id	sid	tid	token	lemma	pos
asir-56700	1	1	applied	apply	VERB
asir-56700	1	2	science	science	NOUN
asir-56700	1	3	and	and	CCONJ
asir-56700	1	4	innovative	innovative	ADJ
asir-56700	1	5	research	research	NOUN
asir-56700	1	6	issn	issn	VERB
asir-56700	1	7	2474	2474	NUM
asir-56700	1	8	-	-	SYM
asir-56700	1	9	4972	4972	NUM
asir-56700	1	10	(	(	PUNCT
asir-56700	1	11	print	print	NOUN
asir-56700	1	12	)	)	PUNCT
asir-56700	1	13	issn	issn	VERB
asir-56700	1	14	2474	2474	NUM
asir-56700	1	15	-	-	SYM
asir-56700	1	16	4980	4980	NUM
asir-56700	1	17	(	(	PUNCT
asir-56700	1	18	online	online	ADJ
asir-56700	1	19	)	)	PUNCT
asir-56700	1	20	vol	vol	NOUN
asir-56700	1	21	.	.	NOUN
asir-56700	2	1	9	9	NUM
asir-56700	2	2	,	,	PUNCT
asir-56700	2	3	no	no	INTJ
asir-56700	2	4	.	.	NOUN
asir-56700	2	5	4	4	NUM
asir-56700	2	6	,	,	PUNCT
asir-56700	2	7	2025	2025	NUM
asir-56700	2	8	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	VERB
asir-56700	2	9	47	47	NUM
asir-56700	2	10	original	original	ADJ
asir-56700	2	11	paper	paper	NOUN
asir-56700	2	12	about	about	ADP
asir-56700	2	13	integral	integral	ADJ
asir-56700	2	14	equation	equation	NOUN
asir-56700	2	15	for	for	ADP
asir-56700	2	16	the	the	DET
asir-56700	2	17	symmetrical	symmetrical	ADJ
asir-56700	2	18	loop	loop	NOUN
asir-56700	2	19	antenna	antenna	PROPN
asir-56700	2	20	boris	boris	PROPN
asir-56700	2	21	levin	levin	PROPN
asir-56700	2	22	israel	israel	PROPN
asir-56700	2	23	,	,	PUNCT
asir-56700	2	24	lod	lod	PROPN
asir-56700	2	25	abstract	abstract	NOUN
asir-56700	2	26	the	the	DET
asir-56700	2	27	derivation	derivation	NOUN
asir-56700	2	28	and	and	CCONJ
asir-56700	2	29	solution	solution	NOUN
asir-56700	2	30	’s	’s	PART
asir-56700	2	31	problems	problem	NOUN
asir-56700	2	32	of	of	ADP
asir-56700	2	33	integra	integra	NOUN
asir-56700	2	34	-	-	PUNCT
asir-56700	2	35	differential	differential	NOUN
asir-56700	2	36	equations	equation	NOUN
asir-56700	2	37	for	for	ADP
asir-56700	2	38	the	the	DET
asir-56700	2	39	currents	current	NOUN
asir-56700	2	40	in	in	ADP
asir-56700	2	41	symmetrical	symmetrical	ADJ
asir-56700	2	42	loop	loop	NOUN
asir-56700	2	43	antennas	antenna	NOUN
asir-56700	2	44	of	of	ADP
asir-56700	2	45	rectangular	rectangular	ADJ
asir-56700	2	46	,	,	PUNCT
asir-56700	2	47	circular	circular	ADJ
asir-56700	2	48	and	and	CCONJ
asir-56700	2	49	other	other	ADJ
asir-56700	2	50	short	short	ADV
asir-56700	2	51	-	-	PUNCT
asir-56700	2	52	circuited	circuit	VERB
asir-56700	2	53	forms	form	NOUN
asir-56700	2	54	with	with	ADP
asir-56700	2	55	large	large	ADJ
asir-56700	2	56	length	length	NOUN
asir-56700	2	57	are	be	AUX
asir-56700	2	58	considered	consider	VERB
asir-56700	2	59	.	.	PUNCT
asir-56700	3	1	the	the	DET
asir-56700	3	2	results	result	NOUN
asir-56700	3	3	are	be	AUX
asir-56700	3	4	compared	compare	VERB
asir-56700	3	5	with	with	ADP
asir-56700	3	6	the	the	DET
asir-56700	3	7	properties	property	NOUN
asir-56700	3	8	of	of	ADP
asir-56700	3	9	small	small	ADJ
asir-56700	3	10	antennas	antenna	NOUN
asir-56700	3	11	.	.	PUNCT
asir-56700	4	1	keywords	keyword	NOUN
asir-56700	4	2	antenna	antenna	NOUN
asir-56700	4	3	theory	theory	NOUN
asir-56700	4	4	,	,	PUNCT
asir-56700	4	5	integral	integral	ADJ
asir-56700	4	6	equation	equation	NOUN
asir-56700	4	7	,	,	PUNCT
asir-56700	4	8	circular	circular	ADJ
asir-56700	4	9	loop	loop	NOUN
asir-56700	4	10	antenna	antenna	NOUN
asir-56700	4	11	1	1	NUM
asir-56700	4	12	.	.	PUNCT
asir-56700	5	1	introduction	introduction	NOUN
asir-56700	5	2	there	there	PRON
asir-56700	5	3	are	be	VERB
asir-56700	5	4	problems	problem	NOUN
asir-56700	5	5	that	that	SCONJ
asir-56700	5	6	at	at	ADP
asir-56700	5	7	first	first	ADJ
asir-56700	5	8	sight	sight	NOUN
asir-56700	5	9	seem	seem	VERB
asir-56700	5	10	simple	simple	ADJ
asir-56700	5	11	,	,	PUNCT
asir-56700	5	12	but	but	CCONJ
asir-56700	5	13	stubbornly	stubbornly	ADV
asir-56700	5	14	oppose	oppose	VERB
asir-56700	5	15	to	to	ADP
asir-56700	5	16	rigorous	rigorous	ADJ
asir-56700	5	17	and	and	CCONJ
asir-56700	5	18	approximate	approximate	ADJ
asir-56700	5	19	decision	decision	NOUN
asir-56700	5	20	.	.	PUNCT
asir-56700	6	1	the	the	DET
asir-56700	6	2	symmetrical	symmetrical	ADJ
asir-56700	6	3	loop	loop	NOUN
asir-56700	6	4	antenna	antenna	NOUN
asir-56700	6	5	(	(	PUNCT
asir-56700	6	6	circular	circular	ADJ
asir-56700	6	7	or	or	CCONJ
asir-56700	6	8	rectangular	rectangular	ADJ
asir-56700	6	9	)	)	PUNCT
asir-56700	6	10	with	with	ADP
asir-56700	6	11	a	a	DET
asir-56700	6	12	length	length	NOUN
asir-56700	6	13	,	,	PUNCT
asir-56700	6	14	comparable	comparable	ADJ
asir-56700	6	15	with	with	ADP
asir-56700	6	16	the	the	DET
asir-56700	6	17	wavelength	wavelength	NOUN
asir-56700	6	18	,	,	PUNCT
asir-56700	6	19	is	be	AUX
asir-56700	6	20	an	an	DET
asir-56700	6	21	example	example	NOUN
asir-56700	6	22	of	of	ADP
asir-56700	6	23	such	such	DET
asir-56700	6	24	a	a	DET
asir-56700	6	25	problem	problem	NOUN
asir-56700	6	26	.	.	PUNCT
asir-56700	7	1	as	as	ADP
asir-56700	7	2	a	a	DET
asir-56700	7	3	rule	rule	NOUN
asir-56700	7	4	,	,	PUNCT
asir-56700	7	5	it	it	PRON
asir-56700	7	6	is	be	AUX
asir-56700	7	7	located	locate	VERB
asir-56700	7	8	vertically	vertically	ADV
asir-56700	7	9	and	and	CCONJ
asir-56700	7	10	in	in	ADP
asir-56700	7	11	a	a	DET
asir-56700	7	12	horizontal	horizontal	ADJ
asir-56700	7	13	plane	plane	NOUN
asir-56700	7	14	has	have	VERB
asir-56700	7	15	the	the	DET
asir-56700	7	16	important	important	ADJ
asir-56700	7	17	and	and	CCONJ
asir-56700	7	18	often	often	ADV
asir-56700	7	19	necessary	necessary	ADJ
asir-56700	7	20	peculiarity	peculiarity	NOUN
asir-56700	7	21	the	the	DET
asir-56700	7	22	presence	presence	NOUN
asir-56700	7	23	of	of	ADP
asir-56700	7	24	a	a	DET
asir-56700	7	25	zero	zero	NUM
asir-56700	7	26	direction	direction	NOUN
asir-56700	7	27	.	.	PUNCT
asir-56700	8	1	at	at	SCONJ
asir-56700	8	2	that	that	PRON
asir-56700	8	3	the	the	DET
asir-56700	8	4	directional	directional	ADJ
asir-56700	8	5	pattern	pattern	NOUN
asir-56700	8	6	of	of	ADP
asir-56700	8	7	a	a	DET
asir-56700	8	8	circular	circular	ADJ
asir-56700	8	9	loop	loop	NOUN
asir-56700	8	10	antenna	antenna	NOUN
asir-56700	8	11	has	have	VERB
asir-56700	8	12	the	the	DET
asir-56700	8	13	form	form	NOUN
asir-56700	8	14	of	of	ADP
asir-56700	8	15	a	a	DET
asir-56700	8	16	figure	figure	NOUN
asir-56700	8	17	-	-	PUNCT
asir-56700	8	18	eight	eight	NUM
asir-56700	8	19	.	.	PUNCT
asir-56700	9	1	this	this	DET
asir-56700	9	2	feature	feature	NOUN
asir-56700	9	3	allows	allow	VERB
asir-56700	9	4	us	we	PRON
asir-56700	9	5	to	to	PART
asir-56700	9	6	use	use	VERB
asir-56700	9	7	such	such	ADJ
asir-56700	9	8	antennas	antenna	NOUN
asir-56700	9	9	for	for	ADP
asir-56700	9	10	direction	direction	NOUN
asir-56700	9	11	finding	finding	NOUN
asir-56700	9	12	.	.	PUNCT
asir-56700	10	1	the	the	DET
asir-56700	10	2	properties	property	NOUN
asir-56700	10	3	of	of	ADP
asir-56700	10	4	these	these	DET
asir-56700	10	5	antennas	antenna	NOUN
asir-56700	10	6	with	with	ADP
asir-56700	10	7	dimensions	dimension	NOUN
asir-56700	10	8	,	,	PUNCT
asir-56700	10	9	small	small	ADJ
asir-56700	10	10	in	in	ADP
asir-56700	10	11	comparison	comparison	NOUN
asir-56700	10	12	with	with	ADP
asir-56700	10	13	the	the	DET
asir-56700	10	14	wavelength	wavelength	NOUN
asir-56700	10	15	,	,	PUNCT
asir-56700	10	16	are	be	AUX
asir-56700	10	17	well	well	ADV
asir-56700	10	18	known	know	VERB
asir-56700	10	19	:	:	PUNCT
asir-56700	10	20	see	see	VERB
asir-56700	10	21	,	,	PUNCT
asir-56700	10	22	for	for	ADP
asir-56700	10	23	example	example	NOUN
asir-56700	10	24	,	,	PUNCT
asir-56700	10	25	fradin	fradin	VERB
asir-56700	10	26	(	(	PUNCT
asir-56700	10	27	1977	1977	NUM
asir-56700	10	28	)	)	PUNCT
asir-56700	10	29	.	.	PUNCT
asir-56700	11	1	unfortunately	unfortunately	ADV
asir-56700	11	2	,	,	PUNCT
asir-56700	11	3	if	if	SCONJ
asir-56700	11	4	the	the	DET
asir-56700	11	5	loop	loop	NOUN
asir-56700	11	6	dimensions	dimension	NOUN
asir-56700	11	7	are	be	AUX
asir-56700	11	8	comparable	comparable	ADJ
asir-56700	11	9	with	with	ADP
asir-56700	11	10	the	the	DET
asir-56700	11	11	wavelength	wavelength	NOUN
asir-56700	11	12	,	,	PUNCT
asir-56700	11	13	the	the	DET
asir-56700	11	14	problem	problem	NOUN
asir-56700	11	15	becomes	become	VERB
asir-56700	11	16	much	much	ADV
asir-56700	11	17	more	more	ADV
asir-56700	11	18	complicated	complicated	ADJ
asir-56700	11	19	.	.	PUNCT
asir-56700	12	1	it	it	PRON
asir-56700	12	2	requires	require	VERB
asir-56700	12	3	,	,	PUNCT
asir-56700	12	4	as	as	ADP
asir-56700	12	5	in	in	ADP
asir-56700	12	6	the	the	DET
asir-56700	12	7	case	case	NOUN
asir-56700	12	8	of	of	ADP
asir-56700	12	9	linear	linear	PROPN
asir-56700	12	10	radiator	radiator	NOUN
asir-56700	12	11	,	,	PUNCT
asir-56700	12	12	the	the	DET
asir-56700	12	13	solution	solution	NOUN
asir-56700	12	14	of	of	ADP
asir-56700	12	15	an	an	DET
asir-56700	12	16	integral	integral	ADJ
asir-56700	12	17	equation	equation	NOUN
asir-56700	12	18	.	.	PUNCT
asir-56700	13	1	interesting	interesting	ADJ
asir-56700	13	2	results	result	NOUN
asir-56700	13	3	can	can	AUX
asir-56700	13	4	be	be	AUX
asir-56700	13	5	obtained	obtain	VERB
asir-56700	13	6	,	,	PUNCT
asir-56700	13	7	if	if	SCONJ
asir-56700	13	8	analyze	analyze	VERB
asir-56700	13	9	the	the	DET
asir-56700	13	10	structure	structure	NOUN
asir-56700	13	11	of	of	ADP
asir-56700	13	12	a	a	DET
asir-56700	13	13	circular	circular	ADJ
asir-56700	13	14	loop	loop	NOUN
asir-56700	13	15	antenna	antenna	NOUN
asir-56700	13	16	more	more	ADV
asir-56700	13	17	precisely	precisely	ADV
asir-56700	13	18	and	and	CCONJ
asir-56700	13	19	compare	compare	VERB
asir-56700	13	20	it	it	PRON
asir-56700	13	21	with	with	ADP
asir-56700	13	22	the	the	DET
asir-56700	13	23	structure	structure	NOUN
asir-56700	13	24	of	of	ADP
asir-56700	13	25	a	a	DET
asir-56700	13	26	straight	straight	ADJ
asir-56700	13	27	radiator	radiator	NOUN
asir-56700	13	28	with	with	ADP
asir-56700	13	29	two	two	NUM
asir-56700	13	30	arms	arm	NOUN
asir-56700	13	31	(	(	PUNCT
asir-56700	13	32	dipole	dipole	NOUN
asir-56700	13	33	)	)	PUNCT
asir-56700	13	34	.	.	PUNCT
asir-56700	14	1	as	as	SCONJ
asir-56700	14	2	seen	see	VERB
asir-56700	14	3	from	from	ADP
asir-56700	14	4	fig	fig	NOUN
asir-56700	14	5	.	.	PUNCT
asir-56700	15	1	1а	1а	NOUN
asir-56700	15	2	,	,	PUNCT
asir-56700	15	3	the	the	DET
asir-56700	15	4	dipole	dipole	NOUN
asir-56700	15	5	’s	’s	PART
asir-56700	15	6	structure	structure	NOUN
asir-56700	15	7	is	be	AUX
asir-56700	15	8	symmetrical	symmetrical	ADJ
asir-56700	15	9	relatively	relatively	ADV
asir-56700	15	10	horizontal	horizontal	ADJ
asir-56700	15	11	line	line	NOUN
asir-56700	15	12	,	,	PUNCT
asir-56700	15	13	i.e.	i.e.	X
asir-56700	15	14	one	one	NUM
asir-56700	15	15	consists	consist	VERB
asir-56700	15	16	of	of	ADP
asir-56700	15	17	two	two	NUM
asir-56700	15	18	identical	identical	ADJ
asir-56700	15	19	elements	element	NOUN
asir-56700	15	20	,	,	PUNCT
asir-56700	15	21	located	locate	VERB
asir-56700	15	22	towards	towards	ADP
asir-56700	15	23	.	.	PUNCT
asir-56700	16	1	from	from	ADP
asir-56700	16	2	these	these	DET
asir-56700	16	3	observations	observation	NOUN
asir-56700	16	4	one	one	PRON
asir-56700	16	5	can	can	AUX
asir-56700	16	6	make	make	VERB
asir-56700	16	7	useful	useful	ADJ
asir-56700	16	8	conclusions	conclusion	NOUN
asir-56700	16	9	.	.	PUNCT
asir-56700	17	1	the	the	DET
asir-56700	17	2	horizontal	horizontal	ADJ
asir-56700	17	3	directional	directional	ADJ
asir-56700	17	4	pattern	pattern	NOUN
asir-56700	17	5	of	of	ADP
asir-56700	17	6	the	the	DET
asir-56700	17	7	straight	straight	ADJ
asir-56700	17	8	radiator	radiator	NOUN
asir-56700	17	9	has	have	VERB
asir-56700	17	10	the	the	DET
asir-56700	17	11	form	form	NOUN
asir-56700	17	12	of	of	ADP
asir-56700	17	13	a	a	DET
asir-56700	17	14	circumference	circumference	NOUN
asir-56700	17	15	.	.	PUNCT
asir-56700	18	1	the	the	DET
asir-56700	18	2	horizontal	horizontal	ADJ
asir-56700	18	3	directional	directional	ADJ
asir-56700	18	4	pattern	pattern	NOUN
asir-56700	18	5	of	of	ADP
asir-56700	18	6	the	the	DET
asir-56700	18	7	loop	loop	NOUN
asir-56700	18	8	antenna	antenna	NOUN
asir-56700	18	9	(	(	PUNCT
asir-56700	18	10	circular	circular	ADJ
asir-56700	18	11	and	and	CCONJ
asir-56700	18	12	rectangular	rectangular	ADJ
asir-56700	18	13	)	)	PUNCT
asir-56700	18	14	has	have	VERB
asir-56700	18	15	the	the	DET
asir-56700	18	16	form	form	NOUN
asir-56700	18	17	of	of	ADP
asir-56700	18	18	figure	figure	NOUN
asir-56700	18	19	-	-	PUNCT
asir-56700	18	20	eight	eight	NUM
asir-56700	18	21	.	.	PUNCT
asir-56700	19	1	therefore	therefore	ADV
asir-56700	19	2	,	,	PUNCT
asir-56700	19	3	its	its	PRON
asir-56700	19	4	radiated	radiate	VERB
asir-56700	19	5	power	power	NOUN
asir-56700	19	6	is	be	AUX
asir-56700	19	7	reduced	reduce	VERB
asir-56700	19	8	approximately	approximately	ADV
asir-56700	19	9	twice	twice	ADV
asir-56700	19	10	at	at	ADP
asir-56700	19	11	the	the	DET
asir-56700	19	12	same	same	ADJ
asir-56700	19	13	length	length	NOUN
asir-56700	19	14	.	.	PUNCT
asir-56700	20	1	on	on	ADP
asir-56700	20	2	fig	fig	NOUN
asir-56700	20	3	.	.	PUNCT
asir-56700	21	1	1b	1b	PROPN
asir-56700	21	2	the	the	DET
asir-56700	21	3	other	other	ADJ
asir-56700	21	4	structure	structure	NOUN
asir-56700	21	5	,	,	PUNCT
asir-56700	21	6	located	locate	VERB
asir-56700	21	7	along	along	ADP
asir-56700	21	8	a	a	DET
asir-56700	21	9	vertical	vertical	ADJ
asir-56700	21	10	line	line	NOUN
asir-56700	21	11	and	and	CCONJ
asir-56700	21	12	consisting	consist	VERB
asir-56700	21	13	of	of	ADP
asir-56700	21	14	two	two	NUM
asir-56700	21	15	identical	identical	ADJ
asir-56700	21	16	arms	arm	NOUN
asir-56700	21	17	,	,	PUNCT
asir-56700	21	18	is	be	AUX
asir-56700	21	19	given	give	VERB
asir-56700	21	20	,	,	PUNCT
asir-56700	21	21	and	and	CCONJ
asir-56700	21	22	each	each	DET
asir-56700	21	23	arm	arm	NOUN
asir-56700	21	24	coincides	coincide	VERB
asir-56700	21	25	with	with	ADP
asir-56700	21	26	the	the	DET
asir-56700	21	27	right	right	ADJ
asir-56700	21	28	branch	branch	NOUN
asir-56700	21	29	of	of	ADP
asir-56700	21	30	the	the	DET
asir-56700	21	31	circular	circular	ADJ
asir-56700	21	32	loop	loop	NOUN
asir-56700	21	33	antenna	antenna	NOUN
asir-56700	21	34	.	.	PUNCT
asir-56700	22	1	one	one	PRON
asir-56700	22	2	can	can	AUX
asir-56700	22	3	easily	easily	ADV
asir-56700	22	4	see	see	VERB
asir-56700	22	5	that	that	SCONJ
asir-56700	22	6	the	the	DET
asir-56700	22	7	loop	loop	NOUN
asir-56700	22	8	antenna	antenna	NOUN
asir-56700	22	9	(	(	PUNCT
asir-56700	22	10	fig	fig	NOUN
asir-56700	22	11	.	.	PUNCT
asir-56700	22	12	1c	1c	NOUN
asir-56700	22	13	)	)	PUNCT
asir-56700	22	14	is	be	AUX
asir-56700	22	15	symmetrical	symmetrical	ADJ
asir-56700	22	16	relatively	relatively	ADV
asir-56700	22	17	vertical	vertical	ADJ
asir-56700	22	18	line	line	NOUN
asir-56700	22	19	:	:	PUNCT
asir-56700	22	20	it	it	PRON
asir-56700	22	21	consists	consist	VERB
asir-56700	22	22	of	of	ADP
asir-56700	22	23	the	the	DET
asir-56700	22	24	left	left	ADJ
asir-56700	22	25	and	and	CCONJ
asir-56700	22	26	right	right	ADJ
asir-56700	22	27	branches	branch	NOUN
asir-56700	22	28	,	,	PUNCT
asir-56700	22	29	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	VERB
asir-56700	22	30	applied	apply	VERB
asir-56700	22	31	science	science	NOUN
asir-56700	22	32	and	and	CCONJ
asir-56700	22	33	innovative	innovative	ADJ
asir-56700	22	34	research	research	NOUN
asir-56700	22	35	vol	vol	NOUN
asir-56700	22	36	.	.	PUNCT
asir-56700	23	1	9	9	NUM
asir-56700	23	2	,	,	PUNCT
