ
asir-4687	115	35	research	research	NOUN
asir-4687	115	36	vol	vol	NOUN
asir-4687	115	37	.	.	PROPN
asir-4687	116	1	6	6	NUM
asir-4687	116	2	,	,	PUNCT
asir-4687	116	3	no	no	INTJ
asir-4687	116	4	.	.	NOUN
asir-4687	116	5	2	2	NUM
asir-4687	116	6	,	,	PUNCT
asir-4687	116	7	2022	2022	NUM
asir-4687	116	8	49	49	NUM
asir-4687	116	9	published	publish	VERB
asir-4687	116	10	by	by	ADP
asir-4687	116	11	scholink	scholink	PROPN
asir-4687	116	12	inc	inc	PROPN
asir-4687	116	13	.	.	PROPN
asir-4687	116	14	where	where	SCONJ
asir-4687	116	15	k𝑙𝑒	k𝑙𝑒	NOUN
asir-4687	116	16	=	=	SYM
asir-4687	116	17	2	2	NUM
asir-4687	116	18	𝑡𝑎𝑛(𝑘𝐿	𝑡𝑎𝑛(𝑘𝐿	NOUN
asir-4687	116	19	2⁄	2⁄	NUM
asir-4687	116	20	)	)	PUNCT
asir-4687	116	21	,	,	PUNCT
asir-4687	116	22	then	then	ADV
asir-4687	116	23	the	the	DET
asir-4687	116	24	obviously	obviously	ADV
asir-4687	116	25	wrong	wrong	ADJ
asir-4687	116	26	result	result	NOUN
asir-4687	116	27	is	be	AUX
asir-4687	116	28	obtained	obtain	VERB
asir-4687	116	29	.	.	PUNCT
asir-4687	117	1	the	the	DET
asir-4687	117	2	problem	problem	NOUN
asir-4687	117	3	is	be	AUX
asir-4687	117	4	solved	solve	VERB
asir-4687	117	5	,	,	PUNCT
asir-4687	117	6	if	if	SCONJ
asir-4687	117	7	we	we	PRON
asir-4687	117	8	take	take	VERB
asir-4687	117	9	into	into	ADP
asir-4687	117	10	account	account	NOUN
asir-4687	117	11	an	an	DET
asir-4687	117	12	infinite	infinite	ADJ
asir-4687	117	13	radius	radius	NOUN
asir-4687	117	14	of	of	ADP
asir-4687	117	15	the	the	DET
asir-4687	117	16	surface	surface	NOUN
asir-4687	117	17	,	,	PUNCT
asir-4687	117	18	through	through	ADP
asir-4687	117	19	which	which	PRON
asir-4687	117	20	the	the	DET
asir-4687	117	21	transmitted	transmit	VERB
asir-4687	117	22	power	power	NOUN
asir-4687	117	23	pass	pass	NOUN
asir-4687	117	24	(	(	PUNCT
asir-4687	117	25	levin	levin	PROPN
asir-4687	117	26	,	,	PUNCT
asir-4687	117	27	2021	2021	NUM
asir-4687	117	28	)	)	PUNCT
asir-4687	117	29	.	.	PUNCT
asir-4687	118	1	for	for	ADP
asir-4687	118	2	finite	finite	ADJ
asir-4687	118	3	sizes	size	NOUN
asir-4687	118	4	of	of	ADP
asir-4687	118	5	the	the	DET
asir-4687	118	6	radiator	radiator	NOUN
asir-4687	118	7	,	,	PUNCT
asir-4687	118	8	one	one	PRON
asir-4687	118	9	can	can	AUX
asir-4687	118	10	consider	consider	VERB
asir-4687	118	11	that	that	SCONJ
asir-4687	118	12	the	the	DET
asir-4687	118	13	distance	distance	NOUN
asir-4687	118	14	from	from	ADP
asir-4687	118	15	any	any	DET
asir-4687	118	16	radiator	radiator	NOUN
asir-4687	118	17	point	point	NOUN
asir-4687	118	18	to	to	ADP
asir-4687	118	19	the	the	DET
asir-4687	118	20	surface	surface	NOUN
asir-4687	118	21	of	of	ADP
asir-4687	118	22	the	the	DET
asir-4687	118	23	infinite	infinite	ADJ
asir-4687	118	24	radius	radius	NOUN
asir-4687	118	25	is	be	AUX
asir-4687	118	26	the	the	DET
asir-4687	118	27	same	same	ADJ
asir-4687	118	28	,	,	PUNCT
asir-4687	118	29	i.e.	i.e.	X
asir-4687	118	30	,	,	PUNCT
asir-4687	118	31	the	the	DET
asir-4687	118	32	field	field	NOUN
asir-4687	118	33	in	in	ADP
asir-4687	118	34	the	the	DET
asir-4687	118	35	far	far	ADJ
asir-4687	118	36	zone	zone	NOUN
asir-4687	118	37	has	have	VERB
asir-4687	118	38	the	the	DET
asir-4687	118	39	character	character	NOUN
asir-4687	118	40	of	of	ADP
asir-4687	118	41	a	a	DET
asir-4687	118	42	spherical	spherical	ADJ
asir-4687	118	43	wave	wave	NOUN
asir-4687	118	44	,	,	PUNCT
asir-4687	118	45	and	and	CCONJ
asir-4687	118	46	the	the	DET
asir-4687	118	47	value	value	NOUN
asir-4687	118	48	of	of	ADP
asir-4687	118	49	the	the	DET
asir-4687	118	50	signal	signal	NOUN
asir-4687	118	51	passing	pass	VERB
asir-4687	118	52	through	through	ADP
asir-4687	118	53	the	the	DET
asir-4687	118	54	surface	surface	NOUN
asir-4687	118	55	depends	depend	VERB
asir-4687	118	56	only	only	ADV
asir-4687	118	57	on	on	ADP
asir-4687	118	58	the	the	DET
asir-4687	118	59	angle	angle	NOUN
asir-4687	118	60	in	in	ADP
asir-4687	118	61	the	the	DET
asir-4687	118	62	vertical	vertical	ADJ
asir-4687	118	63	plane	plane	NOUN
asir-4687	118	64	between	between	ADP
asir-4687	118	65	the	the	DET
asir-4687	118	66	antenna	antenna	NOUN
asir-4687	118	67	axis	axis	NOUN
asir-4687	118	68	and	and	CCONJ
asir-4687	118	69	the	the	DET
asir-4687	118	70	tangent	tangent	NOUN
asir-4687	118	71	to	to	ADP
asir-4687	118	72	the	the	DET
asir-4687	118	73	surface	surface	NOUN
asir-4687	118	74	in	in	ADP
asir-4687	118	75	the	the	DET
asir-4687	118	76	given	give	VERB
asir-4687	118	77	point	point	NOUN
asir-4687	118	78	of	of	ADP
asir-4687	118	79	it	it	PRON
asir-4687	118	80	.	.	PUNCT
asir-4687	119	1	in	in	ADP
asir-4687	119	2	such	such	DET
asir-4687	119	3	a	a	DET
asir-4687	119	4	situation	situation	NOUN
asir-4687	119	5	,	,	PUNCT
asir-4687	119	6	in	in	ADP
asir-4687	119	7	accordance	accordance	NOUN
asir-4687	119	8	with	with	ADP
asir-4687	119	9	the	the	DET
asir-4687	119	10	desire	desire	NOUN
asir-4687	119	11	to	to	PART
asir-4687	119	12	simplify	simplify	VERB
asir-4687	119	13	the	the	DET
asir-4687	119	14	calculations	calculation	NOUN
asir-4687	119	15	as	as	ADV
asir-4687	119	16	much	much	ADV
asir-4687	119	17	as	as	ADP
asir-4687	119	18	possible	possible	ADJ
asir-4687	119	19	it	it	PRON
asir-4687	119	20	is	be	AUX
asir-4687	119	21	expedient	expedient	ADJ
asir-4687	119	22	as	as	SCONJ
asir-4687	119	23	the	the	DET
asir-4687	119	24	origin	origin	NOUN
asir-4687	119	25	field	field	NOUN
asir-4687	119	26	to	to	PART
asir-4687	119	27	choose	choose	VERB
asir-4687	119	28	the	the	DET
asir-4687	119	29	field	field	NOUN
asir-4687	119	30	in	in	ADP
asir-4687	119	31	the	the	DET
asir-4687	119	32	direction	direction	NOUN
asir-4687	119	33	θ0	θ0	PROPN
asir-4687	119	34	=	=	PUNCT
asir-4687	119	35	π/2	π/2	PROPN
asir-4687	119	36	.	.	PUNCT
asir-4687	120	1	in	in	ADP
asir-4687	120	2	this	this	DET
asir-4687	120	3	case	case	NOUN
asir-4687	120	4	,	,	PUNCT
asir-4687	120	5	𝑅𝛴	𝑅𝛴	NOUN
asir-4687	120	6	=	=	NOUN
asir-4687	120	7	1	1	NUM
asir-4687	120	8	30𝐽2(0	30𝐽2(0	NUM
asir-4687	120	9	)	)	PUNCT
asir-4687	120	10	∫	∫	PROPN
asir-4687	120	11	|𝐸𝜃0|	|𝐸𝜃0|	NUM
asir-4687	120	12	2𝑠𝑖𝑛3𝜃𝑑𝜃	2𝑠𝑖𝑛3𝜃𝑑𝜃	NOUN
asir-4687	120	13	,	,	PUNCT
asir-4687	120	14	𝜋	𝜋	NOUN
asir-4687	120	15	2	2	NUM
asir-4687	120	16	0	0	NUM
asir-4687	120	17	i.e.	i.e.	X
asir-4687	120	18	,	,	PUNCT
asir-4687	120	19	𝑅𝛴0	𝑅𝛴0	PROPN
asir-4687	120	20	=	=	NOUN
asir-4687	120	21	20(𝑘𝑙𝑒	20(𝑘𝑙𝑒	NOUN
asir-4687	120	22	)	)	PUNCT
asir-4687	120	23	2	2	NUM
asir-4687	120	24	.	.	X
asir-4687	120	25	one	one	PRON
asir-4687	120	26	may	may	AUX
asir-4687	120	27	to	to	PART
asir-4687	120	28	verify	verify	VERB
asir-4687	120	29	this	this	DET
asir-4687	120	30	expression	expression	NOUN
asir-4687	120	31	,	,	PUNCT
asir-4687	120	32	using	use	VERB
asir-4687	120	33	integration	integration	NOUN
asir-4687	120	34	by	by	ADP
asir-4687	120	35	parts	part	NOUN
asir-4687	120	36	,	,	PUNCT
asir-4687	120	37	but	but	CCONJ
asir-4687	120	38	this	this	DET
asir-4687	120	39	work	work	NOUN
asir-4687	120	40	is	be	AUX
asir-4687	120	41	much	much	ADV
asir-4687	120	42	more	more	ADV
asir-4687	120	43	difficult	difficult	ADJ
asir-4687	120	44	.	.	PUNCT
asir-4687	121	1	the	the	DET
asir-4687	121	2	described	describe	VERB
asir-4687	121	3	technique	technique	NOUN
asir-4687	121	4	also	also	ADV
asir-4687	121	5	was	be	AUX
asir-4687	121	6	used	use	VERB
asir-4687	121	7	to	to	PART
asir-4687	121	8	calculate	calculate	VERB
asir-4687	121	9	the	the	DET
asir-4687	121	10	mutual	mutual	ADJ
asir-4687	121	11	active	active	ADJ
asir-4687	121	12	resistances	resistance	NOUN
asir-4687	121	13	of	of	ADP
asir-4687	121	14	two	two	NUM
asir-4687	121	15	parallel	parallel	ADJ
asir-4687	121	16	radiators	radiator	NOUN
asir-4687	121	17	located	locate	VERB
asir-4687	121	18	with	with	ADP
asir-4687	121	19	and	and	CCONJ
asir-4687	121	20	without	without	ADP
asir-4687	121	21	a	a	DET
asir-4687	121	22	shift	shift	NOUN
asir-4687	121	23	in	in	ADP
asir-4687	121	24	height	height	NOUN
asir-4687	121	25	.	.	PUNCT
asir-4687	122	1	the	the	DET
asir-4687	122	2	calculation	calculation	NOUN
asir-4687	122	3	results	result	VERB
asir-4687	122	4	coincide	coincide	VERB
asir-4687	122	5	with	with	ADP
asir-4687	122	6	the	the	DET
asir-4687	122	7	characteristics	characteristic	NOUN
asir-4687	122	8	obtained	obtain	VERB
asir-4687	122	9	by	by	ADP
asir-4687	122	10	other	other	ADJ
asir-4687	122	11	methods	method	NOUN
asir-4687	122	12	.	.	PUNCT
asir-4687	123	1	4	4	X
asir-4687	123	2	.	.	X
asir-4687	123	3	in	in	ADP
asir-4687	123	4	-	-	PUNCT
asir-4687	123	5	phase	phase	NOUN
asir-4687	123	6	current	current	ADJ
asir-4687	123	7	distribution	distribution	NOUN
asir-4687	123	8	the	the	DET
asir-4687	123	9	blast	blast	NOUN
asir-4687	123	10	wave	wave	NOUN
asir-4687	123	11	had	have	VERB
asir-4687	123	12	numerous	numerous	ADJ
asir-4687	123	13	consequences	consequence	NOUN
asir-4687	123	14	.	.	PUNCT
asir-4687	124	1	after	after	ADP
asir-4687	124	2	the	the	DET
asir-4687	124	3	integral	integral	ADJ
asir-4687	124	4	equations	equation	NOUN
asir-4687	124	5	for	for	ADP
asir-4687	124	6	metal	metal	NOUN
asir-4687	124	7	antennas	antenna	NOUN
asir-4687	124	8	,	,	PUNCT
asir-4687	124	9	an	an	DET
asir-4687	124	10	equation	equation	NOUN
asir-4687	124	11	was	be	AUX
asir-4687	124	12	written	write	VERB
asir-4687	124	13	for	for	ADP
asir-4687	124	14	a	a	DET
asir-4687	124	15	straight	straight	ADJ
asir-4687	124	16	slot	slot	NOUN
asir-4687	124	17	antenna	antenna	NOUN
asir-4687	124	18	(	(	PUNCT
asir-4687	124	19	pheld	pheld	NOUN
asir-4687	124	20	,	,	PUNCT
asir-4687	124	21	1948	1948	NUM
asir-4687	124	22	)	)	PUNCT
asir-4687	124	23	,	,	PUNCT
asir-4687	124	24	and	and	CCONJ
asir-4687	124	25	a	a	DET
asir-4687	124	26	rigorous	rigorous	ADJ
asir-4687	124	27	method	method	NOUN
asir-4687	124	28	was	be	AUX
asir-4687	124	29	proposed	propose	VERB
asir-4687	124	30	for	for	ADP
asir-4687	124	31	the	the	DET
asir-4687	124	32	analysis	analysis	NOUN
asir-4687	124	33	of	of	ADP
asir-4687	124	34	metal	metal	NOUN
asir-4687	124	35	and	and	CCONJ
asir-4687	124	36	slot	slot	NOUN
asir-4687	124	37	antennas	antenna	NOUN
asir-4687	124	38	with	with	ADP
asir-4687	124	39	constant	constant	ADJ
asir-4687	124	40	and	and	CCONJ
asir-4687	124	41	varying	vary	VERB
asir-4687	124	42	along	along	ADP
asir-4687	124	43	the	the	DET
asir-4687	124	44	length	length	NOUN
asir-4687	124	45	surface	surface	NOUN
asir-4687	124	46	impedance	impedance	NOUN
asir-4687	124	47	(	(	PUNCT
asir-4687	124	48	miller	miller	PROPN
asir-4687	124	49	,	,	PUNCT
asir-4687	124	50	1954	1954	NUM
asir-4687	124	51	)	)	PUNCT
asir-4687	124	52	.	.	PUNCT
asir-4687	125	1	the	the	DET
asir-4687	125	2	use	use	NOUN
asir-4687	125	3	of	of	ADP
asir-4687	125	4	inductive	inductive	ADJ
asir-4687	125	5	impedance	impedance	NOUN
asir-4687	125	6	(	(	PUNCT
asir-4687	125	7	of	of	ADP
asir-4687	125	8	ferrite	ferrite	ADJ
asir-4687	125	9	coating	coating	NOUN
asir-4687	125	10	)	)	PUNCT
asir-4687	125	11	has	have	AUX
asir-4687	125	12	shown	show	VERB
asir-4687	125	13	that	that	SCONJ
asir-4687	125	14	it	it	PRON
asir-4687	125	15	increases	increase	VERB
asir-4687	125	16	the	the	DET
asir-4687	125	17	wave	wave	NOUN
asir-4687	125	18	propagation	propagation	NOUN
asir-4687	125	19	constant	constant	ADJ
asir-4687	125	20	and	and	CCONJ
asir-4687	125	21	the	the	DET
asir-4687	125	22	electrical	electrical	ADJ
asir-4687	125	23	length	length	NOUN
asir-4687	125	24	of	of	ADP
asir-4687	125	25	the	the	DET
asir-4687	125	26	antenna	antenna	NOUN
asir-4687	125	27	,	,	PUNCT
asir-4687	125	28	partially	partially	ADV
asir-4687	125	29	increases	increase	VERB
asir-4687	125	30	the	the	DET
asir-4687	125	31	radiation	radiation	NOUN
asir-4687	125	32	resistance	resistance	NOUN
asir-4687	125	33	at	at	ADP
asir-4687	125	34	a	a	DET
asir-4687	125	35	constant	constant	ADJ
asir-4687	125	36	geometric	geometric	ADJ
asir-4687	125	37	length	length	NOUN
asir-4687	125	38	of	of	ADP
asir-4687	125	39	the	the	DET
asir-4687	125	40	radiator	radiator	NOUN
asir-4687	125	41	,	,	PUNCT
asir-4687	125	42	and	and	CCONJ
asir-4687	125	43	significantly	significantly	ADV
asir-4687	125	44	reduces	reduce	VERB
asir-4687	125	45	this	this	DET
asir-4687	125	46	resistance	resistance	NOUN
asir-4687	125	47	,	,	PUNCT
asir-4687	125	48	if	if	SCONJ
asir-4687	125	49	the	the	DET
asir-4687	125	50	electrical	electrical	ADJ
asir-4687	125	51	length	length	NOUN
asir-4687	125	52	of	of	ADP
asir-4687	125	53	the	the	DET
asir-4687	125	54	antenna	antenna	NOUN
asir-4687	125	55	does	do	AUX
asir-4687	125	56	not	not	PART
asir-4687	125	57	change	change	VERB
asir-4687	125	58	.	.	PUNCT
asir-4687	126	1	by	by	ADP
asir-4687	126	2	replacing	replace	VERB
asir-4687	126	3	the	the	DET
asir-4687	126	4	surface	surface	NOUN
asir-4687	126	5	impedance	impedance	NOUN
