id	sid	tid	token	lemma	pos
fuelectenerg-2758	1	1	instruction	instruction	NOUN
fuelectenerg-2758	1	2	facta	facta	PROPN
fuelectenerg-2758	1	3	universitatis	universitatis	PROPN
fuelectenerg-2758	1	4	series	series	NOUN
fuelectenerg-2758	1	5	:	:	PUNCT
fuelectenerg-2758	1	6	electronics	electronic	NOUN
fuelectenerg-2758	1	7	and	and	CCONJ
fuelectenerg-2758	1	8	energetics	energetics	NOUN
fuelectenerg-2758	1	9	vol	vol	NOUN
fuelectenerg-2758	1	10	.	.	PROPN
fuelectenerg-2758	1	11	30	30	NUM
fuelectenerg-2758	1	12	,	,	PUNCT
fuelectenerg-2758	1	13	no	no	DET
fuelectenerg-2758	1	14	4	4	NUM
fuelectenerg-2758	1	15	,	,	PUNCT
fuelectenerg-2758	1	16	december	december	PROPN
fuelectenerg-2758	1	17	2017	2017	NUM
fuelectenerg-2758	1	18	,	,	PUNCT
fuelectenerg-2758	1	19	pp	pp	ADJ
fuelectenerg-2758	1	20	.	.	PUNCT
fuelectenerg-2758	2	1	639	639	NUM
fuelectenerg-2758	2	2	646	646	NUM
fuelectenerg-2758	2	3	doi	doi	NOUN
fuelectenerg-2758	2	4	:	:	PUNCT
fuelectenerg-2758	2	5	10.2298	10.2298	NUM
fuelectenerg-2758	2	6	/	/	SYM
fuelectenerg-2758	2	7	fuee1704639d	fuee1704639d	NOUN
fuelectenerg-2758	2	8	exact	exact	ADJ
fuelectenerg-2758	2	9	analytical	analytical	ADJ
fuelectenerg-2758	2	10	solutions	solution	NOUN
fuelectenerg-2758	2	11	of	of	ADP
fuelectenerg-2758	2	12	continuously	continuously	ADV
fuelectenerg-2758	2	13	graded	grade	VERB
fuelectenerg-2758	2	14	models	model	NOUN
fuelectenerg-2758	2	15	of	of	ADP
fuelectenerg-2758	2	16	flat	flat	ADJ
fuelectenerg-2758	2	17	lenses	lense	NOUN
fuelectenerg-2758	2	18	based	base	VERB
fuelectenerg-2758	2	19	on	on	ADP
fuelectenerg-2758	2	20	transformation	transformation	NOUN
fuelectenerg-2758	2	21	optics	optics	X
fuelectenerg-2758	2	22	mariana	mariana	PROPN
fuelectenerg-2758	2	23	dalarsson	dalarsson	PROPN
fuelectenerg-2758	2	24	1	1	NUM
fuelectenerg-2758	2	25	,	,	PUNCT
fuelectenerg-2758	2	26	raj	raj	PROPN
fuelectenerg-2758	2	27	mittra	mittra	PROPN
fuelectenerg-2758	2	28	2	2	NUM
fuelectenerg-2758	2	29	1	1	NUM
fuelectenerg-2758	2	30	department	department	NOUN
fuelectenerg-2758	2	31	of	of	ADP
fuelectenerg-2758	2	32	physics	physics	PROPN
fuelectenerg-2758	2	33	and	and	CCONJ
fuelectenerg-2758	2	34	electrical	electrical	ADJ
fuelectenerg-2758	2	35	engineering	engineering	NOUN
fuelectenerg-2758	2	36	,	,	PUNCT
fuelectenerg-2758	2	37	linnaeus	linnaeus	PROPN
fuelectenerg-2758	2	38	university	university	NOUN
fuelectenerg-2758	2	39	,	,	PUNCT
fuelectenerg-2758	2	40	växjö	växjö	PROPN
fuelectenerg-2758	2	41	,	,	PUNCT
fuelectenerg-2758	2	42	sweden	sweden	PROPN
fuelectenerg-2758	2	43	2	2	NUM
fuelectenerg-2758	2	44	emc	emc	PROPN
fuelectenerg-2758	2	45	laboratory	laboratory	NOUN
fuelectenerg-2758	2	46	,	,	PUNCT
fuelectenerg-2758	2	47	department	department	NOUN
fuelectenerg-2758	2	48	of	of	ADP
fuelectenerg-2758	2	49	electrical	electrical	ADJ
fuelectenerg-2758	2	50	engineering	engineering	NOUN
fuelectenerg-2758	2	51	,	,	PUNCT
fuelectenerg-2758	2	52	the	the	DET
fuelectenerg-2758	2	53	pennsylvania	pennsylvania	PROPN
fuelectenerg-2758	2	54	state	state	PROPN
fuelectenerg-2758	2	55	university	university	PROPN