asir-56700	23	3	no	no	INTJ
asir-56700	23	4	.	.	NOUN
asir-56700	23	5	4	4	NUM
asir-56700	23	6	,	,	PUNCT
asir-56700	23	7	2025	2025	NUM
asir-56700	23	8	48	48	NUM
asir-56700	23	9	published	publish	VERB
asir-56700	23	10	by	by	ADP
asir-56700	23	11	scholink	scholink	PROPN
asir-56700	23	12	inc	inc	PROPN
asir-56700	23	13	.	.	PROPN
asir-56700	23	14	directed	direct	VERB
asir-56700	23	15	contrary	contrary	ADV
asir-56700	23	16	along	along	ADP
asir-56700	23	17	horizontal	horizontal	ADJ
asir-56700	23	18	line	line	NOUN
asir-56700	23	19	.	.	PUNCT
asir-56700	24	1	fig	fig	NOUN
asir-56700	24	2	.	.	PUNCT
asir-56700	25	1	1	1	X
asir-56700	25	2	.	.	X
asir-56700	26	1	radiators	radiator	NOUN
asir-56700	26	2	with	with	ADP
asir-56700	26	3	two	two	NUM
asir-56700	26	4	straight	straight	ADJ
asir-56700	26	5	(	(	PUNCT
asir-56700	26	6	a	a	NOUN
asir-56700	26	7	)	)	PUNCT
asir-56700	26	8	and	and	CCONJ
asir-56700	26	9	semi	semi	ADJ
asir-56700	26	10	-	-	ADJ
asir-56700	26	11	circular	circular	ADJ
asir-56700	26	12	(	(	PUNCT
asir-56700	26	13	b	b	NOUN
asir-56700	26	14	)	)	PUNCT
asir-56700	26	15	arms	arm	NOUN
asir-56700	26	16	,	,	PUNCT
asir-56700	26	17	circular	circular	ADJ
asir-56700	26	18	loop	loop	NOUN
asir-56700	26	19	(	(	PUNCT
asir-56700	26	20	c	c	NOUN
asir-56700	26	21	)	)	PUNCT
asir-56700	26	22	2	2	NUM
asir-56700	26	23	.	.	X
asir-56700	26	24	straight	straight	ADJ
asir-56700	26	25	and	and	CCONJ
asir-56700	26	26	loop	loop	NOUN
asir-56700	26	27	radiators	radiator	NOUN
asir-56700	26	28	it	it	PRON
asir-56700	26	29	is	be	AUX
asir-56700	26	30	useful	useful	ADJ
asir-56700	26	31	to	to	PART
asir-56700	26	32	compare	compare	VERB
asir-56700	26	33	the	the	DET
asir-56700	26	34	properties	property	NOUN
asir-56700	26	35	of	of	ADP
asir-56700	26	36	the	the	DET
asir-56700	26	37	straight	straight	ADJ
asir-56700	26	38	and	and	CCONJ
asir-56700	26	39	loop	loop	NOUN
asir-56700	26	40	radiators	radiator	NOUN
asir-56700	26	41	.	.	PUNCT
asir-56700	27	1	as	as	SCONJ
asir-56700	27	2	is	be	AUX
asir-56700	27	3	known	know	VERB
asir-56700	27	4	,	,	PUNCT
asir-56700	27	5	the	the	DET
asir-56700	27	6	rigorous	rigorous	ADJ
asir-56700	27	7	method	method	NOUN
asir-56700	27	8	of	of	ADP
asir-56700	27	9	calculating	calculate	VERB
asir-56700	27	10	the	the	DET
asir-56700	27	11	current	current	ADJ
asir-56700	27	12	’s	’s	PART
asir-56700	27	13	distribution	distribution	NOUN
asir-56700	27	14	and	and	CCONJ
asir-56700	27	15	the	the	DET
asir-56700	27	16	input	input	NOUN
asir-56700	27	17	impedance	impedance	NOUN
asir-56700	27	18	of	of	ADP
asir-56700	27	19	the	the	DET
asir-56700	27	20	straight	straight	ADJ
asir-56700	27	21	radiator	radiator	NOUN
asir-56700	27	22	is	be	AUX
asir-56700	27	23	given	give	VERB
asir-56700	27	24	in	in	ADP
asir-56700	27	25	leontovich	leontovich	NOUN
asir-56700	27	26	and	and	CCONJ
asir-56700	27	27	levin	levin	PROPN
asir-56700	27	28	(	(	PUNCT
asir-56700	27	29	1944	1944	NUM
asir-56700	27	30	)	)	PUNCT
asir-56700	27	31	as	as	ADP
asir-56700	27	32	the	the	DET
asir-56700	27	33	solution	solution	NOUN
asir-56700	27	34	’s	’s	PART
asir-56700	27	35	result	result	NOUN
asir-56700	27	36	of	of	ADP
asir-56700	27	37	the	the	DET
asir-56700	27	38	integral	integral	ADJ
asir-56700	27	39	equation	equation	NOUN
asir-56700	27	40	for	for	ADP
asir-56700	27	41	the	the	DET
asir-56700	27	42	current	current	NOUN
asir-56700	27	43	along	along	ADP
asir-56700	27	44	the	the	DET
asir-56700	27	45	antenna	antenna	NOUN
asir-56700	27	46	’s	’s	PART
asir-56700	27	47	conductor	conductor	NOUN
asir-56700	27	48	.	.	PUNCT
asir-56700	28	1	the	the	DET
asir-56700	28	2	expression	expression	NOUN
asir-56700	28	3	for	for	ADP
asir-56700	28	4	current	current	ADJ
asir-56700	28	5	along	along	ADP
asir-56700	28	6	the	the	DET
asir-56700	28	7	straight	straight	ADJ
asir-56700	28	8	radiator	radiator	NOUN
asir-56700	28	9	takes	take	VERB
asir-56700	28	10	the	the	DET
asir-56700	28	11	form	form	NOUN
asir-56700	28	12	of	of	ADP
asir-56700	28	13	a	a	DET
asir-56700	28	14	series	series	NOUN
asir-56700	28	15	with	with	ADP
asir-56700	28	16	terms	term	NOUN
asir-56700	28	17	located	locate	VERB
asir-56700	28	18	according	accord	VERB
asir-56700	28	19	to	to	ADP
asir-56700	28	20	powers	power	NOUN
asir-56700	28	21	of	of	ADP
asir-56700	28	22	a	a	DET
asir-56700	28	23	small	small	ADJ
asir-56700	28	24	parameter	parameter	NOUN
asir-56700	28	25	𝜒1	𝜒1	NOUN
asir-56700	28	26	=	=	SYM
asir-56700	28	27	1⁄(2𝑙𝑛𝑝𝑎	1⁄(2𝑙𝑛𝑝𝑎	NUM
asir-56700	28	28	)	)	PUNCT
asir-56700	28	29	.	.	PUNCT
asir-56700	29	1	here	here	ADV
asir-56700	29	2	a	a	PRON
asir-56700	29	3	is	be	AUX
asir-56700	29	4	the	the	DET
asir-56700	29	5	radiator	radiator	NOUN
asir-56700	29	6	’	'	PUNCT
asir-56700	29	7	radius	radius	NOUN
asir-56700	29	8	.	.	PUNCT
asir-56700	30	1	as	as	SCONJ
asir-56700	30	2	is	be	AUX
asir-56700	30	3	shown	show	VERB
asir-56700	30	4	in	in	ADP
asir-56700	30	5	miller	miller	PROPN
asir-56700	30	6	(	(	PUNCT
asir-56700	30	7	1954	1954	NUM
asir-56700	30	8	)	)	PUNCT
asir-56700	30	9	,	,	PUNCT
asir-56700	30	10	in	in	ADP
asir-56700	30	11	the	the	DET
asir-56700	30	12	capacity	capacity	NOUN
asir-56700	30	13	of	of	ADP
asir-56700	30	14	constant	constant	ADJ
asir-56700	30	15	1/𝑝	1/𝑝	NUM
asir-56700	30	16	one	one	NUM
asir-56700	30	17	should	should	AUX
asir-56700	30	18	choose	choose	VERB
asir-56700	30	19	the	the	DET
asir-56700	30	20	distance	distance	NOUN
asir-56700	30	21	to	to	ADP
asir-56700	30	22	the	the	DET
asir-56700	30	23	nearest	near	ADJ
asir-56700	30	24	inhomogeneity	inhomogeneity	NOUN
asir-56700	30	25	,	,	PUNCT
asir-56700	30	26	i.e.	i.e.	X
asir-56700	30	27	,	,	PUNCT
asir-56700	30	28	the	the	DET
asir-56700	30	29	smallest	small	ADJ
asir-56700	30	30	of	of	ADP
asir-56700	30	31	three	three	NUM
asir-56700	30	32	magnitudes	magnitude	NOUN
asir-56700	30	33	:	:	PUNCT
asir-56700	30	34	wavelength	wavelength	NOUN
asir-56700	30	35	λ	λ	PROPN
asir-56700	30	36	,	,	PUNCT
asir-56700	30	37	antenna	antenna	NOUN
asir-56700	30	38	length	length	NOUN
asir-56700	30	39	2l	2l	NUM
asir-56700	30	40	and	and	CCONJ
asir-56700	30	41	radius	radius	ADJ
asir-56700	30	42	𝑅0	𝑅0	NOUN
asir-56700	30	43	of	of	ADP
asir-56700	30	44	the	the	DET
asir-56700	30	45	curvature	curvature	NOUN
asir-56700	30	46	.	.	PUNCT
asir-56700	31	1	in	in	ADP
asir-56700	31	2	order	order	NOUN
asir-56700	31	3	to	to	PART
asir-56700	31	4	calculate	calculate	VERB
asir-56700	31	5	the	the	DET
asir-56700	31	6	total	total	ADJ
asir-56700	31	7	sum	sum	NOUN
asir-56700	31	8	of	of	ADP
asir-56700	31	9	the	the	DET
asir-56700	31	10	series	series	NOUN
asir-56700	31	11	in	in	ADP
asir-56700	31	12	case	case	NOUN
asir-56700	31	13	of	of	ADP
asir-56700	31	14	a	a	DET
asir-56700	31	15	straight	straight	ADJ
asir-56700	31	16	radiator	radiator	NOUN
asir-56700	31	17	,	,	PUNCT
asir-56700	31	18	the	the	DET
asir-56700	31	19	length	length	NOUN
asir-56700	31	20	of	of	ADP
asir-56700	31	21	which	which	PRON
asir-56700	31	22	does	do	AUX
asir-56700	31	23	not	not	PART
asir-56700	31	24	exceed	exceed	VERB
asir-56700	31	25	the	the	DET
asir-56700	31	26	wavelength	wavelength	NOUN
asir-56700	31	27	,	,	PUNCT
asir-56700	31	28	one	one	PRON
asir-56700	31	29	can	can	AUX
asir-56700	31	30	consider	consider	VERB
asir-56700	31	31	that	that	DET
asir-56700	31	32	1⁄𝑝=2𝐿	1⁄𝑝=2𝐿	NOUN
asir-56700	31	33	,	,	PUNCT
asir-56700	31	34	i.e.	i.e.	X
asir-56700	31	35	𝜒=−𝜒1=[2	𝜒=−𝜒1=[2	X
asir-56700	31	36	ln(2𝐿	ln(2𝐿	PROPN
asir-56700	31	37	𝑎⁄	𝑎⁄	PROPN
asir-56700	31	38	)	)	PUNCT
asir-56700	31	39	]	]	X
asir-56700	31	40	−1	−1	NOUN
asir-56700	31	41	.	.	PUNCT
asir-56700	32	1	the	the	DET
asir-56700	32	2	integral	integral	ADJ
asir-56700	32	3	equation	equation	NOUN
asir-56700	32	4	for	for	ADP
asir-56700	32	5	the	the	DET
asir-56700	32	6	current	current	NOUN
asir-56700	32	7	in	in	ADP
asir-56700	32	8	the	the	DET
asir-56700	32	9	straight	straight	ADJ
asir-56700	32	10	radiator	radiator	NOUN
asir-56700	32	11	,	,	PUNCT
asir-56700	32	12	considered	consider	VERB
asir-56700	32	13	in	in	ADP
asir-56700	32	14	leontovich	leontovich	NOUN
asir-56700	32	15	and	and	CCONJ
asir-56700	32	16	levin	levin	PROPN
asir-56700	32	17	(	(	PUNCT
asir-56700	32	18	1944	1944	NUM
asir-56700	32	19	)	)	PUNCT
asir-56700	32	20	,	,	PUNCT
asir-56700	32	21	is	be	AUX
asir-56700	32	22	solved	solve	VERB
asir-56700	32	23	in	in	ADP
asir-56700	32	24	the	the	DET
asir-56700	32	25	second	second	ADJ
asir-56700	32	26	approximation	approximation	NOUN
asir-56700	32	27	.	.	PUNCT
asir-56700	33	1	calculation	calculation	NOUN
asir-56700	33	2	of	of	ADP
asir-56700	33	3	the	the	DET
asir-56700	33	4	series	serie	NOUN
asir-56700	33	5	’	'	PUNCT
asir-56700	33	6	terms	term	NOUN
asir-56700	33	7	is	be	AUX
asir-56700	33	8	based	base	VERB
asir-56700	33	9	on	on	ADP
asir-56700	33	10	the	the	DET
asir-56700	33	11	assumption	assumption	NOUN
asir-56700	33	12	that	that	SCONJ
asir-56700	33	13	the	the	DET
asir-56700	33	14	current	current	NOUN
asir-56700	33	15	is	be	AUX
asir-56700	33	16	located	locate	VERB
asir-56700	33	17	on	on	ADP
asir-56700	33	18	the	the	DET
asir-56700	33	19	radiator	radiator	NOUN
asir-56700	33	20	’s	’s	PART
asir-56700	33	21	axis	axis	NOUN
asir-56700	33	22	.	.	PUNCT
asir-56700	34	1	in	in	ADP
asir-56700	34	2	order	order	NOUN
asir-56700	34	3	to	to	PART
asir-56700	34	4	calculate	calculate	VERB
asir-56700	34	5	the	the	DET
asir-56700	34	6	total	total	ADJ
asir-56700	34	7	sum	sum	NOUN
asir-56700	34	8	of	of	ADP
asir-56700	34	9	a	a	DET
asir-56700	34	10	series	series	NOUN
asir-56700	34	11	,	,	PUNCT
asir-56700	34	12	the	the	DET
asir-56700	34	13	integral	integral	ADJ
asir-56700	34	14	equation	equation	NOUN
asir-56700	34	15	was	be	AUX
asir-56700	34	16	replaced	replace	VERB
asir-56700	34	17	by	by	ADP
asir-56700	34	18	a	a	DET
asir-56700	34	19	key	key	ADJ
asir-56700	34	20	equation	equation	NOUN
asir-56700	34	21	and	and	CCONJ
asir-56700	34	22	solved	solve	VERB
asir-56700	34	23	by	by	ADP
asir-56700	34	24	variational	variational	ADJ
asir-56700	34	25	methods	method	NOUN
asir-56700	34	26	(	(	PUNCT
asir-56700	34	27	vainshtein	vainshtein	ADJ
asir-56700	34	28	,	,	PUNCT
asir-56700	34	29	1959	1959	NUM
asir-56700	34	30	-	-	SYM
asir-56700	34	31	1961	1961	NUM
asir-56700	34	32	)	)	PUNCT
asir-56700	34	33	.	.	PUNCT
asir-56700	35	1	the	the	DET
asir-56700	35	2	obtained	obtain	VERB
asir-56700	35	3	results	result	NOUN
asir-56700	35	4	were	be	AUX
asir-56700	35	5	presented	present	VERB
asir-56700	35	6	in	in	ADP
asir-56700	35	7	1964	1964	NUM
asir-56700	35	8	at	at	ADP
asir-56700	35	9	a	a	DET
asir-56700	35	10	conference	conference	NOUN
asir-56700	35	11	in	in	ADP
asir-56700	35	12	kharkov	kharkov	PROPN
asir-56700	35	13	.	.	PUNCT
asir-56700	36	1	they	they	PRON
asir-56700	36	2	show	show	VERB
asir-56700	36	3	that	that	SCONJ
asir-56700	36	4	the	the	DET
asir-56700	36	5	total	total	ADJ
asir-56700	36	6	current	current	ADJ
asir-56700	36	7	weakly	weakly	ADJ
asir-56700	36	8	differs	differ	VERB
asir-56700	36	9	from	from	ADP
asir-56700	36	10	the	the	DET
asir-56700	36	11	second	second	ADJ
asir-56700	36	12	approximation	approximation	NOUN
asir-56700	36	13	.	.	PUNCT
asir-56700	37	1	the	the	DET
asir-56700	37	2	simple	simple	ADJ
asir-56700	37	3	and	and	CCONJ
asir-56700	37	4	visual	visual	ADJ
asir-56700	37	5	method	method	NOUN
asir-56700	37	6	of	of	ADP
asir-56700	37	7	calculating	calculate	VERB
asir-56700	37	8	the	the	DET
asir-56700	37	9	terms	term	NOUN
asir-56700	37	10	of	of	ADP
asir-56700	37	11	a	a	DET
asir-56700	37	12	current	current	ADJ
asir-56700	37	13	series	series	NOUN
asir-56700	37	14	is	be	AUX
asir-56700	37	15	offered	offer	VERB
asir-56700	37	16	in	in	ADP
asir-56700	37	17	levin	levin	PROPN
asir-56700	37	18	(	(	PUNCT
asir-56700	37	19	2025	2025	NUM
asir-56700	37	20	)	)	PUNCT
asir-56700	37	21	.	.	PUNCT
asir-56700	38	1	it	it	PRON
asir-56700	38	2	is	be	AUX
asir-56700	38	3	based	base	VERB
asir-56700	38	4	on	on	ADP
asir-56700	38	5	the	the	DET
asir-56700	38	6	use	use	NOUN
asir-56700	38	7	of	of	ADP
asir-56700	38	8	geometric	geometric	ADJ
asir-56700	38	9	progression	progression	NOUN
asir-56700	38	10	.	.	PUNCT
asir-56700	39	1	as	as	SCONJ
asir-56700	39	2	is	be	AUX
asir-56700	39	3	known	know	VERB
asir-56700	39	4	,	,	PUNCT
asir-56700	39	5	the	the	DET
asir-56700	39	6	geometric	geometric	ADJ
asir-56700	39	7	progression	progression	NOUN
asir-56700	39	8	is	be	AUX
asir-56700	39	9	sequence	sequence	NOUN
asir-56700	39	10	of	of	ADP
asir-56700	39	11	numbers	number	NOUN
asir-56700	39	12	𝑎𝑛	𝑎𝑛	PRON
asir-56700	39	13	,	,	PUNCT
asir-56700	39	14	in	in	ADP
asir-56700	39	15	which	which	PRON
asir-56700	39	16	each	each	DET
asir-56700	39	17	sequential	sequential	ADJ
asir-56700	39	18	number	number	NOUN
asir-56700	39	19	𝑎𝑛+1	𝑎𝑛+1	NUM
asir-56700	39	20	is	be	AUX
asir-56700	39	21	equal	equal	ADJ
asir-56700	39	22	to	to	ADP
asir-56700	39	23	the	the	DET
asir-56700	39	24	preceding	precede	VERB
asir-56700	39	25	one	one	NUM
asir-56700	39	26	,	,	PUNCT
asir-56700	39	27	multiplied	multiply	VERB
asir-56700	39	28	by	by	ADP
asir-56700	39	29	the	the	DET
asir-56700	39	30	denominator	denominator	NOUN
asir-56700	39	31	q	q	PROPN
asir-56700	39	32	of	of	ADP
asir-56700	39	33	the	the	DET
asir-56700	39	34	progression	progression	NOUN
asir-56700	39	35	.	.	PUNCT
asir-56700	40	1	if	if	SCONJ
asir-56700	40	2	q<1	q<1	NOUN
asir-56700	40	3	,	,	PUNCT
asir-56700	40	4	the	the	DET
asir-56700	40	5	progression	progression	NOUN
asir-56700	40	6	is	be	AUX
asir-56700	40	7	called	call	VERB
asir-56700	40	8	by	by	ADP
asir-56700	40	9	descending	descend	VERB
asir-56700	40	10	,	,	PUNCT
asir-56700	40	11	and	and	CCONJ
asir-56700	40	12	with	with	ADP
asir-56700	40	13	grows	grow	NOUN
asir-56700	40	14	of	of	ADP
asir-56700	40	15	terms	term	NOUN
asir-56700	40	16	’	'	PUNCT
asir-56700	40	17	quantity	quantity	NOUN
asir-56700	40	18	n	n	PRON
asir-56700	40	19	its	its	PRON
asir-56700	40	20	sum	sum	NOUN
asir-56700	40	21	grows	grow	VERB
asir-56700	40	22	limitlessly	limitlessly	ADV
asir-56700	40	23	and	and	CCONJ
asir-56700	40	24	tends	tend	VERB
asir-56700	40	25	to	to	ADP
asir-56700	40	26	the	the	DET
asir-56700	40	27	limit	limit	NOUN
asir-56700	40	28	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-56700	40	29	applied	apply	VERB
asir-56700	40	30	science	science	NOUN
asir-56700	40	31	and	and	CCONJ
asir-56700	40	32	innovative	innovative	ADJ
asir-56700	40	33	research	research	NOUN
asir-56700	40	34	vol	vol	NOUN
asir-56700	40	35	.	.	PUNCT
asir-56700	41	1	9	9	NUM
asir-56700	41	2	,	,	PUNCT
asir-56700	41	3	no	no	INTJ
asir-56700	41	4	.	.	NOUN
asir-56700	41	5	4	4	NUM
asir-56700	41	6	,	,	PUNCT
asir-56700	41	7	2025	2025	NUM
asir-56700	41	8	49	49	NUM
asir-56700	41	9	published	publish	VERB
asir-56700	41	10	by	by	ADP
asir-56700	41	11	scholink	scholink	PROPN
asir-56700	41	12	inc	inc	PROPN
asir-56700	41	13	.	.	PROPN
asir-56700	42	1	lim	lim	PROPN
asir-56700	42	2	𝑛→∞	𝑛→∞	NUM
asir-56700	42	3	𝑠𝑛	𝑠𝑛	NOUN
asir-56700	42	4	=	=	SYM
asir-56700	42	5	𝑠	𝑠	NOUN
asir-56700	43	1	=	=	SYM
asir-56700	43	2	𝑎1	𝑎1	PROPN
asir-56700	43	3	1−𝑞	1−𝑞	PROPN
asir-56700	43	4	.	.	PUNCT
asir-56700	44	1	as	as	SCONJ
asir-56700	44	2	follows	follow	VERB
asir-56700	44	3	from	from	ADP
asir-56700	44	4	leontovich	leontovich	NOUN
asir-56700	44	5	and	and	CCONJ
asir-56700	44	6	levin	levin	PROPN
asir-56700	44	7	(	(	PUNCT
asir-56700	44	8	1944	1944	NUM
asir-56700	44	9	)	)	PUNCT
asir-56700	44	10	and	and	CCONJ
asir-56700	44	11	is	be	AUX
asir-56700	44	12	shown	show	VERB
asir-56700	44	13	in	in	ADP