asir-4687	126	6	with	with	ADP
asir-4687	126	7	concentrated	concentrated	ADJ
asir-4687	126	8	capacitive	capacitive	ADJ
asir-4687	126	9	loads	load	NOUN
asir-4687	126	10	,	,	PUNCT
asir-4687	126	11	it	it	PRON
asir-4687	126	12	is	be	AUX
asir-4687	126	13	possible	possible	ADJ
asir-4687	126	14	,	,	PUNCT
asir-4687	126	15	as	as	SCONJ
asir-4687	126	16	shown	show	VERB
asir-4687	126	17	by	by	ADP
asir-4687	126	18	the	the	DET
asir-4687	126	19	experimental	experimental	ADJ
asir-4687	126	20	results	result	NOUN
asir-4687	126	21	(	(	PUNCT
asir-4687	126	22	rao	rao	NOUN
asir-4687	126	23	,	,	PUNCT
asir-4687	126	24	ferris	ferris	PROPN
asir-4687	126	25	,	,	PUNCT
asir-4687	126	26	&	&	CCONJ
asir-4687	126	27	zimmerman	zimmerman	PROPN
asir-4687	126	28	,	,	PUNCT
asir-4687	126	29	1969	1969	NUM
asir-4687	126	30	)	)	PUNCT
asir-4687	126	31	,	,	PUNCT
asir-4687	126	32	to	to	PART
asir-4687	126	33	obtain	obtain	VERB
asir-4687	126	34	a	a	DET
asir-4687	126	35	current	current	ADJ
asir-4687	126	36	distribution	distribution	NOUN
asir-4687	126	37	along	along	ADP
asir-4687	126	38	the	the	DET
asir-4687	126	39	antenna	antenna	NOUN
asir-4687	126	40	that	that	PRON
asir-4687	126	41	is	be	AUX
asir-4687	126	42	different	different	ADJ
asir-4687	126	43	from	from	ADP
asir-4687	126	44	the	the	DET
asir-4687	126	45	sinusoidal	sinusoidal	ADJ
asir-4687	126	46	one	one	NUM
asir-4687	126	47	.	.	PUNCT
asir-4687	127	1	in	in	ADP
asir-4687	127	2	accordance	accordance	NOUN
asir-4687	127	3	with	with	ADP
asir-4687	127	4	hallen	hallen	PROPN
asir-4687	127	5	hypothesis	hypothesis	NOUN
asir-4687	127	6	about	about	ADP
asir-4687	127	7	the	the	DET
asir-4687	127	8	usefulness	usefulness	NOUN
asir-4687	127	9	of	of	ADP
asir-4687	127	10	capacitive	capacitive	ADJ
asir-4687	127	11	loads	load	NOUN
asir-4687	127	12	,	,	PUNCT
asir-4687	127	13	the	the	DET
asir-4687	127	14	inverse	inverse	ADJ
asir-4687	127	15	problem	problem	NOUN
asir-4687	127	16	of	of	ADP
asir-4687	127	17	the	the	DET
asir-4687	127	18	theory	theory	NOUN
asir-4687	127	19	of	of	ADP
asir-4687	127	20	radiators	radiator	NOUN
asir-4687	127	21	was	be	AUX
asir-4687	127	22	solved	solve	VERB
asir-4687	127	23	to	to	PART
asir-4687	127	24	determine	determine	VERB
asir-4687	127	25	the	the	DET
asir-4687	127	26	magnitude	magnitude	NOUN
asir-4687	127	27	of	of	ADP
asir-4687	127	28	loads	load	NOUN
asir-4687	127	29	that	that	PRON
asir-4687	127	30	provide	provide	VERB
asir-4687	127	31	in	in	ADP
asir-4687	127	32	-	-	PUNCT
asir-4687	127	33	phase	phase	NOUN
asir-4687	127	34	current	current	ADJ
asir-4687	127	35	distribution	distribution	NOUN
asir-4687	127	36	along	along	ADP
asir-4687	127	37	the	the	DET
asir-4687	127	38	antenna	antenna	NOUN
asir-4687	127	39	wire	wire	NOUN
asir-4687	127	40	in	in	ADP
asir-4687	127	41	a	a	DET
asir-4687	127	42	wide	wide	ADJ
asir-4687	127	43	frequency	frequency	NOUN
asir-4687	127	44	range	range	NOUN
asir-4687	127	45	(	(	PUNCT
asir-4687	127	46	levin	levin	PROPN
asir-4687	127	47	,	,	PUNCT
asir-4687	127	48	1998	1998	NUM
asir-4687	127	49	)	)	PUNCT
asir-4687	127	50	.	.	PUNCT
asir-4687	128	1	it	it	PRON
asir-4687	128	2	was	be	AUX
asir-4687	128	3	shown	show	VERB
asir-4687	128	4	that	that	SCONJ
asir-4687	128	5	each	each	DET
asir-4687	128	6	load	load	NOUN
asir-4687	128	7	should	should	AUX
asir-4687	128	8	be	be	AUX
asir-4687	128	9	a	a	DET
asir-4687	128	10	parallel	parallel	ADJ
asir-4687	128	11	connection	connection	NOUN
asir-4687	128	12	of	of	ADP
asir-4687	128	13	a	a	DET
asir-4687	128	14	resistor	resistor	NOUN
asir-4687	128	15	and	and	CCONJ
asir-4687	128	16	a	a	DET
asir-4687	128	17	reactive	reactive	ADJ
asir-4687	128	18	element	element	NOUN
asir-4687	128	19	,	,	PUNCT
asir-4687	128	20	and	and	CCONJ
asir-4687	128	21	capacitors	capacitor	NOUN
asir-4687	128	22	should	should	AUX
asir-4687	128	23	be	be	AUX
asir-4687	128	24	used	use	VERB
asir-4687	128	25	as	as	ADP
asir-4687	128	26	reactive	reactive	ADJ
asir-4687	128	27	elements	element	NOUN
asir-4687	128	28	(	(	PUNCT
asir-4687	128	29	the	the	DET
asir-4687	128	30	use	use	NOUN
asir-4687	128	31	of	of	ADP
asir-4687	128	32	more	more	ADV
asir-4687	128	33	complex	complex	ADJ
asir-4687	128	34	reactive	reactive	ADJ
asir-4687	128	35	two	two	NUM
asir-4687	128	36	-	-	PUNCT
asir-4687	128	37	terminal	terminal	NOUN
asir-4687	128	38	networks	network	NOUN
asir-4687	128	39	,	,	PUNCT
asir-4687	128	40	which	which	PRON
asir-4687	128	41	include	include	VERB
asir-4687	128	42	inductances	inductance	NOUN
asir-4687	128	43	,	,	PUNCT
asir-4687	128	44	narrows	narrow	VERB
asir-4687	128	45	the	the	DET
asir-4687	128	46	operating	operate	VERB
asir-4687	128	47	range	range	NOUN
asir-4687	128	48	)	)	PUNCT
asir-4687	128	49	.	.	PUNCT
asir-4687	129	1	capacitors	capacitor	NOUN
asir-4687	129	2	make	make	VERB
asir-4687	129	3	it	it	PRON
asir-4687	129	4	possible	possible	ADJ
asir-4687	129	5	to	to	PART
asir-4687	129	6	create	create	VERB
asir-4687	129	7	an	an	DET
asir-4687	129	8	electromagnetic	electromagnetic	ADJ
asir-4687	129	9	wave	wave	NOUN
asir-4687	129	10	along	along	ADP
asir-4687	129	11	the	the	DET
asir-4687	129	12	antenna	antenna	NOUN
asir-4687	129	13	with	with	ADP
asir-4687	129	14	a	a	DET
asir-4687	129	15	real	real	ADJ
asir-4687	129	16	propagation	propagation	NOUN
asir-4687	129	17	constant	constant	ADJ
asir-4687	129	18	,	,	PUNCT
asir-4687	129	19	i.e.	i.e.	X
asir-4687	129	20	,	,	PUNCT
asir-4687	129	21	obtain	obtain	VERB
asir-4687	129	22	an	an	DET
asir-4687	129	23	exponential	exponential	ADJ
asir-4687	129	24	distribution	distribution	NOUN
asir-4687	129	25	of	of	ADP
asir-4687	129	26	the	the	DET
asir-4687	129	27	current	current	ADJ
asir-4687	129	28	amplitude	amplitude	NOUN
asir-4687	129	29	with	with	ADP
asir-4687	129	30	a	a	DET
asir-4687	129	31	positive	positive	ADJ
asir-4687	129	32	decrement	decrement	NOUN
asir-4687	129	33	(	(	PUNCT
asir-4687	129	34	concave	concave	PROPN
asir-4687	129	35	current	current	ADJ
asir-4687	129	36	curve	curve	NOUN
asir-4687	129	37	)	)	PUNCT
asir-4687	129	38	.	.	PUNCT
asir-4687	130	1	a	a	DET
asir-4687	130	2	convex	convex	ADJ
asir-4687	130	3	current	current	ADJ
asir-4687	130	4	curve	curve	NOUN
asir-4687	130	5	can	can	AUX
asir-4687	130	6	not	not	PART
asir-4687	130	7	be	be	AUX
asir-4687	130	8	created	create	VERB
asir-4687	130	9	with	with	ADP
asir-4687	130	10	simple	simple	ADJ
asir-4687	130	11	elements	element	NOUN
asir-4687	130	12	.	.	PUNCT
asir-4687	131	1	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	PROPN
asir-4687	131	2	applied	apply	VERB
asir-4687	131	3	science	science	NOUN
asir-4687	131	4	and	and	CCONJ
asir-4687	131	5	innovative	innovative	ADJ
asir-4687	131	6	research	research	NOUN
asir-4687	131	7	vol	vol	NOUN
asir-4687	131	8	.	.	PROPN
asir-4687	132	1	6	6	NUM
asir-4687	132	2	,	,	PUNCT
asir-4687	132	3	no	no	INTJ
asir-4687	132	4	.	.	NOUN
asir-4687	132	5	2	2	NUM
asir-4687	132	6	,	,	PUNCT
asir-4687	132	7	2022	2022	NUM
asir-4687	132	8	50	50	NUM
asir-4687	132	9	published	publish	VERB
asir-4687	132	10	by	by	ADP
asir-4687	132	11	scholink	scholink	PROPN
asir-4687	132	12	inc	inc	PROPN
asir-4687	132	13	.	.	PROPN
asir-4687	132	14	in	in	ADP
asir-4687	132	15	a	a	DET
asir-4687	132	16	particular	particular	ADJ
asir-4687	132	17	case	case	NOUN
asir-4687	132	18	,	,	PUNCT
asir-4687	132	19	if	if	SCONJ
asir-4687	132	20	it	it	PRON
asir-4687	132	21	is	be	AUX
asir-4687	132	22	necessary	necessary	ADJ
asir-4687	132	23	to	to	PART
asir-4687	132	24	obtain	obtain	VERB
asir-4687	132	25	a	a	DET
asir-4687	132	26	law	law	NOUN
asir-4687	132	27	close	close	ADJ
asir-4687	132	28	to	to	PART
asir-4687	132	29	linear	linear	VERB
asir-4687	132	30	for	for	ADP
asir-4687	132	31	the	the	DET
asir-4687	132	32	current	current	ADJ
asir-4687	132	33	envelope	envelope	NOUN
asir-4687	132	34	,	,	PUNCT
asir-4687	132	35	the	the	DET
asir-4687	132	36	capacitance	capacitance	NOUN
asir-4687	132	37	of	of	ADP
asir-4687	132	38	the	the	DET
asir-4687	132	39	loads	load	NOUN
asir-4687	132	40	should	should	AUX
asir-4687	132	41	decrease	decrease	VERB
asir-4687	132	42	to	to	ADP
asir-4687	132	43	the	the	DET
asir-4687	132	44	free	free	ADJ
asir-4687	132	45	end	end	NOUN
asir-4687	132	46	of	of	ADP
asir-4687	132	47	the	the	DET
asir-4687	132	48	antenna	antenna	NOUN
asir-4687	132	49	in	in	ADP
asir-4687	132	50	proportion	proportion	NOUN
asir-4687	132	51	to	to	ADP
asir-4687	132	52	the	the	DET
asir-4687	132	53	distance	distance	NOUN
asir-4687	132	54	from	from	ADP
asir-4687	132	55	it	it	PRON
asir-4687	132	56	.	.	PUNCT
asir-4687	133	1	the	the	DET
asir-4687	133	2	resistance	resistance	NOUN
asir-4687	133	3	of	of	ADP
asir-4687	133	4	resistors	resistor	NOUN
asir-4687	133	5	must	must	AUX
asir-4687	133	6	increase	increase	VERB
asir-4687	133	7	:	:	PUNCT
asir-4687	133	8	𝐶𝑛	𝐶𝑛	NOUN
asir-4687	133	9	=	=	SYM
asir-4687	133	10	𝐶𝑁	𝐶𝑁	PROPN
asir-4687	133	11	𝑛−1	𝑛−1	PROPN
asir-4687	133	12	𝑁−1	𝑁−1	NOUN
asir-4687	133	13	,	,	PUNCT
asir-4687	133	14	𝑅𝑛	𝑅𝑛	PROPN
asir-4687	133	15	=	=	SYM
asir-4687	133	16	𝑅𝑁	𝑅𝑁	PROPN
asir-4687	133	17	𝑁−1	𝑁−1	NOUN
asir-4687	133	18	𝑛−1	𝑛−1	PROPN
asir-4687	133	19	.	.	PUNCT
asir-4687	134	1	here	here	ADV
asir-4687	134	2	𝐶𝑁	𝐶𝑁	PROPN
asir-4687	134	3	and	and	CCONJ
asir-4687	134	4	𝑅𝑁	𝑅𝑁	PROPN
asir-4687	134	5	are	be	AUX
asir-4687	134	6	capacitance	capacitance	NOUN
asir-4687	134	7	and	and	CCONJ
asir-4687	134	8	resistance	resistance	NOUN
asir-4687	134	9	near	near	ADP
asir-4687	134	10	the	the	DET
asir-4687	134	11	base	base	NOUN
asir-4687	134	12	of	of	ADP
asir-4687	134	13	the	the	DET
asir-4687	134	14	asymmetric	asymmetric	ADJ
asir-4687	134	15	radiator	radiator	NOUN
asir-4687	134	16	.	.	PUNCT
asir-4687	135	1	for	for	SCONJ
asir-4687	135	2	the	the	DET
asir-4687	135	3	propagation	propagation	NOUN
asir-4687	135	4	constant	constant	ADJ
asir-4687	135	5	to	to	PART
asir-4687	135	6	be	be	AUX
asir-4687	135	7	real	real	ADJ
asir-4687	135	8	at	at	ADP
asir-4687	135	9	a	a	DET
asir-4687	135	10	given	give	VERB
asir-4687	135	11	frequency	frequency	NOUN
asir-4687	135	12	f	f	NOUN
asir-4687	135	13	,	,	PUNCT
asir-4687	135	14	the	the	DET
asir-4687	135	15	capacitances	capacitance	NOUN
asir-4687	135	16	of	of	ADP
asir-4687	135	17	the	the	DET
asir-4687	135	18	capacitors	capacitor	NOUN
asir-4687	135	19	must	must	AUX
asir-4687	135	20	be	be	AUX
asir-4687	135	21	less	less	ADJ
asir-4687	135	22	than	than	ADP
asir-4687	135	23	𝐶𝑁	𝐶𝑁	PROPN
asir-4687	135	24	≤	≤	NOUN
asir-4687	135	25	2.54	2.54	NUM
asir-4687	135	26	∙	∙	PROPN
asir-4687	135	27	105𝜒𝑛	105𝜒𝑛	PROPN
asir-4687	135	28	𝑓2𝑏	𝑓2𝑏	PROPN
asir-4687	135	29	.	.	PUNCT
asir-4687	136	1	here	here	ADV
asir-4687	136	2	𝐶𝑁	𝐶𝑁	PROPN
asir-4687	136	3	is	be	AUX
asir-4687	136	4	the	the	DET
asir-4687	136	5	capacitance	capacitance	NOUN
asir-4687	136	6	in	in	ADP
asir-4687	136	7	picofarads	picofarad	NOUN
asir-4687	136	8	,	,	PUNCT
asir-4687	136	9	f	f	PROPN
asir-4687	136	10	is	be	AUX
asir-4687	136	11	frequency	frequency	NOUN
asir-4687	136	12	(	(	PUNCT
asir-4687	136	13	in	in	ADP
asir-4687	136	14	megahertz	megahertz	NOUN
asir-4687	136	15	)	)	PUNCT
asir-4687	136	16	,	,	PUNCT
asir-4687	136	17	𝜒𝑛	𝜒𝑛	PROPN
asir-4687	136	18	is	be	AUX
asir-4687	136	19	a	a	DET
asir-4687	136	20	small	small	ADJ
asir-4687	136	21	parameter	parameter	NOUN
asir-4687	136	22	on	on	ADP
asir-4687	136	23	nth	nth	PROPN
asir-4687	136	24	segment	segment	NOUN
asir-4687	136	25	,	,	PUNCT
asir-4687	136	26	b	b	NOUN
asir-4687	136	27	is	be	AUX
asir-4687	136	28	segment	segment	NOUN
asir-4687	136	29	length	length	NOUN
asir-4687	136	30	(	(	PUNCT
asir-4687	136	31	in	in	ADP
asir-4687	136	32	meters	meter	NOUN
asir-4687	136	33	)	)	PUNCT
asir-4687	136	34	.	.	PUNCT
asir-4687	137	1	the	the	DET
asir-4687	137	2	use	use	NOUN
asir-4687	137	3	of	of	ADP
asir-4687	137	4	resistors	resistor	NOUN
asir-4687	137	5	reduces	reduce	VERB
asir-4687	137	6	the	the	DET
asir-4687	137	7	efficiency	efficiency	NOUN
asir-4687	137	8	,	,	PUNCT
asir-4687	137	9	so	so	CCONJ
asir-4687	137	10	the	the	DET
asir-4687	137	11	question	question	NOUN
asir-4687	137	12	of	of	ADP
asir-4687	137	13	their	their	PRON
asir-4687	137	14	use	use	NOUN
asir-4687	137	15	must	must	AUX
asir-4687	137	16	be	be	AUX
asir-4687	137	17	decided	decide	VERB
asir-4687	137	18	in	in	ADP
asir-4687	137	19	each	each	DET
asir-4687	137	20	specific	specific	ADJ
asir-4687	137	21	case	case	NOUN
asir-4687	137	22	.	.	PUNCT
asir-4687	138	1	at	at	ADP
asir-4687	138	2	low	low	ADJ
asir-4687	138	3	frequencies	frequency	NOUN
asir-4687	138	4	,	,	PUNCT
asir-4687	138	5	the	the	DET
asir-4687	138	6	propagation	propagation	NOUN
asir-4687	138	7	constant	constant	ADJ
asir-4687	138	8	k	k	PROPN
asir-4687	138	9	is	be	AUX
asir-4687	138	10	real	real	ADJ