fuelectenerg-2758	2	56	,	,	PUNCT
fuelectenerg-2758	2	57	university	university	NOUN
fuelectenerg-2758	2	58	park	park	NOUN
fuelectenerg-2758	2	59	,	,	PUNCT
fuelectenerg-2758	2	60	pa	pa	PROPN
fuelectenerg-2758	2	61	,	,	PUNCT
fuelectenerg-2758	2	62	usa	usa	PROPN
fuelectenerg-2758	2	63	abstract	abstract	PROPN
fuelectenerg-2758	2	64	.	.	PUNCT
fuelectenerg-2758	3	1	we	we	PRON
fuelectenerg-2758	3	2	present	present	VERB
fuelectenerg-2758	3	3	a	a	DET
fuelectenerg-2758	3	4	study	study	NOUN
fuelectenerg-2758	3	5	of	of	ADP
fuelectenerg-2758	3	6	exact	exact	ADJ
fuelectenerg-2758	3	7	analytic	analytic	ADJ
fuelectenerg-2758	3	8	solutions	solution	NOUN
fuelectenerg-2758	3	9	for	for	ADP
fuelectenerg-2758	3	10	electric	electric	ADJ
fuelectenerg-2758	3	11	and	and	CCONJ
fuelectenerg-2758	3	12	magnetic	magnetic	ADJ
fuelectenerg-2758	3	13	fields	field	NOUN
fuelectenerg-2758	3	14	in	in	ADP
fuelectenerg-2758	3	15	continuously	continuously	ADV
fuelectenerg-2758	3	16	graded	grade	VERB
fuelectenerg-2758	3	17	flat	flat	ADJ
fuelectenerg-2758	3	18	lenses	lense	NOUN
fuelectenerg-2758	3	19	designed	design	VERB
fuelectenerg-2758	3	20	utilizing	utilize	VERB
fuelectenerg-2758	3	21	transformation	transformation	NOUN
fuelectenerg-2758	3	22	optics	optic	NOUN
fuelectenerg-2758	3	23	.	.	PUNCT
fuelectenerg-2758	4	1	the	the	DET
fuelectenerg-2758	4	2	lenses	lense	NOUN
fuelectenerg-2758	4	3	typically	typically	ADV
fuelectenerg-2758	4	4	consist	consist	VERB
fuelectenerg-2758	4	5	of	of	ADP
fuelectenerg-2758	4	6	a	a	DET
fuelectenerg-2758	4	7	number	number	NOUN
fuelectenerg-2758	4	8	of	of	ADP
fuelectenerg-2758	4	9	layers	layer	NOUN
fuelectenerg-2758	4	10	of	of	ADP
fuelectenerg-2758	4	11	graded	grade	VERB
fuelectenerg-2758	4	12	index	index	NOUN
fuelectenerg-2758	4	13	dielectrics	dielectric	NOUN
fuelectenerg-2758	4	14	in	in	ADP
fuelectenerg-2758	4	15	both	both	CCONJ
fuelectenerg-2758	4	16	the	the	DET
fuelectenerg-2758	4	17	radial	radial	ADJ
fuelectenerg-2758	4	18	and	and	CCONJ
fuelectenerg-2758	4	19	longitudinal	longitudinal	ADJ
fuelectenerg-2758	4	20	directions	direction	NOUN
fuelectenerg-2758	4	21	,	,	PUNCT
fuelectenerg-2758	4	22	where	where	SCONJ
fuelectenerg-2758	4	23	the	the	DET
fuelectenerg-2758	4	24	central	central	ADJ
fuelectenerg-2758	4	25	layer	layer	NOUN
fuelectenerg-2758	4	26	in	in	ADP
fuelectenerg-2758	4	27	the	the	DET
fuelectenerg-2758	4	28	longitudinal	longitudinal	ADJ
fuelectenerg-2758	4	29	direction	direction	NOUN
fuelectenerg-2758	4	30	primarily	primarily	ADV
fuelectenerg-2758	4	31	contributes	contribute	VERB
fuelectenerg-2758	4	32	to	to	ADP
fuelectenerg-2758	4	33	a	a	DET
fuelectenerg-2758	4	34	bulk	bulk	NOUN
fuelectenerg-2758	4	35	of	of	ADP
fuelectenerg-2758	4	36	the	the	DET
fuelectenerg-2758	4	37	phase	phase	NOUN
fuelectenerg-2758	4	38	transformation	transformation	NOUN
fuelectenerg-2758	4	39	,	,	PUNCT
fuelectenerg-2758	4	40	while	while	SCONJ
fuelectenerg-2758	4	41	other	other	ADJ
fuelectenerg-2758	4	42	layers	layer	NOUN
fuelectenerg-2758	4	43	act	act	VERB