asir-56700	44	14	levin	levin	PROPN
asir-56700	44	15	(	(	PUNCT
asir-56700	44	16	2025	2025	NUM
asir-56700	44	17	)	)	PUNCT
asir-56700	44	18	,	,	PUNCT
asir-56700	44	19	the	the	DET
asir-56700	44	20	expression	expression	NOUN
asir-56700	44	21	for	for	ADP
asir-56700	44	22	current	current	ADJ
asir-56700	44	23	along	along	ADP
asir-56700	44	24	the	the	DET
asir-56700	44	25	straight	straight	ADJ
asir-56700	44	26	radiator	radiator	NOUN
asir-56700	44	27	takes	take	VERB
asir-56700	44	28	the	the	DET
asir-56700	44	29	form	form	NOUN
asir-56700	44	30	of	of	ADP
asir-56700	44	31	a	a	DET
asir-56700	44	32	series	series	NOUN
asir-56700	44	33	,	,	PUNCT
asir-56700	44	34	in	in	ADP
asir-56700	44	35	which	which	PRON
asir-56700	44	36	each	each	DET
asir-56700	44	37	subsequent	subsequent	ADJ
asir-56700	44	38	term	term	NOUN
asir-56700	44	39	is	be	AUX
asir-56700	44	40	result	result	NOUN
asir-56700	44	41	of	of	ADP
asir-56700	44	42	an	an	DET
asir-56700	44	43	additional	additional	ADJ
asir-56700	44	44	emf	emf	NOUN
asir-56700	44	45	,	,	PUNCT
asir-56700	44	46	created	create	VERB
asir-56700	44	47	by	by	ADP
asir-56700	44	48	fields	field	NOUN
asir-56700	44	49	,	,	PUNCT
asir-56700	44	50	radiated	radiate	VERB
asir-56700	44	51	by	by	ADP
asir-56700	44	52	previous	previous	ADJ
asir-56700	44	53	term	term	NOUN
asir-56700	44	54	of	of	ADP
asir-56700	44	55	this	this	DET
asir-56700	44	56	series	series	NOUN
asir-56700	44	57	.	.	PUNCT
asir-56700	45	1	the	the	DET
asir-56700	45	2	subsequent	subsequent	ADJ
asir-56700	45	3	term	term	NOUN
asir-56700	45	4	is	be	AUX
asir-56700	45	5	equal	equal	ADJ
asir-56700	45	6	to	to	ADP
asir-56700	45	7	the	the	DET
asir-56700	45	8	previous	previous	ADJ
asir-56700	45	9	one	one	NOUN
asir-56700	45	10	,	,	PUNCT
asir-56700	45	11	multiplied	multiply	VERB
asir-56700	45	12	by	by	ADP
asir-56700	45	13	-χ	-χ	ADP
asir-56700	45	14	,	,	PUNCT
asir-56700	45	15	where	where	SCONJ
asir-56700	45	16	χ	χ	NOUN
asir-56700	45	17	is	be	AUX
asir-56700	45	18	a	a	DET
asir-56700	45	19	small	small	ADJ
asir-56700	45	20	parameter	parameter	NOUN
asir-56700	45	21	.	.	PUNCT
asir-56700	46	1	one	one	PRON
asir-56700	46	2	can	can	AUX
asir-56700	46	3	consider	consider	VERB
asir-56700	46	4	that	that	SCONJ
asir-56700	46	5	the	the	DET
asir-56700	46	6	solution	solution	NOUN
asir-56700	46	7	of	of	ADP
asir-56700	46	8	this	this	DET
asir-56700	46	9	equation	equation	NOUN
asir-56700	46	10	is	be	AUX
asir-56700	46	11	accomplished	accomplish	VERB
asir-56700	46	12	by	by	ADP
asir-56700	46	13	the	the	DET
asir-56700	46	14	method	method	NOUN
asir-56700	46	15	of	of	ADP
asir-56700	46	16	sequential	sequential	ADJ
asir-56700	46	17	approximations	approximation	NOUN
asir-56700	46	18	.	.	PUNCT
asir-56700	47	1	the	the	DET
asir-56700	47	2	given	give	VERB
asir-56700	47	3	circumstances	circumstance	NOUN
asir-56700	47	4	allow	allow	VERB
asir-56700	47	5	us	we	PRON
asir-56700	47	6	to	to	PART
asir-56700	47	7	determine	determine	VERB
asir-56700	47	8	the	the	DET
asir-56700	47	9	total	total	ADJ
asir-56700	47	10	sum	sum	NOUN
asir-56700	47	11	of	of	ADP
asir-56700	47	12	the	the	DET
asir-56700	47	13	series	series	NOUN
asir-56700	47	14	as	as	ADP
asir-56700	47	15	the	the	DET
asir-56700	47	16	sum	sum	NOUN
asir-56700	47	17	of	of	ADP
asir-56700	47	18	infinite	infinite	ADJ
asir-56700	47	19	geometric	geometric	ADJ
asir-56700	47	20	progression	progression	NOUN
asir-56700	47	21	.	.	PUNCT
asir-56700	48	1	this	this	DET
asir-56700	48	2	peculiarity	peculiarity	NOUN
asir-56700	48	3	connected	connect	VERB
asir-56700	48	4	,	,	PUNCT
asir-56700	48	5	as	as	SCONJ
asir-56700	48	6	already	already	ADV
asir-56700	48	7	mentioned	mention	VERB
asir-56700	48	8	,	,	PUNCT
asir-56700	48	9	with	with	ADP
asir-56700	48	10	the	the	DET
asir-56700	48	11	fact	fact	NOUN
asir-56700	48	12	,	,	PUNCT
asir-56700	48	13	that	that	SCONJ
asir-56700	48	14	the	the	DET
asir-56700	48	15	current	current	ADJ
asir-56700	48	16	field	field	NOUN
asir-56700	48	17	,	,	PUNCT
asir-56700	48	18	flowing	flow	VERB
asir-56700	48	19	along	along	ADP
asir-56700	48	20	the	the	DET
asir-56700	48	21	antenna	antenna	NOUN
asir-56700	48	22	,	,	PUNCT
asir-56700	48	23	creates	create	VERB
asir-56700	48	24	in	in	ADP
asir-56700	48	25	the	the	DET
asir-56700	48	26	point	point	NOUN
asir-56700	48	27	of	of	ADP
asir-56700	48	28	the	the	DET
asir-56700	48	29	generator	generator	NOUN
asir-56700	48	30	’s	’s	PART
asir-56700	48	31	location	location	NOUN
asir-56700	48	32	an	an	DET
asir-56700	48	33	additional	additional	ADJ
asir-56700	48	34	emf	emf	NOUN
asir-56700	48	35	,	,	PUNCT
asir-56700	48	36	equal	equal	ADJ
asir-56700	48	37	to	to	ADP
asir-56700	48	38	-χe	-χe	INTJ
asir-56700	48	39	,	,	PUNCT
asir-56700	48	40	which	which	PRON
asir-56700	48	41	excites	excite	VERB
asir-56700	48	42	an	an	DET
asir-56700	48	43	additional	additional	ADJ
asir-56700	48	44	current	current	NOUN
asir-56700	48	45	.	.	PUNCT
asir-56700	49	1	this	this	DET
asir-56700	49	2	fact	fact	NOUN
asir-56700	49	3	allows	allow	VERB
asir-56700	49	4	us	we	PRON
asir-56700	49	5	to	to	PART
asir-56700	49	6	calculate	calculate	VERB
asir-56700	49	7	the	the	DET
asir-56700	49	8	total	total	ADJ
asir-56700	49	9	current	current	NOUN
asir-56700	49	10	(	(	PUNCT
asir-56700	49	11	as	as	ADV
asir-56700	49	12	well	well	ADV
asir-56700	49	13	as	as	ADP
asir-56700	49	14	input	input	NOUN
asir-56700	49	15	impedance	impedance	NOUN
asir-56700	49	16	)	)	PUNCT
asir-56700	49	17	.	.	PUNCT
asir-56700	50	1	the	the	DET
asir-56700	50	2	given	give	VERB
asir-56700	50	3	method	method	NOUN
asir-56700	50	4	permits	permit	NOUN
asir-56700	50	5	to	to	PART
asir-56700	50	6	simplify	simplify	VERB
asir-56700	50	7	calculation	calculation	NOUN
asir-56700	50	8	and	and	CCONJ
asir-56700	50	9	to	to	PART
asir-56700	50	10	refine	refine	VERB
asir-56700	50	11	results	result	NOUN
asir-56700	50	12	.	.	PUNCT
asir-56700	51	1	as	as	SCONJ
asir-56700	51	2	shown	show	VERB
asir-56700	51	3	further	far	ADV
asir-56700	51	4	,	,	PUNCT
asir-56700	51	5	in	in	ADP
asir-56700	51	6	the	the	DET
asir-56700	51	7	case	case	NOUN
asir-56700	51	8	of	of	ADP
asir-56700	51	9	a	a	DET
asir-56700	51	10	loop	loop	NOUN
asir-56700	51	11	antenna	antenna	NOUN
asir-56700	51	12	,	,	PUNCT
asir-56700	51	13	the	the	DET
asir-56700	51	14	analogous	analogous	ADJ
asir-56700	51	15	effect	effect	NOUN
asir-56700	51	16	depends	depend	VERB
asir-56700	51	17	on	on	ADP
asir-56700	51	18	its	its	PRON
asir-56700	51	19	structure	structure	NOUN
asir-56700	51	20	.	.	PUNCT
asir-56700	52	1	3	3	X
asir-56700	52	2	.	.	X
asir-56700	52	3	rectangular	rectangular	ADJ
asir-56700	52	4	loop	loop	NOUN
asir-56700	52	5	antenna	antenna	NOUN
asir-56700	52	6	in	in	ADP
asir-56700	52	7	order	order	NOUN
asir-56700	52	8	to	to	PART
asir-56700	52	9	determine	determine	VERB
asir-56700	52	10	the	the	DET
asir-56700	52	11	current	current	ADJ
asir-56700	52	12	’s	’s	PART
asir-56700	52	13	distribution	distribution	NOUN
asir-56700	52	14	along	along	ADP
asir-56700	52	15	the	the	DET
asir-56700	52	16	antenna	antenna	NOUN
asir-56700	52	17	’s	’s	PART
asir-56700	52	18	conductor	conductor	NOUN
asir-56700	52	19	,	,	PUNCT
asir-56700	52	20	one	one	PRON
asir-56700	52	21	must	must	AUX
asir-56700	52	22	write	write	VERB
asir-56700	52	23	and	and	CCONJ
asir-56700	52	24	solve	solve	VERB
asir-56700	52	25	the	the	DET
asir-56700	52	26	equation	equation	NOUN
asir-56700	52	27	,	,	PUNCT
asir-56700	52	28	in	in	ADP
asir-56700	52	29	accordance	accordance	NOUN
asir-56700	52	30	with	with	ADP
asir-56700	52	31	which	which	PRON
asir-56700	52	32	the	the	DET
asir-56700	52	33	sum	sum	NOUN
asir-56700	52	34	of	of	ADP
asir-56700	52	35	extraneous	extraneous	ADJ
asir-56700	52	36	emf	emf	NOUN
asir-56700	52	37	and	and	CCONJ
asir-56700	52	38	tangential	tangential	ADJ
asir-56700	52	39	components	component	NOUN
asir-56700	52	40	of	of	ADP
asir-56700	52	41	the	the	DET
asir-56700	52	42	currents	current	NOUN
asir-56700	52	43	’	'	PUNCT
asir-56700	52	44	fields	field	NOUN
asir-56700	52	45	is	be	AUX
asir-56700	52	46	equal	equal	ADJ
asir-56700	52	47	to	to	ADP
asir-56700	52	48	zero	zero	NUM
asir-56700	52	49	.	.	PUNCT
asir-56700	53	1	we	we	PRON
asir-56700	53	2	begin	begin	VERB
asir-56700	53	3	from	from	ADP
asir-56700	53	4	a	a	DET
asir-56700	53	5	rectangle	rectangle	NOUN
asir-56700	53	6	loop	loop	NOUN
asir-56700	53	7	antenna	antenna	NOUN
asir-56700	53	8	with	with	ADP
asir-56700	53	9	a	a	DET
asir-56700	53	10	width	width	ADJ
asir-56700	53	11	b	b	NOUN
asir-56700	53	12	and	and	CCONJ
asir-56700	53	13	a	a	DET
asir-56700	53	14	height	height	NOUN
asir-56700	53	15	l	l	NOUN
asir-56700	53	16	(	(	PUNCT
asir-56700	53	17	fig	fig	NOUN
asir-56700	53	18	.	.	PUNCT
asir-56700	54	1	2	2	NUM
asir-56700	54	2	)	)	PUNCT
asir-56700	54	3	.	.	PUNCT
asir-56700	55	1	here	here	ADV
asir-56700	55	2	e	e	NOUN
asir-56700	55	3	is	be	AUX
asir-56700	55	4	extraneous	extraneous	ADJ
asir-56700	55	5	emf	emf	NOUN
asir-56700	55	6	.	.	PUNCT
asir-56700	56	1	the	the	DET
asir-56700	56	2	conductors	conductor	NOUN
asir-56700	56	3	form	form	VERB
asir-56700	56	4	the	the	DET
asir-56700	56	5	two	two	NUM
asir-56700	56	6	-	-	PUNCT
asir-56700	56	7	conductor	conductor	NOUN
asir-56700	56	8	long	long	ADJ
asir-56700	56	9	line	line	NOUN
asir-56700	56	10	,	,	PUNCT
asir-56700	56	11	short	short	ADV
asir-56700	56	12	-	-	PUNCT
asir-56700	56	13	circuited	circuit	VERB
asir-56700	56	14	at	at	ADP
asir-56700	56	15	the	the	DET
asir-56700	56	16	end	end	NOUN
asir-56700	56	17	.	.	PUNCT
asir-56700	57	1	that	that	PRON
asir-56700	57	2	is	be	AUX
asir-56700	57	3	the	the	DET
asir-56700	57	4	generator	generator	NOUN
asir-56700	57	5	’s	’s	PART
asir-56700	57	6	load	load	NOUN
asir-56700	57	7	.	.	PUNCT
asir-56700	58	1	as	as	SCONJ
asir-56700	58	2	seen	see	VERB
asir-56700	58	3	from	from	ADP
asir-56700	58	4	the	the	DET
asir-56700	58	5	figure	figure	NOUN
asir-56700	58	6	,	,	PUNCT
asir-56700	58	7	the	the	DET
asir-56700	58	8	currents	current	NOUN
asir-56700	58	9	of	of	ADP
asir-56700	58	10	the	the	DET
asir-56700	58	11	right	right	NOUN
asir-56700	58	12	and	and	CCONJ
asir-56700	58	13	left	leave	VERB
asir-56700	58	14	branches	branch	NOUN
asir-56700	58	15	have	have	VERB
asir-56700	58	16	in	in	ADP
asir-56700	58	17	symmetrically	symmetrically	ADV
asir-56700	58	18	located	locate	VERB
asir-56700	58	19	points	point	NOUN
asir-56700	58	20	the	the	DET
asir-56700	58	21	same	same	ADJ
asir-56700	58	22	magnitudes	magnitude	NOUN
asir-56700	58	23	.	.	PUNCT
asir-56700	59	1	the	the	DET
asir-56700	59	2	currents	current	NOUN
asir-56700	59	3	along	along	ADP
asir-56700	59	4	the	the	DET
asir-56700	59	5	vertical	vertical	ADJ
asir-56700	59	6	conductor	conductor	NOUN
asir-56700	59	7	and	and	CCONJ
asir-56700	59	8	also	also	ADV
asir-56700	59	9	between	between	ADP
asir-56700	59	10	both	both	DET
asir-56700	59	11	horizontal	horizontal	ADJ
asir-56700	59	12	conductors	conductor	NOUN
asir-56700	59	13	have	have	VERB
asir-56700	59	14	opposite	opposite	ADJ
asir-56700	59	15	directions	direction	NOUN
asir-56700	59	16	.	.	PUNCT
asir-56700	60	1	the	the	DET
asir-56700	60	2	current	current	NOUN
asir-56700	60	3	of	of	ADP
asir-56700	60	4	the	the	DET
asir-56700	60	5	right	right	ADJ
asir-56700	60	6	branch	branch	NOUN
asir-56700	60	7	is	be	AUX
asir-56700	60	8	equal	equal	ADJ
asir-56700	60	9	to	to	ADP
asir-56700	60	10	𝐽1=𝐼0	𝐽1=𝐼0	PUNCT
asir-56700	60	11	{	{	PUNCT
asir-56700	60	12	cos	cos	PROPN
asir-56700	60	13	𝑘𝑥	𝑘𝑥	PROPN
asir-56700	60	14	,	,	PUNCT
asir-56700	60	15	0	0	NUM
asir-56700	60	16	≤	≤	NUM
asir-56700	60	17	𝑥	𝑥	DET
asir-56700	60	18	≤	≤	NUM
asir-56700	60	19	𝑏	𝑏	DET
asir-56700	60	20	2	2	NUM
asir-56700	60	21	,	,	PUNCT
asir-56700	60	22	𝑧	𝑧	NOUN
asir-56700	60	23	=	=	SYM
asir-56700	60	24	𝑙	𝑙	PROPN
asir-56700	60	25	,	,	PUNCT
asir-56700	60	26	cos	cos	PUNCT
asir-56700	61	1	[	[	X
asir-56700	61	2	𝑘	𝑘	X
asir-56700	61	3	(	(	PUNCT
asir-56700	61	4	𝑏	𝑏	PROPN
asir-56700	61	5	2	2	NUM
asir-56700	61	6	+	+	SYM
asir-56700	61	7	𝑙	𝑙	ADP
asir-56700	61	8	−	−	NOUN
asir-56700	61	9	𝑧	𝑧	NOUN
asir-56700	61	10	)	)	PUNCT
asir-56700	61	11	]	]	PUNCT
asir-56700	61	12	,	,	PUNCT
asir-56700	61	13	0	0	NUM
asir-56700	61	14	≤	≤	NUM
asir-56700	61	15	𝑧	𝑧	PRON
asir-56700	61	16	≤	≤	NUM
asir-56700	61	17	𝑙	𝑙	ADJ
asir-56700	61	18	,	,	PUNCT
asir-56700	61	19	𝑥	𝑥	PROPN
asir-56700	61	20	=	=	SYM
asir-56700	61	21	𝑏	𝑏	PROPN
asir-56700	61	22	2	2	NUM
asir-56700	61	23	,	,	PUNCT
asir-56700	61	24	cos[𝑘(𝑏	cos[𝑘(𝑏	NOUN
asir-56700	61	25	+	+	NOUN
asir-56700	61	26	𝑙	𝑙	PROPN
asir-56700	61	27	−	−	NOUN
asir-56700	61	28	𝑥	𝑥	NOUN
asir-56700	61	29	)	)	PUNCT
asir-56700	61	30	]	]	X
asir-56700	61	31	,	,	PUNCT
asir-56700	61	32	0	0	NUM
asir-56700	61	33	≤	≤	NUM
asir-56700	61	34	𝑥	𝑥	DET
asir-56700	61	35	≤	≤	NUM
asir-56700	61	36	𝑏	𝑏	DET
asir-56700	61	37	2	2	NUM
asir-56700	61	38	,	,	PUNCT
asir-56700	61	39	𝑧	𝑧	NOUN
asir-56700	61	40	=	=	NOUN
asir-56700	61	41	0	0	NUM
asir-56700	61	42	.	.	PUNCT
asir-56700	62	1	in	in	ADP
asir-56700	62	2	the	the	DET
asir-56700	62	3	first	first	ADJ
asir-56700	62	4	approximation	approximation	NOUN
asir-56700	62	5	one	one	PRON
asir-56700	62	6	can	can	AUX
asir-56700	62	7	consider	consider	VERB
asir-56700	62	8	that	that	SCONJ
asir-56700	62	9	capacitances	capacitance	NOUN
asir-56700	62	10	per	per	ADP
asir-56700	62	11	unit	unit	NOUN
asir-56700	62	12	length	length	NOUN
asir-56700	62	13	between	between	ADP
asir-56700	62	14	the	the	DET
asir-56700	62	15	vertical	vertical	ADJ
asir-56700	62	16	conductors	conductor	NOUN
asir-56700	62	17	are	be	AUX
asir-56700	62	18	const	const	ADJ
asir-56700	62	19	and	and	CCONJ
asir-56700	62	20	equal	equal	ADJ
asir-56700	62	21	to	to	ADP
asir-56700	62	22	𝐶1	𝐶1	NOUN
asir-56700	62	23	=	=	PUNCT
asir-56700	62	24	𝜋𝜀0	𝜋𝜀0	NOUN
asir-56700	62	25	𝑙𝑛(𝑏/𝑎	𝑙𝑛(𝑏/𝑎	ADV
asir-56700	62	26	)	)	PUNCT
asir-56700	62	27	.	.	PUNCT
asir-56700	63	1	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	PROPN
asir-56700	63	2	applied	apply	VERB
asir-56700	63	3	science	science	NOUN
asir-56700	63	4	and	and	CCONJ
asir-56700	63	5	innovative	innovative	ADJ
asir-56700	63	6	research	research	NOUN
asir-56700	63	7	vol	vol	NOUN
asir-56700	63	8	.	.	PUNCT
asir-56700	64	1	9	9	NUM
asir-56700	64	2	,	,	PUNCT
asir-56700	64	3	no	no	INTJ
asir-56700	64	4	.	.	NOUN
asir-56700	64	5	4	4	NUM
asir-56700	64	6	,	,	PUNCT
asir-56700	64	7	2025	2025	NUM
asir-56700	64	8	50	50	NUM
asir-56700	64	9	published	publish	VERB
asir-56700	64	10	by	by	ADP
asir-56700	64	11	scholink	scholink	PROPN
asir-56700	64	12	inc	inc	PROPN
asir-56700	64	13	.	.	PROPN
asir-56700	64	14	fig	fig	PROPN
asir-56700	64	15	.	.	PUNCT
asir-56700	65	1	2	2	NUM
asir-56700	65	2	.	.	NUM
asir-56700	65	3	rectangular	rectangular	ADJ
asir-56700	65	4	loop	loop	NOUN
asir-56700	65	5	antenna	antenna	NOUN
asir-56700	65	6	in	in	ADP
asir-56700	65	7	this	this	DET
asir-56700	65	8	case	case	NOUN
asir-56700	65	9	the	the	DET
asir-56700	65	10	wave	wave	NOUN
asir-56700	65	11	impedance	impedance	NOUN
asir-56700	65	12	of	of	ADP
asir-56700	65	13	a	a	DET
asir-56700	65	14	line	line	NOUN
asir-56700	65	15	is	be	AUX
asir-56700	65	16	𝑊	𝑊	PROPN
asir-56700	65	17	=	=	PUNCT
asir-56700	65	18	𝜔𝐶1	𝜔𝐶1	PROPN
asir-56700	65	19	=	=	NOUN
asir-56700	65	20	120	120	NUM
asir-56700	65	21	ln(𝑏/𝑎	ln(𝑏/𝑎	NOUN
asir-56700	65	22	)	)	PUNCT
asir-56700	65	23	,	,	PUNCT
asir-56700	65	24	the	the	DET
asir-56700	65	25	input	input	NOUN
asir-56700	65	26	impedance	impedance	NOUN
asir-56700	65	27	of	of	ADP
asir-56700	65	28	an	an	DET
asir-56700	65	29	antenna	antenna	NOUN