asir-4687	138	11	along	along	ADP
asir-4687	138	12	the	the	DET
asir-4687	138	13	entire	entire	ADJ
asir-4687	138	14	antenna	antenna	NOUN
asir-4687	138	15	.	.	PUNCT
asir-4687	139	1	as	as	ADP
asir-4687	139	2	the	the	DET
asir-4687	139	3	frequency	frequency	NOUN
asir-4687	139	4	increases	increase	NOUN
asir-4687	139	5	,	,	PUNCT
asir-4687	139	6	it	it	PRON
asir-4687	139	7	becomes	become	VERB
asir-4687	139	8	purely	purely	ADV
asir-4687	139	9	imaginary	imaginary	ADJ
asir-4687	139	10	(	(	PUNCT
asir-4687	139	11	primarily	primarily	ADV
asir-4687	139	12	near	near	ADP
asir-4687	139	13	the	the	DET
asir-4687	139	14	generator	generator	NOUN
asir-4687	139	15	)	)	PUNCT
asir-4687	139	16	,	,	PUNCT
asir-4687	139	17	and	and	CCONJ
asir-4687	139	18	the	the	DET
asir-4687	139	19	current	current	ADJ
asir-4687	139	20	becomes	become	VERB
asir-4687	139	21	sinusoidal	sinusoidal	NOUN
asir-4687	139	22	.	.	PUNCT
asir-4687	140	1	this	this	DET
asir-4687	140	2	effect	effect	NOUN
asir-4687	140	3	limits	limit	VERB
asir-4687	140	4	the	the	DET
asir-4687	140	5	frequency	frequency	ADJ
asir-4687	140	6	range	range	NOUN
asir-4687	140	7	of	of	ADP
asir-4687	140	8	the	the	DET
asir-4687	140	9	antenna	antenna	NOUN
asir-4687	140	10	from	from	ADP
asir-4687	140	11	above	above	ADV
asir-4687	140	12	.	.	PUNCT
asir-4687	141	1	to	to	PART
asir-4687	141	2	expand	expand	VERB
asir-4687	141	3	the	the	DET
asir-4687	141	4	range	range	NOUN
asir-4687	141	5	,	,	PUNCT
asir-4687	141	6	the	the	DET
asir-4687	141	7	capacitances	capacitance	NOUN
asir-4687	141	8	of	of	ADP
asir-4687	141	9	the	the	DET
asir-4687	141	10	capacitors	capacitor	NOUN
asir-4687	141	11	must	must	AUX
asir-4687	141	12	decrease	decrease	VERB
asir-4687	141	13	with	with	ADP
asir-4687	141	14	increasing	increase	VERB
asir-4687	141	15	frequency	frequency	NOUN
asir-4687	141	16	in	in	ADP
asir-4687	141	17	inverse	inverse	ADJ
asir-4687	141	18	proportion	proportion	NOUN
asir-4687	141	19	to	to	ADP
asir-4687	141	20	its	its	PRON
asir-4687	141	21	square	square	NOUN
asir-4687	141	22	.	.	PUNCT
asir-4687	142	1	for	for	ADP
asir-4687	142	2	this	this	PRON
asir-4687	142	3	,	,	PUNCT
asir-4687	142	4	it	it	PRON
asir-4687	142	5	is	be	AUX
asir-4687	142	6	necessary	necessary	ADJ
asir-4687	142	7	to	to	PART
asir-4687	142	8	change	change	VERB
asir-4687	142	9	the	the	DET
asir-4687	142	10	capacitances	capacitance	NOUN
asir-4687	142	11	,	,	PUNCT
asir-4687	142	12	for	for	ADP
asir-4687	142	13	example	example	NOUN
asir-4687	142	14	,	,	PUNCT
asir-4687	142	15	to	to	PART
asir-4687	142	16	switch	switch	VERB
asir-4687	142	17	the	the	DET
asir-4687	142	18	capacitors	capacitor	NOUN
asir-4687	142	19	.	.	PUNCT
asir-4687	143	1	calculations	calculation	NOUN
asir-4687	143	2	and	and	CCONJ
asir-4687	143	3	experiments	experiment	NOUN
asir-4687	143	4	confirm	confirm	VERB
asir-4687	143	5	that	that	SCONJ
asir-4687	143	6	the	the	DET
asir-4687	143	7	installation	installation	NOUN
asir-4687	143	8	of	of	ADP
asir-4687	143	9	loads	load	NOUN
asir-4687	143	10	significantly	significantly	ADV
asir-4687	143	11	expands	expand	VERB
asir-4687	143	12	the	the	DET
asir-4687	143	13	frequency	frequency	NOUN
asir-4687	143	14	range	range	NOUN
asir-4687	143	15	.	.	PUNCT
asir-4687	144	1	with	with	ADP
asir-4687	144	2	the	the	DET
asir-4687	144	3	same	same	ADJ
asir-4687	144	4	requirements	requirement	NOUN
asir-4687	144	5	for	for	ADP
asir-4687	144	6	electrical	electrical	ADJ
asir-4687	144	7	characteristics	characteristic	NOUN
asir-4687	144	8	and	and	CCONJ
asir-4687	144	9	the	the	DET
asir-4687	144	10	same	same	ADJ
asir-4687	144	11	antenna	antenna	NOUN
asir-4687	144	12	sizes	size	NOUN
asir-4687	144	13	,	,	PUNCT
asir-4687	144	14	the	the	DET
asir-4687	144	15	frequency	frequency	NOUN
asir-4687	144	16	overlap	overlap	NOUN
asir-4687	144	17	factor	factor	NOUN
asir-4687	144	18	for	for	ADP
asir-4687	144	19	a	a	DET
asir-4687	144	20	thin	thin	ADJ
asir-4687	144	21	whip	whip	NOUN
asir-4687	144	22	antenna	antenna	NOUN
asir-4687	144	23	is	be	AUX
asir-4687	144	24	changes	change	NOUN
asir-4687	144	25	from	from	ADP
asir-4687	144	26	1.3	1.3	NUM
asir-4687	144	27	to	to	ADP
asir-4687	144	28	1.5	1.5	NUM
asir-4687	144	29	,	,	PUNCT
asir-4687	144	30	for	for	ADP
asir-4687	144	31	an	an	DET
asir-4687	144	32	antenna	antenna	NOUN
asir-4687	144	33	with	with	ADP
asir-4687	144	34	capacitive	capacitive	ADJ
asir-4687	144	35	loads	load	NOUN
asir-4687	144	36	from	from	ADP
asir-4687	144	37	1.5	1.5	NUM
asir-4687	144	38	to	to	ADP
asir-4687	144	39	3	3	NUM
asir-4687	144	40	,	,	PUNCT
asir-4687	144	41	with	with	ADP
asir-4687	144	42	capacitive	capacitive	ADJ
asir-4687	144	43	-	-	PUNCT
asir-4687	144	44	resistive	resistive	ADJ
asir-4687	144	45	loads	load	NOUN
asir-4687	144	46	from	from	ADP
asir-4687	144	47	3	3	NUM
asir-4687	144	48	to	to	ADP
asir-4687	144	49	4	4	NUM
asir-4687	144	50	,	,	PUNCT
asir-4687	144	51	with	with	ADP
asir-4687	144	52	tunable	tunable	ADJ
asir-4687	144	53	capacitors	capacitor	NOUN
asir-4687	144	54	from	from	ADP
asir-4687	144	55	4	4	NUM
asir-4687	144	56	to	to	PART
asir-4687	144	57	8	8	NUM
asir-4687	144	58	and	and	CCONJ
asir-4687	144	59	higher	high	ADJ
asir-4687	144	60	.	.	PUNCT
asir-4687	145	1	5	5	X
asir-4687	145	2	.	.	X
asir-4687	145	3	optimizing	optimize	VERB
asir-4687	145	4	antennas	antenna	NOUN
asir-4687	145	5	with	with	ADP
asir-4687	145	6	help	help	NOUN
asir-4687	145	7	of	of	ADP
asir-4687	145	8	the	the	DET
asir-4687	145	9	mathematical	mathematical	ADJ
asir-4687	145	10	programming	programming	NOUN
asir-4687	145	11	the	the	DET
asir-4687	145	12	described	describe	VERB
asir-4687	145	13	method	method	NOUN
asir-4687	145	14	of	of	ADP
asir-4687	145	15	analyzing	analyze	VERB
asir-4687	145	16	antennas	antenna	NOUN
asir-4687	145	17	with	with	ADP
asir-4687	145	18	loads	load	NOUN
asir-4687	145	19	,	,	PUNCT
asir-4687	145	20	based	base	VERB
asir-4687	145	21	on	on	ADP
asir-4687	145	22	the	the	DET
asir-4687	145	23	theory	theory	NOUN
asir-4687	145	24	of	of	ADP
asir-4687	145	25	an	an	DET
asir-4687	145	26	impedance	impedance	NOUN
asir-4687	145	27	radiator	radiator	NOUN
asir-4687	145	28	,	,	PUNCT
asir-4687	145	29	makes	make	VERB
asir-4687	145	30	it	it	PRON
asir-4687	145	31	possible	possible	ADJ
asir-4687	145	32	to	to	PART
asir-4687	145	33	determine	determine	VERB
asir-4687	145	34	the	the	DET
asir-4687	145	35	potential	potential	ADJ
asir-4687	145	36	capabilities	capability	NOUN
asir-4687	145	37	of	of	ADP
asir-4687	145	38	the	the	DET
asir-4687	145	39	considered	consider	VERB
asir-4687	145	40	radiators	radiator	NOUN
asir-4687	145	41	.	.	PUNCT
asir-4687	146	1	the	the	DET
asir-4687	146	2	obtained	obtain	VERB
asir-4687	146	3	results	result	NOUN
asir-4687	146	4	were	be	AUX
asir-4687	146	5	used	use	VERB
asir-4687	146	6	to	to	PART
asir-4687	146	7	optimize	optimize	VERB
asir-4687	146	8	antennas	antenna	NOUN
asir-4687	146	9	by	by	ADP
asir-4687	146	10	the	the	DET
asir-4687	146	11	mathematical	mathematical	ADJ
asir-4687	146	12	programming	programming	NOUN
asir-4687	146	13	method	method	NOUN
asir-4687	146	14	(	(	PUNCT
asir-4687	146	15	himmelblau	himmelblau	PROPN
asir-4687	146	16	,	,	PUNCT
asir-4687	146	17	1972	1972	NUM
asir-4687	146	18	)	)	PUNCT
asir-4687	146	19	.	.	PUNCT
asir-4687	147	1	this	this	DET
asir-4687	147	2	method	method	NOUN
asir-4687	147	3	makes	make	VERB
asir-4687	147	4	it	it	PRON
asir-4687	147	5	possible	possible	ADJ
asir-4687	147	6	to	to	PART
asir-4687	147	7	create	create	VERB
asir-4687	147	8	an	an	DET
asir-4687	147	9	antenna	antenna	NOUN
asir-4687	147	10	with	with	ADP
asir-4687	147	11	characteristics	characteristic	NOUN
asir-4687	147	12	that	that	PRON
asir-4687	147	13	are	be	AUX
asir-4687	147	14	as	as	ADV
asir-4687	147	15	close	close	ADJ
asir-4687	147	16	as	as	ADP
asir-4687	147	17	possible	possible	ADJ
asir-4687	147	18	to	to	ADP
asir-4687	147	19	the	the	DET
asir-4687	147	20	required	require	VERB
asir-4687	147	21	ones	one	NOUN
asir-4687	147	22	.	.	PUNCT
asir-4687	148	1	this	this	DET
asir-4687	148	2	reservation	reservation	NOUN
asir-4687	148	3	is	be	AUX
asir-4687	148	4	due	due	ADJ
asir-4687	148	5	to	to	ADP
asir-4687	148	6	the	the	DET
asir-4687	148	7	fact	fact	NOUN
asir-4687	148	8	that	that	SCONJ
asir-4687	148	9	the	the	DET
asir-4687	148	10	range	range	NOUN
asir-4687	148	11	of	of	ADP
asir-4687	148	12	variation	variation	NOUN
asir-4687	148	13	of	of	ADP
asir-4687	148	14	the	the	DET
asir-4687	148	15	radiator	radiator	NOUN
asir-4687	148	16	parameters	parameter	NOUN
asir-4687	148	17	is	be	AUX
asir-4687	148	18	limited	limit	VERB
asir-4687	148	19	,	,	PUNCT
asir-4687	148	20	i.e.	i.e.	X
asir-4687	148	21	,	,	PUNCT
asir-4687	148	22	not	not	PART
asir-4687	148	23	every	every	DET
asir-4687	148	24	value	value	NOUN
asir-4687	148	25	of	of	ADP
asir-4687	148	26	the	the	DET
asir-4687	148	27	electrical	electrical	ADJ
asir-4687	148	28	characteristic	characteristic	NOUN
asir-4687	148	29	of	of	ADP
asir-4687	148	30	a	a	DET
asir-4687	148	31	particular	particular	ADJ
asir-4687	148	32	antenna	antenna	NOUN
asir-4687	148	33	can	can	AUX
asir-4687	148	34	be	be	AUX
asir-4687	148	35	practically	practically	ADV
asir-4687	148	36	realized	realize	VERB
asir-4687	148	37	.	.	PUNCT
asir-4687	149	1	different	different	ADJ
asir-4687	149	2	characteristics	characteristic	NOUN
asir-4687	149	3	are	be	AUX
asir-4687	149	4	optimal	optimal	ADJ
asir-4687	149	5	at	at	ADP
asir-4687	149	6	different	different	ADJ
asir-4687	149	7	parameter	parameter	NOUN
asir-4687	149	8	values	value	NOUN
asir-4687	149	9	.	.	PUNCT
asir-4687	150	1	the	the	DET
asir-4687	150	2	antenna	antenna	NOUN
asir-4687	150	3	must	must	AUX
asir-4687	150	4	have	have	VERB
asir-4687	150	5	the	the	DET
asir-4687	150	6	desired	desire	VERB
asir-4687	150	7	characteristics	characteristic	NOUN
asir-4687	150	8	not	not	PART
asir-4687	150	9	at	at	ADP
asir-4687	150	10	one	one	NUM
asir-4687	150	11	fixed	fix	VERB
asir-4687	150	12	frequency	frequency	NOUN
asir-4687	150	13	,	,	PUNCT
asir-4687	150	14	but	but	CCONJ
asir-4687	150	15	over	over	ADP
asir-4687	150	16	the	the	DET
asir-4687	150	17	entire	entire	ADJ
asir-4687	150	18	frequency	frequency	NOUN
asir-4687	150	19	range	range	NOUN
asir-4687	150	20	.	.	PUNCT
asir-4687	151	1	therefore	therefore	ADV
asir-4687	151	2	,	,	PUNCT
asir-4687	151	3	the	the	DET
asir-4687	151	4	selected	select	VERB
asir-4687	151	5	parameters	parameter	NOUN
asir-4687	151	6	are	be	AUX
asir-4687	151	7	the	the	DET
asir-4687	151	8	result	result	NOUN
asir-4687	151	9	of	of	ADP
asir-4687	151	10	a	a	DET
asir-4687	151	11	compromise	compromise	NOUN
asir-4687	151	12	,	,	PUNCT
asir-4687	151	13	which	which	PRON
asir-4687	151	14	is	be	AUX
asir-4687	151	15	achieved	achieve	VERB
asir-4687	151	16	by	by	ADP
asir-4687	151	17	the	the	DET
asir-4687	151	18	method	method	NOUN
asir-4687	151	19	of	of	ADP
asir-4687	151	20	mathematical	mathematical	ADJ
asir-4687	151	21	programming	programming	NOUN
asir-4687	151	22	.	.	PUNCT
asir-4687	152	1	the	the	DET
asir-4687	152	2	problem	problem	NOUN
asir-4687	152	3	is	be	AUX
asir-4687	152	4	formulated	formulate	VERB
asir-4687	152	5	as	as	SCONJ
asir-4687	152	6	follows	follow	VERB
asir-4687	152	7	:	:	PUNCT
asir-4687	152	8	one	one	PRON
asir-4687	152	9	must	must	AUX
asir-4687	152	10	need	need	VERB
asir-4687	152	11	to	to	PART
asir-4687	152	12	find	find	VERB
asir-4687	152	13	a	a	DET
asir-4687	152	14	vector	vector	NOUN
asir-4687	152	15	of	of	ADP
asir-4687	152	16	parameters	parameter	NOUN
asir-4687	152	17	𝑥,⃗⃗⃗	𝑥,⃗⃗⃗	VERB
asir-4687	152	18	that	that	PRON
asir-4687	152	19	minimizes	minimize	VERB
asir-4687	152	20	the	the	DET
asir-4687	152	21	objective	objective	ADJ
asir-4687	152	22	function	function	NOUN
asir-4687	152	23	𝛷(𝑥	𝛷(𝑥	X
asir-4687	152	24	)	)	PUNCT
asir-4687	152	25	under	under	ADP
asir-4687	152	26	the	the	DET
asir-4687	152	27	imposed	impose	VERB
asir-4687	152	28	constraints	constraint	NOUN
asir-4687	152	29	φi(x⃗	φi(x⃗	PROPN
asir-4687	152	30	)	)	PUNCT
asir-4687	152	31	≥	≥	NOUN
asir-4687	152	32	0	0	NUM
asir-4687	152	33	.	.	PUNCT
asir-4687	153	1	the	the	DET
asir-4687	153	2	objective	objective	ADJ
asir-4687	153	3	function	function	NOUN
asir-4687	153	4	is	be	AUX
asir-4687	153	5	the	the	DET
asir-4687	153	6	sum	sum	NOUN
asir-4687	153	7	of	of	ADP
asir-4687	153	8	the	the	DET
asir-4687	153	9	particular	particular	ADJ
asir-4687	153	10	functionals	functional	NOUN
asir-4687	153	11	𝛷𝑗(𝑥	𝛷𝑗(𝑥	NOUN
asir-4687	153	12	)	)	PUNCT
asir-4687	153	13	.	.	PUNCT
asir-4687	154	1	each	each	DET
asir-4687	154	2	such	such	ADJ
asir-4687	154	3	functional	functional	ADJ
asir-4687	154	4	corresponds	correspond	NOUN
asir-4687	154	5	to	to	ADP