fuelectenerg-2758	4	44	as	as	ADP
fuelectenerg-2758	4	45	matching	match	VERB
fuelectenerg-2758	4	46	layers	layer	NOUN
fuelectenerg-2758	4	47	and	and	CCONJ
fuelectenerg-2758	4	48	reduce	reduce	VERB
fuelectenerg-2758	4	49	the	the	DET
fuelectenerg-2758	4	50	reflections	reflection	NOUN
fuelectenerg-2758	4	51	at	at	ADP
fuelectenerg-2758	4	52	the	the	DET
fuelectenerg-2758	4	53	interfaces	interface	NOUN
fuelectenerg-2758	4	54	of	of	ADP
fuelectenerg-2758	4	55	the	the	DET
fuelectenerg-2758	4	56	middle	middle	ADJ
fuelectenerg-2758	4	57	layer	layer	NOUN
fuelectenerg-2758	4	58	.	.	PUNCT
fuelectenerg-2758	5	1	such	such	ADJ
fuelectenerg-2758	5	2	lenses	lense	NOUN
fuelectenerg-2758	5	3	can	can	AUX
fuelectenerg-2758	5	4	be	be	AUX
fuelectenerg-2758	5	5	modeled	model	VERB
fuelectenerg-2758	5	6	as	as	ADP
fuelectenerg-2758	5	7	compact	compact	ADJ
fuelectenerg-2758	5	8	composites	composite	NOUN
fuelectenerg-2758	5	9	with	with	ADP
fuelectenerg-2758	5	10	continuous	continuous	ADJ
fuelectenerg-2758	5	11	permittivity	permittivity	NOUN
fuelectenerg-2758	5	12	(	(	PUNCT
fuelectenerg-2758	5	13	and	and	CCONJ
fuelectenerg-2758	5	14	if	if	SCONJ
fuelectenerg-2758	5	15	needed	need	VERB
fuelectenerg-2758	5	16	)	)	PUNCT
fuelectenerg-2758	5	17	permeability	permeability	NOUN
fuelectenerg-2758	5	18	functions	function	NOUN
fuelectenerg-2758	5	19	which	which	PRON
fuelectenerg-2758	5	20	asymptotically	asymptotically	ADV
fuelectenerg-2758	5	21	approach	approach	VERB
fuelectenerg-2758	5	22	unity	unity	NOUN
fuelectenerg-2758	5	23	at	at	ADP
fuelectenerg-2758	5	24	the	the	DET
fuelectenerg-2758	5	25	boundaries	boundary	NOUN
fuelectenerg-2758	5	26	of	of	ADP
fuelectenerg-2758	5	27	the	the	DET
fuelectenerg-2758	5	28	composite	composite	ADJ
fuelectenerg-2758	5	29	cylinder	cylinder	NOUN
fuelectenerg-2758	5	30	.	.	PUNCT
fuelectenerg-2758	6	1	we	we	PRON
fuelectenerg-2758	6	2	illustrate	illustrate	VERB
fuelectenerg-2758	6	3	the	the	DET
fuelectenerg-2758	6	4	proposed	propose	VERB
fuelectenerg-2758	6	5	procedures	procedure	NOUN
fuelectenerg-2758	6	6	by	by	ADP
fuelectenerg-2758	6	7	obtaining	obtain	VERB
fuelectenerg-2758	6	8	the	the	DET
fuelectenerg-2758	6	9	exact	exact	ADJ
fuelectenerg-2758	6	10	analytic	analytic	ADJ
fuelectenerg-2758	6	11	solutions	solution	NOUN
fuelectenerg-2758	6	12	for	for	ADP
fuelectenerg-2758	6	13	the	the	DET
fuelectenerg-2758	6	14	electric	electric	ADJ
fuelectenerg-2758	6	15	and	and	CCONJ
fuelectenerg-2758	6	16	magnetic	magnetic	ADJ
fuelectenerg-2758	6	17	fields	field	NOUN
fuelectenerg-2758	6	18	for	for	ADP
fuelectenerg-2758	6	19	one	one	NUM
fuelectenerg-2758	6	20	simple	simple	ADJ
fuelectenerg-2758	6	21	special	special	ADJ
fuelectenerg-2758	6	22	class	class	NOUN
fuelectenerg-2758	6	23	of	of	ADP
fuelectenerg-2758	6	24	composite	composite	ADJ
fuelectenerg-2758	6	25	designs	design	NOUN
fuelectenerg-2758	6	26	with	with	ADP
fuelectenerg-2758	6	27	radially	radially	ADV
fuelectenerg-2758	6	28	graded	grade	VERB
fuelectenerg-2758	6	29	parameters	parameter	NOUN
fuelectenerg-2758	6	30	.	.	PUNCT