asir-56700	65	30	is	be	AUX
asir-56700	65	31	𝑍𝐴	𝑍𝐴	PROPN
asir-56700	65	32	=	=	PUNCT
asir-56700	65	33	𝑗𝑊	𝑗𝑊	PROPN
asir-56700	65	34	tan	tan	PROPN
asir-56700	65	35	𝑘𝐿	𝑘𝐿	NOUN
asir-56700	65	36	+	+	CCONJ
asir-56700	66	1	𝑅ς	𝑅ς	ADP
asir-56700	66	2	,	,	PUNCT
asir-56700	66	3	where	where	SCONJ
asir-56700	66	4	𝐿	𝐿	PROPN
asir-56700	66	5	=	=	PROPN
asir-56700	66	6	𝑙	𝑙	PROPN
asir-56700	66	7	+	+	NUM
asir-56700	66	8	𝑏	𝑏	NOUN
asir-56700	66	9	,	,	PUNCT
asir-56700	66	10	𝑅ς	𝑅ς	PROPN
asir-56700	66	11	is	be	AUX
asir-56700	66	12	the	the	DET
asir-56700	66	13	radiation	radiation	NOUN
asir-56700	66	14	resistance	resistance	NOUN
asir-56700	66	15	.	.	PUNCT
asir-56700	67	1	the	the	DET
asir-56700	67	2	input	input	NOUN
asir-56700	67	3	current	current	PROPN
asir-56700	67	4	’s	’s	PART
asir-56700	67	5	magnitude	magnitude	NOUN
asir-56700	67	6	of	of	ADP
asir-56700	67	7	each	each	DET
asir-56700	67	8	conductor	conductor	NOUN
asir-56700	67	9	’s	’s	PART
asir-56700	67	10	current	current	NOUN
asir-56700	67	11	is	be	AUX
asir-56700	67	12	equal	equal	ADJ
asir-56700	67	13	to	to	ADP
asir-56700	67	14	𝐽𝐴	𝐽𝐴	PROPN
asir-56700	67	15	=	=	SYM
asir-56700	67	16	𝐽0	𝐽0	NOUN
asir-56700	67	17	cos	cos	PROPN
asir-56700	67	18	𝑘𝐿	𝑘𝐿	PROPN
asir-56700	67	19	–	–	PUNCT
asir-56700	67	20	in	in	ADP
asir-56700	67	21	the	the	DET
asir-56700	67	22	total	total	ADJ
asir-56700	67	23	agreement	agreement	NOUN
asir-56700	67	24	with	with	ADP
asir-56700	67	25	obtained	obtain	VERB
asir-56700	67	26	results	result	NOUN
asir-56700	67	27	.	.	PUNCT
asir-56700	68	1	these	these	DET
asir-56700	68	2	expressions	expression	NOUN
asir-56700	68	3	are	be	AUX
asir-56700	68	4	similar	similar	ADJ
asir-56700	68	5	to	to	ADP
asir-56700	68	6	expressions	expression	NOUN
asir-56700	68	7	for	for	ADP
asir-56700	68	8	the	the	DET
asir-56700	68	9	straight	straight	ADJ
asir-56700	68	10	linear	linear	ADJ
asir-56700	68	11	radiator	radiator	NOUN
asir-56700	68	12	.	.	PUNCT
asir-56700	69	1	if	if	SCONJ
asir-56700	69	2	to	to	PART
asir-56700	69	3	take	take	VERB
asir-56700	69	4	into	into	ADP
asir-56700	69	5	account	account	NOUN
asir-56700	69	6	the	the	DET
asir-56700	69	7	difference	difference	NOUN
asir-56700	69	8	between	between	ADP
asir-56700	69	9	sections	section	NOUN
asir-56700	69	10	of	of	ADP
asir-56700	69	11	a	a	DET
asir-56700	69	12	long	long	ADJ
asir-56700	69	13	line	line	NOUN
asir-56700	69	14	,	,	PUNCT
asir-56700	69	15	we	we	PRON
asir-56700	69	16	will	will	AUX
asir-56700	69	17	obtain	obtain	VERB
asir-56700	69	18	expressions	expression	NOUN
asir-56700	69	19	,	,	PUNCT
asir-56700	69	20	similar	similar	ADJ
asir-56700	69	21	to	to	ADP
asir-56700	69	22	expression	expression	NOUN
asir-56700	69	23	for	for	ADP
asir-56700	69	24	the	the	DET
asir-56700	69	25	straight	straight	ADJ
asir-56700	69	26	radiator	radiator	NOUN
asir-56700	69	27	,	,	PUNCT
asir-56700	69	28	consisting	consist	VERB
asir-56700	69	29	of	of	ADP
asir-56700	69	30	sections	section	NOUN
asir-56700	69	31	with	with	ADP
asir-56700	69	32	different	different	ADJ
asir-56700	69	33	parameters	parameter	NOUN
asir-56700	69	34	.	.	PUNCT
asir-56700	70	1	the	the	DET
asir-56700	70	2	currents	current	NOUN
asir-56700	70	3	of	of	ADP
asir-56700	70	4	antenna	antenna	NOUN
asir-56700	70	5	’s	’s	PART
asir-56700	70	6	branches	branch	NOUN
asir-56700	70	7	radiate	radiate	VERB
asir-56700	70	8	the	the	DET
asir-56700	70	9	fields	field	NOUN
asir-56700	70	10	,	,	PUNCT
asir-56700	70	11	which	which	PRON
asir-56700	70	12	created	create	VERB
asir-56700	70	13	the	the	DET
asir-56700	70	14	additional	additional	ADJ
asir-56700	70	15	emf	emf	NOUN
asir-56700	70	16	and	and	CCONJ
asir-56700	70	17	the	the	DET
asir-56700	70	18	additional	additional	ADJ
asir-56700	70	19	currents	current	NOUN
asir-56700	70	20	.	.	PUNCT
asir-56700	71	1	each	each	DET
asir-56700	71	2	current	current	NOUN
asir-56700	71	3	is	be	AUX
asir-56700	71	4	the	the	DET
asir-56700	71	5	field	field	NOUN
asir-56700	71	6	’s	’s	PART
asir-56700	71	7	source	source	NOUN
asir-56700	71	8	,	,	PUNCT
asir-56700	71	9	but	but	CCONJ
asir-56700	71	10	vertical	vertical	ADJ
asir-56700	71	11	conductors	conductor	NOUN
asir-56700	71	12	,	,	PUNCT
asir-56700	71	13	located	locate	VERB
asir-56700	71	14	symmetrically	symmetrically	ADV
asir-56700	71	15	,	,	PUNCT
asir-56700	71	16	compensate	compensate	VERB
asir-56700	71	17	one	one	NUM
asir-56700	71	18	another	another	DET
asir-56700	71	19	in	in	ADP
asir-56700	71	20	all	all	DET
asir-56700	71	21	points	point	NOUN
asir-56700	71	22	,	,	PUNCT
asir-56700	71	23	including	include	VERB
asir-56700	71	24	the	the	DET
asir-56700	71	25	points	point	NOUN
asir-56700	71	26	of	of	ADP
asir-56700	71	27	a	a	DET
asir-56700	71	28	lower	low	ADJ
asir-56700	71	29	horizontal	horizontal	ADJ
asir-56700	71	30	line	line	NOUN
asir-56700	71	31	.	.	PUNCT
asir-56700	72	1	the	the	DET
asir-56700	72	2	currents	current	NOUN
asir-56700	72	3	of	of	ADP
asir-56700	72	4	two	two	NUM
asir-56700	72	5	upper	upper	ADJ
asir-56700	72	6	horizontal	horizontal	ADJ
asir-56700	72	7	wires	wire	NOUN
asir-56700	72	8	create	create	VERB
asir-56700	72	9	in	in	ADP
asir-56700	72	10	the	the	DET
asir-56700	72	11	lower	low	ADJ
asir-56700	72	12	horizontal	horizontal	ADJ
asir-56700	72	13	wire	wire	NOUN
asir-56700	72	14	,	,	PUNCT
asir-56700	72	15	located	locate	VERB
asir-56700	72	16	𝐸1	𝐸1	NOUN
asir-56700	72	17	=	=	PUNCT
asir-56700	72	18	−𝑗60	−𝑗60	PUNCT
asir-56700	72	19	𝐽0𝑒	𝐽0𝑒	NOUN
asir-56700	72	20	−𝑗𝑘𝑙	−𝑗𝑘𝑙	NOUN
asir-56700	72	21	𝑘𝑙	𝑘𝑙	PRON
asir-56700	72	22	∫	∫	PROPN
asir-56700	72	23	cos	cos	PROPN
asir-56700	72	24	𝑘𝑥𝑑𝑥.	𝑘𝑥𝑑𝑥.	PROPN
asir-56700	72	25	𝑏/2	𝑏/2	NUM
asir-56700	72	26	0	0	PUNCT
asir-56700	73	1	the	the	DET
asir-56700	73	2	extraneous	extraneous	ADJ
asir-56700	73	3	emf	emf	NOUN
asir-56700	73	4	on	on	ADP
asir-56700	73	5	the	the	DET
asir-56700	73	6	antenna	antenna	NOUN
asir-56700	73	7	’s	’s	PART
asir-56700	73	8	input	input	NOUN
asir-56700	73	9	is	be	AUX
asir-56700	73	10	equal	equal	ADJ
asir-56700	73	11	to	to	ADP
asir-56700	73	12	𝐾𝑒	𝐾𝑒	PROPN
asir-56700	73	13	=	=	PUNCT
asir-56700	73	14	𝐽𝐴𝑍𝐴	𝐽𝐴𝑍𝐴	PROPN
asir-56700	74	1	=	=	PUNCT
asir-56700	74	2	𝐽0(𝑗𝑊	𝐽0(𝑗𝑊	VERB
asir-56700	74	3	sin	sin	NOUN
asir-56700	74	4	𝑘𝐿	𝑘𝐿	NOUN
asir-56700	74	5	+	+	CCONJ
asir-56700	75	1	𝑅ς	𝑅ς	PROPN
asir-56700	75	2	cos	cos	ADP
asir-56700	75	3	𝑘𝐿	𝑘𝐿	NOUN
asir-56700	75	4	)	)	PUNCT
asir-56700	75	5	,	,	PUNCT
asir-56700	76	1	i.e.	i.e.	X
asir-56700	76	2	𝐸1	𝐸1	NOUN
asir-56700	76	3	𝐾𝑒	𝐾𝑒	PROPN
asir-56700	76	4	=	=	PUNCT
asir-56700	76	5	−60	−60	NOUN
asir-56700	76	6	𝑒𝑥𝑝(−𝑗𝑘𝑙	𝑒𝑥𝑝(−𝑗𝑘𝑙	NOUN
asir-56700	76	7	)	)	PUNCT
asir-56700	76	8	sin	sin	NOUN
asir-56700	76	9	(	(	PUNCT
asir-56700	76	10	𝑘𝑏	𝑘𝑏	NOUN
asir-56700	76	11	2	2	X
asir-56700	76	12	)	)	PUNCT
asir-56700	76	13	𝑘𝐿(𝑊	𝑘𝐿(𝑊	PROPN
asir-56700	76	14	sin	sin	PROPN
asir-56700	76	15	𝑘𝐿	𝑘𝐿	PROPN
asir-56700	76	16	−	−	NOUN
asir-56700	76	17	𝑗	𝑗	INTJ
asir-56700	76	18	𝑅ς	𝑅ς	PROPN
asir-56700	76	19	cos	cos	PROPN
asir-56700	76	20	𝑘𝐿	𝑘𝐿	NOUN
asir-56700	76	21	)	)	PUNCT
asir-56700	76	22	.	.	PUNCT
asir-56700	77	1	as	as	SCONJ
asir-56700	77	2	follows	follow	VERB
asir-56700	77	3	from	from	ADP
asir-56700	77	4	this	this	DET
asir-56700	77	5	result	result	NOUN
asir-56700	77	6	,	,	PUNCT
asir-56700	77	7	each	each	DET
asir-56700	77	8	emf	emf	NOUN
asir-56700	77	9	creates	create	VERB
asir-56700	77	10	additional	additional	ADJ
asir-56700	77	11	currents	current	NOUN
asir-56700	77	12	and	and	CCONJ
asir-56700	77	13	additional	additional	ADJ
asir-56700	77	14	emfs	emfs	NOUN
asir-56700	77	15	,	,	PUNCT
asir-56700	77	16	forming	form	VERB
asir-56700	77	17	the	the	DET
asir-56700	77	18	infinite	infinite	ADJ
asir-56700	77	19	geometric	geometric	ADJ
asir-56700	77	20	progression	progression	NOUN
asir-56700	77	21	,	,	PUNCT
asir-56700	77	22	similar	similar	ADJ
asir-56700	77	23	to	to	ADP
asir-56700	77	24	progression	progression	NOUN
asir-56700	77	25	for	for	ADP
asir-56700	77	26	emf	emf	NOUN
asir-56700	77	27	and	and	CCONJ
asir-56700	77	28	current	current	NOUN
asir-56700	77	29	of	of	ADP
asir-56700	77	30	a	a	DET
asir-56700	77	31	linear	linear	ADJ
asir-56700	77	32	radiator	radiator	NOUN
asir-56700	77	33	.	.	PUNCT
asir-56700	78	1	but	but	CCONJ
asir-56700	78	2	at	at	ADP
asir-56700	78	3	first	first	ADV
asir-56700	78	4	it	it	PRON
asir-56700	78	5	is	be	AUX
asir-56700	78	6	need	need	ADJ
asir-56700	78	7	to	to	PART
asir-56700	78	8	determine	determine	VERB
asir-56700	78	9	the	the	DET
asir-56700	78	10	radiation	radiation	NOUN
asir-56700	78	11	’s	’s	PART
asir-56700	78	12	resistance	resistance	NOUN
asir-56700	78	13	.	.	PUNCT
asir-56700	79	1	since	since	SCONJ
asir-56700	79	2	the	the	DET
asir-56700	79	3	power	power	NOUN
asir-56700	79	4	,	,	PUNCT
asir-56700	79	5	radiated	radiate	VERB
asir-56700	79	6	by	by	ADP
asir-56700	79	7	a	a	DET
asir-56700	79	8	left	left	ADJ
asir-56700	79	9	branch	branch	NOUN
asir-56700	79	10	of	of	ADP
asir-56700	79	11	rectangular	rectangular	ADJ
asir-56700	79	12	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-56700	79	13	applied	apply	VERB
asir-56700	79	14	science	science	NOUN
asir-56700	79	15	and	and	CCONJ
asir-56700	79	16	innovative	innovative	ADJ
asir-56700	79	17	research	research	NOUN
asir-56700	79	18	vol	vol	NOUN
asir-56700	79	19	.	.	PUNCT
asir-56700	80	1	9	9	NUM
asir-56700	80	2	,	,	PUNCT
asir-56700	80	3	no	no	INTJ
asir-56700	80	4	.	.	NOUN
asir-56700	80	5	4	4	NUM
asir-56700	80	6	,	,	PUNCT
asir-56700	80	7	2025	2025	NUM
asir-56700	80	8	51	51	NUM
asir-56700	80	9	published	publish	VERB
asir-56700	80	10	by	by	ADP
asir-56700	80	11	scholink	scholink	PROPN
asir-56700	80	12	inc	inc	PROPN
asir-56700	80	13	.	.	PROPN
asir-56700	80	14	antenna	antenna	PROPN
asir-56700	80	15	to	to	ADP
asir-56700	80	16	right	right	ADV
asir-56700	80	17	in	in	ADP
asir-56700	80	18	its	its	PRON
asir-56700	80	19	plane	plane	NOUN
asir-56700	80	20	,	,	PUNCT
asir-56700	80	21	along	along	ADP
asir-56700	80	22	axis	axis	NOUN
asir-56700	81	1	x	x	X
asir-56700	81	2	,	,	PUNCT
asir-56700	81	3	is	be	AUX
asir-56700	81	4	negligible	negligible	ADJ
asir-56700	81	5	in	in	ADP
asir-56700	81	6	comparison	comparison	NOUN
asir-56700	81	7	with	with	ADP
asir-56700	81	8	the	the	DET
asir-56700	81	9	power	power	NOUN
asir-56700	81	10	,	,	PUNCT
asir-56700	81	11	radiator	radiator	NOUN
asir-56700	81	12	by	by	ADP
asir-56700	81	13	the	the	DET
asir-56700	81	14	right	right	ADJ
asir-56700	81	15	branch	branch	NOUN
asir-56700	81	16	,	,	PUNCT
asir-56700	81	17	one	one	PRON
asir-56700	81	18	can	can	AUX
asir-56700	81	19	to	to	PART
asir-56700	81	20	consider	consider	VERB
asir-56700	81	21	,	,	PUNCT
asir-56700	81	22	that	that	SCONJ
asir-56700	81	23	the	the	DET
asir-56700	81	24	antenna	antenna	NOUN
asir-56700	81	25	’s	’s	PART
asir-56700	81	26	effective	effective	ADJ
asir-56700	81	27	length	length	NOUN
asir-56700	81	28	is	be	AUX
asir-56700	81	29	equal	equal	ADJ
asir-56700	81	30	to	to	ADP
asir-56700	81	31	the	the	DET
asir-56700	81	32	effective	effective	ADJ
asir-56700	81	33	length	length	NOUN
asir-56700	81	34	of	of	ADP
asir-56700	81	35	the	the	DET
asir-56700	81	36	right	right	ADJ
asir-56700	81	37	branch	branch	NOUN
asir-56700	82	1	ℎ𝑒	ℎ𝑒	NOUN
asir-56700	82	2	=	=	NOUN
asir-56700	82	3	1	1	NUM
asir-56700	82	4	cos(𝑘𝑏/2	cos(𝑘𝑏/2	NOUN
asir-56700	82	5	)	)	PUNCT
asir-56700	82	6	∫	∫	PROPN
asir-56700	82	7	cos	cos	PROPN
asir-56700	82	8	𝑘𝑧𝑑𝑧	𝑘𝑧𝑑𝑧	PROPN
asir-56700	82	9	,	,	PUNCT
asir-56700	82	10	𝑙	𝑙	PROPN
asir-56700	82	11	0	0	NUM
asir-56700	82	12	and	and	CCONJ
asir-56700	82	13	the	the	DET
asir-56700	82	14	radiation	radiation	NOUN
asir-56700	82	15	’s	’s	PART
asir-56700	82	16	resistance	resistance	NOUN
asir-56700	82	17	is	be	AUX
asir-56700	82	18	equal	equal	ADJ
asir-56700	82	19	to	to	ADP
asir-56700	82	20	20𝑘2ℎ𝑒	20𝑘2ℎ𝑒	NOUN
asir-56700	82	21	2	2	NUM
asir-56700	82	22	.	.	PUNCT
asir-56700	83	1	in	in	ADP
asir-56700	83	2	the	the	DET
asir-56700	83	3	given	give	VERB
asir-56700	83	4	case	case	NOUN
asir-56700	83	5	the	the	DET
asir-56700	83	6	geometric	geometric	ADJ
asir-56700	83	7	progression	progression	NOUN
asir-56700	83	8	is	be	AUX
asir-56700	83	9	infinitely	infinitely	ADV
asir-56700	83	10	descending	descend	VERB
asir-56700	83	11	,	,	PUNCT
asir-56700	83	12	has	have	VERB
asir-56700	83	13	the	the	DET
asir-56700	83	14	first	first	ADJ
asir-56700	83	15	term	term	NOUN
asir-56700	83	16	𝑎1	𝑎1	PROPN
asir-56700	83	17	=	=	SYM
asir-56700	83	18	𝐾𝑒	𝐾𝑒	PROPN
asir-56700	83	19	,	,	PUNCT
asir-56700	83	20	the	the	DET
asir-56700	83	21	denominator	denominator	NOUN
asir-56700	83	22	is	be	AUX
asir-56700	83	23	𝑞	𝑞	X
asir-56700	83	24	=	=	PUNCT
asir-56700	83	25	𝐸1	𝐸1	PROPN
asir-56700	83	26	𝐾𝑒⁄	𝐾𝑒⁄	NOUN
asir-56700	83	27	,	,	PUNCT
asir-56700	83	28	and	and	CCONJ
asir-56700	83	29	the	the	DET
asir-56700	83	30	sum	sum	NOUN
asir-56700	83	31	of	of	ADP
asir-56700	83	32	currents	current	NOUN
asir-56700	83	33	’	'	PUNCT
asir-56700	83	34	series	series	NOUN
asir-56700	83	35	tends	tend	VERB
asir-56700	83	36	to	to	PART
asir-56700	83	37	limit	limit	VERB
asir-56700	83	38	,	,	PUNCT
asir-56700	83	39	equal	equal	ADJ
asir-56700	83	40	to	to	ADP
asir-56700	83	41	𝑎1	𝑎1	PROPN
asir-56700	83	42	1−𝑞	1−𝑞	NUM
asir-56700	83	43	=	=	SYM
asir-56700	84	1	𝐾𝑒	𝐾𝑒	PROPN
asir-56700	84	2	1−𝐸1/𝐾𝑒	1−𝐸1/𝐾𝑒	PROPN
asir-56700	84	3	.	.	PUNCT
asir-56700	85	1	obtained	obtain	VERB
asir-56700	85	2	results	result	NOUN
asir-56700	85	3	practically	practically	ADV
asir-56700	85	4	correspond	correspond	VERB
asir-56700	85	5	to	to	ADP
asir-56700	85	6	derivation	derivation	NOUN
asir-56700	85	7	and	and	CCONJ
asir-56700	85	8	solution	solution	NOUN
asir-56700	85	9	of	of	ADP
asir-56700	85	10	the	the	DET
asir-56700	85	11	integral	integral	ADJ
asir-56700	85	12	equation	equation	NOUN
asir-56700	85	13	for	for	ADP
asir-56700	85	14	the	the	DET
asir-56700	85	15	rectangular	rectangular	ADJ
asir-56700	85	16	loop	loop	NOUN
asir-56700	85	17	antenna	antenna	NOUN
asir-56700	85	18	.	.	PUNCT
asir-56700	86	1	4	4	X
asir-56700	86	2	.	.	X
asir-56700	86	3	circular	circular	ADJ
asir-56700	86	4	loop	loop	NOUN
asir-56700	86	5	antenna	antenna	NOUN
asir-56700	86	6	the	the	DET
asir-56700	86	7	symmetrical	symmetrical	ADJ
asir-56700	86	8	circular	circular	ADJ
asir-56700	86	9	loop	loop	NOUN
asir-56700	86	10	antenna	antenna	NOUN
asir-56700	86	11	is	be	AUX
asir-56700	86	12	given	give	VERB
asir-56700	86	13	in	in	ADP
asir-56700	86	14	fig	fig	NOUN
asir-56700	86	15	.	.	PUNCT
asir-56700	87	1	3	3	X
asir-56700	87	2	.	.	X
asir-56700	87	3	first	first	ADV
asir-56700	87	4	of	of	ADP
asir-56700	87	5	all	all	PRON
asir-56700	87	6	,	,	PUNCT
asir-56700	87	7	in	in	ADP
asir-56700	87	8	this	this	DET
asir-56700	87	9	case	case	NOUN
asir-56700	87	10	one	one	PRON
asir-56700	87	11	must	must	AUX
asir-56700	87	12	to	to	PART
asir-56700	87	13	use	use	VERB
asir-56700	87	14	other	other	ADJ
asir-56700	87	15	antenna	antenna	NOUN
asir-56700	87	16	’s	’s	PART
asir-56700	87	17	elements	element	NOUN
asir-56700	87	18	.	.	PUNCT
asir-56700	88	1	this	this	DET
asir-56700	88	2	element	element	NOUN
asir-56700	88	3	is	be	AUX
asir-56700	88	4	inductance	inductance	NOUN
asir-56700	88	5	per	per	ADP
asir-56700	88	6	unit	unit	NOUN
asir-56700	88	7	length	length	NOUN
asir-56700	88	8	of	of	ADP
asir-56700	88	9	conductor	conductor	NOUN
asir-56700	88	10	λ	λ	NOUN
asir-56700	88	11	=	=	SYM
asir-56700	88	12	𝜇0𝑙	𝜇0𝑙	X
asir-56700	88	13	2𝜋	2𝜋	NOUN
asir-56700	88	14	(	(	PUNCT
asir-56700	88	15	ln	ln	NOUN
asir-56700	88	16	2𝐿	2𝐿	PROPN
asir-56700	89	1	𝑎	𝑎	PRON
asir-56700	89	2	−	−	NOUN
asir-56700	89	3	1	1	NUM