asir-4687	154	6	one	one	NUM
asir-4687	154	7	of	of	ADP
asir-4687	154	8	the	the	DET
asir-4687	154	9	antenna	antenna	NOUN
asir-4687	154	10	characteristics	characteristic	NOUN
asir-4687	154	11	𝑓𝑗	𝑓𝑗	ADV
asir-4687	154	12	and	and	CCONJ
asir-4687	154	13	is	be	AUX
asir-4687	154	14	multiplied	multiply	VERB
asir-4687	154	15	by	by	ADP
asir-4687	154	16	the	the	DET
asir-4687	154	17	weight	weight	NOUN
asir-4687	154	18	coefficient	coefficient	NOUN
asir-4687	154	19	𝑝𝑗	𝑝𝑗	PROPN
asir-4687	154	20	,	,	PUNCT
asir-4687	154	21	which	which	PRON
asir-4687	154	22	takes	take	VERB
asir-4687	154	23	into	into	ADP
asir-4687	154	24	account	account	NOUN
asir-4687	154	25	the	the	DET
asir-4687	154	26	importance	importance	NOUN
asir-4687	154	27	of	of	ADP
asir-4687	154	28	this	this	DET
asir-4687	154	29	characteristic	characteristic	NOUN
asir-4687	154	30	.	.	PUNCT
asir-4687	155	1	when	when	SCONJ
asir-4687	155	2	constructing	construct	VERB
asir-4687	155	3	a	a	DET
asir-4687	155	4	particular	particular	ADJ
asir-4687	155	5	functional	functional	NOUN
asir-4687	155	6	,	,	PUNCT
asir-4687	155	7	the	the	DET
asir-4687	155	8	quasichebyshev	quasichebyshev	ADJ
asir-4687	155	9	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-4687	155	10	applied	apply	VERB
asir-4687	155	11	science	science	NOUN
asir-4687	155	12	and	and	CCONJ
asir-4687	155	13	innovative	innovative	ADJ
asir-4687	155	14	research	research	NOUN
asir-4687	155	15	vol	vol	NOUN
asir-4687	155	16	.	.	PROPN
asir-4687	156	1	6	6	NUM
asir-4687	156	2	,	,	PUNCT
asir-4687	156	3	no	no	INTJ
asir-4687	156	4	.	.	NOUN
asir-4687	156	5	2	2	NUM
asir-4687	156	6	,	,	PUNCT
asir-4687	156	7	2022	2022	NUM
asir-4687	156	8	51	51	NUM
asir-4687	156	9	published	publish	VERB
asir-4687	156	10	by	by	ADP
asir-4687	156	11	scholink	scholink	PROPN
asir-4687	156	12	inc	inc	PROPN
asir-4687	156	13	.	.	PROPN
asir-4687	156	14	criterion	criterion	NOUN
asir-4687	156	15	gives	give	VERB
asir-4687	156	16	good	good	ADJ
asir-4687	156	17	results	result	NOUN
asir-4687	156	18	.	.	PUNCT
asir-4687	157	1	the	the	DET
asir-4687	157	2	choice	choice	NOUN
asir-4687	157	3	of	of	ADP
asir-4687	157	4	functions	function	NOUN
asir-4687	157	5	𝑓𝑗	𝑓𝑗	ADJ
asir-4687	157	6	depends	depend	VERB
asir-4687	157	7	on	on	ADP
asir-4687	157	8	the	the	DET
asir-4687	157	9	task	task	NOUN
asir-4687	157	10	at	at	ADP
asir-4687	157	11	hand	hand	NOUN
asir-4687	157	12	.	.	PUNCT
asir-4687	158	1	of	of	ADP
asir-4687	158	2	great	great	ADJ
asir-4687	158	3	practical	practical	ADJ
asir-4687	158	4	importance	importance	NOUN
asir-4687	158	5	is	be	AUX
asir-4687	158	6	a	a	DET
asir-4687	158	7	particular	particular	ADJ
asir-4687	158	8	case	case	NOUN
asir-4687	158	9	of	of	ADP
asir-4687	158	10	this	this	DET
asir-4687	158	11	problem	problem	NOUN
asir-4687	158	12	the	the	DET
asir-4687	158	13	creation	creation	NOUN
asir-4687	158	14	of	of	ADP
asir-4687	158	15	a	a	DET
asir-4687	158	16	radiator	radiator	NOUN
asir-4687	158	17	that	that	PRON
asir-4687	158	18	provides	provide	VERB
asir-4687	158	19	a	a	DET
asir-4687	158	20	high	high	ADJ
asir-4687	158	21	level	level	NOUN
asir-4687	158	22	of	of	ADP
asir-4687	158	23	matching	matching	NOUN
asir-4687	158	24	and	and	CCONJ
asir-4687	158	25	a	a	DET
asir-4687	158	26	maximum	maximum	ADJ
asir-4687	158	27	radiation	radiation	NOUN
asir-4687	158	28	in	in	ADP
asir-4687	158	29	the	the	DET
asir-4687	158	30	plane	plane	NOUN
asir-4687	158	31	perpendicular	perpendicular	NOUN
asir-4687	158	32	to	to	ADP
asir-4687	158	33	the	the	DET
asir-4687	158	34	axis	axis	NOUN
asir-4687	158	35	of	of	ADP
asir-4687	158	36	the	the	DET
asir-4687	158	37	radiator	radiator	NOUN
asir-4687	158	38	in	in	ADP
asir-4687	158	39	a	a	DET
asir-4687	158	40	wide	wide	ADJ
asir-4687	158	41	frequency	frequency	NOUN
asir-4687	158	42	band	band	NOUN
asir-4687	158	43	.	.	PUNCT
asir-4687	159	1	in	in	ADP
asir-4687	159	2	this	this	DET
asir-4687	159	3	case	case	NOUN
asir-4687	159	4	,	,	PUNCT
asir-4687	159	5	the	the	DET
asir-4687	159	6	coefficient	coefficient	NOUN
asir-4687	159	7	of	of	ADP
asir-4687	159	8	the	the	DET
asir-4687	159	9	traveling	travel	VERB
asir-4687	159	10	wave	wave	NOUN
asir-4687	159	11	in	in	ADP
asir-4687	159	12	the	the	DET
asir-4687	159	13	cable	cable	NOUN
asir-4687	159	14	and	and	CCONJ
asir-4687	159	15	the	the	DET
asir-4687	159	16	coefficient	coefficient	NOUN
asir-4687	159	17	of	of	ADP
asir-4687	159	18	the	the	DET
asir-4687	159	19	radiation	radiation	NOUN
asir-4687	159	20	pattern	pattern	NOUN
asir-4687	159	21	,	,	PUNCT
asir-4687	159	22	equal	equal	ADJ
asir-4687	159	23	to	to	ADP
asir-4687	159	24	the	the	DET
asir-4687	159	25	average	average	ADJ
asir-4687	159	26	level	level	NOUN
asir-4687	159	27	of	of	ADP
asir-4687	159	28	radiation	radiation	NOUN
asir-4687	159	29	under	under	ADP
asir-4687	159	30	angles	angle	NOUN
asir-4687	159	31	close	close	ADV
asir-4687	159	32	to	to	ADP
asir-4687	159	33	the	the	DET
asir-4687	159	34	horizon	horizon	NOUN
asir-4687	159	35	,	,	PUNCT
asir-4687	159	36	are	be	AUX
asir-4687	159	37	used	use	VERB
asir-4687	159	38	as	as	ADP
asir-4687	159	39	functions	function	NOUN
asir-4687	159	40	𝑓𝑗	𝑓𝑗	ADJ
asir-4687	159	41	.	.	PUNCT
asir-4687	160	1	since	since	SCONJ
asir-4687	160	2	there	there	PRON
asir-4687	160	3	is	be	VERB
asir-4687	160	4	no	no	DET
asir-4687	160	5	analytical	analytical	ADJ
asir-4687	160	6	expression	expression	NOUN
asir-4687	160	7	for	for	ADP
asir-4687	160	8	the	the	DET
asir-4687	160	9	objective	objective	ADJ
asir-4687	160	10	function	function	NOUN
asir-4687	160	11	,	,	PUNCT
asir-4687	160	12	the	the	DET
asir-4687	160	13	minimum	minimum	NOUN
asir-4687	160	14	of	of	ADP
asir-4687	160	15	the	the	DET
asir-4687	160	16	function	function	NOUN
asir-4687	160	17	is	be	AUX
asir-4687	160	18	determined	determine	VERB
asir-4687	160	19	by	by	ADP
asir-4687	160	20	a	a	DET
asir-4687	160	21	numerical	numerical	ADJ
asir-4687	160	22	method	method	NOUN
asir-4687	160	23	,	,	PUNCT
asir-4687	160	24	based	base	VERB
asir-4687	160	25	on	on	ADP
asir-4687	160	26	finding	find	VERB
asir-4687	160	27	the	the	DET
asir-4687	160	28	gradient	gradient	NOUN
asir-4687	160	29	.	.	PUNCT
asir-4687	161	1	the	the	DET
asir-4687	161	2	described	describe	VERB
asir-4687	161	3	process	process	NOUN
asir-4687	161	4	presupposes	presuppose	VERB
asir-4687	161	5	a	a	DET
asir-4687	161	6	repeated	repeat	VERB
asir-4687	161	7	calculation	calculation	NOUN
asir-4687	161	8	of	of	ADP
asir-4687	161	9	the	the	DET
asir-4687	161	10	radiator	radiator	NOUN
asir-4687	161	11	characteristics	characteristic	NOUN
asir-4687	161	12	for	for	ADP
asir-4687	161	13	various	various	ADJ
asir-4687	161	14	initial	initial	ADJ
asir-4687	161	15	parameters	parameter	NOUN
asir-4687	161	16	.	.	PUNCT
asir-4687	162	1	for	for	ADP
asir-4687	162	2	this	this	DET
asir-4687	162	3	calculation	calculation	NOUN
asir-4687	162	4	,	,	PUNCT
asir-4687	162	5	a	a	DET
asir-4687	162	6	program	program	NOUN
asir-4687	162	7	based	base	VERB
asir-4687	162	8	on	on	ADP
asir-4687	162	9	the	the	DET
asir-4687	162	10	method	method	NOUN
asir-4687	162	11	of	of	ADP
asir-4687	162	12	moments	moment	NOUN
asir-4687	162	13	is	be	AUX
asir-4687	162	14	applied	apply	VERB
asir-4687	162	15	.	.	PUNCT
asir-4687	163	1	as	as	ADP
asir-4687	163	2	the	the	DET
asir-4687	163	3	initial	initial	ADJ
asir-4687	163	4	values	value	NOUN
asir-4687	163	5	of	of	ADP
asir-4687	163	6	the	the	DET
asir-4687	163	7	parameters	parameter	NOUN
asir-4687	163	8	,	,	PUNCT
asir-4687	163	9	the	the	DET
asir-4687	163	10	values	value	NOUN
asir-4687	163	11	calculated	calculate	VERB
asir-4687	163	12	by	by	ADP
asir-4687	163	13	the	the	DET
asir-4687	163	14	method	method	NOUN
asir-4687	163	15	based	base	VERB
asir-4687	163	16	on	on	ADP
asir-4687	163	17	the	the	DET
asir-4687	163	18	theory	theory	NOUN
asir-4687	163	19	of	of	ADP
asir-4687	163	20	the	the	DET
asir-4687	163	21	impedance	impedance	NOUN
asir-4687	163	22	radiator	radiator	NOUN
asir-4687	163	23	are	be	AUX
asir-4687	163	24	used	use	VERB
asir-4687	163	25	.	.	PUNCT
asir-4687	164	1	as	as	ADP
asir-4687	164	2	a	a	DET
asir-4687	164	3	result	result	NOUN
asir-4687	164	4	,	,	PUNCT
asir-4687	164	5	the	the	DET
asir-4687	164	6	process	process	NOUN
asir-4687	164	7	of	of	ADP
asir-4687	164	8	finding	find	VERB
asir-4687	164	9	the	the	DET
asir-4687	164	10	minimum	minimum	NOUN
asir-4687	164	11	of	of	ADP
asir-4687	164	12	the	the	DET
asir-4687	164	13	objective	objective	ADJ
asir-4687	164	14	function	function	NOUN
asir-4687	164	15	is	be	AUX
asir-4687	164	16	accelerated	accelerate	VERB
asir-4687	164	17	,	,	PUNCT
asir-4687	164	18	but	but	CCONJ
asir-4687	164	19	most	most	ADV
asir-4687	164	20	importantly	importantly	ADV
asir-4687	164	21	,	,	PUNCT
asir-4687	164	22	the	the	DET
asir-4687	164	23	probability	probability	NOUN
asir-4687	164	24	of	of	ADP
asir-4687	164	25	an	an	DET
asir-4687	164	26	error	error	NOUN
asir-4687	164	27	,	,	PUNCT
asir-4687	164	28	caused	cause	VERB
asir-4687	164	29	by	by	ADP
asir-4687	164	30	the	the	DET
asir-4687	164	31	fact	fact	NOUN
asir-4687	164	32	that	that	SCONJ
asir-4687	164	33	with	with	ADP
asir-4687	164	34	an	an	DET
asir-4687	164	35	arbitrary	arbitrary	ADJ
asir-4687	164	36	choice	choice	NOUN
asir-4687	164	37	of	of	ADP
asir-4687	164	38	initial	initial	ADJ
asir-4687	164	39	parameters	parameter	NOUN
asir-4687	164	40	this	this	DET
asir-4687	164	41	optimization	optimization	NOUN
asir-4687	164	42	process	process	NOUN
asir-4687	164	43	can	can	AUX
asir-4687	164	44	lead	lead	VERB
asir-4687	164	45	not	not	PART
asir-4687	164	46	to	to	ADP
asir-4687	164	47	a	a	DET
asir-4687	164	48	true	true	ADJ
asir-4687	164	49	,	,	PUNCT
asir-4687	164	50	but	but	CCONJ
asir-4687	164	51	to	to	ADP
asir-4687	164	52	a	a	DET
asir-4687	164	53	local	local	ADJ
asir-4687	164	54	extremum	extremum	NOUN
asir-4687	164	55	,	,	PUNCT
asir-4687	164	56	decreases	decrease	VERB
asir-4687	164	57	.	.	PUNCT
asir-4687	165	1	in	in	ADP
asir-4687	165	2	figure	figure	NOUN
asir-4687	165	3	2	2	NUM
asir-4687	165	4	the	the	DET
asir-4687	165	5	result	result	NOUN
asir-4687	165	6	of	of	ADP
asir-4687	165	7	optimization	optimization	NOUN
asir-4687	165	8	(	(	PUNCT
asir-4687	165	9	minimal	minimal	ADJ
asir-4687	165	10	twr	twr	NOUN
asir-4687	165	11	)	)	PUNCT
asir-4687	165	12	of	of	ADP
asir-4687	165	13	12	12	NUM
asir-4687	165	14	-	-	PUNCT
asir-4687	165	15	meter	meter	NOUN
asir-4687	165	16	antenna	antenna	NOUN
asir-4687	165	17	with	with	ADP
asir-4687	165	18	an	an	DET
asir-4687	165	19	isolator	isolator	NOUN
asir-4687	165	20	capacitance	capacitance	NOUN
asir-4687	165	21	ci	ci	NOUN
asir-4687	165	22	=	=	SYM
asir-4687	165	23	15	15	NUM
asir-4687	165	24	pf	pf	NOUN
asir-4687	165	25	in	in	ADP
asir-4687	165	26	its	its	PRON
asir-4687	165	27	base	base	NOUN
asir-4687	165	28	is	be	AUX
asir-4687	165	29	presented	present	VERB
asir-4687	165	30	for	for	ADP
asir-4687	165	31	the	the	DET
asir-4687	165	32	different	different	ADJ
asir-4687	165	33	radii	radii	NOUN
asir-4687	165	34	a	a	DET
asir-4687	165	35	and	and	CCONJ
asir-4687	165	36	bandwidth	bandwidth	ADJ
asir-4687	165	37	ratios	ratio	NOUN
asir-4687	165	38	𝑘𝑓	𝑘𝑓	VERB
asir-4687	165	39	depending	depend	VERB
asir-4687	165	40	on	on	ADP
asir-4687	165	41	relative	relative	ADJ
asir-4687	165	42	antenna	antenna	NOUN
asir-4687	165	43	length	length	NOUN
asir-4687	165	44	𝐿	𝐿	PROPN
asir-4687	165	45	𝜆𝑚⁄	𝜆𝑚⁄	NOUN
asir-4687	165	46	(	(	PUNCT
asir-4687	165	47	𝜆𝑚	𝜆𝑚	INTJ
asir-4687	165	48	is	be	AUX
asir-4687	165	49	the	the	DET
asir-4687	165	50	maximal	maximal	ADJ
asir-4687	165	51	wavelength	wavelength	NOUN
asir-4687	165	52	)	)	PUNCT
asir-4687	165	53	.	.	PUNCT
asir-4687	166	1	figure	figure	NOUN
asir-4687	166	2	2	2	NUM
asir-4687	166	3	.	.	PUNCT
asir-4687	167	1	the	the	DET
asir-4687	167	2	maximum	maximum	ADJ
asir-4687	167	3	level	level	NOUN
asir-4687	167	4	of	of	ADP
asir-4687	167	5	matching	match	VERB
asir-4687	167	6	for	for	ADP
asir-4687	167	7	the	the	DET
asir-4687	167	8	first	first	ADJ
asir-4687	167	9	time	time	NOUN
asir-4687	167	10	,	,	PUNCT
asir-4687	167	11	the	the	DET
asir-4687	167	12	mathematical	mathematical	ADJ
asir-4687	167	13	programming	programming	NOUN
asir-4687	167	14	method	method	NOUN
asir-4687	167	15	for	for	ADP
asir-4687	167	16	optimizing	optimize	VERB
asir-4687	167	17	antenna	antenna	NOUN
asir-4687	167	18	devices	device	NOUN
asir-4687	167	19	was	be	AUX
asir-4687	167	20	applied	apply	VERB
asir-4687	167	21	to	to	ADP
asir-4687	167	22	the	the	DET
asir-4687	167	23	end	end	NOUN
asir-4687	167	24	-	-	PUNCT
asir-4687	167	25	fire	fire	NOUN
asir-4687	167	26	antenna	antenna	NOUN
asir-4687	167	27	array	array	NOUN
asir-4687	167	28	of	of	ADP
asir-4687	167	29	yagi	yagi	NOUN