fuelectenerg-2758	7	1	to	to	ADP
fuelectenerg-2758	7	2	this	this	DET
fuelectenerg-2758	7	3	purpose	purpose	NOUN
fuelectenerg-2758	7	4	we	we	PRON
fuelectenerg-2758	7	5	utilize	utilize	VERB
fuelectenerg-2758	7	6	the	the	DET
fuelectenerg-2758	7	7	equivalence	equivalence	NOUN
fuelectenerg-2758	7	8	between	between	ADP
fuelectenerg-2758	7	9	the	the	DET
fuelectenerg-2758	7	10	helmholtz	helmholtz	NOUN
fuelectenerg-2758	7	11	equation	equation	NOUN
fuelectenerg-2758	7	12	of	of	ADP
fuelectenerg-2758	7	13	our	our	PRON
fuelectenerg-2758	7	14	graded	grade	VERB
fuelectenerg-2758	7	15	flat	flat	ADJ
fuelectenerg-2758	7	16	lens	lens	NOUN
fuelectenerg-2758	7	17	and	and	CCONJ
fuelectenerg-2758	7	18	the	the	DET
fuelectenerg-2758	7	19	quantummechanical	quantummechanical	ADJ
fuelectenerg-2758	7	20	radial	radial	ADJ
fuelectenerg-2758	7	21	schrödinger	schrödinger	ADJ
fuelectenerg-2758	7	22	equation	equation	NOUN
fuelectenerg-2758	7	23	with	with	ADP
fuelectenerg-2758	7	24	coulomb	coulomb	NOUN
fuelectenerg-2758	7	25	potential	potential	NOUN
fuelectenerg-2758	7	26	,	,	PUNCT
fuelectenerg-2758	7	27	furnishing	furnish	VERB
fuelectenerg-2758	7	28	the	the	DET
fuelectenerg-2758	7	29	results	result	NOUN
fuelectenerg-2758	7	30	in	in	ADP
fuelectenerg-2758	7	31	the	the	DET
fuelectenerg-2758	7	32	form	form	NOUN
fuelectenerg-2758	7	33	of	of	ADP
fuelectenerg-2758	7	34	kummer	kummer	NOUN
fuelectenerg-2758	7	35	confluent	confluent	ADJ
fuelectenerg-2758	7	36	hypergeometric	hypergeometric	ADJ
fuelectenerg-2758	7	37	functions	function	NOUN
fuelectenerg-2758	7	38	.	.	PUNCT
fuelectenerg-2758	8	1	our	our	PRON
fuelectenerg-2758	8	2	approach	approach	NOUN
fuelectenerg-2758	8	3	allows	allow	VERB
fuelectenerg-2758	8	4	for	for	ADP
fuelectenerg-2758	8	5	a	a	DET
fuelectenerg-2758	8	6	better	well	ADJ
fuelectenerg-2758	8	7	physical	physical	ADJ
fuelectenerg-2758	8	8	insight	insight	NOUN
fuelectenerg-2758	8	9	into	into	ADP
fuelectenerg-2758	8	10	the	the	DET
fuelectenerg-2758	8	11	operation	operation	NOUN
fuelectenerg-2758	8	12	of	of	ADP
fuelectenerg-2758	8	13	our	our	PRON
fuelectenerg-2758	8	14	transformation	transformation	NOUN
fuelectenerg-2758	8	15	optics	optic	NOUN
fuelectenerg-2758	8	16	-	-	PUNCT
fuelectenerg-2758	8	17	based	base	VERB
fuelectenerg-2758	8	18	graded	grade	VERB
fuelectenerg-2758	8	19	lenses	lense	NOUN
fuelectenerg-2758	8	20	and	and	CCONJ
fuelectenerg-2758	8	21	opens	open	VERB
fuelectenerg-2758	8	22	a	a	DET
fuelectenerg-2758	8	23	path	path	NOUN
fuelectenerg-2758	8	24	toward	toward	ADP
fuelectenerg-2758	8	25	novel	novel	ADJ
fuelectenerg-2758	8	26	designs	design	NOUN
fuelectenerg-2758	8	27	and	and	CCONJ
fuelectenerg-2758	8	28	approaches	approach	NOUN
fuelectenerg-2758	8	29	.	.	PUNCT
fuelectenerg-2758	9	1	key	key	ADJ
fuelectenerg-2758	9	2	words	word	NOUN
fuelectenerg-2758	9	3	:	:	PUNCT
fuelectenerg-2758	9	4	flat	flat	ADJ
fuelectenerg-2758	9	5	lenses	lense	NOUN
fuelectenerg-2758	9	6	,	,	PUNCT
fuelectenerg-2758	9	7	graded	grade	VERB
fuelectenerg-2758	9	8	permittivity	permittivity	NOUN
fuelectenerg-2758	9	9	and	and	CCONJ