asir-56700	89	4	)	)	PUNCT
asir-56700	89	5	.	.	PUNCT
asir-56700	90	1	here	here	ADV
asir-56700	90	2	a	a	PRON
asir-56700	90	3	is	be	AUX
asir-56700	90	4	conductor	conductor	NOUN
asir-56700	90	5	’s	’s	PART
asir-56700	90	6	radius	radius	NOUN
asir-56700	90	7	.	.	PUNCT
asir-56700	91	1	and	and	CCONJ
asir-56700	91	2	the	the	DET
asir-56700	91	3	extraneous	extraneous	ADJ
asir-56700	91	4	emf	emf	NOUN
asir-56700	91	5	in	in	ADP
asir-56700	91	6	this	this	DET
asir-56700	91	7	case	case	NOUN
asir-56700	91	8	is	be	AUX
asir-56700	91	9	equal	equal	ADJ
asir-56700	91	10	to	to	ADP
asir-56700	91	11	𝐾𝑒=𝐽𝐴(𝑗𝜔λ	𝐾𝑒=𝐽𝐴(𝑗𝜔λ	NOUN
asir-56700	91	12	tan	tan	ADJ
asir-56700	91	13	𝑘𝐿	𝑘𝐿	NOUN
asir-56700	91	14	+	+	CCONJ
asir-56700	91	15	𝑅ς	𝑅ς	VERB
asir-56700	91	16	)	)	PUNCT
asir-56700	91	17	.	.	PUNCT
asir-56700	92	1	the	the	DET
asir-56700	92	2	currents	current	NOUN
asir-56700	92	3	of	of	ADP
asir-56700	92	4	the	the	DET
asir-56700	92	5	antenna	antenna	NOUN
asir-56700	92	6	’s	’s	PART
asir-56700	92	7	conductors	conductor	NOUN
asir-56700	92	8	create	create	VERB
asir-56700	92	9	the	the	DET
asir-56700	92	10	fields	field	NOUN
asir-56700	92	11	in	in	ADP
asir-56700	92	12	opposite	opposite	ADJ
asir-56700	92	13	conductors	conductor	NOUN
asir-56700	92	14	.	.	PUNCT
asir-56700	93	1	in	in	ADP
asir-56700	93	2	particular	particular	ADJ
asir-56700	93	3	,	,	PUNCT
asir-56700	93	4	the	the	DET
asir-56700	93	5	current	current	NOUN
asir-56700	93	6	of	of	ADP
asir-56700	93	7	an	an	DET
asir-56700	93	8	arc	arc	NOUN
asir-56700	93	9	,	,	PUNCT
asir-56700	93	10	located	locate	VERB
asir-56700	93	11	in	in	ADP
asir-56700	93	12	the	the	DET
asir-56700	93	13	left	left	ADJ
asir-56700	93	14	upper	upper	ADJ
asir-56700	93	15	quarter	quarter	NOUN
asir-56700	93	16	,	,	PUNCT
asir-56700	93	17	creates	create	VERB
asir-56700	93	18	the	the	DET
asir-56700	93	19	field	field	NOUN
asir-56700	93	20	in	in	ADP
asir-56700	93	21	the	the	DET
asir-56700	93	22	right	right	ADV
asir-56700	93	23	lower	low	ADJ
asir-56700	93	24	quarter	quarter	NOUN
asir-56700	93	25	.	.	PUNCT
asir-56700	94	1	the	the	DET
asir-56700	94	2	identical	identical	ADJ
asir-56700	94	3	current	current	NOUN
asir-56700	94	4	of	of	ADP
asir-56700	94	5	an	an	DET
asir-56700	94	6	arc	arc	NOUN
asir-56700	94	7	,	,	PUNCT
asir-56700	94	8	fig	fig	NOUN
asir-56700	94	9	.	.	PUNCT
asir-56700	95	1	3	3	X
asir-56700	95	2	.	.	X
asir-56700	95	3	circular	circular	ADJ
asir-56700	95	4	loop	loop	NOUN
asir-56700	95	5	antenna	antenna	NOUN
asir-56700	95	6	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-56700	95	7	applied	apply	VERB
asir-56700	95	8	science	science	NOUN
asir-56700	95	9	and	and	CCONJ
asir-56700	95	10	innovative	innovative	ADJ
asir-56700	95	11	research	research	NOUN
asir-56700	95	12	vol	vol	NOUN
asir-56700	95	13	.	.	PUNCT
asir-56700	96	1	9	9	NUM
asir-56700	96	2	,	,	PUNCT
asir-56700	96	3	no	no	INTJ
asir-56700	96	4	.	.	NOUN
asir-56700	96	5	4	4	NUM
asir-56700	96	6	,	,	PUNCT
asir-56700	96	7	2025	2025	NUM
asir-56700	96	8	52	52	NUM
asir-56700	96	9	published	publish	VERB
asir-56700	96	10	by	by	ADP
asir-56700	96	11	scholink	scholink	PROPN
asir-56700	96	12	inc	inc	PROPN
asir-56700	96	13	.	.	PROPN
asir-56700	96	14	located	locate	VERB
asir-56700	96	15	in	in	ADP
asir-56700	96	16	the	the	DET
asir-56700	96	17	right	right	ADJ
asir-56700	96	18	upper	upper	ADJ
asir-56700	96	19	quarter	quarter	NOUN
asir-56700	96	20	,	,	PUNCT
asir-56700	96	21	creates	create	VERB
asir-56700	96	22	the	the	DET
asir-56700	96	23	same	same	ADJ
asir-56700	96	24	field	field	NOUN
asir-56700	96	25	in	in	ADP
asir-56700	96	26	the	the	DET
asir-56700	96	27	left	left	NOUN
asir-56700	96	28	lower	low	ADJ
asir-56700	96	29	quarter	quarter	NOUN
asir-56700	96	30	(	(	PUNCT
asir-56700	96	31	on	on	ADP
asir-56700	96	32	the	the	DET
asir-56700	96	33	distance	distance	NOUN
asir-56700	96	34	2r	2r	NUM
asir-56700	96	35	)	)	PUNCT
asir-56700	96	36	.	.	PUNCT
asir-56700	97	1	the	the	DET
asir-56700	97	2	total	total	ADJ
asir-56700	97	3	field	field	NOUN
asir-56700	97	4	is	be	AUX
asir-56700	97	5	equal	equal	ADJ
asir-56700	97	6	to	to	ADP
asir-56700	97	7	𝐸2	𝐸2	PROPN
asir-56700	97	8	=	=	PUNCT
asir-56700	97	9	60𝐽0	60𝐽0	NUM
asir-56700	97	10	𝑗2𝑘𝑅	𝑗2𝑘𝑅	NOUN
asir-56700	97	11	𝑒−𝑗2𝑘𝑅∫	𝑒−𝑗2𝑘𝑅∫	NUM
asir-56700	97	12	cos	cos	NOUN
asir-56700	97	13	𝑘𝑅𝜃𝑑𝜃	𝑘𝑅𝜃𝑑𝜃	PROPN
asir-56700	97	14	=	=	PUNCT
asir-56700	97	15	𝜋	𝜋	NOUN
asir-56700	97	16	2	2	NUM
asir-56700	97	17	0	0	NUM
asir-56700	97	18	30𝐽0	30𝐽0	NUM
asir-56700	97	19	sin	sin	NOUN
asir-56700	97	20	(	(	PUNCT
asir-56700	97	21	𝑘𝑅𝜋	𝑘𝑅𝜋	NOUN
asir-56700	97	22	2	2	NUM
asir-56700	97	23	)	)	PUNCT
asir-56700	97	24	𝑗𝑘2𝑅2	𝑗𝑘2𝑅2	NOUN
asir-56700	97	25	𝑒−𝑗2𝑘𝑅.	𝑒−𝑗2𝑘𝑅.	VERB
asir-56700	97	26	the	the	DET
asir-56700	97	27	currents	current	NOUN
asir-56700	97	28	’	'	PUNCT
asir-56700	97	29	fields	field	NOUN
asir-56700	97	30	create	create	VERB
asir-56700	97	31	an	an	DET
asir-56700	97	32	additional	additional	ADJ
asir-56700	97	33	emf	emf	NOUN
asir-56700	97	34	,	,	PUNCT
asir-56700	97	35	which	which	PRON
asir-56700	97	36	reduces	reduce	VERB
asir-56700	97	37	the	the	DET
asir-56700	97	38	extraneous	extraneous	ADJ
asir-56700	97	39	emf	emf	NOUN
asir-56700	97	40	.	.	PUNCT
asir-56700	98	1	this	this	DET
asir-56700	98	2	result	result	NOUN
asir-56700	98	3	coincides	coincide	VERB
asir-56700	98	4	with	with	ADP
asir-56700	98	5	the	the	DET
asir-56700	98	6	results	result	NOUN
asir-56700	98	7	,	,	PUNCT
asir-56700	98	8	obtained	obtain	VERB
asir-56700	98	9	for	for	ADP
asir-56700	98	10	rectangular	rectangular	ADJ
asir-56700	98	11	loop	loop	NOUN
asir-56700	98	12	antenna	antenna	NOUN
asir-56700	98	13	and	and	CCONJ
asir-56700	98	14	brings	bring	VERB
asir-56700	98	15	to	to	ADP
asir-56700	98	16	the	the	DET
asir-56700	98	17	infinitely	infinitely	ADV
asir-56700	98	18	descending	descend	VERB
asir-56700	98	19	geometric	geometric	ADJ
asir-56700	98	20	progression	progression	NOUN
asir-56700	98	21	with	with	ADP
asir-56700	98	22	denominator	denominator	NOUN
asir-56700	98	23	𝑞	𝑞	PROPN
asir-56700	98	24	=	=	PROPN
asir-56700	98	25	𝐸2	𝐸2	PROPN
asir-56700	98	26	𝐾𝑒	𝐾𝑒	PROPN
asir-56700	98	27	=	=	PRON
asir-56700	98	28	=	=	SYM
asir-56700	98	29	−	−	PROPN
asir-56700	98	30	30	30	NUM
asir-56700	98	31	sin	sin	NOUN
asir-56700	98	32	(	(	PUNCT
asir-56700	98	33	𝑘𝑅𝜋	𝑘𝑅𝜋	NOUN
asir-56700	98	34	2	2	NUM
asir-56700	98	35	)	)	PUNCT
asir-56700	98	36	𝑒−𝑗2𝑘𝑅	𝑒−𝑗2𝑘𝑅	PROPN
asir-56700	98	37	𝑘2𝑅2	𝑘2𝑅2	PROPN
asir-56700	98	38	(	(	PUNCT
asir-56700	98	39	𝜔λ	𝜔λ	ADP
asir-56700	98	40	tan	tan	PROPN
asir-56700	98	41	𝑘𝐿	𝑘𝐿	PROPN
asir-56700	98	42	−	−	PROPN
asir-56700	98	43	𝑗𝑅ς)cos	𝑗𝑅ς)co	NOUN
asir-56700	98	44	𝑘𝐿	𝑘𝐿	NOUN
asir-56700	98	45	,	,	PUNCT
asir-56700	98	46	i.e.	i.e.	X
asir-56700	98	47	,	,	PUNCT
asir-56700	98	48	the	the	DET
asir-56700	98	49	total	total	ADJ
asir-56700	98	50	sum	sum	NOUN
asir-56700	98	51	of	of	ADP
asir-56700	98	52	series	series	NOUN
asir-56700	98	53	is	be	AUX
asir-56700	98	54	𝑎1	𝑎1	PRON
asir-56700	98	55	1−𝑞	1−𝑞	NUM
asir-56700	99	1	=	=	SYM
asir-56700	99	2	𝐾𝑒	𝐾𝑒	PROPN
asir-56700	99	3	1−𝐸2/𝐾𝑒	1−𝐸2/𝐾𝑒	NOUN
asir-56700	99	4	.	.	PUNCT
asir-56700	100	1	as	as	SCONJ
asir-56700	100	2	it	it	PRON
asir-56700	100	3	is	be	AUX
asir-56700	100	4	seen	see	VERB
asir-56700	100	5	from	from	ADP
asir-56700	100	6	obtained	obtain	VERB
asir-56700	100	7	results	result	NOUN
asir-56700	100	8	,	,	PUNCT
asir-56700	100	9	the	the	DET
asir-56700	100	10	current	current	ADJ
asir-56700	100	11	distribution	distribution	NOUN
asir-56700	100	12	in	in	ADP
asir-56700	100	13	the	the	DET
asir-56700	100	14	large	large	ADJ
asir-56700	100	15	loop	loop	NOUN
asir-56700	100	16	antenna	antenna	NOUN
asir-56700	100	17	of	of	ADP
asir-56700	100	18	any	any	DET
asir-56700	100	19	form	form	NOUN
asir-56700	100	20	is	be	AUX
asir-56700	100	21	substantially	substantially	ADV
asir-56700	100	22	distinguished	distinguish	VERB
asir-56700	100	23	from	from	ADP
asir-56700	100	24	the	the	DET
asir-56700	100	25	current	current	ADJ
asir-56700	100	26	distribution	distribution	NOUN
asir-56700	100	27	in	in	ADP
asir-56700	100	28	the	the	DET
asir-56700	100	29	small	small	ADJ
asir-56700	100	30	loop	loop	NOUN
asir-56700	100	31	,	,	PUNCT
asir-56700	100	32	where	where	SCONJ
asir-56700	100	33	the	the	DET
asir-56700	100	34	current	current	ADJ
asir-56700	100	35	amplitude	amplitude	NOUN
asir-56700	100	36	is	be	AUX
asir-56700	100	37	constant	constant	ADJ
asir-56700	100	38	along	along	ADP
asir-56700	100	39	the	the	DET
asir-56700	100	40	wire	wire	NOUN
asir-56700	100	41	,	,	PUNCT
asir-56700	100	42	and	and	CCONJ
asir-56700	100	43	the	the	DET
asir-56700	100	44	created	create	VERB
asir-56700	100	45	field	field	NOUN
asir-56700	100	46	is	be	AUX
asir-56700	100	47	proportional	proportional	ADJ
asir-56700	100	48	to	to	ADP
asir-56700	100	49	product	product	NOUN
asir-56700	100	50	of	of	ADP
asir-56700	100	51	the	the	DET
asir-56700	100	52	generation	generation	NOUN
asir-56700	100	53	current	current	ADJ
asir-56700	100	54	to	to	ADP
asir-56700	100	55	the	the	DET
asir-56700	100	56	length	length	NOUN
asir-56700	100	57	of	of	ADP
asir-56700	100	58	semi	semi	ADJ
asir-56700	100	59	-	-	NOUN
asir-56700	100	60	perimeter	perimeter	NOUN
asir-56700	100	61	.	.	PUNCT
asir-56700	101	1	5	5	X
asir-56700	101	2	.	.	X
asir-56700	101	3	triangular	triangular	NOUN
asir-56700	101	4	antenna	antenna	NOUN
asir-56700	101	5	the	the	DET
asir-56700	101	6	asymmetrical	asymmetrical	ADJ
asir-56700	101	7	loop	loop	NOUN
asir-56700	101	8	antennas	antenna	NOUN
asir-56700	101	9	may	may	AUX
asir-56700	101	10	have	have	VERB
asir-56700	101	11	different	different	ADJ
asir-56700	101	12	forms	form	NOUN
asir-56700	101	13	.	.	PUNCT
asir-56700	102	1	in	in	ADP
asir-56700	102	2	this	this	DET
asir-56700	102	3	section	section	NOUN
asir-56700	102	4	appointed	appoint	VERB
asir-56700	102	5	variants	variant	NOUN
asir-56700	102	6	of	of	ADP
asir-56700	102	7	the	the	DET
asir-56700	102	8	antennas	antenna	NOUN
asir-56700	102	9	are	be	AUX
asir-56700	102	10	considered	consider	VERB
asir-56700	102	11	as	as	ADP
asir-56700	102	12	examples	example	NOUN
asir-56700	102	13	.	.	PUNCT
asir-56700	103	1	the	the	DET
asir-56700	103	2	triangular	triangular	NOUN
asir-56700	103	3	antenna	antenna	NOUN
asir-56700	103	4	is	be	AUX
asir-56700	103	5	presented	present	VERB
asir-56700	103	6	in	in	ADP
asir-56700	103	7	fig	fig	NOUN
asir-56700	103	8	.	.	PUNCT
asir-56700	104	1	4	4	NUM
asir-56700	104	2	.	.	X
asir-56700	104	3	as	as	SCONJ
asir-56700	104	4	already	already	ADV
asir-56700	104	5	said	say	VERB
asir-56700	104	6	,	,	PUNCT
asir-56700	104	7	in	in	ADP
asir-56700	104	8	order	order	NOUN
asir-56700	104	9	to	to	PART
asir-56700	104	10	determine	determine	VERB
asir-56700	104	11	the	the	DET
asir-56700	104	12	currents	current	NOUN
asir-56700	104	13	distribution	distribution	NOUN
asir-56700	104	14	along	along	ADP
asir-56700	104	15	the	the	DET
asir-56700	104	16	antenna	antenna	NOUN
asir-56700	104	17	’s	’s	PART
asir-56700	104	18	conductor	conductor	NOUN
asir-56700	104	19	,	,	PUNCT
asir-56700	104	20	one	one	PRON
asir-56700	104	21	must	must	AUX
asir-56700	104	22	to	to	PART
asir-56700	104	23	write	write	VERB
asir-56700	104	24	and	and	CCONJ
asir-56700	104	25	solve	solve	VERB
asir-56700	104	26	the	the	DET
asir-56700	104	27	equation	equation	NOUN
asir-56700	104	28	,	,	PUNCT
asir-56700	104	29	in	in	ADP
asir-56700	104	30	accordance	accordance	NOUN
asir-56700	104	31	with	with	ADP
asir-56700	104	32	which	which	PRON
asir-56700	104	33	the	the	DET
asir-56700	104	34	sum	sum	NOUN
asir-56700	104	35	of	of	ADP
asir-56700	104	36	extraneous	extraneous	ADJ
asir-56700	104	37	emf	emf	NOUN
asir-56700	104	38	and	and	CCONJ
asir-56700	104	39	tangential	tangential	ADJ
asir-56700	104	40	components	component	NOUN
asir-56700	104	41	of	of	ADP
asir-56700	104	42	the	the	DET
asir-56700	104	43	currents	current	NOUN
asir-56700	104	44	’	'	PUNCT
asir-56700	104	45	fields	field	NOUN
asir-56700	104	46	is	be	AUX
asir-56700	104	47	equal	equal	ADJ
asir-56700	104	48	to	to	ADP
asir-56700	104	49	zero	zero	NUM
asir-56700	104	50	.	.	PUNCT
asir-56700	105	1	the	the	DET
asir-56700	105	2	triangular	triangular	PROPN
asir-56700	105	3	loop	loop	NOUN
asir-56700	105	4	antenna	antenna	NOUN
asir-56700	105	5	has	have	VERB
asir-56700	105	6	a	a	DET
asir-56700	105	7	basis	basis	NOUN
asir-56700	105	8	b	b	NOUN
asir-56700	105	9	and	and	CCONJ
asir-56700	105	10	a	a	DET
asir-56700	105	11	side	side	NOUN
asir-56700	105	12	l.	l.	NOUN
asir-56700	105	13	the	the	DET
asir-56700	105	14	extraneous	extraneous	ADJ
asir-56700	105	15	emf	emf	NOUN
asir-56700	105	16	is	be	AUX
asir-56700	105	17	equal	equal	ADJ
asir-56700	105	18	to	to	ADP
asir-56700	105	19	e.	e.	PROPN
asir-56700	105	20	as	as	SCONJ
asir-56700	105	21	seen	see	VERB
asir-56700	105	22	from	from	ADP
asir-56700	105	23	the	the	DET
asir-56700	105	24	figure	figure	NOUN
asir-56700	105	25	,	,	PUNCT
asir-56700	105	26	the	the	DET
asir-56700	105	27	angles	angle	NOUN
asir-56700	105	28	between	between	ADP
asir-56700	105	29	the	the	DET
asir-56700	105	30	side	side	NOUN
asir-56700	105	31	conductors	conductor	NOUN
asir-56700	105	32	and	and	CCONJ
asir-56700	105	33	a	a	DET
asir-56700	105	34	basis	basis	NOUN
asir-56700	105	35	are	be	AUX
asir-56700	105	36	the	the	DET
asir-56700	105	37	same	same	ADJ
asir-56700	105	38	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-56700	105	39	applied	apply	VERB
asir-56700	105	40	science	science	NOUN
asir-56700	105	41	and	and	CCONJ
asir-56700	105	42	innovative	innovative	ADJ
asir-56700	105	43	research	research	NOUN
asir-56700	105	44	vol	vol	NOUN
asir-56700	105	45	.	.	PUNCT
asir-56700	106	1	9	9	NUM
asir-56700	106	2	,	,	PUNCT
asir-56700	106	3	no	no	INTJ
asir-56700	106	4	.	.	NOUN
asir-56700	106	5	4	4	NUM
asir-56700	106	6	,	,	PUNCT
asir-56700	106	7	2025	2025	NUM
asir-56700	106	8	53	53	NUM
asir-56700	106	9	published	publish	VERB
asir-56700	106	10	by	by	ADP
asir-56700	106	11	scholink	scholink	PROPN
asir-56700	106	12	inc	inc	PROPN
asir-56700	106	13	.	.	PROPN
asir-56700	106	14	fig	fig	PROPN
asir-56700	106	15	.	.	PUNCT
asir-56700	107	1	4	4	X
asir-56700	107	2	.	.	X
asir-56700	107	3	the	the	DET
asir-56700	107	4	symmetrical	symmetrical	ADJ
asir-56700	107	5	triangular	triangular	NOUN
asir-56700	107	6	antenna	antenna	NOUN
asir-56700	107	7	and	and	CCONJ
asir-56700	107	8	equal	equal	ADJ
asir-56700	107	9	to	to	ADP
asir-56700	107	10	∝.	∝.	VERB
asir-56700	107	11	the	the	DET
asir-56700	107	12	currents	current	NOUN
asir-56700	107	13	of	of	ADP
asir-56700	107	14	a	a	DET
asir-56700	107	15	right	right	NOUN
asir-56700	107	16	and	and	CCONJ
asir-56700	107	17	left	leave	VERB
asir-56700	107	18	branches	branch	NOUN
asir-56700	107	19	are	be	AUX
asir-56700	107	20	the	the	DET
asir-56700	107	21	same	same	ADJ
asir-56700	107	22	,	,	PUNCT
asir-56700	107	23	and	and	CCONJ
asir-56700	107	24	each	each	DET
asir-56700	107	25	current	current	NOUN
asir-56700	107	26	is	be	AUX
asir-56700	107	27	equal	equal	ADJ
asir-56700	107	28	to	to	ADP
asir-56700	107	29	𝐽1	𝐽1	NOUN
asir-56700	108	1	=	=	PUNCT
asir-56700	108	2	𝐽0	𝐽0	NOUN
asir-56700	108	3	{	{	PUNCT
asir-56700	108	4	cos	cos	INTJ
asir-56700	108	5	𝑘(1	𝑘(1	PROPN
asir-56700	109	1	−	−	PROPN
asir-56700	110	1	𝑧/	𝑧/	PROPN
asir-56700	110	2	sin	sin	NOUN
asir-56700	110	3	𝛼	𝛼	NOUN
asir-56700	110	4	)	)	PUNCT
asir-56700	110	5	,	,	PUNCT
asir-56700	110	6	0	0	NUM
asir-56700	110	7	≤	≤	NUM
asir-56700	111	1	𝑧	𝑧	PRON
asir-56700	111	2	≤	≤	NUM
asir-56700	111	3	𝑙	𝑙	DET
asir-56700	111	4	sin	sin	NOUN