asir-4687	167	30	-	-	PUNCT
asir-4687	167	31	uda	uda	NOUN
asir-4687	167	32	in	in	ADP
asir-4687	167	33	order	order	NOUN
asir-4687	167	34	to	to	PART
asir-4687	167	35	obtain	obtain	VERB
asir-4687	167	36	maximum	maximum	ADJ
asir-4687	167	37	directivity	directivity	NOUN
asir-4687	167	38	(	(	PUNCT
asir-4687	167	39	chaplin	chaplin	PROPN
asir-4687	167	40	,	,	PUNCT
asir-4687	167	41	1969	1969	NUM
asir-4687	167	42	)	)	PUNCT
asir-4687	167	43	.	.	PUNCT
asir-4687	168	1	the	the	DET
asir-4687	168	2	solution	solution	NOUN
asir-4687	168	3	of	of	ADP
asir-4687	168	4	the	the	DET
asir-4687	168	5	problem	problem	NOUN
asir-4687	168	6	was	be	AUX
asir-4687	168	7	brought	bring	VERB
asir-4687	168	8	to	to	ADP
asir-4687	168	9	practical	practical	ADJ
asir-4687	168	10	results	result	NOUN
asir-4687	168	11	(	(	PUNCT
asir-4687	168	12	chaplin	chaplin	PROPN
asir-4687	168	13	,	,	PUNCT
asir-4687	168	14	buchazky	buchazky	PROPN
asir-4687	168	15	,	,	PUNCT
asir-4687	168	16	&	&	CCONJ
asir-4687	168	17	mihailov	mihailov	PROPN
asir-4687	168	18	,	,	PUNCT
asir-4687	168	19	1983	1983	NUM
asir-4687	168	20	)	)	PUNCT
asir-4687	168	21	.	.	PUNCT
asir-4687	169	1	the	the	DET
asir-4687	169	2	similar	similar	ADJ
asir-4687	169	3	methods	method	NOUN
asir-4687	169	4	allowed	allow	VERB
asir-4687	169	5	to	to	PART
asir-4687	169	6	solve	solve	VERB
asir-4687	169	7	the	the	DET
asir-4687	169	8	problems	problem	NOUN
asir-4687	169	9	of	of	ADP
asir-4687	169	10	creating	create	VERB
asir-4687	169	11	the	the	DET
asir-4687	169	12	required	required	ADJ
asir-4687	169	13	current	current	ADJ
asir-4687	169	14	distribution	distribution	NOUN
asir-4687	169	15	in	in	ADP
asir-4687	169	16	the	the	DET
asir-4687	169	17	linear	linear	ADJ
asir-4687	169	18	radiator	radiator	NOUN
asir-4687	169	19	,	,	PUNCT
asir-4687	169	20	optimizing	optimize	VERB
asir-4687	169	21	the	the	DET
asir-4687	169	22	characteristics	characteristic	NOUN
asir-4687	169	23	of	of	ADP
asir-4687	169	24	v	v	NOUN
asir-4687	169	25	-	-	NOUN
asir-4687	169	26	antennas	antennas	NOUN
asir-4687	169	27	with	with	ADP
asir-4687	169	28	loads	load	NOUN
asir-4687	169	29	(	(	PUNCT
asir-4687	169	30	levin	levin	PROPN
asir-4687	169	31	,	,	PUNCT
asir-4687	169	32	1998	1998	NUM
asir-4687	169	33	)	)	PUNCT
asir-4687	169	34	,	,	PUNCT
asir-4687	169	35	etc	etc	X
asir-4687	169	36	.	.	X
asir-4687	169	37	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	PROPN
asir-4687	169	38	applied	apply	VERB
asir-4687	169	39	science	science	NOUN
asir-4687	169	40	and	and	CCONJ
asir-4687	169	41	innovative	innovative	ADJ
asir-4687	169	42	research	research	NOUN
asir-4687	169	43	vol	vol	NOUN
asir-4687	169	44	.	.	PROPN
asir-4687	170	1	6	6	NUM
asir-4687	170	2	,	,	PUNCT
asir-4687	170	3	no	no	INTJ
asir-4687	170	4	.	.	NOUN
asir-4687	170	5	2	2	NUM
asir-4687	170	6	,	,	PUNCT
asir-4687	170	7	2022	2022	NUM
asir-4687	170	8	52	52	NUM
asir-4687	170	9	published	publish	VERB
asir-4687	170	10	by	by	ADP
asir-4687	170	11	scholink	scholink	PROPN
asir-4687	170	12	inc	inc	PROPN
asir-4687	170	13	.	.	PROPN
asir-4687	170	14	6	6	NUM
asir-4687	170	15	.	.	PUNCT
asir-4687	171	1	new	new	ADJ
asir-4687	171	2	antennas	antenna	NOUN
asir-4687	171	3	and	and	CCONJ
asir-4687	171	4	methods	method	NOUN
asir-4687	171	5	the	the	DET
asir-4687	171	6	widespread	widespread	ADJ
asir-4687	171	7	use	use	NOUN
asir-4687	171	8	of	of	ADP
asir-4687	171	9	radiators	radiator	NOUN
asir-4687	171	10	in	in	ADP
asir-4687	171	11	various	various	ADJ
asir-4687	171	12	areas	area	NOUN
asir-4687	171	13	of	of	ADP
asir-4687	171	14	technology	technology	NOUN
asir-4687	171	15	has	have	AUX
asir-4687	171	16	led	lead	VERB
asir-4687	171	17	to	to	ADP
asir-4687	171	18	the	the	DET
asir-4687	171	19	development	development	NOUN
asir-4687	171	20	of	of	ADP
asir-4687	171	21	new	new	ADJ
asir-4687	171	22	antenna	antenna	NOUN
asir-4687	171	23	structures	structure	NOUN
asir-4687	171	24	.	.	PUNCT
asir-4687	172	1	the	the	DET
asir-4687	172	2	principle	principle	NOUN
asir-4687	172	3	of	of	ADP
asir-4687	172	4	duality	duality	NOUN
asir-4687	172	5	based	base	VERB
asir-4687	172	6	on	on	ADP
asir-4687	172	7	the	the	DET
asir-4687	172	8	symmetry	symmetry	NOUN
asir-4687	172	9	of	of	ADP
asir-4687	172	10	maxwell	maxwell	PROPN
asir-4687	172	11	’s	’s	PART
asir-4687	172	12	equations	equation	NOUN
asir-4687	172	13	with	with	ADP
asir-4687	172	14	respect	respect	NOUN
asir-4687	172	15	to	to	ADP
asir-4687	172	16	the	the	DET
asir-4687	172	17	quantities	quantity	NOUN
asir-4687	172	18	е⃗⃗	е⃗⃗	PROPN
asir-4687	172	19	ε0	ε0	PROPN
asir-4687	172	20	and	and	CCONJ
asir-4687	172	21	−𝜇0	−𝜇0	PROPN
asir-4687	172	22	�	�	PROPN
asir-4687	172	23	⃗⃗	⃗⃗	PROPN
asir-4687	172	24	�	�	PROPN
asir-4687	172	25	provided	provide	VERB
asir-4687	172	26	the	the	DET
asir-4687	172	27	calculating	calculate	VERB
asir-4687	172	28	properties	property	NOUN
asir-4687	172	29	of	of	ADP
asir-4687	172	30	magnetic	magnetic	ADJ
asir-4687	172	31	(	(	PUNCT
asir-4687	172	32	slot	slot	NOUN
asir-4687	172	33	)	)	PUNCT
asir-4687	172	34	radiators	radiator	NOUN
asir-4687	172	35	in	in	ADP
asir-4687	172	36	accordance	accordance	NOUN
asir-4687	172	37	with	with	ADP
asir-4687	172	38	the	the	DET
asir-4687	172	39	characteristics	characteristic	NOUN
asir-4687	172	40	of	of	ADP
asir-4687	172	41	electric	electric	ADJ
asir-4687	172	42	(	(	PUNCT
asir-4687	172	43	metal	metal	NOUN
asir-4687	172	44	)	)	PUNCT
asir-4687	172	45	ones	one	NOUN
asir-4687	172	46	.	.	PUNCT
asir-4687	173	1	the	the	DET
asir-4687	173	2	babinet	babinet	NOUN
asir-4687	173	3	’s	’s	PART
asir-4687	173	4	principle	principle	NOUN
asir-4687	173	5	(	(	PUNCT
asir-4687	173	6	mushiake	mushiake	NOUN
asir-4687	173	7	,	,	PUNCT
asir-4687	173	8	1996	1996	NUM
asir-4687	173	9	)	)	PUNCT
asir-4687	173	10	substantiated	substantiate	VERB
asir-4687	173	11	the	the	DET
asir-4687	173	12	possibility	possibility	NOUN
asir-4687	173	13	of	of	ADP
asir-4687	173	14	developing	develop	VERB
asir-4687	173	15	self	self	NOUN
asir-4687	173	16	-	-	PUNCT
asir-4687	173	17	supplementary	supplementary	ADJ
asir-4687	173	18	antennas	antenna	NOUN
asir-4687	173	19	.	.	PUNCT
asir-4687	174	1	the	the	DET
asir-4687	174	2	input	input	NOUN
asir-4687	174	3	impedances	impedance	NOUN
asir-4687	174	4	of	of	ADP
asir-4687	174	5	such	such	ADJ
asir-4687	174	6	antennas	antenna	NOUN
asir-4687	174	7	are	be	AUX
asir-4687	174	8	related	relate	VERB
asir-4687	174	9	by	by	ADP
asir-4687	174	10	the	the	DET
asir-4687	174	11	expression	expression	NOUN
asir-4687	174	12	zs	zs	X
asir-4687	174	13	=	=	SYM
asir-4687	175	1	(	(	PUNCT
asir-4687	175	2	60𝜋)2/	60𝜋)2/	NUM
asir-4687	175	3	ze	ze	PROPN
asir-4687	175	4	.	.	PUNCT
asir-4687	176	1	here	here	ADV
asir-4687	176	2	𝑍𝑠	𝑍𝑠	PROPN
asir-4687	176	3	is	be	AUX
asir-4687	176	4	the	the	DET
asir-4687	176	5	input	input	NOUN
asir-4687	176	6	impedance	impedance	NOUN
asir-4687	176	7	of	of	ADP
asir-4687	176	8	the	the	DET
asir-4687	176	9	slot	slot	NOUN
asir-4687	176	10	radiator	radiator	NOUN
asir-4687	176	11	,	,	PUNCT
asir-4687	176	12	equal	equal	ADJ
asir-4687	176	13	to	to	ADP
asir-4687	176	14	the	the	DET
asir-4687	176	15	input	input	NOUN
asir-4687	176	16	impedance	impedance	NOUN
asir-4687	176	17	of	of	ADP
asir-4687	176	18	the	the	DET
asir-4687	176	19	adjacent	adjacent	ADJ
asir-4687	176	20	metal	metal	NOUN
asir-4687	176	21	radiator	radiator	NOUN
asir-4687	176	22	,	,	PUNCT
asir-4687	176	23	𝑍𝑒	𝑍𝑒	PROPN
asir-4687	176	24	is	be	AUX
asir-4687	176	25	the	the	DET
asir-4687	176	26	input	input	NOUN
asir-4687	176	27	impedance	impedance	NOUN
asir-4687	176	28	of	of	ADP
asir-4687	176	29	the	the	DET
asir-4687	176	30	metal	metal	NOUN
asir-4687	176	31	radiator	radiator	NOUN
asir-4687	176	32	,	,	PUNCT
asir-4687	176	33	the	the	DET
asir-4687	176	34	shape	shape	NOUN
asir-4687	176	35	and	and	CCONJ
asir-4687	176	36	dimensions	dimension	NOUN
asir-4687	176	37	of	of	ADP
asir-4687	176	38	which	which	PRON
asir-4687	176	39	coincide	coincide	VERB
asir-4687	176	40	with	with	ADP
asir-4687	176	41	the	the	DET
asir-4687	176	42	shape	shape	NOUN
asir-4687	176	43	and	and	CCONJ
asir-4687	176	44	dimensions	dimension	NOUN
asir-4687	176	45	of	of	ADP
asir-4687	176	46	the	the	DET
asir-4687	176	47	slot	slot	NOUN
asir-4687	176	48	.	.	PUNCT
asir-4687	177	1	if	if	SCONJ
asir-4687	177	2	these	these	DET
asir-4687	177	3	antennas	antenna	NOUN
asir-4687	177	4	have	have	VERB
asir-4687	177	5	the	the	DET
asir-4687	177	6	same	same	ADJ
asir-4687	177	7	shape	shape	NOUN
asir-4687	177	8	and	and	CCONJ
asir-4687	177	9	dimensions	dimension	NOUN
asir-4687	177	10	,	,	PUNCT
asir-4687	177	11	they	they	PRON
asir-4687	177	12	are	be	AUX
asir-4687	177	13	called	call	VERB
asir-4687	177	14	self	self	NOUN
asir-4687	177	15	-	-	PUNCT
asir-4687	177	16	complementary	complementary	ADJ
asir-4687	177	17	.	.	PUNCT
asir-4687	178	1	in	in	ADP
asir-4687	178	2	this	this	DET
asir-4687	178	3	case	case	NOUN
asir-4687	178	4	,	,	PUNCT
asir-4687	178	5	𝑍𝑠	𝑍𝑠	PROPN
asir-4687	178	6	=	=	SYM
asir-4687	178	7	𝑍𝑒	𝑍𝑒	PROPN
asir-4687	178	8	=	=	PUNCT
asir-4687	178	9	60𝜋	60𝜋	NOUN
asir-4687	178	10	,	,	PUNCT
asir-4687	178	11	i.e.	i.e.	X
asir-4687	178	12	,	,	PUNCT
asir-4687	178	13	the	the	DET
asir-4687	178	14	input	input	NOUN
asir-4687	178	15	impedance	impedance	NOUN
asir-4687	178	16	of	of	ADP
asir-4687	178	17	each	each	DET
asir-4687	178	18	radiator	radiator	NOUN
asir-4687	178	19	does	do	AUX
asir-4687	178	20	not	not	PART
asir-4687	178	21	depend	depend	VERB
asir-4687	178	22	on	on	ADP
asir-4687	178	23	frequency	frequency	NOUN
asir-4687	178	24	,	,	PUNCT
asir-4687	178	25	is	be	AUX
asir-4687	178	26	purely	purely	ADV
asir-4687	178	27	active	active	ADJ
asir-4687	178	28	and	and	CCONJ
asir-4687	178	29	is	be	AUX
asir-4687	178	30	equal	equal	ADJ
asir-4687	178	31	to	to	ADP
asir-4687	178	32	60π	60π	NOUN
asir-4687	178	33	.	.	PUNCT
asir-4687	179	1	the	the	DET
asir-4687	179	2	special	special	ADJ
asir-4687	179	3	properties	property	NOUN
asir-4687	179	4	of	of	ADP
asir-4687	179	5	such	such	ADJ
asir-4687	179	6	structures	structure	NOUN
asir-4687	179	7	make	make	VERB
asir-4687	179	8	them	they	PRON
asir-4687	179	9	unique	unique	ADJ
asir-4687	179	10	.	.	PUNCT
asir-4687	180	1	these	these	DET
asir-4687	180	2	properties	property	NOUN
asir-4687	180	3	are	be	AUX
asir-4687	180	4	partially	partially	ADV
asir-4687	180	5	preserved	preserve	VERB
asir-4687	180	6	if	if	SCONJ
asir-4687	180	7	the	the	DET
asir-4687	180	8	dimensions	dimension	NOUN
asir-4687	180	9	of	of	ADP
asir-4687	180	10	the	the	DET
asir-4687	180	11	metal	metal	NOUN
asir-4687	180	12	sheet	sheet	NOUN
asir-4687	180	13	are	be	AUX
asir-4687	180	14	finite	finite	ADJ
asir-4687	180	15	.	.	PUNCT
asir-4687	181	1	as	as	SCONJ
asir-4687	181	2	shown	show	VERB
asir-4687	181	3	for	for	ADP
asir-4687	181	4	the	the	DET
asir-4687	181	5	first	first	ADJ
asir-4687	181	6	time	time	NOUN
asir-4687	181	7	in	in	ADP
asir-4687	181	8	levin	levin	PROPN
asir-4687	181	9	and	and	CCONJ
asir-4687	181	10	markov	markov	PROPN
asir-4687	181	11	(	(	PUNCT
asir-4687	181	12	1997	1997	NUM
asir-4687	181	13	)	)	PUNCT
asir-4687	181	14	,	,	PUNCT
asir-4687	181	15	an	an	DET
asir-4687	181	16	antenna	antenna	NOUN
asir-4687	181	17	consisting	consist	VERB
asir-4687	181	18	of	of	ADP
asir-4687	181	19	metal	metal	NOUN
asir-4687	181	20	and	and	CCONJ
asir-4687	181	21	slot	slot	NOUN
asir-4687	181	22	radiators	radiator	NOUN
asir-4687	181	23	of	of	ADP
asir-4687	181	24	the	the	DET
asir-4687	181	25	same	same	ADJ
asir-4687	181	26	shape	shape	NOUN
asir-4687	181	27	and	and	CCONJ
asir-4687	181	28	size	size	NOUN
asir-4687	181	29	can	can	AUX
asir-4687	181	30	be	be	AUX
asir-4687	181	31	three	three	NUM
asir-4687	181	32	-	-	PUNCT
asir-4687	181	33	dimensional	dimensional	ADJ
asir-4687	181	34	.	.	PUNCT
asir-4687	182	1	the	the	DET
asir-4687	182	2	such	such	ADJ
asir-4687	182	3	radiator	radiator	NOUN
asir-4687	182	4	can	can	AUX
asir-4687	182	5	be	be	AUX
asir-4687	182	6	placed	place	VERB
asir-4687	182	7	on	on	ADP
asir-4687	182	8	the	the	DET
asir-4687	182	9	surface	surface	NOUN
asir-4687	182	10	of	of	ADP
asir-4687	182	11	a	a	DET
asir-4687	182	12	circular	circular	ADJ
asir-4687	182	13	cone	cone	NOUN
asir-4687	182	14	,	,	PUNCT
asir-4687	182	15	paraboloid	paraboloid	ADJ
asir-4687	182	16	or	or	CCONJ
asir-4687	182	17	pyramid	pyramid	NOUN
asir-4687	182	18	(	(	PUNCT
asir-4687	182	19	levin	levin	PROPN
asir-4687	182	20	,	,	PUNCT
asir-4687	182	21	2019	2019	NUM
asir-4687	182	22	)	)	PUNCT
asir-4687	182	23	.	.	PUNCT
asir-4687	183	1	in	in	ADP
asir-4687	183	2	the	the	DET
asir-4687	183	3	case	case	NOUN
asir-4687	183	4	of	of	ADP
asir-4687	183	5	a	a	DET
asir-4687	183	6	double	double	ADJ