fuelectenerg-2758	9	10	permeability	permeability	NOUN
fuelectenerg-2758	9	11	models	model	NOUN
fuelectenerg-2758	9	12	,	,	PUNCT
fuelectenerg-2758	9	13	transformation	transformation	NOUN
fuelectenerg-2758	9	14	optics	optic	NOUN
fuelectenerg-2758	9	15	,	,	PUNCT
fuelectenerg-2758	9	16	exact	exact	ADJ
fuelectenerg-2758	9	17	analytical	analytical	ADJ
fuelectenerg-2758	9	18	solutions	solution	NOUN
fuelectenerg-2758	9	19	1	1	NUM
fuelectenerg-2758	9	20	.	.	PUNCT
fuelectenerg-2758	10	1	introduction	introduction	NOUN
fuelectenerg-2758	10	2	flat	flat	ADJ
fuelectenerg-2758	10	3	lenses	lense	NOUN
fuelectenerg-2758	10	4	designs	design	NOUN
fuelectenerg-2758	10	5	based	base	VERB
fuelectenerg-2758	10	6	on	on	ADP
fuelectenerg-2758	10	7	transformation	transformation	NOUN
fuelectenerg-2758	10	8	optics	optic	NOUN
fuelectenerg-2758	10	9	(	(	PUNCT
fuelectenerg-2758	10	10	to	to	PART
fuelectenerg-2758	10	11	)	)	PUNCT
fuelectenerg-2758	10	12	and	and	CCONJ
fuelectenerg-2758	10	13	using	use	VERB
fuelectenerg-2758	10	14	left	left	ADV
fuelectenerg-2758	10	15	-	-	PUNCT
fuelectenerg-2758	10	16	handed	hand	VERB
fuelectenerg-2758	10	17	(	(	PUNCT
fuelectenerg-2758	10	18	negative	negative	ADJ
fuelectenerg-2758	10	19	refractive	refractive	ADJ
fuelectenerg-2758	10	20	index	index	NOUN
fuelectenerg-2758	10	21	)	)	PUNCT
fuelectenerg-2758	10	22	metamaterials	metamaterial	NOUN
fuelectenerg-2758	10	23	have	have	AUX
fuelectenerg-2758	10	24	been	be	AUX
fuelectenerg-2758	10	25	discussed	discuss	VERB
fuelectenerg-2758	10	26	in	in	ADP
fuelectenerg-2758	10	27	a	a	DET
fuelectenerg-2758	10	28	number	number	NOUN
fuelectenerg-2758	10	29	of	of	ADP
fuelectenerg-2758	10	30	recent	recent	ADJ
fuelectenerg-2758	10	31	publications	publication	NOUN
fuelectenerg-2758	10	32	(	(	PUNCT
fuelectenerg-2758	10	33	[	[	X
fuelectenerg-2758	10	34	1	1	NUM
fuelectenerg-2758	10	35	]	]	PUNCT
fuelectenerg-2758	10	36	,	,	PUNCT
fuelectenerg-2758	11	1	[	[	X
fuelectenerg-2758	11	2	2	2	NUM
fuelectenerg-2758	11	3	]	]	NUM
fuelectenerg-2758	11	4	)	)	PUNCT
fuelectenerg-2758	11	5	.	.	PUNCT
fuelectenerg-2758	12	1	basically	basically	ADV
fuelectenerg-2758	12	2	,	,	PUNCT
fuelectenerg-2758	12	3	using	use	VERB
fuelectenerg-2758	12	4	the	the	DET
fuelectenerg-2758	12	5	electromagnetic	electromagnetic	ADJ
fuelectenerg-2758	12	6	design	design	NOUN
fuelectenerg-2758	12	7	,	,	PUNCT
fuelectenerg-2758	12	8	one	one	PRON
fuelectenerg-2758	12	9	is	be	AUX
fuelectenerg-2758	12	10	able	able	ADJ
fuelectenerg-2758	12	11	to	to	PART
fuelectenerg-2758	12	12	design	design	VERB
fuelectenerg-2758	12	13	a	a	DET
fuelectenerg-2758	12	14	lens	lens	NOUN
fuelectenerg-2758	12	15	with	with	ADP
fuelectenerg-2758	12	16	the	the	DET
fuelectenerg-2758	12	17	full	full	ADJ
fuelectenerg-2758	12	18	functionality	functionality	NOUN
fuelectenerg-2758	12	19	of	of	ADP
fuelectenerg-2758	12	20	a	a	DET
fuelectenerg-2758	12	21	conventional	conventional	ADJ
fuelectenerg-2758	12	22	lens	len	NOUN
fuelectenerg-2758	12	23	,	,	PUNCT
fuelectenerg-2758	12	24	but	but	CCONJ