asir-56700	111	5	∝	∝	PROPN
asir-56700	111	6	,	,	PUNCT
asir-56700	111	7	cos	cos	ADP
asir-56700	111	8	𝑘	𝑘	X
asir-56700	111	9	(	(	PUNCT
asir-56700	111	10	𝑙	𝑙	PROPN
asir-56700	111	11	+	+	CCONJ
asir-56700	111	12	𝑏	𝑏	PROPN
asir-56700	111	13	2	2	NUM
asir-56700	111	14	−	−	NOUN
asir-56700	111	15	𝑥	𝑥	NOUN
asir-56700	111	16	)	)	PUNCT
asir-56700	111	17	,	,	PUNCT
asir-56700	111	18	𝑧	𝑧	X
asir-56700	111	19	=	=	NOUN
asir-56700	111	20	0	0	NUM
asir-56700	111	21	.	.	PUNCT
asir-56700	111	22	the	the	DET
asir-56700	111	23	load	load	NOUN
asir-56700	111	24	of	of	ADP
asir-56700	111	25	a	a	DET
asir-56700	111	26	generator	generator	NOUN
asir-56700	111	27	is	be	AUX
asir-56700	111	28	the	the	DET
asir-56700	111	29	short	short	ADV
asir-56700	111	30	-	-	PUNCT
asir-56700	111	31	circuited	circuit	VERB
asir-56700	111	32	two	two	NUM
asir-56700	111	33	-	-	PUNCT
asir-56700	111	34	conductor	conductor	NOUN
asir-56700	111	35	long	long	ADJ
asir-56700	111	36	line	line	NOUN
asir-56700	111	37	.	.	PUNCT
asir-56700	112	1	in	in	ADP
asir-56700	112	2	the	the	DET
asir-56700	112	3	first	first	ADJ
asir-56700	112	4	approximation	approximation	NOUN
asir-56700	112	5	one	one	PRON
asir-56700	112	6	can	can	AUX
asir-56700	112	7	consider	consider	VERB
asir-56700	112	8	that	that	DET
asir-56700	112	9	𝜋𝜀0𝐶1	𝜋𝜀0𝐶1	VERB
asir-56700	112	10	=	=	SYM
asir-56700	112	11	𝜋𝜀0/	𝜋𝜀0/	PROPN
asir-56700	112	12	ln[𝑏/	ln[𝑏/	PROPN
asir-56700	112	13	cos	cos	PROPN
asir-56700	112	14	∝	∝	PROPN
asir-56700	112	15	]	]	PUNCT
asir-56700	112	16	.	.	PUNCT
asir-56700	113	1	the	the	DET
asir-56700	113	2	input	input	NOUN
asir-56700	113	3	current	current	NOUN
asir-56700	113	4	of	of	ADP
asir-56700	113	5	each	each	DET
asir-56700	113	6	conductor	conductor	NOUN
asir-56700	113	7	𝐽𝐴	𝐽𝐴	PROPN
asir-56700	113	8	=	=	PUNCT
asir-56700	113	9	𝐽0	𝐽0	NOUN
asir-56700	113	10	cos	cos	PROPN
asir-56700	113	11	𝑘𝐿	𝑘𝐿	PROPN
asir-56700	113	12	−	−	PROPN
asir-56700	113	13	in	in	ADP
asir-56700	113	14	the	the	DET
asir-56700	113	15	total	total	ADJ
asir-56700	113	16	agreement	agreement	NOUN
asir-56700	113	17	with	with	ADP
asir-56700	113	18	obtained	obtain	VERB
asir-56700	113	19	results	result	NOUN
asir-56700	113	20	.	.	PUNCT
asir-56700	114	1	in	in	ADP
asir-56700	114	2	the	the	DET
asir-56700	114	3	first	first	ADJ
asir-56700	114	4	approximation	approximation	NOUN
asir-56700	114	5	one	one	PRON
asir-56700	114	6	can	can	AUX
asir-56700	114	7	consider	consider	VERB
asir-56700	114	8	,	,	PUNCT
asir-56700	114	9	that	that	DET
asir-56700	114	10	capacitance	capacitance	NOUN
asir-56700	114	11	per	per	ADP
asir-56700	114	12	unit	unit	NOUN
asir-56700	114	13	length	length	NOUN
asir-56700	114	14	between	between	ADP
asir-56700	114	15	the	the	DET
asir-56700	114	16	conductors	conductor	NOUN
asir-56700	114	17	of	of	ADP
asir-56700	114	18	this	this	DET
asir-56700	114	19	line	line	NOUN
asir-56700	114	20	is	be	AUX
asir-56700	114	21	constant	constant	ADJ
asir-56700	114	22	and	and	CCONJ
asir-56700	114	23	equal	equal	ADJ
asir-56700	114	24	to	to	ADP
asir-56700	114	25	𝐶1	𝐶1	NOUN
asir-56700	114	26	=	=	SYM
asir-56700	114	27	𝜋𝜀0/	𝜋𝜀0/	PROPN
asir-56700	114	28	ln(𝑏/𝑎	ln(𝑏/𝑎	NOUN
asir-56700	114	29	)	)	PUNCT
asir-56700	114	30	.	.	PUNCT
asir-56700	115	1	these	these	DET
asir-56700	115	2	expressions	expression	NOUN
asir-56700	115	3	coincide	coincide	VERB
asir-56700	115	4	with	with	ADP
asir-56700	115	5	expressions	expression	NOUN
asir-56700	115	6	for	for	ADP
asir-56700	115	7	the	the	DET
asir-56700	115	8	straight	straight	ADJ
asir-56700	115	9	line	line	NOUN
asir-56700	115	10	.	.	PUNCT
asir-56700	116	1	in	in	ADP
asir-56700	116	2	this	this	DET
asir-56700	116	3	case	case	NOUN
asir-56700	116	4	the	the	DET
asir-56700	116	5	wave	wave	NOUN
asir-56700	116	6	impedance	impedance	NOUN
asir-56700	116	7	of	of	ADP
asir-56700	116	8	a	a	DET
asir-56700	116	9	line	line	NOUN
asir-56700	116	10	changes	change	NOUN
asir-56700	116	11	along	along	ADP
asir-56700	116	12	the	the	DET
asir-56700	116	13	antenna	antenna	NOUN
asir-56700	116	14	length	length	NOUN
asir-56700	116	15	in	in	ADP
asir-56700	116	16	accordance	accordance	NOUN
asir-56700	116	17	with	with	ADP
asir-56700	116	18	a	a	DET
asir-56700	116	19	𝑊	𝑊	NOUN
asir-56700	116	20	=	=	SYM
asir-56700	116	21	𝜔𝐶1	𝜔𝐶1	PROPN
asir-56700	116	22	=	=	NOUN
asir-56700	116	23	120	120	NUM
asir-56700	116	24	ln(𝑏/𝑎	ln(𝑏/𝑎	NOUN
asir-56700	116	25	)	)	PUNCT
asir-56700	116	26	.	.	PUNCT
asir-56700	117	1	the	the	DET
asir-56700	117	2	input	input	NOUN
asir-56700	117	3	impedance	impedance	NOUN
asir-56700	117	4	of	of	ADP
asir-56700	117	5	an	an	DET
asir-56700	117	6	antenna	antenna	NOUN
asir-56700	117	7	is	be	AUX
asir-56700	117	8	𝑍𝐴	𝑍𝐴	PROPN
asir-56700	117	9	=	=	PUNCT
asir-56700	117	10	𝑗𝑊	𝑗𝑊	PROPN
asir-56700	117	11	tan	tan	PROPN
asir-56700	117	12	𝑘𝐿	𝑘𝐿	NOUN
asir-56700	117	13	+	+	CCONJ
asir-56700	118	1	𝑅ς	𝑅ς	ADP
asir-56700	118	2	,	,	PUNCT
asir-56700	118	3	where	where	SCONJ
asir-56700	118	4	𝐿	𝐿	PROPN
asir-56700	118	5	=	=	PROPN
asir-56700	118	6	𝑙	𝑙	PROPN
asir-56700	118	7	+	+	NUM
asir-56700	118	8	𝑏/2	𝑏/2	NUM
asir-56700	118	9	.	.	PUNCT
asir-56700	119	1	the	the	DET
asir-56700	119	2	input	input	NOUN
asir-56700	119	3	current	current	NOUN
asir-56700	119	4	of	of	ADP
asir-56700	119	5	each	each	DET
asir-56700	119	6	conductor	conductor	NOUN
asir-56700	119	7	is	be	AUX
asir-56700	119	8	𝐼𝐴=	𝐼𝐴=	ADJ
asir-56700	119	9	𝐼0	𝐼0	PROPN
asir-56700	119	10	cos	cos	ADP
asir-56700	119	11	𝑘𝐿.	𝑘𝐿.	PROPN
asir-56700	119	12	the	the	DET
asir-56700	119	13	extraneous	extraneous	ADJ
asir-56700	119	14	emf	emf	NOUN
asir-56700	119	15	in	in	ADP
asir-56700	119	16	this	this	DET
asir-56700	119	17	case	case	NOUN
asir-56700	119	18	is	be	AUX
asir-56700	119	19	equal	equal	ADJ
asir-56700	119	20	to	to	ADP
asir-56700	119	21	the	the	DET
asir-56700	119	22	product	product	NOUN
asir-56700	119	23	of	of	ADP
asir-56700	119	24	an	an	DET
asir-56700	119	25	input	input	NOUN
asir-56700	119	26	current	current	NOUN
asir-56700	119	27	on	on	ADP
asir-56700	119	28	the	the	DET
asir-56700	119	29	input	input	NOUN
asir-56700	119	30	impedance	impedance	NOUN
asir-56700	120	1	𝐾𝑒	𝐾𝑒	PROPN
asir-56700	120	2	=	=	PRON
asir-56700	120	3	𝐽𝐴(𝑗𝑊	𝐽𝐴(𝑗𝑊	PROPN
asir-56700	120	4	tan	tan	PROPN
asir-56700	120	5	𝑘𝐿	𝑘𝐿	NOUN
asir-56700	120	6	+	+	CCONJ
asir-56700	120	7	𝑅ς	𝑅ς	VERB
asir-56700	120	8	)	)	PUNCT
asir-56700	120	9	.	.	PUNCT
asir-56700	121	1	the	the	DET
asir-56700	121	2	field	field	NOUN
asir-56700	121	3	,	,	PUNCT
asir-56700	121	4	created	create	VERB
asir-56700	121	5	by	by	ADP
asir-56700	121	6	the	the	DET
asir-56700	121	7	currents	current	NOUN
asir-56700	121	8	,	,	PUNCT
asir-56700	121	9	is	be	AUX
asir-56700	121	10	𝐸3	𝐸3	NOUN
asir-56700	121	11	=	=	PUNCT
asir-56700	121	12	−𝑗	−𝑗	PRON
asir-56700	121	13	60	60	NUM
asir-56700	121	14	𝑘	𝑘	DET
asir-56700	121	15	∫	∫	PROPN
asir-56700	121	16	𝑒−𝑗𝑘𝑧	𝑒−𝑗𝑘𝑧	NOUN
asir-56700	121	17	𝑧	𝑧	ADP
asir-56700	121	18	𝑙	𝑙	DET
asir-56700	121	19	sin𝛼	sin𝛼	NOUN
asir-56700	121	20	0	0	PUNCT
asir-56700	121	21	cos	cos	ADP
asir-56700	121	22	𝑘(𝑙	𝑘(𝑙	PROPN
asir-56700	121	23	−	−	PRON
asir-56700	121	24	𝑧	𝑧	NOUN
asir-56700	121	25	)	)	PUNCT
asir-56700	121	26	sin	sin	NOUN
asir-56700	121	27	𝛼𝑑𝑧.	𝛼𝑑𝑧.	NUM
asir-56700	121	28	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-56700	121	29	applied	apply	VERB
asir-56700	121	30	science	science	NOUN
asir-56700	121	31	and	and	CCONJ
asir-56700	121	32	innovative	innovative	ADJ
asir-56700	121	33	research	research	NOUN
asir-56700	121	34	vol	vol	NOUN
asir-56700	121	35	.	.	PUNCT
asir-56700	122	1	9	9	NUM
asir-56700	122	2	,	,	PUNCT
asir-56700	122	3	no	no	INTJ
asir-56700	122	4	.	.	NOUN
asir-56700	122	5	4	4	NUM
asir-56700	122	6	,	,	PUNCT
asir-56700	122	7	2025	2025	NUM
asir-56700	122	8	54	54	NUM
asir-56700	122	9	published	publish	VERB
asir-56700	122	10	by	by	ADP
asir-56700	122	11	scholink	scholink	PROPN
asir-56700	122	12	inc	inc	PROPN
asir-56700	122	13	.	.	PUNCT
asir-56700	123	1	the	the	DET
asir-56700	123	2	total	total	ADJ
asir-56700	123	3	sum	sum	NOUN
asir-56700	123	4	of	of	ADP
asir-56700	123	5	the	the	DET
asir-56700	123	6	series	series	NOUN
asir-56700	123	7	is	be	AUX
asir-56700	123	8	𝑎1	𝑎1	PRON
asir-56700	123	9	1−𝑞	1−𝑞	NUM
asir-56700	124	1	=	=	SYM
asir-56700	125	1	𝐾𝑒	𝐾𝑒	PROPN
asir-56700	125	2	1−	1−	NUM
asir-56700	125	3	𝐸3	𝐸3	NOUN
asir-56700	125	4	/𝐾𝑒	/𝐾𝑒	PUNCT
asir-56700	126	1	6	6	X
asir-56700	126	2	.	.	X
asir-56700	126	3	antenna	antenna	NOUN
asir-56700	126	4	with	with	ADP
asir-56700	126	5	compound	compound	NOUN
asir-56700	126	6	form	form	NOUN
asir-56700	126	7	in	in	ADP
asir-56700	126	8	accordance	accordance	NOUN
asir-56700	126	9	with	with	ADP
asir-56700	126	10	the	the	DET
asir-56700	126	11	described	describe	VERB
asir-56700	126	12	method	method	NOUN
asir-56700	126	13	one	one	PRON
asir-56700	126	14	can	can	AUX
asir-56700	126	15	obtain	obtain	VERB
asir-56700	126	16	the	the	DET
asir-56700	126	17	similar	similar	ADJ
asir-56700	126	18	results	result	NOUN
asir-56700	126	19	in	in	ADP
asir-56700	126	20	the	the	DET
asir-56700	126	21	case	case	NOUN
asir-56700	126	22	of	of	ADP
asir-56700	126	23	antenna	antenna	NOUN
asir-56700	126	24	with	with	ADP
asir-56700	126	25	compound	compound	NOUN
asir-56700	126	26	form	form	NOUN
asir-56700	126	27	,	,	PUNCT
asir-56700	126	28	shown	show	VERB
asir-56700	126	29	in	in	ADP
asir-56700	126	30	fig	fig	NOUN
asir-56700	126	31	.	.	PUNCT
asir-56700	127	1	5	5	X
asir-56700	127	2	.	.	X
asir-56700	127	3	in	in	ADP
asir-56700	127	4	this	this	DET
asir-56700	127	5	case	case	NOUN
asir-56700	127	6	𝐽1	𝐽1	NOUN
asir-56700	127	7	=	=	PUNCT
asir-56700	127	8	𝐽0	𝐽0	X
asir-56700	127	9	{	{	PUNCT
asir-56700	127	10	cos[𝑘(𝑑1	cos[𝑘(𝑑1	PROPN
asir-56700	127	11	−	−	PROPN
asir-56700	128	1	𝑧)/	𝑧)/	PROPN
asir-56700	128	2	sin	sin	NOUN
asir-56700	128	3	𝛼	𝛼	NOUN
asir-56700	128	4	]	]	X
asir-56700	128	5	,	,	PUNCT
asir-56700	128	6	𝑑2	𝑑2	VERB
asir-56700	128	7	≤	≤	NOUN
asir-56700	128	8	𝑧	𝑧	DET
asir-56700	128	9	≤	≤	NOUN
asir-56700	128	10	𝑑1	𝑑1	NOUN
asir-56700	128	11	,	,	PUNCT
asir-56700	128	12	cos	cos	PUNCT
asir-56700	129	1	[	[	X
asir-56700	129	2	𝑘	𝑘	X
asir-56700	129	3	(	(	PUNCT
asir-56700	129	4	𝑙1	𝑙1	NOUN
asir-56700	129	5	+	+	CCONJ
asir-56700	129	6	𝑑2	𝑑2	VERB
asir-56700	129	7	−	−	PROPN
asir-56700	129	8	𝑧	𝑧	DET
asir-56700	129	9	sin	sin	NOUN
asir-56700	129	10	𝛽	𝛽	NOUN
asir-56700	129	11	)	)	PUNCT
asir-56700	129	12	]	]	PUNCT
asir-56700	129	13	,	,	PUNCT
asir-56700	129	14	0	0	NUM
asir-56700	129	15	≤	≤	NUM
asir-56700	129	16	𝑧	𝑧	PRON
asir-56700	129	17	≤	≤	ADJ
asir-56700	129	18	𝑑2	𝑑2	NOUN
asir-56700	129	19	.	.	PUNCT
asir-56700	130	1	the	the	DET
asir-56700	130	2	input	input	NOUN
asir-56700	130	3	impedance	impedance	NOUN
asir-56700	130	4	of	of	ADP
asir-56700	130	5	this	this	DET
asir-56700	130	6	antenna	antenna	NOUN
asir-56700	130	7	is	be	AUX
asir-56700	130	8	𝑍𝐴	𝑍𝐴	PROPN
asir-56700	130	9	=	=	PUNCT
asir-56700	130	10	𝑗𝑊	𝑗𝑊	PROPN
asir-56700	130	11	tan	tan	PROPN
asir-56700	130	12	𝑘𝐿	𝑘𝐿	NOUN
asir-56700	130	13	+	+	CCONJ
asir-56700	131	1	𝑅ς	𝑅ς	ADP
asir-56700	131	2	,	,	PUNCT
asir-56700	131	3	where	where	SCONJ
asir-56700	131	4	l=𝑙1	l=𝑙1	NOUN
asir-56700	131	5	+	+	CCONJ
asir-56700	131	6	𝑙2	𝑙2	PROPN
asir-56700	131	7	,	,	PUNCT
asir-56700	131	8	𝑅ς	𝑅ς	PROPN
asir-56700	131	9	is	be	AUX
asir-56700	131	10	the	the	DET
asir-56700	131	11	radiation	radiation	NOUN
asir-56700	131	12	resistance	resistance	NOUN
asir-56700	131	13	,	,	PUNCT
asir-56700	131	14	fig	fig	NOUN
asir-56700	131	15	.	.	PUNCT
asir-56700	132	1	5	5	NUM
asir-56700	132	2	.	.	X
asir-56700	132	3	antenna	antenna	NOUN
asir-56700	132	4	of	of	ADP
asir-56700	132	5	compound	compound	NOUN
asir-56700	132	6	form	form	NOUN
asir-56700	132	7	where	where	SCONJ
asir-56700	132	8	l=	l=	ADJ
asir-56700	132	9	𝑙1	𝑙1	PROPN
asir-56700	132	10	+	+	CCONJ
asir-56700	132	11	𝑙2	𝑙2	PROPN
asir-56700	132	12	,	,	PUNCT
asir-56700	132	13	𝑅ς	𝑅ς	PROPN
asir-56700	132	14	is	be	AUX
asir-56700	132	15	the	the	DET
asir-56700	132	16	radiation	radiation	NOUN
asir-56700	132	17	resistance	resistance	NOUN
asir-56700	132	18	,	,	PUNCT
asir-56700	132	19	the	the	DET
asir-56700	132	20	input	input	NOUN
asir-56700	132	21	current	current	NOUN
asir-56700	132	22	is	be	AUX
asir-56700	132	23	equal	equal	ADJ
asir-56700	132	24	to	to	ADP
asir-56700	132	25	𝐼𝐴	𝐼𝐴	PROPN
asir-56700	132	26	=	=	PUNCT
asir-56700	132	27	𝐼0	𝐼0	PROPN
asir-56700	132	28	cos	cos	ADP
asir-56700	132	29	𝑘𝐿.	𝑘𝐿.	PROPN
asir-56700	132	30	the	the	DET
asir-56700	132	31	extraneous	extraneous	ADJ
asir-56700	132	32	emf	emf	NOUN
asir-56700	132	33	in	in	ADP
asir-56700	132	34	this	this	DET
asir-56700	132	35	case	case	NOUN
asir-56700	132	36	is	be	AUX
asir-56700	132	37	𝐾𝑒	𝐾𝑒	PROPN
asir-56700	132	38	=	=	SYM
asir-56700	132	39	𝐽𝐴(𝑗𝑊	𝐽𝐴(𝑗𝑊	PROPN
asir-56700	132	40	tan	tan	PROPN
asir-56700	132	41	𝑘𝐿	𝑘𝐿	NOUN
asir-56700	132	42	+	+	CCONJ
asir-56700	132	43	𝑅ς	𝑅ς	VERB
asir-56700	132	44	)	)	PUNCT
asir-56700	132	45	.	.	PUNCT
asir-56700	133	1	the	the	DET
asir-56700	133	2	currents	current	NOUN
asir-56700	133	3	’	'	PUNCT
asir-56700	133	4	fields	field	VERB
asir-56700	133	5	𝐸4	𝐸4	NOUN
asir-56700	133	6	of	of	ADP
asir-56700	133	7	upper	upper	ADJ
asir-56700	133	8	conductors	conductor	NOUN
asir-56700	133	9	create	create	VERB
asir-56700	133	10	additional	additional	ADJ
asir-56700	133	11	emf	emf	NOUN
asir-56700	133	12	on	on	ADP
asir-56700	133	13	the	the	DET
asir-56700	133	14	lower	low	ADJ
asir-56700	133	15	conductors	conductor	NOUN
asir-56700	133	16	and	and	CCONJ
asir-56700	133	17	reduces	reduce	VERB
asir-56700	133	18	the	the	DET
asir-56700	133	19	extraneous	extraneous	ADJ
asir-56700	133	20	emf	emf	NOUN
asir-56700	133	21	.	.	PUNCT
asir-56700	134	1	for	for	ADP
asir-56700	134	2	the	the	DET
asir-56700	134	3	same	same	ADJ
asir-56700	134	4	vertical	vertical	ADJ
asir-56700	134	5	line	line	NOUN
asir-56700	134	6	on	on	ADP
asir-56700	134	7	the	the	DET
asir-56700	134	8	upper	upper	ADJ
asir-56700	134	9	section	section	NOUN
asir-56700	134	10	𝑥	𝑥	NOUN
asir-56700	134	11	=	=	SYM
asir-56700	134	12	𝑙1	𝑙1	PROPN
asir-56700	134	13	cos	cos	PROPN
asir-56700	134	14	𝛼	𝛼	PROPN
asir-56700	134	15	,	,	PUNCT
asir-56700	134	16	on	on	ADP
asir-56700	134	17	the	the	DET
asir-56700	134	18	lower	low	ADJ
asir-56700	134	19	section	section	NOUN
asir-56700	134	20	𝑥	𝑥	NOUN
asir-56700	134	21	=	=	SYM
asir-56700	134	22	𝑙2	𝑙2	PROPN
asir-56700	134	23	cos	cos	PROPN
asir-56700	134	24	𝛽	𝛽	PROPN
asir-56700	134	25	,	,	PUNCT
asir-56700	134	26	i.e.	i.e.	X
asir-56700	134	27	,	,	PUNCT
asir-56700	134	28	the	the	DET
asir-56700	134	29	distance	distance	NOUN
asir-56700	134	30	between	between	ADP
asir-56700	134	31	the	the	DET
asir-56700	134	32	points	point	NOUN
asir-56700	134	33	of	of	ADP
asir-56700	134	34	upper	upper	ADJ
asir-56700	134	35	and	and	CCONJ
asir-56700	134	36	lower	low	ADJ
asir-56700	134	37	conductors	conductor	NOUN
asir-56700	134	38	with	with	ADP
asir-56700	134	39	the	the	DET
asir-56700	134	40	same	same	ADJ
asir-56700	134	41	x	x	X
asir-56700	134	42	is	be	AUX
asir-56700	134	43	𝑧	𝑧	NOUN
asir-56700	134	44	=	=	PUNCT
asir-56700	134	45	𝑥(tan	𝑥(tan	PROPN
asir-56700	134	46	𝛼	𝛼	NOUN
asir-56700	134	47	+	+	ADJ
asir-56700	134	48	tan	tan	PROPN
asir-56700	134	49	𝛽	𝛽	NOUN
asir-56700	134	50	)	)	PUNCT
asir-56700	134	51	,	,	PUNCT
asir-56700	134	52	and	and	CCONJ
asir-56700	134	53	the	the	DET
asir-56700	134	54	field	field	NOUN
asir-56700	134	55	,	,	PUNCT
asir-56700	134	56	created	create	VERB
asir-56700	134	57	by	by	ADP
asir-56700	134	58	the	the	DET
asir-56700	134	59	currents	current	NOUN