asir-4687	183	7	-	-	PUNCT
asir-4687	183	8	sided	sided	ADJ
asir-4687	183	9	slot	slot	NOUN
asir-4687	183	10	antenna	antenna	NOUN
asir-4687	183	11	located	locate	VERB
asir-4687	183	12	on	on	ADP
asir-4687	183	13	a	a	DET
asir-4687	183	14	circular	circular	ADJ
asir-4687	183	15	metal	metal	NOUN
asir-4687	183	16	cone	cone	NOUN
asir-4687	183	17	of	of	ADP
asir-4687	183	18	infinite	infinite	ADJ
asir-4687	183	19	length	length	NOUN
asir-4687	183	20	and	and	CCONJ
asir-4687	183	21	excited	excite	VERB
asir-4687	183	22	at	at	ADP
asir-4687	183	23	its	its	PRON
asir-4687	183	24	apex	apex	NOUN
asir-4687	183	25	(	(	PUNCT
asir-4687	183	26	see	see	VERB
asir-4687	183	27	figure	figure	NOUN
asir-4687	183	28	3	3	NUM
asir-4687	183	29	)	)	PUNCT
asir-4687	183	30	,	,	PUNCT
asir-4687	183	31	the	the	DET
asir-4687	183	32	input	input	NOUN
asir-4687	183	33	impedance	impedance	NOUN
asir-4687	183	34	of	of	ADP
asir-4687	183	35	the	the	DET
asir-4687	183	36	structure	structure	NOUN
asir-4687	183	37	is	be	AUX
asir-4687	183	38	𝑍𝑀	𝑍𝑀	PROPN
asir-4687	183	39	=	=	PUNCT
asir-4687	183	40	(	(	PUNCT
asir-4687	183	41	120𝜋)2/𝑍𝑒	120𝜋)2/𝑍𝑒	NUM
asir-4687	183	42	,	,	PUNCT
asir-4687	183	43	where	where	SCONJ
asir-4687	183	44	𝑍𝑀	𝑍𝑀	PROPN
asir-4687	183	45	and	and	CCONJ
asir-4687	183	46	𝑍𝑒	𝑍𝑒	PROPN
asir-4687	183	47	are	be	AUX
asir-4687	183	48	the	the	DET
asir-4687	183	49	input	input	NOUN
asir-4687	183	50	impedances	impedance	NOUN
asir-4687	183	51	of	of	ADP
asir-4687	183	52	the	the	DET
asir-4687	183	53	magnetic	magnetic	ADJ
asir-4687	183	54	and	and	CCONJ
asir-4687	183	55	electric	electric	ADJ
asir-4687	183	56	radiators	radiator	NOUN
asir-4687	183	57	,	,	PUNCT
asir-4687	183	58	respectively	respectively	ADV
asir-4687	183	59	.	.	PUNCT
asir-4687	184	1	figure	figure	NOUN
asir-4687	184	2	3	3	NUM
asir-4687	184	3	.	.	PUNCT
asir-4687	185	1	the	the	DET
asir-4687	185	2	slot	slot	NOUN
asir-4687	185	3	antennas	antenna	NOUN
asir-4687	185	4	at	at	ADP
asir-4687	185	5	the	the	DET
asir-4687	185	6	cone	cone	NOUN
asir-4687	185	7	with	with	ADP
asir-4687	185	8	a	a	DET
asir-4687	185	9	straight	straight	ADJ
asir-4687	185	10	-	-	PUNCT
asir-4687	185	11	line	line	NOUN
asir-4687	185	12	(	(	PUNCT
asir-4687	185	13	a	a	NOUN
asir-4687	185	14	)	)	PUNCT
asir-4687	185	15	and	and	CCONJ
asir-4687	185	16	the	the	DET
asir-4687	185	17	helical	helical	ADJ
asir-4687	185	18	(	(	PUNCT
asir-4687	185	19	b	b	NOUN
asir-4687	185	20	)	)	PUNCT
asir-4687	185	21	edges	edge	NOUN
asir-4687	185	22	experts	expert	NOUN
asir-4687	185	23	have	have	AUX
asir-4687	185	24	considered	consider	VERB
asir-4687	185	25	and	and	CCONJ
asir-4687	185	26	applied	apply	VERB
asir-4687	185	27	a	a	DET
asir-4687	185	28	wide	wide	ADJ
asir-4687	185	29	variety	variety	NOUN
asir-4687	185	30	of	of	ADP
asir-4687	185	31	antenna	antenna	NOUN
asir-4687	185	32	structures	structure	NOUN
asir-4687	185	33	,	,	PUNCT
asir-4687	185	34	including	include	VERB
asir-4687	185	35	loop	loop	NOUN
asir-4687	185	36	antennas	antenna	NOUN
asir-4687	185	37	(	(	PUNCT
asir-4687	185	38	round	round	NOUN
asir-4687	185	39	and	and	CCONJ
asir-4687	185	40	square	square	ADJ
asir-4687	185	41	)	)	PUNCT
asir-4687	185	42	,	,	PUNCT
asir-4687	185	43	folded	fold	VERB
asir-4687	185	44	and	and	CCONJ
asir-4687	185	45	multi	multi	ADJ
asir-4687	185	46	-	-	ADJ
asir-4687	185	47	folded	folded	ADJ
asir-4687	185	48	(	(	PUNCT
asir-4687	185	49	metal	metal	NOUN
asir-4687	185	50	and	and	CCONJ
asir-4687	185	51	with	with	ADP
asir-4687	185	52	inductive	inductive	ADJ
asir-4687	185	53	surface	surface	NOUN
asir-4687	185	54	impedance	impedance	NOUN
asir-4687	185	55	)	)	PUNCT
asir-4687	185	56	,	,	PUNCT
asir-4687	185	57	transparent	transparent	ADJ
asir-4687	185	58	(	(	PUNCT
asir-4687	185	59	with	with	ADP
asir-4687	185	60	resistive	resistive	ADJ
asir-4687	185	61	surface	surface	NOUN
asir-4687	185	62	impedance	impedance	NOUN
asir-4687	185	63	)	)	PUNCT
asir-4687	185	64	,	,	PUNCT
asir-4687	185	65	multi	multi	ADJ
asir-4687	185	66	-	-	ADJ
asir-4687	185	67	wire	wire	ADJ
asir-4687	185	68	and	and	CCONJ
asir-4687	185	69	multi	multi	ADJ
asir-4687	185	70	-	-	NOUN
asir-4687	185	71	radiator	radiator	NOUN
asir-4687	185	72	,	,	PUNCT
asir-4687	185	73	including	include	VERB
asir-4687	185	74	antennas	antenna	NOUN
asir-4687	185	75	with	with	ADP
asir-4687	185	76	an	an	DET
asir-4687	185	77	absorber	absorber	NOUN
asir-4687	185	78	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-4687	185	79	applied	apply	VERB
asir-4687	185	80	science	science	NOUN
asir-4687	185	81	and	and	CCONJ
asir-4687	185	82	innovative	innovative	ADJ
asir-4687	185	83	research	research	NOUN
asir-4687	185	84	vol	vol	NOUN
asir-4687	185	85	.	.	PROPN
asir-4687	186	1	6	6	NUM
asir-4687	186	2	,	,	PUNCT
asir-4687	186	3	no	no	INTJ
asir-4687	186	4	.	.	NOUN
asir-4687	186	5	2	2	NUM
asir-4687	186	6	,	,	PUNCT
asir-4687	186	7	2022	2022	NUM
asir-4687	186	8	53	53	NUM
asir-4687	186	9	published	publish	VERB
asir-4687	186	10	by	by	ADP
asir-4687	186	11	scholink	scholink	PROPN
asir-4687	186	12	inc	inc	PROPN
asir-4687	186	13	.	.	PROPN
asir-4687	187	1	(	(	PUNCT
asir-4687	187	2	halpern	halpern	PROPN
asir-4687	187	3	&	&	CCONJ
asir-4687	187	4	mittra	mittra	PROPN
asir-4687	187	5	,	,	PUNCT
asir-4687	187	6	1985	1985	NUM
asir-4687	187	7	)	)	PUNCT
asir-4687	187	8	)	)	PUNCT
asir-4687	187	9	.	.	PUNCT
asir-4687	188	1	microstrip	microstrip	NOUN
asir-4687	188	2	antennas	antenna	NOUN
asir-4687	188	3	(	(	PUNCT
asir-4687	188	4	simple	simple	ADJ
asir-4687	188	5	and	and	CCONJ
asir-4687	188	6	multiple	multiple	ADJ
asir-4687	188	7	-	-	PUNCT
asir-4687	188	8	stack	stack	NOUN
asir-4687	188	9	)	)	PUNCT
asir-4687	188	10	characterized	characterize	VERB
asir-4687	188	11	by	by	ADP
asir-4687	188	12	simplicity	simplicity	NOUN
asir-4687	188	13	and	and	CCONJ
asir-4687	188	14	wide	wide	ADJ
asir-4687	188	15	possibilities	possibility	NOUN
asir-4687	188	16	of	of	ADP
asir-4687	188	17	their	their	PRON
asir-4687	188	18	installation	installation	NOUN
asir-4687	188	19	,	,	PUNCT
asir-4687	188	20	have	have	AUX
asir-4687	188	21	been	be	AUX
asir-4687	188	22	proposed	propose	VERB
asir-4687	188	23	and	and	CCONJ
asir-4687	188	24	applied	apply	VERB
asir-4687	188	25	on	on	ADP
asir-4687	188	26	various	various	ADJ
asir-4687	188	27	moving	move	VERB
asir-4687	188	28	objects	object	NOUN
asir-4687	188	29	.	.	PUNCT
asir-4687	189	1	a	a	DET
asir-4687	189	2	variety	variety	NOUN
asir-4687	189	3	of	of	ADP
asir-4687	189	4	antenna	antenna	NOUN
asir-4687	189	5	options	option	NOUN
asir-4687	189	6	for	for	ADP
asir-4687	189	7	cellular	cellular	ADJ
asir-4687	189	8	telephones	telephone	NOUN
asir-4687	189	9	allows	allow	VERB
asir-4687	189	10	to	to	PART
asir-4687	189	11	reduce	reduce	VERB
asir-4687	189	12	irradiation	irradiation	NOUN
asir-4687	189	13	of	of	ADP
asir-4687	189	14	the	the	DET
asir-4687	189	15	user	user	NOUN
asir-4687	189	16	’s	’s	PART
asir-4687	189	17	head	head	NOUN
asir-4687	189	18	.	.	PUNCT
asir-4687	190	1	in	in	ADP
asir-4687	190	2	addition	addition	NOUN
asir-4687	190	3	to	to	ADP
asir-4687	190	4	a	a	DET
asir-4687	190	5	dipole	dipole	NOUN
asir-4687	190	6	log	log	NOUN
asir-4687	190	7	-	-	PUNCT
asir-4687	190	8	periodic	periodic	NOUN
asir-4687	190	9	antenna	antenna	NOUN
asir-4687	190	10	providing	provide	VERB
asir-4687	190	11	operation	operation	NOUN
asir-4687	190	12	in	in	ADP
asir-4687	190	13	a	a	DET
asir-4687	190	14	wide	wide	ADJ
asir-4687	190	15	frequency	frequency	NOUN
asir-4687	190	16	range	range	NOUN
asir-4687	190	17	,	,	PUNCT
asir-4687	190	18	a	a	DET
asir-4687	190	19	monopole	monopole	NOUN
asir-4687	190	20	log	log	NOUN
asir-4687	190	21	-	-	PUNCT
asir-4687	190	22	periodic	periodic	NOUN
asir-4687	190	23	antenna	antenna	NOUN
asir-4687	190	24	(	(	PUNCT
asir-4687	190	25	yakovlev	yakovlev	PROPN
asir-4687	190	26	&	&	CCONJ
asir-4687	190	27	pyatnenkov	pyatnenkov	PROPN
asir-4687	190	28	,	,	PUNCT
asir-4687	190	29	2007	2007	NUM
asir-4687	190	30	)	)	PUNCT
asir-4687	190	31	and	and	CCONJ
asir-4687	190	32	a	a	DET
asir-4687	190	33	multi	multi	ADJ
asir-4687	190	34	-	-	ADJ
asir-4687	190	35	tiered	tiered	ADJ
asir-4687	190	36	antenna	antenna	NOUN
asir-4687	190	37	with	with	ADP
asir-4687	190	38	a	a	DET
asir-4687	190	39	directional	directional	ADJ
asir-4687	190	40	pattern	pattern	NOUN
asir-4687	190	41	pressed	press	VERB
asir-4687	190	42	to	to	ADP
asir-4687	190	43	the	the	DET
asir-4687	190	44	ground	ground	NOUN
asir-4687	190	45	(	(	PUNCT
asir-4687	190	46	levin	levin	PROPN
asir-4687	190	47	&	&	CCONJ
asir-4687	190	48	yakovlev	yakovlev	PROPN
asir-4687	190	49	,	,	PUNCT
asir-4687	190	50	1992	1992	NUM
asir-4687	190	51	)	)	PUNCT
asir-4687	190	52	were	be	AUX
asir-4687	190	53	developed	develop	VERB
asir-4687	190	54	.	.	PUNCT
asir-4687	191	1	also	also	ADV
asir-4687	191	2	new	new	ADJ
asir-4687	191	3	interesting	interesting	ADJ
asir-4687	191	4	methods	method	NOUN
asir-4687	191	5	of	of	ADP
asir-4687	191	6	antenna	antenna	NOUN
asir-4687	191	7	analysis	analysis	NOUN
asir-4687	191	8	and	and	CCONJ
asir-4687	191	9	synthesis	synthesis	NOUN
asir-4687	191	10	recently	recently	ADV
asir-4687	191	11	have	have	AUX
asir-4687	191	12	been	be	AUX
asir-4687	191	13	proposed	propose	VERB
asir-4687	191	14	,	,	PUNCT
asir-4687	191	15	including	include	VERB
asir-4687	191	16	:	:	PUNCT
asir-4687	191	17	method	method	NOUN
asir-4687	191	18	of	of	ADP
asir-4687	191	19	electrostatic	electrostatic	ADJ
asir-4687	191	20	analogy	analogy	NOUN
asir-4687	191	21	,	,	PUNCT
asir-4687	191	22	application	application	NOUN
asir-4687	191	23	of	of	ADP
asir-4687	191	24	the	the	DET
asir-4687	191	25	complex	complex	ADJ
asir-4687	191	26	potential	potential	ADJ
asir-4687	191	27	method	method	NOUN
asir-4687	191	28	to	to	PART
asir-4687	191	29	microstrip	microstrip	VERB
asir-4687	191	30	antenna	antenna	NOUN
asir-4687	191	31	analysis	analysis	NOUN
asir-4687	191	32	,	,	PUNCT
asir-4687	191	33	approximate	approximate	ADJ
asir-4687	191	34	integral	integral	ADJ
asir-4687	191	35	equation	equation	NOUN
asir-4687	191	36	for	for	ADP
asir-4687	191	37	a	a	DET
asir-4687	191	38	non	non	ADJ
asir-4687	191	39	-	-	ADJ
asir-4687	191	40	straight	straight	ADJ
asir-4687	191	41	antenna	antenna	NOUN
asir-4687	191	42	,	,	PUNCT
asir-4687	191	43	reduction	reduction	NOUN
asir-4687	191	44	of	of	ADP
asir-4687	191	45	three	three	NUM
asir-4687	191	46	-	-	PUNCT
asir-4687	191	47	dimensional	dimensional	ADJ
asir-4687	191	48	problem	problem	NOUN
asir-4687	191	49	to	to	ADP
asir-4687	191	50	a	a	DET
asir-4687	191	51	plane	plane	NOUN
asir-4687	191	52	one	one	NOUN
asir-4687	191	53	,	,	PUNCT
asir-4687	191	54	reciprocity	reciprocity	NOUN
asir-4687	191	55	theorem	theorem	VERB
asir-4687	191	56	for	for	ADP
asir-4687	191	57	reflect	reflect	NOUN
asir-4687	191	58	array	array	NOUN
asir-4687	191	59	,	,	PUNCT
asir-4687	191	60	expanding	expand	VERB
asir-4687	191	61	frequency	frequency	ADJ
asir-4687	191	62	band	band	NOUN
asir-4687	191	63	of	of	ADP
asir-4687	191	64	microstrip	microstrip	NOUN
asir-4687	191	65	antenna	antenna	NOUN
asir-4687	191	66	,	,	PUNCT
asir-4687	191	67	methods	method	NOUN
asir-4687	191	68	of	of	ADP
asir-4687	191	69	struggle	struggle	NOUN
asir-4687	191	70	with	with	ADP
asir-4687	191	71	influence	influence	NOUN
asir-4687	191	72	of	of	ADP
asir-4687	191	73	moving	move	VERB
asir-4687	191	74	external	external	ADJ
asir-4687	191	75	metallic	metallic	ADJ
asir-4687	191	76	objects	object	NOUN
asir-4687	191	77	.	.	PUNCT
asir-4687	192	1	the	the	DET
asir-4687	192	2	blast	blast	NOUN
asir-4687	192	3	wave	wave	NOUN
asir-4687	192	4	still	still	ADV
asir-4687	192	5	works	work	VERB
asir-4687	192	6	.	.	PUNCT
asir-4687	193	1	references	reference	NOUN
asir-4687	193	2	aharoni	aharoni	PROPN
asir-4687	193	3	,	,	PUNCT
asir-4687	193	4	j.	j.	PROPN
asir-4687	193	5	(	(	PUNCT
asir-4687	193	6	1946	1946	NUM
asir-4687	193	7	)	)	PUNCT
asir-4687	193	8	.	.	PUNCT
asir-4687	194	1	antennae	antennae	NOUN
asir-4687	194	2	:	:	PUNCT
asir-4687	194	3	an	an	DET
asir-4687	194	4	introduction	introduction	NOUN
asir-4687	194	5	to	to	ADP
asir-4687	194	6	their	their	PRON
asir-4687	194	7	theory	theory	NOUN
asir-4687	194	8	.	.	PUNCT
asir-4687	195	1	the	the	DET
asir-4687	195	2	clarendon	clarendon	PROPN
asir-4687	195	3	press	press	NOUN
asir-4687	195	4	:	:	PUNCT
asir-4687	195	5	oxford	oxford	PROPN
asir-4687	195	6	.	.	PUNCT
asir-4687	196	1	chaplin	chaplin	PROPN
asir-4687	196	2	,	,	PUNCT
asir-4687	196	3	a.	a.	PROPN
asir-4687	196	4	f.	f.	PROPN
asir-4687	196	5	(	(	PUNCT
asir-4687	196	6	1969	1969	NUM
asir-4687	196	7	)	)	PUNCT
asir-4687	196	8	.	.	PUNCT
asir-4687	197	1	synthesis	synthesis	NOUN
asir-4687	197	2	of	of	ADP
asir-4687	197	3	arrays	array	NOUN