fuelectenerg-2758	12	25	compressed	compress	VERB
fuelectenerg-2758	12	26	in	in	ADP
fuelectenerg-2758	12	27	space	space	NOUN
fuelectenerg-2758	12	28	and	and	CCONJ
fuelectenerg-2758	12	29	possibly	possibly	ADV
fuelectenerg-2758	12	30	having	have	VERB
fuelectenerg-2758	12	31	additional	additional	ADJ
fuelectenerg-2758	12	32	functionalities	functionality	NOUN
fuelectenerg-2758	12	33	.	.	PUNCT
fuelectenerg-2758	13	1	it	it	PRON
fuelectenerg-2758	13	2	is	be	AUX
fuelectenerg-2758	13	3	possible	possible	ADJ
fuelectenerg-2758	13	4	to	to	PART
fuelectenerg-2758	13	5	do	do	VERB
fuelectenerg-2758	13	6	this	this	PRON
fuelectenerg-2758	13	7	in	in	ADP
fuelectenerg-2758	13	8	a	a	DET
fuelectenerg-2758	13	9	wide	wide	ADJ
fuelectenerg-2758	13	10	range	range	NOUN
fuelectenerg-2758	13	11	of	of	ADP
fuelectenerg-2758	13	12	operating	operate	VERB
fuelectenerg-2758	13	13	frequencies	frequency	NOUN
fuelectenerg-2758	13	14	,	,	PUNCT
fuelectenerg-2758	13	15	including	include	VERB
fuelectenerg-2758	13	16	microwave	microwave	NOUN
fuelectenerg-2758	13	17	,	,	PUNCT
fuelectenerg-2758	13	18	terahertz	terahertz	NOUN
fuelectenerg-2758	13	19	and	and	CCONJ
fuelectenerg-2758	13	20	optical	optical	ADJ
fuelectenerg-2758	13	21	.	.	PUNCT
fuelectenerg-2758	14	1	however	however	ADV
fuelectenerg-2758	14	2	,	,	PUNCT
fuelectenerg-2758	14	3	the	the	DET
fuelectenerg-2758	14	4	metamaterial	metamaterial	ADJ
fuelectenerg-2758	14	5	composites	composite	NOUN
fuelectenerg-2758	14	6	proposed	propose	VERB
fuelectenerg-2758	14	7	for	for	ADP
fuelectenerg-2758	14	8	such	such	ADJ
fuelectenerg-2758	14	9	designs	design	NOUN
fuelectenerg-2758	14	10	may	may	AUX
fuelectenerg-2758	14	11	be	be	AUX
fuelectenerg-2758	14	12	difficult	difficult	ADJ
fuelectenerg-2758	14	13	to	to	PART
fuelectenerg-2758	14	14	manufacture	manufacture	VERB
fuelectenerg-2758	14	15	,	,	PUNCT
fuelectenerg-2758	14	16	received	receive	VERB
fuelectenerg-2758	14	17	april	april	PROPN
fuelectenerg-2758	14	18	4	4	NUM
fuelectenerg-2758	14	19	,	,	PUNCT
fuelectenerg-2758	14	20	2017	2017	NUM
fuelectenerg-2758	14	21	;	;	PUNCT
fuelectenerg-2758	14	22	received	receive	VERB
fuelectenerg-2758	14	23	in	in	ADP
fuelectenerg-2758	14	24	revised	revise	VERB
fuelectenerg-2758	14	25	form	form	NOUN
fuelectenerg-2758	14	26	may	may	AUX
fuelectenerg-2758	14	27	21	21	NUM
fuelectenerg-2758	14	28	,	,	PUNCT
fuelectenerg-2758	14	29	2017	2017	NUM
fuelectenerg-2758	14	30	corresponding	correspond	VERB
fuelectenerg-2758	14	31	author	author	NOUN
fuelectenerg-2758	14	32	:	:	PUNCT
fuelectenerg-2758	14	33	mariana	mariana	PROPN
fuelectenerg-2758	14	34	dalarsson	dalarsson	PROPN
fuelectenerg-2758	14	35	department	department	PROPN
fuelectenerg-2758	14	36	of	of	ADP
fuelectenerg-2758	14	37	physics	physics	PROPN
fuelectenerg-2758	14	38	and	and	CCONJ
fuelectenerg-2758	14	39	electrical	electrical	ADJ
fuelectenerg-2758	14	40	engineering	engineering	NOUN
fuelectenerg-2758	14	41	,	,	PUNCT
fuelectenerg-2758	14	42	linnaeus	linnaeus	PROPN
fuelectenerg-2758	14	43	university	university	NOUN
fuelectenerg-2758	14	44	,	,	PUNCT