asir-56700	134	60	,	,	PUNCT
asir-56700	134	61	is	be	AUX
asir-56700	134	62	equal	equal	ADJ
asir-56700	134	63	to	to	ADP
asir-56700	134	64	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-56700	134	65	applied	apply	VERB
asir-56700	134	66	science	science	NOUN
asir-56700	134	67	and	and	CCONJ
asir-56700	134	68	innovative	innovative	ADJ
asir-56700	134	69	research	research	NOUN
asir-56700	134	70	vol	vol	NOUN
asir-56700	134	71	.	.	PUNCT
asir-56700	135	1	9	9	NUM
asir-56700	135	2	,	,	PUNCT
asir-56700	135	3	no	no	INTJ
asir-56700	135	4	.	.	NOUN
asir-56700	135	5	4	4	NUM
asir-56700	135	6	,	,	PUNCT
asir-56700	135	7	2025	2025	NUM
asir-56700	135	8	55	55	NUM
asir-56700	135	9	published	publish	VERB
asir-56700	135	10	by	by	ADP
asir-56700	135	11	scholink	scholink	PROPN
asir-56700	135	12	inc	inc	PROPN
asir-56700	135	13	.	.	PROPN
asir-56700	135	14	𝐸4	𝐸4	PROPN
asir-56700	135	15	=	=	PUNCT
asir-56700	136	1	−𝑗	−𝑗	PRON
asir-56700	137	1	60𝐼0	60𝐼0	NUM
asir-56700	137	2	𝑘	𝑘	PRON
asir-56700	137	3	∫	∫	PROPN
asir-56700	138	1	𝑒−𝑖𝑘𝑇𝑥	𝑒−𝑖𝑘𝑇𝑥	PROPN
asir-56700	139	1	𝑇𝑥	𝑇𝑥	PRON
asir-56700	139	2	𝑙1	𝑙1	VERB
asir-56700	139	3	cos𝛼	cos𝛼	ADJ
asir-56700	139	4	0	0	NUM
asir-56700	140	1	cos(𝑘𝑥/	cos(𝑘𝑥/	PROPN
asir-56700	140	2	cos	cos	ADP
asir-56700	140	3	𝛼)𝑑𝑥	𝛼)𝑑𝑥	PROPN
asir-56700	140	4	,	,	PUNCT
asir-56700	140	5	where	where	SCONJ
asir-56700	140	6	𝑇	𝑇	PROPN
asir-56700	140	7	=	=	PROPN
asir-56700	140	8	tan𝛼	tan𝛼	PROPN
asir-56700	140	9	+	+	CCONJ
asir-56700	140	10	tan𝛽.	tan𝛽.	NOUN
asir-56700	140	11	the	the	DET
asir-56700	140	12	total	total	ADJ
asir-56700	140	13	sum	sum	NOUN
asir-56700	140	14	of	of	ADP
asir-56700	140	15	the	the	DET
asir-56700	140	16	current	current	ADJ
asir-56700	140	17	series	series	NOUN
asir-56700	140	18	is	be	AUX
asir-56700	140	19	equal	equal	ADJ
asir-56700	140	20	to	to	ADP
asir-56700	140	21	𝑎1	𝑎1	PROPN
asir-56700	140	22	1−𝑞	1−𝑞	NUM
asir-56700	141	1	=	=	SYM
asir-56700	141	2	𝐾𝑒	𝐾𝑒	PROPN
asir-56700	141	3	1−	1−	NUM
asir-56700	141	4	𝐸4	𝐸4	NOUN
asir-56700	141	5	/𝐾𝑒	/𝐾𝑒	PUNCT
asir-56700	141	6	.	.	PUNCT
asir-56700	142	1	7	7	X
asir-56700	142	2	.	.	X
asir-56700	142	3	about	about	ADP
asir-56700	142	4	integral	integral	ADJ
asir-56700	142	5	equations	equation	NOUN
asir-56700	142	6	the	the	DET
asir-56700	142	7	obtained	obtain	VERB
asir-56700	142	8	results	result	NOUN
asir-56700	142	9	in	in	ADP
asir-56700	142	10	fact	fact	NOUN
asir-56700	142	11	consider	consider	VERB
asir-56700	142	12	the	the	DET
asir-56700	142	13	derivation	derivation	NOUN
asir-56700	142	14	and	and	CCONJ
asir-56700	142	15	solution	solution	NOUN
asir-56700	142	16	of	of	ADP
asir-56700	142	17	the	the	DET
asir-56700	142	18	integral	integral	ADJ
asir-56700	142	19	equations	equation	NOUN
asir-56700	142	20	for	for	ADP
asir-56700	142	21	the	the	DET
asir-56700	142	22	current	current	NOUN
asir-56700	142	23	of	of	ADP
asir-56700	142	24	symmetrical	symmetrical	ADJ
asir-56700	142	25	loop	loop	NOUN
asir-56700	142	26	antennas	antenna	NOUN
asir-56700	142	27	of	of	ADP
asir-56700	142	28	different	different	ADJ
asir-56700	142	29	form	form	NOUN
asir-56700	142	30	(	(	PUNCT
asir-56700	142	31	rectangular	rectangular	ADJ
asir-56700	142	32	,	,	PUNCT
asir-56700	142	33	circular	circular	ADJ
asir-56700	142	34	,	,	PUNCT
asir-56700	142	35	triangular	triangular	NOUN
asir-56700	142	36	,	,	PUNCT
asir-56700	142	37	compound	compound	NOUN
asir-56700	142	38	)	)	PUNCT
asir-56700	142	39	with	with	ADP
asir-56700	142	40	large	large	ADJ
asir-56700	142	41	length	length	NOUN
asir-56700	142	42	.	.	PUNCT
asir-56700	143	1	the	the	DET
asir-56700	143	2	offered	offer	VERB
asir-56700	143	3	method	method	NOUN
asir-56700	143	4	of	of	ADP
asir-56700	143	5	analysis	analysis	NOUN
asir-56700	143	6	is	be	AUX
asir-56700	143	7	based	base	VERB
asir-56700	143	8	on	on	ADP
asir-56700	143	9	the	the	DET
asir-56700	143	10	results	result	NOUN
asir-56700	143	11	of	of	ADP
asir-56700	143	12	leontovich	leontovich	NOUN
asir-56700	143	13	and	and	CCONJ
asir-56700	143	14	levin	levin	PROPN
asir-56700	143	15	(	(	PUNCT
asir-56700	143	16	1944	1944	NUM
asir-56700	143	17	)	)	PUNCT
asir-56700	143	18	and	and	CCONJ
asir-56700	143	19	levin	levin	PROPN
asir-56700	143	20	(	(	PUNCT
asir-56700	143	21	2025	2025	NUM
asir-56700	143	22	)	)	PUNCT
asir-56700	143	23	.	.	PUNCT
asir-56700	144	1	the	the	DET
asir-56700	144	2	analogical	analogical	ADJ
asir-56700	144	3	solution	solution	NOUN
asir-56700	144	4	is	be	AUX
asir-56700	144	5	proposed	propose	VERB
asir-56700	144	6	for	for	ADP
asir-56700	144	7	different	different	ADJ
asir-56700	144	8	variants	variant	NOUN
asir-56700	144	9	of	of	ADP
asir-56700	144	10	short	short	ADV
asir-56700	144	11	-	-	PUNCT
asir-56700	144	12	circuited	circuit	VERB
asir-56700	144	13	antennas	antenna	NOUN
asir-56700	144	14	.	.	PUNCT
asir-56700	145	1	in	in	ADP
asir-56700	145	2	the	the	DET
asir-56700	145	3	case	case	NOUN
asir-56700	145	4	symmetrical	symmetrical	ADJ
asir-56700	145	5	loop	loop	NOUN
asir-56700	145	6	antenna	antenna	NOUN
asir-56700	145	7	by	by	ADP
asir-56700	145	8	contrast	contrast	NOUN
asir-56700	145	9	to	to	ADP
asir-56700	145	10	rectilinear	rectilinear	ADJ
asir-56700	145	11	radiator	radiator	NOUN
asir-56700	145	12	the	the	DET
asir-56700	145	13	integral	integral	ADJ
asir-56700	145	14	equation	equation	NOUN
asir-56700	145	15	has	have	VERB
asir-56700	145	16	the	the	DET
asir-56700	145	17	form	form	NOUN
asir-56700	145	18	𝐾𝑒	𝐾𝑒	PROPN
asir-56700	145	19	=	=	SYM
asir-56700	145	20	𝐽𝐴(𝑗𝑊	𝐽𝐴(𝑗𝑊	PROPN
asir-56700	145	21	tan	tan	PROPN
asir-56700	145	22	𝑘𝐿	𝑘𝐿	NOUN
asir-56700	145	23	+	+	CCONJ
asir-56700	145	24	𝑅ς	𝑅ς	VERB
asir-56700	145	25	)	)	PUNCT
asir-56700	145	26	.	.	PUNCT
asir-56700	146	1	the	the	DET
asir-56700	146	2	current	current	NOUN
asir-56700	146	3	is	be	AUX
asir-56700	146	4	sought	seek	VERB
asir-56700	146	5	in	in	ADP
asir-56700	146	6	the	the	DET
asir-56700	146	7	form	form	NOUN
asir-56700	146	8	of	of	ADP
asir-56700	146	9	expansion	expansion	NOUN
asir-56700	146	10	into	into	ADP
asir-56700	146	11	a	a	DET
asir-56700	146	12	series	series	NOUN
asir-56700	146	13	in	in	ADP
asir-56700	146	14	powers	power	NOUN
asir-56700	146	15	of	of	ADP
asir-56700	146	16	small	small	ADJ
asir-56700	146	17	parameters	parameter	NOUN
asir-56700	146	18	q.	q.	VERB
asir-56700	146	19	in	in	ADP
asir-56700	146	20	the	the	DET
asir-56700	146	21	first	first	ADJ
asir-56700	146	22	approximation	approximation	NOUN
asir-56700	146	23	the	the	DET
asir-56700	146	24	current	current	NOUN
asir-56700	146	25	is	be	AUX
asir-56700	146	26	equal	equal	ADJ
asir-56700	146	27	to	to	ADP
asir-56700	146	28	the	the	DET
asir-56700	146	29	relation	relation	NOUN
asir-56700	146	30	of	of	ADP
asir-56700	146	31	extraneous	extraneous	ADJ
asir-56700	146	32	emf	emf	NOUN
asir-56700	146	33	𝐾𝑒	𝐾𝑒	PROPN
asir-56700	146	34	to	to	ADP
asir-56700	146	35	the	the	DET
asir-56700	146	36	antenna	antenna	NOUN
asir-56700	146	37	’s	’s	PART
asir-56700	146	38	input	input	NOUN
asir-56700	146	39	impedance	impedance	NOUN
asir-56700	146	40	,	,	PUNCT
asir-56700	146	41	which	which	PRON
asir-56700	146	42	is	be	AUX
asir-56700	146	43	usually	usually	ADV
asir-56700	146	44	based	base	VERB
asir-56700	146	45	on	on	ADP
asir-56700	146	46	long	long	ADJ
asir-56700	146	47	line	line	NOUN
asir-56700	146	48	theory	theory	NOUN
asir-56700	146	49	.	.	PUNCT
asir-56700	147	1	for	for	ADP
asir-56700	147	2	each	each	DET
asir-56700	147	3	variant	variant	NOUN
asir-56700	147	4	the	the	DET
asir-56700	147	5	problem	problem	NOUN
asir-56700	147	6	’s	’s	PART
asir-56700	147	7	solution	solution	NOUN
asir-56700	147	8	is	be	AUX
asir-56700	147	9	based	base	VERB
asir-56700	147	10	on	on	ADP
asir-56700	147	11	the	the	DET
asir-56700	147	12	calculation	calculation	NOUN
asir-56700	147	13	of	of	ADP
asir-56700	147	14	the	the	DET
asir-56700	147	15	sum	sum	NOUN
asir-56700	147	16	of	of	ADP
asir-56700	147	17	input	input	NOUN
asir-56700	147	18	current	current	PROPN
asir-56700	147	19	’s	’s	PART
asir-56700	147	20	series	series	NOUN
asir-56700	147	21	.	.	PUNCT
asir-56700	148	1	the	the	DET
asir-56700	148	2	series	serie	NOUN
asir-56700	148	3	’	'	PUNCT
asir-56700	148	4	members	member	NOUN
asir-56700	148	5	form	form	VERB
asir-56700	148	6	infinite	infinite	ADJ
asir-56700	148	7	geometric	geometric	ADJ
asir-56700	148	8	progression	progression	NOUN
asir-56700	148	9	.	.	PUNCT
asir-56700	149	1	the	the	DET
asir-56700	149	2	calculation	calculation	NOUN
asir-56700	149	3	of	of	ADP
asir-56700	149	4	currents	current	NOUN
asir-56700	149	5	in	in	ADP
asir-56700	149	6	antenna	antenna	NOUN
asir-56700	149	7	wires	wire	NOUN
asir-56700	149	8	allows	allow	VERB
asir-56700	149	9	to	to	PART
asir-56700	149	10	determine	determine	VERB
asir-56700	149	11	in	in	ADP
asir-56700	149	12	the	the	DET
asir-56700	149	13	placement	placement	NOUN
asir-56700	149	14	point	point	NOUN
asir-56700	149	15	of	of	ADP
asir-56700	149	16	extraneous	extraneous	ADJ
asir-56700	149	17	emf	emf	NOUN
asir-56700	149	18	the	the	DET
asir-56700	149	19	additional	additional	ADJ
asir-56700	149	20	emf	emf	NOUN
asir-56700	149	21	created	create	VERB
asir-56700	149	22	by	by	ADP
asir-56700	149	23	wires	wire	NOUN
asir-56700	149	24	’	’	PART
asir-56700	149	25	currents	current	NOUN
asir-56700	149	26	.	.	PUNCT
asir-56700	150	1	amplitudes	amplitude	NOUN
asir-56700	150	2	of	of	ADP
asir-56700	150	3	these	these	DET
asir-56700	150	4	emfs	emfs	NOUN
asir-56700	150	5	are	be	AUX
asir-56700	150	6	inversely	inversely	ADV
asir-56700	150	7	proportional	proportional	ADJ
asir-56700	150	8	to	to	ADP
asir-56700	150	9	the	the	DET
asir-56700	150	10	distance	distance	NOUN
asir-56700	150	11	from	from	ADP
asir-56700	150	12	this	this	DET
asir-56700	150	13	point	point	NOUN
asir-56700	150	14	and	and	CCONJ
asir-56700	150	15	depend	depend	VERB
asir-56700	150	16	on	on	ADP
asir-56700	150	17	the	the	DET
asir-56700	150	18	angle	angle	NOUN
asir-56700	150	19	between	between	ADP
asir-56700	150	20	the	the	DET
asir-56700	150	21	wires	wire	NOUN
asir-56700	150	22	.	.	PUNCT
asir-56700	151	1	additional	additional	ADJ
asir-56700	151	2	emfs	emfs	PROPN
asir-56700	151	3	create	create	VERB
asir-56700	151	4	weaker	weak	ADJ
asir-56700	151	5	currents	current	NOUN
asir-56700	151	6	,	,	PUNCT
asir-56700	151	7	etc	etc	X
asir-56700	151	8	.	.	X
asir-56700	152	1	the	the	DET
asir-56700	152	2	use	use	NOUN
asir-56700	152	3	of	of	ADP
asir-56700	152	4	geometric	geometric	ADJ
asir-56700	152	5	progression	progression	NOUN
asir-56700	152	6	allows	allow	VERB
asir-56700	152	7	to	to	PART
asir-56700	152	8	determine	determine	VERB
asir-56700	152	9	the	the	DET
asir-56700	152	10	full	full	ADJ
asir-56700	152	11	current	current	ADJ
asir-56700	152	12	and	and	CCONJ
asir-56700	152	13	full	full	ADJ
asir-56700	152	14	input	input	NOUN
asir-56700	152	15	impedance	impedance	NOUN
asir-56700	152	16	.	.	PUNCT
asir-56700	153	1	8	8	X
asir-56700	153	2	.	.	X
asir-56700	153	3	conclusion	conclusion	NOUN
asir-56700	153	4	obtained	obtain	VERB
asir-56700	153	5	results	result	NOUN
asir-56700	153	6	allow	allow	VERB
asir-56700	153	7	us	we	PRON
asir-56700	153	8	to	to	PART
asir-56700	153	9	generalize	generalize	VERB
asir-56700	153	10	the	the	DET
asir-56700	153	11	proposed	propose	VERB
asir-56700	153	12	by	by	ADP
asir-56700	153	13	m.	m.	NOUN
asir-56700	153	14	a.	a.	NOUN
asir-56700	153	15	leontovich	leontovich	PROPN
asir-56700	153	16	rigorous	rigorous	ADJ
asir-56700	153	17	method	method	NOUN
asir-56700	153	18	of	of	ADP
asir-56700	153	19	calculating	calculate	VERB
asir-56700	153	20	rectilinear	rectilinear	ADJ
asir-56700	153	21	radiators	radiator	NOUN
asir-56700	153	22	to	to	ADP
asir-56700	153	23	the	the	DET
asir-56700	153	24	radiators	radiator	NOUN
asir-56700	153	25	of	of	ADP
asir-56700	153	26	intricate	intricate	ADJ
asir-56700	153	27	form	form	NOUN
asir-56700	153	28	.	.	PUNCT
asir-56700	154	1	at	at	ADP
asir-56700	154	2	that	that	PRON
asir-56700	154	3	the	the	DET
asir-56700	154	4	used	use	VERB
asir-56700	154	5	method	method	NOUN
asir-56700	154	6	is	be	AUX
asir-56700	154	7	simplified	simplify	VERB
asir-56700	154	8	and	and	CCONJ
asir-56700	154	9	refined	refine	VERB
asir-56700	154	10	.	.	PUNCT
asir-56700	155	1	these	these	DET
asir-56700	155	2	results	result	NOUN
asir-56700	155	3	allow	allow	VERB
asir-56700	155	4	us	we	PRON
asir-56700	155	5	to	to	PART
asir-56700	155	6	compare	compare	VERB
asir-56700	155	7	the	the	DET
asir-56700	155	8	properties	property	NOUN
asir-56700	155	9	of	of	ADP
asir-56700	155	10	great	great	ADJ
asir-56700	155	11	and	and	CCONJ
asir-56700	155	12	small	small	ADJ
asir-56700	155	13	circular	circular	ADJ
asir-56700	155	14	loop	loop	NOUN
asir-56700	155	15	radiators	radiator	NOUN
asir-56700	155	16	.	.	PUNCT
asir-56700	156	1	boris	boris	PROPN
asir-56700	156	2	levin	levin	PROPN
asir-56700	156	3	was	be	AUX
asir-56700	156	4	born	bear	VERB
asir-56700	156	5	in	in	ADP
asir-56700	156	6	saratov	saratov	PROPN
asir-56700	156	7	,	,	PUNCT
asir-56700	156	8	russia	russia	PROPN
asir-56700	156	9	,	,	PUNCT
asir-56700	156	10	in	in	ADP
asir-56700	156	11	january	january	PROPN
asir-56700	156	12	of	of	ADP
asir-56700	156	13	1937	1937	NUM
asir-56700	156	14	.	.	PUNCT
asir-56700	157	1	in	in	ADP
asir-56700	157	2	1960	1960	NUM
asir-56700	157	3	he	he	PRON
asir-56700	157	4	graduated	graduate	VERB
asir-56700	157	5	from	from	ADP
asir-56700	157	6	leningrad	leningrad	PROPN
asir-56700	157	7	polytechnical	polytechnical	PROPN
asir-56700	157	8	institute	institute	PROPN
asir-56700	157	9	,	,	PUNCT
asir-56700	157	10	in	in	ADP
asir-56700	157	11	1969	1969	NUM
asir-56700	157	12	he	he	PRON
asir-56700	157	13	got	get	VERB
asir-56700	157	14	the	the	DET
asir-56700	157	15	ph.d	ph.d	PROPN
asir-56700	157	16	.	.	PUNCT
asir-56700	157	17	degree	degree	NOUN
asir-56700	157	18	in	in	ADP
asir-56700	157	19	radio	radio	NOUN
asir-56700	157	20	physic	physic	NOUN
asir-56700	157	21	from	from	ADP
asir-56700	157	22	the	the	DET
asir-56700	157	23	central	central	PROPN
asir-56700	157	24	research	research	PROPN
asir-56700	157	25	institute	institute	PROPN
asir-56700	157	26	of	of	ADP
asir-56700	157	27	automatic	automatic	ADJ
asir-56700	157	28	devices	device	NOUN
asir-56700	157	29	(	(	PUNCT
asir-56700	157	30	leningrad	leningrad	PROPN
asir-56700	157	31	,	,	PUNCT
asir-56700	157	32	russia	russia	PROPN
asir-56700	157	33	)	)	PUNCT
asir-56700	157	34	.	.	PUNCT
asir-56700	158	1	in	in	ADP
asir-56700	158	2	1993	1993	NUM
asir-56700	158	3	he	he	PRON
asir-56700	158	4	defended	defend	VERB
asir-56700	158	5	the	the	DET
asir-56700	158	6	dissertation	dissertation	NOUN
asir-56700	158	7	in	in	ADP
asir-56700	158	8	order	order	NOUN
asir-56700	158	9	to	to	PART
asir-56700	158	10	get	get	VERB
asir-56700	158	11	the	the	DET
asir-56700	158	12	doctor	doctor	NOUN
asir-56700	158	13	of	of	ADP
asir-56700	158	14	sciences	sciences	PROPN
asir-56700	158	15	degree	degree	NOUN
asir-56700	158	16	(	(	PUNCT
asir-56700	158	17	professor	professor	NOUN
asir-56700	158	18	)	)	PUNCT
asir-56700	158	19	in	in	ADP
asir-56700	158	20	physics	physics	NOUN
asir-56700	158	21	and	and	CCONJ
asir-56700	158	22	mathematics	mathematic	NOUN
asir-56700	158	23	from	from	ADP
asir-56700	158	24	peter	peter	PROPN
asir-56700	158	25	the	the	DET
asir-56700	158	26	great	great	ADJ
asir-56700	158	27	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-56700	158	28	applied	apply	VERB
asir-56700	158	29	science	science	NOUN
asir-56700	158	30	and	and	CCONJ
asir-56700	158	31	innovative	innovative	ADJ