asir-4687	197	4	of	of	ADP
asir-4687	197	5	passive	passive	ADJ
asir-4687	197	6	radiators	radiator	NOUN
asir-4687	197	7	.	.	PUNCT
asir-4687	198	1	izvestiya	izvestiya	PROPN
asir-4687	198	2	vuzov	vuzov	PROPN
asir-4687	198	3	of	of	ADP
asir-4687	198	4	ussr	ussr	ADJ
asir-4687	198	5	–	–	PUNCT
asir-4687	198	6	radioelectronics	radioelectronic	NOUN
asir-4687	198	7	,	,	PUNCT
asir-4687	198	8	6	6	NUM
asir-4687	198	9	,	,	PUNCT
asir-4687	198	10	559	559	NUM
asir-4687	198	11	-	-	SYM
asir-4687	198	12	562	562	NUM
asir-4687	198	13	.	.	PUNCT
asir-4687	199	1	(	(	PUNCT
asir-4687	199	2	in	in	ADP
asir-4687	199	3	russian	russian	NOUN
asir-4687	199	4	)	)	PUNCT
asir-4687	199	5	.	.	PUNCT
asir-4687	200	1	chaplin	chaplin	PROPN
asir-4687	200	2	,	,	PUNCT
asir-4687	200	3	a.	a.	PROPN
asir-4687	200	4	f.	f.	PROPN
asir-4687	200	5	,	,	PUNCT
asir-4687	200	6	buchazky	buchazky	PROPN
asir-4687	200	7	,	,	PUNCT
asir-4687	200	8	m.	m.	NOUN
asir-4687	200	9	d.	d.	PROPN
asir-4687	200	10	,	,	PUNCT
asir-4687	200	11	&	&	CCONJ
asir-4687	200	12	mihailov	mihailov	PROPN
asir-4687	200	13	,	,	PUNCT
asir-4687	200	14	m.	m.	PROPN
asir-4687	200	15	yu	yu	PROPN
asir-4687	200	16	.	.	PUNCT
asir-4687	200	17	(	(	PUNCT
asir-4687	200	18	1983	1983	NUM
asir-4687	200	19	)	)	PUNCT
asir-4687	200	20	.	.	PUNCT
asir-4687	201	1	optimization	optimization	NOUN
asir-4687	201	2	of	of	ADP
asir-4687	201	3	director	director	NOUN
asir-4687	201	4	-	-	PUNCT
asir-4687	201	5	type	type	NOUN
asir-4687	201	6	antennas	antenna	NOUN
asir-4687	201	7	.	.	PUNCT
asir-4687	202	1	radiotechnics	radiotechnic	NOUN
asir-4687	202	2	,	,	PUNCT
asir-4687	202	3	7	7	NUM
asir-4687	202	4	,	,	PUNCT
asir-4687	202	5	79	79	NUM
asir-4687	202	6	-	-	SYM
asir-4687	202	7	82	82	NUM
asir-4687	202	8	.	.	PUNCT
asir-4687	203	1	(	(	PUNCT
asir-4687	203	2	in	in	ADP
asir-4687	203	3	russian	russian	NOUN
asir-4687	203	4	)	)	PUNCT
asir-4687	203	5	.	.	PUNCT
asir-4687	204	1	duncan	duncan	PROPN
asir-4687	204	2	,	,	PUNCT
asir-4687	204	3	r.	r.	PROPN
asir-4687	204	4	h.	h.	PROPN
asir-4687	204	5	,	,	PUNCT
asir-4687	204	6	&	&	CCONJ
asir-4687	204	7	hinchey	hinchey	PROPN
asir-4687	204	8	,	,	PUNCT
asir-4687	204	9	f.	f.	PROPN
asir-4687	204	10	(	(	PUNCT
asir-4687	204	11	1960	1960	NUM
asir-4687	204	12	,	,	PUNCT
asir-4687	204	13	september	september	PROPN
asir-4687	204	14	-	-	PUNCT
asir-4687	204	15	october	october	PROPN
asir-4687	204	16	)	)	PUNCT
asir-4687	204	17	.	.	PUNCT
asir-4687	205	1	cylindrical	cylindrical	ADJ
asir-4687	205	2	antenna	antenna	NOUN
asir-4687	205	3	theory	theory	NOUN
asir-4687	205	4	.	.	PUNCT
asir-4687	206	1	j.	j.	PROPN
asir-4687	206	2	res	res	PROPN
asir-4687	206	3	.	.	PUNCT
asir-4687	207	1	nbs	nbs	PROPN
asir-4687	207	2	,	,	PUNCT
asir-4687	207	3	64d	64d	PROPN
asir-4687	207	4	,	,	PUNCT
asir-4687	207	5	569	569	NUM
asir-4687	207	6	-	-	SYM
asir-4687	207	7	584	584	NUM
asir-4687	207	8	.	.	PUNCT
asir-4687	208	1	https://doi.org/10.6028/jres.064d.069	https://doi.org/10.6028/jres.064d.069	PROPN
asir-4687	208	2	hallen	hallen	PROPN
asir-4687	208	3	,	,	PUNCT
asir-4687	208	4	e.	e.	PROPN
asir-4687	208	5	(	(	PUNCT
asir-4687	208	6	1938	1938	NUM
asir-4687	208	7	)	)	PUNCT
asir-4687	208	8	.	.	PUNCT
asir-4687	209	1	theoretical	theoretical	ADJ
asir-4687	209	2	investigations	investigation	NOUN
asir-4687	209	3	into	into	ADP
asir-4687	209	4	transmitting	transmit	VERB
asir-4687	209	5	and	and	CCONJ
asir-4687	209	6	receiving	receive	VERB
asir-4687	209	7	antennae	antennae	NOUN
asir-4687	209	8	.	.	PUNCT
asir-4687	210	1	nova	nova	PROPN
asir-4687	210	2	acta	acta	PROPN
asir-4687	210	3	regiae	regiae	PROPN
asir-4687	210	4	sco	sco	PROPN
asir-4687	210	5	.	.	PUNCT
asir-4687	211	1	sci	sci	PROPN
asir-4687	211	2	.	.	PUNCT
asir-4687	211	3	upsaliensis	upsaliensis	PROPN
asir-4687	211	4	,	,	PUNCT
asir-4687	211	5	ser	ser	NOUN
asir-4687	211	6	.	.	PROPN
asir-4687	211	7	4	4	NUM
asir-4687	211	8	,	,	PUNCT
asir-4687	211	9	2	2	NUM
asir-4687	211	10	,	,	PUNCT
asir-4687	211	11	1	1	NUM
asir-4687	211	12	.	.	PUNCT
asir-4687	211	13	halpern	halpern	PROPN
asir-4687	211	14	,	,	PUNCT
asir-4687	211	15	b.	b.	PROPN
asir-4687	211	16	,	,	PUNCT
asir-4687	211	17	&	&	CCONJ
asir-4687	211	18	mittra	mittra	PROPN
asir-4687	211	19	,	,	PUNCT
asir-4687	211	20	r.	r.	PROPN
asir-4687	211	21	(	(	PUNCT
asir-4687	211	22	1985	1985	NUM
asir-4687	211	23	)	)	PUNCT
asir-4687	211	24	.	.	PUNCT
asir-4687	212	1	broadband	broadband	NOUN
asir-4687	212	2	whip	whip	NOUN
asir-4687	212	3	antenna	antenna	NOUN
asir-4687	212	4	for	for	ADP
asir-4687	212	5	use	use	NOUN
asir-4687	212	6	in	in	ADP
asir-4687	212	7	hf	hf	ADJ
asir-4687	212	8	communication	communication	NOUN
asir-4687	212	9	.	.	PUNCT
asir-4687	213	1	proc	proc	NOUN
asir-4687	213	2	.	.	PUNCT
asir-4687	214	1	ieee	ieee	NOUN
asir-4687	214	2	symposium	symposium	NOUN
asir-4687	214	3	antennas	antennas	PROPN
asir-4687	214	4	propagation	propagation	NOUN
asir-4687	214	5	(	(	PUNCT
asir-4687	214	6	canada	canada	PROPN
asir-4687	214	7	)	)	PUNCT
asir-4687	214	8	,	,	PUNCT
asir-4687	214	9	pp	pp	ADP
asir-4687	214	10	.	.	PUNCT
asir-4687	215	1	763	763	NUM
asir-4687	215	2	-	-	SYM
asir-4687	215	3	767	767	NUM
asir-4687	215	4	.	.	PUNCT
asir-4687	216	1	https://doi.org/10.1109/aps.1985.1149391	https://doi.org/10.1109/aps.1985.1149391	PROPN
asir-4687	216	2	himmelblau	himmelblau	PROPN
asir-4687	216	3	,	,	PUNCT
asir-4687	216	4	d.	d.	PROPN
asir-4687	216	5	(	(	PUNCT
asir-4687	216	6	1972	1972	NUM
asir-4687	216	7	)	)	PUNCT
asir-4687	216	8	.	.	PUNCT
asir-4687	217	1	applied	apply	VERB
asir-4687	217	2	nonlinear	nonlinear	ADJ
asir-4687	217	3	programming	programming	NOUN
asir-4687	217	4	.	.	PUNCT
asir-4687	218	1	new	new	PROPN
asir-4687	218	2	york	york	PROPN
asir-4687	218	3	:	:	PUNCT
asir-4687	218	4	mcgraw	mcgraw	PROPN
asir-4687	218	5	-	-	PUNCT
asir-4687	218	6	hill	hill	PROPN
asir-4687	218	7	.	.	PUNCT
asir-4687	219	1	king	king	PROPN
asir-4687	219	2	,	,	PUNCT
asir-4687	219	3	r.	r.	PROPN
asir-4687	219	4	w.	w.	PROPN
asir-4687	219	5	p.	p.	PROPN
asir-4687	219	6	(	(	PUNCT
asir-4687	219	7	1956	1956	NUM
asir-4687	219	8	)	)	PUNCT
asir-4687	219	9	.	.	PUNCT
asir-4687	220	1	theory	theory	NOUN
asir-4687	220	2	of	of	ADP
asir-4687	220	3	linear	linear	PROPN
asir-4687	220	4	antennas	antennas	PROPN
asir-4687	220	5	.	.	PUNCT
asir-4687	221	1	cambridge	cambridge	PROPN
asir-4687	221	2	,	,	PUNCT
asir-4687	221	3	mass	mass	PROPN
asir-4687	221	4	.	.	PUNCT
asir-4687	221	5	:	:	PUNCT
asir-4687	222	1	harvard	harvard	PROPN
asir-4687	222	2	university	university	PROPN
asir-4687	222	3	press	press	NOUN
asir-4687	222	4	.	.	PUNCT
asir-4687	223	1	kontorovich	kontorovich	NOUN
asir-4687	223	2	,	,	PUNCT
asir-4687	223	3	m.	m.	NOUN
asir-4687	223	4	i.	i.	PROPN
asir-4687	223	5	(	(	PUNCT
asir-4687	223	6	1951	1951	NUM
asir-4687	223	7	)	)	PUNCT
asir-4687	223	8	.	.	PUNCT
asir-4687	224	1	some	some	DET
asir-4687	224	2	remarks	remark	NOUN
asir-4687	224	3	in	in	ADP
asir-4687	224	4	connection	connection	NOUN
asir-4687	224	5	with	with	ADP
asir-4687	224	6	the	the	DET
asir-4687	224	7	induced	induce	VERB
asir-4687	224	8	emf	emf	NOUN
asir-4687	224	9	method	method	NOUN
asir-4687	224	10	.	.	PUNCT
asir-4687	225	1	radiotechnics	radiotechnic	NOUN
asir-4687	225	2	,	,	PUNCT
asir-4687	225	3	2	2	NUM
asir-4687	225	4	,	,	PUNCT
asir-4687	225	5	3	3	NUM
asir-4687	225	6	-	-	SYM
asir-4687	225	7	9	9	NUM
asir-4687	225	8	.	.	PUNCT
asir-4687	226	1	(	(	PUNCT
asir-4687	226	2	in	in	ADP
asir-4687	226	3	russian	russian	NOUN
asir-4687	226	4	)	)	PUNCT
asir-4687	226	5	.	.	PUNCT
asir-4687	227	1	leontovich	leontovich	NOUN
asir-4687	227	2	,	,	PUNCT
asir-4687	227	3	m.	m.	NOUN
asir-4687	227	4	a.	a.	PROPN
asir-4687	227	5	,	,	PUNCT
asir-4687	227	6	&	&	CCONJ
asir-4687	227	7	levin	levin	PROPN
asir-4687	227	8	,	,	PUNCT
asir-4687	227	9	m.	m.	PROPN
asir-4687	227	10	l.	l.	PROPN
asir-4687	227	11	(	(	PUNCT
asir-4687	227	12	1944	1944	NUM
asir-4687	227	13	)	)	PUNCT
asir-4687	227	14	.	.	PUNCT
asir-4687	228	1	on	on	ADP
asir-4687	228	2	the	the	DET
asir-4687	228	3	theory	theory	NOUN
asir-4687	228	4	of	of	ADP
asir-4687	228	5	oscillations	oscillation	NOUN
asir-4687	228	6	excitations	excitation	NOUN
asir-4687	228	7	in	in	ADP
asir-4687	228	8	the	the	DET
asir-4687	228	9	linear	linear	PROPN
asir-4687	228	10	radiators	radiator	NOUN
asir-4687	228	11	.	.	PUNCT
asir-4687	229	1	journal	journal	NOUN
asir-4687	229	2	of	of	ADP
asir-4687	229	3	technical	technical	ADJ
asir-4687	229	4	physics	physics	NOUN
asir-4687	229	5	,	,	PUNCT
asir-4687	229	6	14(9	14(9	NUM
asir-4687	229	7	)	)	PUNCT
asir-4687	229	8	,	,	PUNCT
asir-4687	229	9	481	481	NUM
asir-4687	229	10	-	-	SYM
asir-4687	229	11	506	506	NUM
asir-4687	229	12	.	.	PUNCT
asir-4687	230	1	(	(	PUNCT
asir-4687	230	2	in	in	ADP
asir-4687	230	3	russian	russian	NOUN
asir-4687	230	4	)	)	PUNCT
asir-4687	230	5	.	.	PUNCT
asir-4687	231	1	levin	levin	PROPN
asir-4687	231	2	,	,	PUNCT
asir-4687	231	3	b.	b.	PROPN
asir-4687	231	4	m.	m.	PROPN
asir-4687	231	5	(	(	PUNCT
asir-4687	231	6	1992	1992	NUM
asir-4687	231	7	)	)	PUNCT
asir-4687	231	8	.	.	PUNCT
asir-4687	232	1	once	once	ADV
asir-4687	232	2	again	again	ADV
asir-4687	232	3	about	about	ADP
asir-4687	232	4	induced	induced	ADJ
asir-4687	232	5	emf	emf	NOUN
asir-4687	232	6	method	method	NOUN
asir-4687	232	7	.	.	PUNCT
asir-4687	233	1	radio	radio	NOUN
asir-4687	233	2	electronics	electronic	NOUN
asir-4687	233	3	and	and	CCONJ
asir-4687	233	4	communications	communication	NOUN
asir-4687	233	5	,	,	PUNCT
asir-4687	233	6	2	2	NUM
asir-4687	233	7	-	-	SYM
asir-4687	233	8	3	3	NUM
asir-4687	233	9	,	,	PUNCT
asir-4687	233	10	17	17	NUM
asir-4687	233	11	-	-	SYM
asir-4687	233	12	33	33	NUM
asir-4687	233	13	.	.	PUNCT
asir-4687	234	1	(	(	PUNCT
asir-4687	234	2	in	in	ADP
asir-4687	234	3	russian	russian	NOUN
asir-4687	234	4	)	)	PUNCT
asir-4687	234	5	.	.	PUNCT
asir-4687	235	1	levin	levin	PROPN
asir-4687	235	2	,	,	PUNCT
asir-4687	235	3	b.	b.	PROPN
asir-4687	235	4	m.	m.	PROPN
asir-4687	235	5	(	(	PUNCT
asir-4687	235	6	1998	1998	NUM
asir-4687	235	7	)	)	PUNCT
asir-4687	235	8	.	.	PUNCT
asir-4687	236	1	monopole	monopole	NOUN
asir-4687	236	2	and	and	CCONJ
asir-4687	236	3	dipole	dipole	NOUN
asir-4687	236	4	antennas	antenna	NOUN
asir-4687	236	5	for	for	ADP
asir-4687	236	6	ship	ship	NOUN
asir-4687	236	7	radio	radio	NOUN
asir-4687	236	8	communications	communication	NOUN
asir-4687	236	9	.	.	PUNCT
asir-4687	237	1	st.-petersburg	st.-petersburg	NOUN
asir-4687	237	2	:	:	PUNCT
asir-4687	237	3	abris	abris	PROPN
asir-4687	237	4	.	.	PUNCT
asir-4687	238	1	(	(	PUNCT
asir-4687	238	2	in	in	ADP
asir-4687	238	3	russian	russian	NOUN
asir-4687	238	4	)	)	PUNCT
asir-4687	238	5	.	.	PUNCT
asir-4687	239	1	levin	levin	PROPN
asir-4687	239	2	,	,	PUNCT
asir-4687	239	3	b.	b.	PROPN
asir-4687	239	4	m.	m.	PROPN
asir-4687	239	5	(	(	PUNCT
asir-4687	239	6	2019	2019	NUM
asir-4687	239	7	)	)	PUNCT
asir-4687	239	8	.	.	PUNCT
asir-4687	240	1	wide	wide	ADJ
asir-4687	240	2	-	-	PUNCT
asir-4687	240	3	range	range	NOUN
asir-4687	240	4	and	and	CCONJ
asir-4687	240	5	multi	multi	ADJ
asir-4687	240	6	-	-	ADJ
asir-4687	240	7	frequency	frequency	ADJ
asir-4687	240	8	antennas	antenna	NOUN
asir-4687	240	9	.	.	PUNCT
asir-4687	241	1	london	london	PROPN
asir-4687	241	2	,	,	PUNCT
asir-4687	241	3	new	new	PROPN
asir-4687	241	4	york	york	PROPN
asir-4687	241	5	:	:	PUNCT
asir-4687	241	6	crc	crc	PROPN
asir-4687	241	7	press	press	PROPN
asir-4687	241	8	.	.	PUNCT
asir-4687	242	1	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	PROPN
asir-4687	242	2	applied	apply	VERB
asir-4687	242	3	science	science	NOUN
asir-4687	242	4	and	and	CCONJ
asir-4687	242	5	innovative	innovative	ADJ
asir-4687	242	6	research	research	NOUN
asir-4687	242	7	vol	vol	NOUN
asir-4687	242	8	.	.	PROPN
asir-4687	243	1	6	6	NUM
asir-4687	243	2	,	,	PUNCT
asir-4687	243	3	no	no	INTJ
asir-4687	243	4	.	.	NOUN
asir-4687	243	5	2	2	NUM
asir-4687	243	6	,	,	PUNCT
asir-4687	243	7	2022	2022	NUM
asir-4687	243	8	54	54	NUM
asir-4687	243	9	published	publish	VERB
asir-4687	243	10	by	by	ADP
asir-4687	243	11	scholink	scholink	PROPN
asir-4687	243	12	inc	inc	PROPN
asir-4687	243	13	.	.	PROPN
asir-4687	243	14	levin	levin	PROPN
asir-4687	243	15	,	,	PUNCT
asir-4687	243	16	b.	b.	PROPN
asir-4687	243	17	m.	m.	PROPN
asir-4687	243	18	(	(	PUNCT
asir-4687	243	19	2021	2021	NUM
asir-4687	243	20	)	)	PUNCT
asir-4687	243	21	.	.	PUNCT
asir-4687	244	1	antennas	antenna	NOUN
asir-4687	244	2	:	:	PUNCT
asir-4687	244	3	rigorous	rigorous	ADJ
asir-4687	244	4	methods	method	NOUN
asir-4687	244	5	of	of	ADP
asir-4687	244	6	analysis	analysis	NOUN
asir-4687	244	7	and	and	CCONJ
asir-4687	244	8	synthesis	synthesis	NOUN
asir-4687	244	9	.	.	PUNCT