fuelectenerg-2758	14	45	351	351	NUM
fuelectenerg-2758	14	46	95växjö	95växjö	NUM
fuelectenerg-2758	14	47	,	,	PUNCT
fuelectenerg-2758	14	48	sweden	sweden	PROPN
fuelectenerg-2758	14	49	(	(	PUNCT
fuelectenerg-2758	14	50	e	e	NOUN
fuelectenerg-2758	14	51	-	-	NOUN
fuelectenerg-2758	14	52	mail	mail	NOUN
fuelectenerg-2758	14	53	:	:	PUNCT
fuelectenerg-2758	14	54	mariana.dalarsson@lnu.se	mariana.dalarsson@lnu.se	NOUN
fuelectenerg-2758	14	55	)	)	PUNCT
fuelectenerg-2758	14	56	640	640	NUM
fuelectenerg-2758	14	57	m.	m.	NOUN
fuelectenerg-2758	14	58	dalarsson	dalarsson	PROPN
fuelectenerg-2758	14	59	,	,	PUNCT
fuelectenerg-2758	14	60	r.	r.	PROPN
fuelectenerg-2758	14	61	mittra	mittra	PROPN
fuelectenerg-2758	14	62	especially	especially	ADV
fuelectenerg-2758	14	63	when	when	SCONJ
fuelectenerg-2758	14	64	the	the	DET
fuelectenerg-2758	14	65	required	required	ADJ
fuelectenerg-2758	14	66	values	value	NOUN
fuelectenerg-2758	14	67	of	of	ADP
fuelectenerg-2758	14	68	relative	relative	ADJ
fuelectenerg-2758	14	69	magnetic	magnetic	ADJ
fuelectenerg-2758	14	70	permeability	permeability	NOUN
fuelectenerg-2758	14	71	and	and	CCONJ
fuelectenerg-2758	14	72	relative	relative	ADJ
fuelectenerg-2758	14	73	dielectric	dielectric	ADJ
fuelectenerg-2758	14	74	permittivity	permittivity	NOUN
fuelectenerg-2758	14	75	are	be	AUX
fuelectenerg-2758	14	76	less	less	ADJ
fuelectenerg-2758	14	77	than	than	ADP
fuelectenerg-2758	14	78	unity	unity	NOUN
fuelectenerg-2758	14	79	,	,	PUNCT
fuelectenerg-2758	14	80	as	as	SCONJ
fuelectenerg-2758	14	81	argued	argue	VERB
fuelectenerg-2758	14	82	in	in	ADP
fuelectenerg-2758	14	83	[	[	X
fuelectenerg-2758	14	84	3	3	NUM
fuelectenerg-2758	14	85	]	]	PUNCT
fuelectenerg-2758	14	86	.	.	PUNCT
fuelectenerg-2758	15	1	in	in	ADP
fuelectenerg-2758	15	2	order	order	NOUN
fuelectenerg-2758	15	3	to	to	PART
fuelectenerg-2758	15	4	avoid	avoid	VERB
fuelectenerg-2758	15	5	problems	problem	NOUN
fuelectenerg-2758	15	6	with	with	ADP
fuelectenerg-2758	15	7	fabrication	fabrication	NOUN
fuelectenerg-2758	15	8	of	of	ADP
fuelectenerg-2758	15	9	metamaterials	metamaterial	NOUN
fuelectenerg-2758	15	10	with	with	ADP
fuelectenerg-2758	15	11	suitable	suitable	ADJ
fuelectenerg-2758	15	12	values	value	NOUN
fuelectenerg-2758	15	13	of	of	ADP
fuelectenerg-2758	15	14	magnetic	magnetic	ADJ
fuelectenerg-2758	15	15	permeabilities	permeability	NOUN
fuelectenerg-2758	15	16	,	,	PUNCT
fuelectenerg-2758	15	17	it	it	PRON
fuelectenerg-2758	15	18	is	be	AUX
fuelectenerg-2758	15	19	possible	possible	ADJ
fuelectenerg-2758	15	20	to	to	PART
fuelectenerg-2758	15	21	set	set	VERB
fuelectenerg-2758	15	22	the	the	DET
fuelectenerg-2758	15	23	value	value	NOUN
fuelectenerg-2758	15	24	of	of	ADP
fuelectenerg-2758	15	25	and	and	CCONJ
fuelectenerg-2758	15	26	to	to	PART
fuelectenerg-2758	15	27	vary	vary	VERB
fuelectenerg-2758	15	28	only	only	ADV
fuelectenerg-2758	15	29	to	to	PART
fuelectenerg-2758	15	30	create	create	VERB
fuelectenerg-2758	15	31	the	the	DET
fuelectenerg-2758	15	32	desired	desire	VERB
fuelectenerg-2758	15	33	refractive	refractive	ADJ