asir-56700	158	32	research	research	NOUN
asir-56700	158	33	vol	vol	NOUN
asir-56700	158	34	.	.	PUNCT
asir-56700	159	1	9	9	NUM
asir-56700	159	2	,	,	PUNCT
asir-56700	159	3	no	no	INTJ
asir-56700	159	4	.	.	NOUN
asir-56700	159	5	4	4	NUM
asir-56700	159	6	,	,	PUNCT
asir-56700	159	7	2025	2025	NUM
asir-56700	159	8	56	56	NUM
asir-56700	159	9	published	publish	VERB
asir-56700	159	10	by	by	ADP
asir-56700	159	11	scholink	scholink	PROPN
asir-56700	159	12	inc	inc	PROPN
asir-56700	159	13	.	.	PROPN
asir-56700	159	14	technical	technical	PROPN
asir-56700	159	15	university	university	PROPN
asir-56700	159	16	(	(	PUNCT
asir-56700	159	17	s.petersburg	s.petersburg	NOUN
asir-56700	159	18	)	)	PUNCT
asir-56700	159	19	.	.	PUNCT
asir-56700	160	1	from	from	ADP
asir-56700	160	2	1963	1963	NUM
asir-56700	160	3	to	to	ADP
asir-56700	160	4	1998	1998	NUM
asir-56700	160	5	he	he	PRON
asir-56700	160	6	worked	work	VERB
asir-56700	160	7	in	in	ADP
asir-56700	160	8	the	the	DET
asir-56700	160	9	design	design	NOUN
asir-56700	160	10	office	office	NOUN
asir-56700	160	11	“	"	PUNCT
asir-56700	160	12	svyzmorproyect	svyzmorproyect	NOUN
asir-56700	160	13	”	"	PUNCT
asir-56700	160	14	of	of	ADP
asir-56700	160	15	russia	russia	PROPN
asir-56700	160	16	shipbuilding	shipbuilding	NOUN
asir-56700	160	17	department	department	PROPN
asir-56700	160	18	.	.	PUNCT
asir-56700	161	1	from	from	ADP
asir-56700	161	2	1999	1999	NUM
asir-56700	161	3	he	he	PRON
asir-56700	161	4	lives	live	VERB
asir-56700	161	5	in	in	ADP
asir-56700	161	6	lod	lod	PROPN
asir-56700	161	7	(	(	PUNCT
asir-56700	161	8	israel	israel	PROPN
asir-56700	161	9	)	)	PUNCT
asir-56700	161	10	.	.	PUNCT
asir-56700	162	1	here	here	ADV
asir-56700	162	2	he	he	PRON
asir-56700	162	3	worked	work	VERB
asir-56700	162	4	in	in	ADP
asir-56700	162	5	the	the	DET
asir-56700	162	6	holon	holon	PROPN
asir-56700	162	7	technology	technology	PROPN
asir-56700	162	8	university	university	PROPN
asir-56700	162	9	and	and	CCONJ
asir-56700	162	10	in	in	ADP
asir-56700	162	11	the	the	DET
asir-56700	162	12	company	company	NOUN
asir-56700	162	13	mars	mar	NOUN
asir-56700	162	14	.	.	PUNCT
asir-56700	163	1	he	he	PRON
asir-56700	163	2	is	be	AUX
asir-56700	163	3	the	the	DET
asir-56700	163	4	author	author	NOUN
asir-56700	163	5	of	of	ADP
asir-56700	163	6	10	10	NUM
asir-56700	163	7	books	book	NOUN
asir-56700	163	8	.	.	PUNCT
asir-56700	164	1	three	three	NUM
asir-56700	164	2	books	book	NOUN
asir-56700	164	3	are	be	AUX
asir-56700	164	4	published	publish	VERB
asir-56700	164	5	in	in	ADP
asir-56700	164	6	russian	russian	NOUN
asir-56700	164	7	,	,	PUNCT
asir-56700	164	8	including	include	VERB
asir-56700	164	9	“	"	PUNCT
asir-56700	164	10	monopole	monopole	ADJ
asir-56700	164	11	and	and	CCONJ
asir-56700	164	12	dipole	dipole	NOUN
asir-56700	164	13	antennas	antenna	NOUN
asir-56700	164	14	for	for	ADP
asir-56700	164	15	marine	marine	ADJ
asir-56700	164	16	-	-	PUNCT
asir-56700	164	17	vehicle	vehicle	NOUN
asir-56700	164	18	radio	radio	NOUN
asir-56700	164	19	communications	communication	NOUN
asir-56700	164	20	(	(	PUNCT
asir-56700	164	21	s.petersburg	s.petersburg	NOUN
asir-56700	164	22	:	:	PUNCT
asir-56700	164	23	abris	abris	PROPN
asir-56700	164	24	,	,	PUNCT
asir-56700	164	25	1998	1998	NUM
asir-56700	164	26	)	)	PUNCT
asir-56700	164	27	.	.	PUNCT
asir-56700	165	1	seven	seven	NUM
asir-56700	165	2	books	book	NOUN
asir-56700	165	3	are	be	AUX
asir-56700	165	4	published	publish	VERB
asir-56700	165	5	in	in	ADP
asir-56700	165	6	english	english	PROPN
asir-56700	165	7	,	,	PUNCT
asir-56700	165	8	including	include	VERB
asir-56700	165	9	“	"	PUNCT
asir-56700	165	10	the	the	DET
asir-56700	165	11	theory	theory	NOUN
asir-56700	165	12	of	of	ADP
asir-56700	165	13	thin	thin	ADJ
asir-56700	165	14	antennas	antenna	NOUN
asir-56700	165	15	and	and	CCONJ
asir-56700	165	16	its	its	PRON
asir-56700	165	17	use	use	NOUN
asir-56700	165	18	in	in	ADP
asir-56700	165	19	antenna	antenna	NOUN
asir-56700	165	20	engineering	engineering	NOUN
asir-56700	165	21	”	"	PUNCT
asir-56700	165	22	(	(	PUNCT
asir-56700	165	23	bentham	bentham	PROPN
asir-56700	165	24	science	science	NOUN
asir-56700	165	25	publishers	publisher	NOUN
asir-56700	165	26	,	,	PUNCT
asir-56700	165	27	2013	2013	NUM
asir-56700	165	28	)	)	PUNCT
asir-56700	165	29	,	,	PUNCT
asir-56700	165	30	“	"	PUNCT
asir-56700	165	31	method	method	NOUN
asir-56700	165	32	of	of	ADP
asir-56700	165	33	complex	complex	ADJ
asir-56700	165	34	potential	potential	NOUN
asir-56700	165	35	in	in	ADP
asir-56700	165	36	antenna	antenna	NOUN
asir-56700	165	37	engineering	engineering	NOUN
asir-56700	165	38	”	"	PUNCT
asir-56700	165	39	(	(	PUNCT
asir-56700	165	40	lap	lap	NOUN
asir-56700	165	41	,	,	PUNCT
asir-56700	165	42	2014	2014	NUM
asir-56700	165	43	)	)	PUNCT
asir-56700	165	44	,	,	PUNCT
asir-56700	165	45	“	"	PUNCT
asir-56700	165	46	inverse	inverse	ADJ
asir-56700	165	47	problems	problem	NOUN
asir-56700	165	48	of	of	ADP
asir-56700	165	49	antennas	antenna	NOUN
asir-56700	165	50	theory	theory	NOUN
asir-56700	165	51	”	"	PUNCT
asir-56700	165	52	(	(	PUNCT
asir-56700	165	53	lap	lap	NOUN
asir-56700	165	54	,	,	PUNCT
asir-56700	165	55	2014	2014	NUM
asir-56700	165	56	)	)	PUNCT
asir-56700	165	57	,	,	PUNCT
asir-56700	165	58	“	"	PUNCT
asir-56700	165	59	antenna	antenna	NOUN
asir-56700	165	60	engineering	engineering	NOUN
asir-56700	165	61	.	.	PUNCT
asir-56700	166	1	theory	theory	NOUN
asir-56700	166	2	and	and	CCONJ
asir-56700	166	3	problems	problem	NOUN
asir-56700	166	4	”	"	PUNCT
asir-56700	166	5	(	(	PUNCT
asir-56700	166	6	crc	crc	NOUN
asir-56700	166	7	press	press	NOUN
asir-56700	166	8	,	,	PUNCT
asir-56700	166	9	2017	2017	NUM
asir-56700	166	10	)	)	PUNCT
asir-56700	166	11	,	,	PUNCT
asir-56700	166	12	“	"	PUNCT
asir-56700	166	13	wide	wide	ADJ
asir-56700	166	14	-	-	PUNCT
asir-56700	166	15	range	range	NOUN
asir-56700	166	16	and	and	CCONJ
asir-56700	166	17	multi	multi	ADJ
asir-56700	166	18	-	-	ADJ
asir-56700	166	19	frequency	frequency	ADJ
asir-56700	166	20	antennas	antenna	NOUN
asir-56700	166	21	”	"	PUNCT
asir-56700	166	22	(	(	PUNCT
asir-56700	166	23	crc	crc	NOUN
asir-56700	166	24	press	press	NOUN
asir-56700	166	25	,	,	PUNCT
asir-56700	166	26	2019	2019	NUM
asir-56700	166	27	)	)	PUNCT
asir-56700	166	28	,	,	PUNCT
asir-56700	166	29	“	"	PUNCT
asir-56700	166	30	antennas	antenna	NOUN
asir-56700	166	31	:	:	PUNCT
asir-56700	166	32	rigorous	rigorous	ADJ
asir-56700	166	33	methods	method	NOUN
asir-56700	166	34	of	of	ADP
asir-56700	166	35	analysis	analysis	NOUN
asir-56700	166	36	and	and	CCONJ
asir-56700	166	37	synthesis	synthesis	NOUN
asir-56700	166	38	”	"	PUNCT
asir-56700	166	39	(	(	PUNCT
asir-56700	166	40	crc	crc	NOUN
asir-56700	166	41	press	press	NOUN
asir-56700	166	42	,	,	PUNCT
asir-56700	166	43	2021	2021	NUM
asir-56700	166	44	)	)	PUNCT
asir-56700	166	45	and	and	CCONJ
asir-56700	166	46	“	"	PUNCT
asir-56700	166	47	antennas	antenna	NOUN
asir-56700	166	48	:	:	PUNCT
asir-56700	166	49	from	from	ADP
asir-56700	166	50	the	the	DET
asir-56700	166	51	theory	theory	NOUN
asir-56700	166	52	of	of	ADP
asir-56700	166	53	long	long	ADJ
asir-56700	166	54	lines	line	NOUN
asir-56700	166	55	to	to	ADP
asir-56700	166	56	integral	integral	ADJ
asir-56700	166	57	equations	equation	NOUN
asir-56700	166	58	(	(	PUNCT
asir-56700	166	59	crc	crc	NOUN
asir-56700	166	60	press	press	NOUN
asir-56700	166	61	,	,	PUNCT
asir-56700	166	62	2024	2024	NUM
asir-56700	166	63	)	)	PUNCT
asir-56700	166	64	.	.	PUNCT
asir-56700	167	1	also	also	ADV
asir-56700	167	2	,	,	PUNCT
asir-56700	167	3	he	he	PRON
asir-56700	167	4	is	be	AUX
asir-56700	167	5	the	the	DET
asir-56700	167	6	author	author	NOUN
asir-56700	167	7	of	of	ADP
asir-56700	167	8	95	95	NUM
asir-56700	167	9	papers	paper	NOUN
asir-56700	167	10	in	in	ADP
asir-56700	167	11	technical	technical	ADJ
asir-56700	167	12	journals	journal	NOUN
asir-56700	167	13	,	,	PUNCT
asir-56700	167	14	of	of	ADP
asir-56700	167	15	102	102	NUM
asir-56700	167	16	papers	paper	NOUN
asir-56700	167	17	on	on	ADP
asir-56700	167	18	scientific	scientific	ADJ
asir-56700	167	19	conferences	conference	NOUN
asir-56700	167	20	and	and	CCONJ
asir-56700	167	21	of	of	ADP
asir-56700	167	22	43	43	NUM
asir-56700	167	23	patents	patent	NOUN
asir-56700	167	24	.	.	PUNCT
asir-56700	168	1	нis	нis	NOUN
asir-56700	168	2	main	main	ADJ
asir-56700	168	3	research	research	NOUN
asir-56700	168	4	interests	interest	NOUN
asir-56700	168	5	are	be	AUX
asir-56700	168	6	in	in	ADP
asir-56700	168	7	the	the	DET
asir-56700	168	8	fields	field	NOUN
asir-56700	168	9	of	of	ADP
asir-56700	168	10	electromagnetic	electromagnetic	ADJ
asir-56700	168	11	theory	theory	NOUN
asir-56700	168	12	,	,	PUNCT
asir-56700	168	13	the	the	DET
asir-56700	168	14	theory	theory	NOUN
asir-56700	168	15	of	of	ADP
asir-56700	168	16	antennas	antenna	NOUN
asir-56700	168	17	and	and	CCONJ
asir-56700	168	18	antennas	antenna	NOUN
asir-56700	168	19	’	'	PUNCT
asir-56700	168	20	optimization	optimization	NOUN
asir-56700	168	21	.	.	PUNCT
asir-56700	169	1	references	reference	NOUN
asir-56700	169	2	fradin	fradin	VERB
asir-56700	169	3	,	,	PUNCT
asir-56700	169	4	a.	a.	PROPN
asir-56700	169	5	z.	z.	PROPN
asir-56700	169	6	(	(	PUNCT
asir-56700	169	7	1977	1977	NUM
asir-56700	169	8	)	)	PUNCT
asir-56700	169	9	.	.	PUNCT
asir-56700	170	1	antenna	antenna	NOUN
asir-56700	170	2	-	-	PUNCT
asir-56700	170	3	feeder	feeder	NOUN
asir-56700	170	4	devices	device	NOUN
asir-56700	170	5	.	.	PUNCT
asir-56700	171	1	moscow	moscow	PROPN
asir-56700	171	2	:	:	PUNCT
asir-56700	171	3	communications	communication	NOUN
asir-56700	171	4	.	.	PUNCT
asir-56700	172	1	(	(	PUNCT
asir-56700	172	2	in	in	ADP
asir-56700	172	3	russian	russian	NOUN
asir-56700	172	4	)	)	PUNCT
asir-56700	172	5	.	.	PUNCT
asir-56700	173	1	kalantarov	kalantarov	PROPN
asir-56700	173	2	,	,	PUNCT
asir-56700	173	3	p.	p.	PROPN
asir-56700	173	4	l.	l.	PROPN
asir-56700	173	5	,	,	PUNCT
asir-56700	173	6	&	&	CCONJ
asir-56700	173	7	cheytlin	cheytlin	PROPN
asir-56700	173	8	,	,	PUNCT
asir-56700	173	9	l.	l.	PROPN
asir-56700	173	10	a.	a.	PROPN
asir-56700	173	11	(	(	PUNCT
asir-56700	173	12	1986	1986	NUM
asir-56700	173	13	)	)	PUNCT
asir-56700	173	14	.	.	PUNCT
asir-56700	174	1	calculation	calculation	NOUN
asir-56700	174	2	of	of	ADP
asir-56700	174	3	inductances	inductance	NOUN
asir-56700	174	4	.	.	PUNCT
asir-56700	175	1	leningrad	leningrad	PROPN
asir-56700	175	2	:	:	PUNCT
asir-56700	175	3	energoatomizdat	energoatomizdat	PROPN
asir-56700	175	4	.	.	PUNCT
asir-56700	176	1	(	(	PUNCT
asir-56700	176	2	in	in	ADP
asir-56700	176	3	russian	russian	NOUN
asir-56700	176	4	)	)	PUNCT
asir-56700	176	5	.	.	PUNCT
asir-56700	177	1	leontovich	leontovich	NOUN
asir-56700	177	2	,	,	PUNCT
asir-56700	177	3	m.	m.	NOUN
asir-56700	177	4	a.	a.	PROPN
asir-56700	177	5	,	,	PUNCT
asir-56700	177	6	&	&	CCONJ
asir-56700	177	7	levin	levin	PROPN
asir-56700	177	8	,	,	PUNCT
asir-56700	177	9	m.	m.	PROPN
asir-56700	177	10	l.	l.	PROPN
asir-56700	177	11	(	(	PUNCT
asir-56700	177	12	1944	1944	NUM
asir-56700	177	13	)	)	PUNCT
asir-56700	177	14	.	.	PUNCT
asir-56700	178	1	on	on	ADP
asir-56700	178	2	the	the	DET
asir-56700	178	3	theory	theory	NOUN
asir-56700	178	4	of	of	ADP
asir-56700	178	5	oscillation	oscillation	NOUN
asir-56700	178	6	excitation	excitation	NOUN
asir-56700	178	7	in	in	ADP
asir-56700	178	8	linear	linear	ADJ
asir-56700	178	9	radiators	radiator	NOUN
asir-56700	178	10	.	.	PUNCT
asir-56700	179	1	journal	journal	NOUN
asir-56700	179	2	of	of	ADP
asir-56700	179	3	technical	technical	ADJ
asir-56700	179	4	physics	physics	NOUN
asir-56700	179	5	,	,	PUNCT
asir-56700	179	6	14(9	14(9	NUM
asir-56700	179	7	)	)	PUNCT
asir-56700	179	8	,	,	PUNCT
asir-56700	179	9	481	481	NUM
asir-56700	179	10	-	-	SYM
asir-56700	179	11	506	506	NUM
asir-56700	179	12	.	.	PUNCT
asir-56700	180	1	(	(	PUNCT
asir-56700	180	2	in	in	ADP
asir-56700	180	3	russian	russian	NOUN
asir-56700	180	4	)	)	PUNCT
asir-56700	180	5	.	.	PUNCT
asir-56700	181	1	levin	levin	PROPN
asir-56700	181	2	,	,	PUNCT
asir-56700	181	3	b.	b.	PROPN
asir-56700	181	4	m.	m.	PROPN
asir-56700	181	5	(	(	PUNCT
asir-56700	181	6	2025	2025	NUM
asir-56700	181	7	)	)	PUNCT
asir-56700	181	8	.	.	PUNCT
asir-56700	182	1	antennas	antennas	PROPN
asir-56700	182	2	.	.	PUNCT
asir-56700	183	1	from	from	ADP
asir-56700	183	2	the	the	DET
asir-56700	183	3	theory	theory	NOUN
asir-56700	183	4	of	of	ADP
asir-56700	183	5	long	long	ADJ
asir-56700	183	6	lines	line	NOUN
asir-56700	183	7	to	to	ADP
asir-56700	183	8	integral	integral	ADJ
asir-56700	183	9	equations	equation	NOUN
asir-56700	183	10	.	.	PUNCT
asir-56700	184	1	london	london	PROPN
asir-56700	184	2	,	,	PUNCT
asir-56700	184	3	new	new	PROPN
asir-56700	184	4	york	york	PROPN
asir-56700	184	5	:	:	PUNCT
asir-56700	184	6	crc	crc	PROPN
asir-56700	184	7	press	press	PROPN
asir-56700	184	8	.	.	PUNCT
asir-56700	185	1	miller	miller	PROPN
asir-56700	185	2	,	,	PUNCT
asir-56700	185	3	m.	m.	NOUN
asir-56700	185	4	a.	a.	PROPN
asir-56700	185	5	(	(	PUNCT
asir-56700	185	6	1954	1954	NUM
asir-56700	185	7	)	)	PUNCT
asir-56700	185	8	.	.	PUNCT
asir-56700	186	1	application	application	NOUN
asir-56700	186	2	of	of	ADP
asir-56700	186	3	homogeneous	homogeneous	ADJ
asir-56700	186	4	boundary	boundary	ADJ
asir-56700	186	5	conditions	condition	NOUN
asir-56700	186	6	to	to	ADP
asir-56700	186	7	the	the	DET
asir-56700	186	8	theory	theory	NOUN
asir-56700	186	9	of	of	ADP
asir-56700	186	10	thin	thin	PROPN
asir-56700	186	11	antennas	antenna	NOUN
asir-56700	186	12	.	.	PUNCT
asir-56700	187	1	journal	journal	PROPN
asir-56700	187	2	of	of	ADP
asir-56700	187	3	technical	technical	ADJ
asir-56700	187	4	physics	physics	PROPN
asir-56700	187	5	,	,	PUNCT
asir-56700	187	6	24(8	24(8	NUM
asir-56700	187	7	)	)	PUNCT
asir-56700	187	8	,	,	PUNCT
asir-56700	187	9	1483	1483	NUM
asir-56700	187	10	-	-	SYM
asir-56700	187	11	1495	1495	NUM
asir-56700	187	12	.	.	PUNCT
asir-56700	188	1	(	(	PUNCT
asir-56700	188	2	in	in	ADP
asir-56700	188	3	russian	russian	NOUN
asir-56700	188	4	)	)	PUNCT
asir-56700	188	5	.	.	PUNCT
asir-56700	189	1	vainshtein	vainshtein	PROPN
asir-56700	189	2	,	,	PUNCT
asir-56700	189	3	l.	l.	PROPN
asir-56700	189	4	a.	a.	PROPN
asir-56700	189	5	(	(	PUNCT
asir-56700	189	6	1959	1959	NUM
asir-56700	189	7	-	-	SYM
asir-56700	189	8	1961	1961	NUM
asir-56700	189	9	)	)	PUNCT
asir-56700	189	10	.	.	PUNCT
asir-56700	190	1	waves	wave	NOUN
asir-56700	190	2	of	of	ADP
asir-56700	190	3	a	a	DET
asir-56700	190	4	current	current	NOUN
asir-56700	190	5	in	in	ADP
asir-56700	190	6	a	a	DET
asir-56700	190	7	thin	thin	ADJ
asir-56700	190	8	cylindrical	cylindrical	ADJ
asir-56700	190	9	conductor	conductor	NOUN
asir-56700	190	10	.	.	PUNCT
asir-56700	190	11	”	"	PUNCT
asir-56700	191	1	journal	journal	NOUN
asir-56700	191	2	of	of	ADP
asir-56700	191	3	technical	technical	ADJ
asir-56700	191	4	physics	physics	PROPN
asir-56700	191	5	,	,	PUNCT
asir-56700	191	6	29(6	29(6	NUM
asir-56700	191	7	)	)	PUNCT
asir-56700	191	8	,	,	PUNCT
asir-56700	191	9	673	673	NUM
asir-56700	191	10	-	-	SYM
asir-56700	191	11	699	699	NUM
asir-56700	191	12	,	,	PUNCT
asir-56700	191	13	and	and	CCONJ
asir-56700	191	14	31(1	31(1	NUM
asir-56700	191	15	)	)	PUNCT
asir-56700	191	16	,	,	PUNCT
asir-56700	191	17	29	29	NUM
asir-56700	191	18	-	-	SYM
asir-56700	191	19	50	50	NUM
asir-56700	191	20	.	.	PUNCT
asir-56700	192	1	(	(	PUNCT
asir-56700	192	2	in	in	ADP
asir-56700	192	3	russian	russian	NOUN
asir-56700	192	4	)	)	PUNCT
asir-56700	192	5	.	.	PUNCT