asir-4687	245	1	london	london	PROPN
asir-4687	245	2	,	,	PUNCT
asir-4687	245	3	new	new	PROPN
asir-4687	245	4	york	york	PROPN
asir-4687	245	5	:	:	PUNCT
asir-4687	245	6	crc	crc	PROPN
asir-4687	245	7	press	press	PROPN
asir-4687	245	8	.	.	PUNCT
asir-4687	246	1	levin	levin	PROPN
asir-4687	246	2	,	,	PUNCT
asir-4687	246	3	b.	b.	PROPN
asir-4687	246	4	m.	m.	PROPN
asir-4687	246	5	,	,	PUNCT
asir-4687	246	6	&	&	CCONJ
asir-4687	246	7	markov	markov	PROPN
asir-4687	246	8	,	,	PUNCT
asir-4687	246	9	v.	v.	PROPN
asir-4687	246	10	g.	g.	PROPN
asir-4687	246	11	(	(	PUNCT
asir-4687	246	12	1997	1997	NUM
asir-4687	246	13	)	)	PUNCT
asir-4687	246	14	.	.	PUNCT
asir-4687	247	1	method	method	NOUN
asir-4687	247	2	of	of	ADP
asir-4687	247	3	complex	complex	ADJ
asir-4687	247	4	potential	potential	NOUN
asir-4687	247	5	and	and	CCONJ
asir-4687	247	6	antennas	antenna	NOUN
asir-4687	247	7	.	.	PUNCT
asir-4687	248	1	st.-petersburg	st.-petersburg	NOUN
asir-4687	248	2	:	:	PUNCT
asir-4687	248	3	ship	ship	NOUN
asir-4687	248	4	electrical	electrical	ADJ
asir-4687	248	5	engineering	engineering	NOUN
asir-4687	248	6	and	and	CCONJ
asir-4687	248	7	communication	communication	NOUN
asir-4687	248	8	.	.	PUNCT
asir-4687	249	1	(	(	PUNCT
asir-4687	249	2	in	in	ADP
asir-4687	249	3	russian	russian	NOUN
asir-4687	249	4	)	)	PUNCT
asir-4687	249	5	.	.	PUNCT
asir-4687	250	1	levin	levin	PROPN
asir-4687	250	2	,	,	PUNCT
asir-4687	250	3	b.	b.	PROPN
asir-4687	250	4	m.	m.	PROPN
asir-4687	250	5	,	,	PUNCT
asir-4687	250	6	&	&	CCONJ
asir-4687	250	7	yakovlev	yakovlev	PROPN
asir-4687	250	8	,	,	PUNCT
asir-4687	250	9	a.	a.	PROPN
asir-4687	250	10	f.	f.	PROPN
asir-4687	250	11	(	(	PUNCT
asir-4687	250	12	1992	1992	NUM
asir-4687	250	13	)	)	PUNCT
asir-4687	250	14	.	.	PUNCT
asir-4687	251	1	about	about	ADV
asir-4687	251	2	one	one	NUM
asir-4687	251	3	method	method	NOUN
asir-4687	251	4	of	of	ADP
asir-4687	251	5	widening	widen	VERB
asir-4687	251	6	an	an	DET
asir-4687	251	7	antenna	antenna	NOUN
asir-4687	251	8	operation	operation	NOUN
asir-4687	251	9	range	range	NOUN
asir-4687	251	10	.	.	PUNCT
asir-4687	252	1	radiotechnics	radiotechnic	NOUN
asir-4687	252	2	and	and	CCONJ
asir-4687	252	3	electronics	electronic	NOUN
asir-4687	252	4	engineering	engineering	NOUN
asir-4687	252	5	,	,	PUNCT
asir-4687	252	6	37(1	37(1	NUM
asir-4687	252	7	)	)	PUNCT
asir-4687	252	8	,	,	PUNCT
asir-4687	252	9	55	55	NUM
asir-4687	252	10	-	-	SYM
asir-4687	252	11	64	64	NUM
asir-4687	252	12	.	.	PUNCT
asir-4687	253	1	(	(	PUNCT
asir-4687	253	2	in	in	ADP
asir-4687	253	3	russian	russian	NOUN
asir-4687	253	4	)	)	PUNCT
asir-4687	253	5	.	.	PUNCT
asir-4687	254	1	miller	miller	PROPN
asir-4687	254	2	,	,	PUNCT
asir-4687	254	3	m.	m.	NOUN
asir-4687	254	4	a.	a.	PROPN
asir-4687	254	5	(	(	PUNCT
asir-4687	254	6	1954	1954	NUM
asir-4687	254	7	)	)	PUNCT
asir-4687	254	8	.	.	PUNCT
asir-4687	255	1	application	application	NOUN
asir-4687	255	2	of	of	ADP
asir-4687	255	3	uniform	uniform	ADJ
asir-4687	255	4	boundary	boundary	ADJ
asir-4687	255	5	conditions	condition	NOUN
asir-4687	255	6	to	to	ADP
asir-4687	255	7	the	the	DET
asir-4687	255	8	theory	theory	NOUN
asir-4687	255	9	of	of	ADP
asir-4687	255	10	thin	thin	PROPN
asir-4687	255	11	antennas	antenna	NOUN
asir-4687	255	12	.	.	PUNCT
asir-4687	256	1	journal	journal	PROPN
asir-4687	256	2	of	of	ADP
asir-4687	256	3	technical	technical	ADJ
asir-4687	256	4	physics	physic	NOUN
asir-4687	256	5	,	,	PUNCT
asir-4687	256	6	54(8	54(8	NUM
asir-4687	256	7	)	)	PUNCT
asir-4687	256	8	,	,	PUNCT
asir-4687	256	9	1483	1483	NUM
asir-4687	256	10	-	-	SYM
asir-4687	256	11	1495	1495	NUM
asir-4687	256	12	.	.	PUNCT
asir-4687	257	1	(	(	PUNCT
asir-4687	257	2	in	in	ADP
asir-4687	257	3	russian	russian	NOUN
asir-4687	257	4	)	)	PUNCT
asir-4687	257	5	.	.	PUNCT
asir-4687	258	1	mushiake	mushiake	NOUN
asir-4687	258	2	,	,	PUNCT
asir-4687	258	3	y.	y.	PROPN
asir-4687	258	4	(	(	PUNCT
asir-4687	258	5	1996	1996	NUM
asir-4687	258	6	)	)	PUNCT
asir-4687	258	7	.	.	PUNCT
asir-4687	259	1	self	self	NOUN
asir-4687	259	2	-	-	PUNCT
asir-4687	259	3	complementary	complementary	ADJ
asir-4687	259	4	antennas	antenna	NOUN
asir-4687	259	5	:	:	PUNCT
asir-4687	259	6	principle	principle	NOUN
asir-4687	259	7	of	of	ADP
asir-4687	259	8	self	self	NOUN
asir-4687	259	9	-	-	PUNCT
asir-4687	259	10	complementarity	complementarity	NOUN
asir-4687	259	11	for	for	ADP
asir-4687	259	12	constant	constant	ADJ
asir-4687	259	13	impedance	impedance	NOUN
asir-4687	259	14	.	.	PUNCT
asir-4687	260	1	london	london	PROPN
asir-4687	260	2	:	:	PUNCT
asir-4687	260	3	springer	springer	NOUN
asir-4687	260	4	.	.	PUNCT
asir-4687	261	1	perini	perini	PROPN
asir-4687	261	2	,	,	PUNCT
asir-4687	261	3	j.	j.	PROPN
asir-4687	261	4	,	,	PUNCT
asir-4687	261	5	&	&	CCONJ
asir-4687	261	6	buchanan	buchanan	PROPN
asir-4687	261	7	,	,	PUNCT
asir-4687	261	8	d.	d.	PROPN
asir-4687	261	9	j.	j.	PROPN
asir-4687	261	10	(	(	PUNCT
asir-4687	261	11	1982	1982	NUM
asir-4687	261	12	)	)	PUNCT
asir-4687	261	13	.	.	PUNCT
asir-4687	262	1	assessment	assessment	NOUN
asir-4687	262	2	of	of	ADP
asir-4687	262	3	mom	mom	NOUN
asir-4687	262	4	techniques	technique	NOUN
asir-4687	262	5	for	for	ADP
asir-4687	262	6	shipboard	shipboard	ADJ
asir-4687	262	7	applications	application	NOUN
asir-4687	262	8	.	.	PUNCT
asir-4687	263	1	ieee	ieee	PROPN
asir-4687	263	2	trans	trans	PROPN
asir-4687	263	3	.	.	PUNCT
asir-4687	264	1	electromagn	electromagn	PROPN
asir-4687	264	2	.	.	PUNCT
asir-4687	265	1	compatibility	compatibility	NOUN
asir-4687	265	2	,	,	PUNCT
asir-4687	265	3	24(1	24(1	NUM
asir-4687	265	4	)	)	PUNCT
asir-4687	265	5	,	,	PUNCT
asir-4687	265	6	32	32	NUM
asir-4687	265	7	-	-	SYM
asir-4687	265	8	39	39	NUM
asir-4687	265	9	.	.	PUNCT
asir-4687	266	1	https://doi.org/10.1109/temc.1982.303999	https://doi.org/10.1109/temc.1982.303999	PROPN
asir-4687	266	2	pheld	pheld	NOUN
asir-4687	266	3	,	,	PUNCT
asir-4687	266	4	y.	y.	PROPN
asir-4687	266	5	n.	n.	PROPN
asir-4687	266	6	(	(	PUNCT
asir-4687	266	7	1948	1948	NUM
asir-4687	266	8	)	)	PUNCT
asir-4687	266	9	.	.	PUNCT
asir-4687	267	1	fundamentals	fundamental	NOUN
asir-4687	267	2	of	of	ADP
asir-4687	267	3	the	the	DET
asir-4687	267	4	theory	theory	NOUN
asir-4687	267	5	of	of	ADP
asir-4687	267	6	slot	slot	NOUN
asir-4687	267	7	antenna	antenna	NOUN
asir-4687	267	8	.	.	PUNCT
asir-4687	268	1	moscow	moscow	PROPN
asir-4687	268	2	:	:	PUNCT
asir-4687	268	3	sovetskoye	sovetskoye	NOUN
asir-4687	268	4	radio	radio	NOUN
asir-4687	268	5	.	.	PUNCT
asir-4687	269	1	(	(	PUNCT
asir-4687	269	2	in	in	ADP
asir-4687	269	3	russian	russian	NOUN
asir-4687	269	4	)	)	PUNCT
asir-4687	269	5	.	.	PUNCT
asir-4687	270	1	rao	rao	PROPN
asir-4687	270	2	,	,	PUNCT
asir-4687	270	3	b.	b.	PROPN
asir-4687	270	4	l.	l.	PROPN
asir-4687	270	5	j.	j.	PROPN
asir-4687	270	6	,	,	PUNCT
asir-4687	270	7	ferris	ferris	PROPN
asir-4687	270	8	,	,	PUNCT
asir-4687	270	9	j.	j.	PROPN
asir-4687	270	10	e.	e.	PROPN
asir-4687	270	11	,	,	PUNCT
asir-4687	270	12	&	&	CCONJ
asir-4687	270	13	zimmerman	zimmerman	PROPN
asir-4687	270	14	,	,	PUNCT
asir-4687	270	15	w.	w.	PROPN
asir-4687	270	16	e.	e.	PROPN
asir-4687	270	17	(	(	PUNCT
asir-4687	270	18	1969	1969	NUM
asir-4687	270	19	)	)	PUNCT
asir-4687	270	20	.	.	PUNCT
asir-4687	271	1	broadband	broadband	NOUN
asir-4687	271	2	characteristics	characteristic	NOUN
asir-4687	271	3	of	of	ADP
asir-4687	271	4	cylindrical	cylindrical	ADJ
asir-4687	271	5	antennas	antenna	NOUN
asir-4687	271	6	with	with	ADP
asir-4687	271	7	exponentially	exponentially	ADV
asir-4687	271	8	tapered	tapered	ADJ
asir-4687	271	9	capacitive	capacitive	ADJ
asir-4687	271	10	loading	loading	NOUN
asir-4687	271	11	.	.	PUNCT
asir-4687	272	1	ieee	ieee	PROPN
asir-4687	272	2	trans	trans	PROPN
asir-4687	272	3	.	.	PUNCT
asir-4687	273	1	antennas	antennas	PROPN
asir-4687	273	2	propagation	propagation	PROPN
asir-4687	273	3	,	,	PUNCT
asir-4687	273	4	ap-17(2	ap-17(2	NOUN
asir-4687	273	5	)	)	PUNCT
asir-4687	273	6	,	,	PUNCT
asir-4687	273	7	145	145	NUM
asir-4687	273	8	-	-	SYM
asir-4687	273	9	151	151	NUM
asir-4687	273	10	.	.	PUNCT
asir-4687	274	1	https://doi.org/10.1109/tap.1969.1139408	https://doi.org/10.1109/tap.1969.1139408	PROPN
asir-4687	274	2	richmond	richmond	PROPN
asir-4687	274	3	,	,	PUNCT
asir-4687	274	4	j.	j.	PROPN
asir-4687	274	5	h.	h.	PROPN
asir-4687	274	6	(	(	PUNCT
asir-4687	274	7	1966	1966	NUM
asir-4687	274	8	)	)	PUNCT
asir-4687	274	9	.	.	PUNCT
asir-4687	275	1	a	a	DET
asir-4687	275	2	wire	wire	NOUN
asir-4687	275	3	-	-	PUNCT
asir-4687	275	4	grid	grid	NOUN
asir-4687	275	5	model	model	NOUN
asir-4687	275	6	for	for	ADP
asir-4687	275	7	scattering	scatter	VERB
asir-4687	275	8	by	by	ADP
asir-4687	275	9	conducting	conduct	VERB
asir-4687	275	10	bodies	body	NOUN
asir-4687	275	11	.	.	PUNCT
asir-4687	276	1	ieee	ieee	PROPN
asir-4687	276	2	trans	trans	PROPN
asir-4687	276	3	.	.	PUNCT
asir-4687	277	1	antennas	antennas	PROPN
asir-4687	277	2	propagation	propagation	NOUN
asir-4687	277	3	,	,	PUNCT
asir-4687	277	4	ap-14(6	ap-14(6	NOUN
asir-4687	277	5	)	)	PUNCT
asir-4687	277	6	,	,	PUNCT
asir-4687	277	7	782	782	NUM
asir-4687	277	8	-	-	SYM
asir-4687	277	9	786	786	NUM
asir-4687	277	10	.	.	PUNCT
asir-4687	278	1	https://doi.org/10.1109/tap.1966.1138783	https://doi.org/10.1109/tap.1966.1138783	PROPN
asir-4687	278	2	stratton	stratton	PROPN
asir-4687	278	3	,	,	PUNCT
asir-4687	278	4	j.	j.	PROPN
asir-4687	278	5	a.	a.	PROPN
asir-4687	278	6	(	(	PUNCT
asir-4687	278	7	1941	1941	NUM
asir-4687	278	8	)	)	PUNCT
asir-4687	278	9	.	.	PUNCT
asir-4687	279	1	electromagnetic	electromagnetic	ADJ
asir-4687	279	2	theory	theory	NOUN
asir-4687	279	3	.	.	PUNCT
asir-4687	280	1	new	new	PROPN
asir-4687	280	2	york	york	PROPN
asir-4687	280	3	:	:	PUNCT
asir-4687	280	4	mcgraw	mcgraw	PROPN
asir-4687	280	5	-	-	PUNCT
asir-4687	280	6	hill	hill	PROPN
asir-4687	280	7	.	.	PUNCT
asir-4687	281	1	vainshtein	vainshtein	PROPN
asir-4687	281	2	,	,	PUNCT
asir-4687	281	3	l.	l.	PROPN
asir-4687	281	4	a.	a.	PROPN
asir-4687	281	5	(	(	PUNCT
asir-4687	281	6	1957	1957	NUM
asir-4687	281	7	)	)	PUNCT
asir-4687	281	8	.	.	PUNCT
asir-4687	282	1	electromagnetic	electromagnetic	ADJ
asir-4687	282	2	waves	wave	NOUN
asir-4687	282	3	.	.	PUNCT
asir-4687	283	1	moscow	moscow	PROPN
asir-4687	283	2	:	:	PUNCT
asir-4687	283	3	sovetskoye	sovetskoye	NOUN
asir-4687	283	4	radio	radio	NOUN
asir-4687	283	5	.	.	PUNCT
asir-4687	284	1	(	(	PUNCT
asir-4687	284	2	in	in	ADP
asir-4687	284	3	russian	russian	NOUN
asir-4687	284	4	)	)	PUNCT
asir-4687	284	5	.	.	PUNCT
asir-4687	285	1	vainshtein	vainshtein	PROPN
asir-4687	285	2	,	,	PUNCT
asir-4687	285	3	l.	l.	PROPN
asir-4687	285	4	a.	a.	PROPN
asir-4687	285	5	(	(	PUNCT
asir-4687	285	6	1959	1959	NUM
asir-4687	285	7	)	)	PUNCT
asir-4687	285	8	.	.	PUNCT
asir-4687	286	1	waves	wave	NOUN
asir-4687	286	2	of	of	ADP
asir-4687	286	3	current	current	NOUN
asir-4687	286	4	in	in	ADP
asir-4687	286	5	a	a	DET
asir-4687	286	6	thin	thin	ADJ
asir-4687	286	7	cylindrical	cylindrical	ADJ
asir-4687	286	8	conductor	conductor	NOUN
asir-4687	286	9	.	.	PUNCT
asir-4687	287	1	journal	journal	PROPN
asir-4687	287	2	of	of	ADP
asir-4687	287	3	technical	technical	ADJ
asir-4687	287	4	physics	physics	PROPN
asir-4687	287	5	,	,	PUNCT
asir-4687	287	6	29(1	29(1	NUM
asir-4687	287	7	)	)	PUNCT
asir-4687	287	8	,	,	PUNCT
asir-4687	287	9	673	673	NUM
asir-4687	287	10	-	-	SYM
asir-4687	287	11	688	688	NUM
asir-4687	287	12	,	,	PUNCT
asir-4687	287	13	6	6	NUM
asir-4687	287	14	,	,	PUNCT
asir-4687	287	15	689	689	NUM
asir-4687	287	16	-	-	SYM
asir-4687	287	17	699	699	NUM
asir-4687	287	18	.	.	PUNCT
asir-4687	288	1	(	(	PUNCT
asir-4687	288	2	in	in	ADP
asir-4687	288	3	russian	russian	NOUN
asir-4687	288	4	)	)	PUNCT
asir-4687	288	5	.	.	PUNCT
asir-4687	289	1	yakovlev	yakovlev	PROPN
asir-4687	289	2	,	,	PUNCT
asir-4687	289	3	a.	a.	PROPN
asir-4687	289	4	f.	f.	PROPN
asir-4687	289	5	,	,	PUNCT
asir-4687	289	6	&	&	CCONJ
asir-4687	289	7	pyatnenkov	pyatnenkov	PROPN
asir-4687	289	8	,	,	PUNCT
asir-4687	289	9	a.	a.	PROPN
asir-4687	289	10	e.	e.	PROPN
asir-4687	289	11	(	(	PUNCT
asir-4687	289	12	2007	2007	NUM
asir-4687	289	13	)	)	PUNCT
asir-4687	289	14	.	.	PUNCT
asir-4687	290	1	wide	wide	ADJ
asir-4687	290	2	-	-	PUNCT
asir-4687	290	3	band	band	NOUN
asir-4687	290	4	directional	directional	ADJ
asir-4687	290	5	antennas	antenna	NOUN
asir-4687	290	6	arrays	array	VERB
asir-4687	290	7	from	from	ADP
asir-4687	290	8	dipoles	dipole	NOUN
asir-4687	290	9	.	.	PUNCT
asir-4687	291	1	st.-petersburg	st.-petersburg	NOUN
asir-4687	291	2	.	.	PUNCT
asir-4687	292	1	(	(	PUNCT
asir-4687	292	2	in	in	ADP
asir-4687	292	3	russian	russian	NOUN
asir-4687	292	4	)	)	PUNCT
asir-4687	292	5	.	.	PUNCT