fuelectenerg-2758	15	34	index	index	NOUN
fuelectenerg-2758	15	35	of	of	ADP
fuelectenerg-2758	15	36	√	√	PROPN
fuelectenerg-2758	15	37	,	,	PUNCT
fuelectenerg-2758	15	38	but	but	CCONJ
fuelectenerg-2758	15	39	at	at	ADP
fuelectenerg-2758	15	40	the	the	DET
fuelectenerg-2758	15	41	cost	cost	NOUN
fuelectenerg-2758	15	42	of	of	ADP
fuelectenerg-2758	15	43	decreasing	decrease	VERB
fuelectenerg-2758	15	44	the	the	DET
fuelectenerg-2758	15	45	efficiency	efficiency	NOUN
fuelectenerg-2758	15	46	ofthe	ofthe	NOUN
fuelectenerg-2758	15	47	composite	composite	ADJ
fuelectenerg-2758	15	48	lenses	lense	NOUN
fuelectenerg-2758	15	49	[	[	X
fuelectenerg-2758	15	50	4	4	NUM
fuelectenerg-2758	15	51	]	]	PUNCT
fuelectenerg-2758	15	52	.	.	PUNCT
fuelectenerg-2758	16	1	in	in	ADP
fuelectenerg-2758	16	2	[	[	X
fuelectenerg-2758	16	3	4	4	X
fuelectenerg-2758	16	4	]	]	X
fuelectenerg-2758	16	5	a	a	DET
fuelectenerg-2758	16	6	plano	plano	NOUN
fuelectenerg-2758	16	7	-	-	PUNCT
fuelectenerg-2758	16	8	concave	concave	ADJ
fuelectenerg-2758	16	9	lens	lens	NOUN
fuelectenerg-2758	16	10	has	have	AUX
fuelectenerg-2758	16	11	been	be	AUX
fuelectenerg-2758	16	12	designed	design	VERB
fuelectenerg-2758	16	13	with	with	ADP
fuelectenerg-2758	16	14	metamaterials	metamaterial	NOUN
fuelectenerg-2758	16	15	to	to	PART
fuelectenerg-2758	16	16	obtain	obtain	VERB
fuelectenerg-2758	16	17	a	a	DET
fuelectenerg-2758	16	18	gain	gain	NOUN
fuelectenerg-2758	16	19	above	above	ADP
fuelectenerg-2758	16	20	13	13	NUM
fuelectenerg-2758	16	21	db	db	NOUN
fuelectenerg-2758	16	22	in	in	ADP
fuelectenerg-2758	16	23	the	the	DET
fuelectenerg-2758	16	24	frequency	frequency	NOUN
fuelectenerg-2758	16	25	band	band	NOUN
fuelectenerg-2758	16	26	between	between	ADP
fuelectenerg-2758	16	27	10	10	NUM
fuelectenerg-2758	16	28	and	and	CCONJ
fuelectenerg-2758	16	29	12	12	NUM
fuelectenerg-2758	16	30	ghz	ghz	NOUN
fuelectenerg-2758	16	31	.	.	PUNCT
fuelectenerg-2758	17	1	such	such	DET
fuelectenerg-2758	17	2	a	a	DET
fuelectenerg-2758	17	3	lens	lens	NOUN
fuelectenerg-2758	17	4	has	have	VERB
fuelectenerg-2758	17	5	a	a	DET
fuelectenerg-2758	17	6	narrow	narrow	ADJ
fuelectenerg-2758	17	7	bandwidth	bandwidth	NOUN
fuelectenerg-2758	17	8	typical	typical	ADJ
fuelectenerg-2758	17	9	for	for	ADP
fuelectenerg-2758	17	10	a	a	DET
fuelectenerg-2758	17	11	majority	majority	NOUN
fuelectenerg-2758	17	12	of	of	ADP
fuelectenerg-2758	17	13	designs	design	NOUN
fuelectenerg-2758	17	14	using	use	VERB
fuelectenerg-2758	17	15	metamaterials	metamaterial	NOUN
fuelectenerg-2758	17	16	.	.	PUNCT
fuelectenerg-2758	18	1	the	the	DET
fuelectenerg-2758	18	2	conventional	conventional	ADJ
fuelectenerg-2758	18	3	flat	flat	ADJ
fuelectenerg-2758	18	4	lens	lens	NOUN
fuelectenerg-2758	18	5	designs	design	NOUN
fuelectenerg-2758	18	6	,	,	PUNCT
fuelectenerg-2758	18	7	using	use	VERB
fuelectenerg-2758	18	8	ray	ray	NOUN
fuelectenerg-2758	18	9	optics	optic	NOUN
fuelectenerg-2758	18	10	(	(	PUNCT
fuelectenerg-2758	18	11	ro	ro	NOUN
fuelectenerg-2758	18	12	)	)	PUNCT
fuelectenerg-2758	18	13	approach	approach	NOUN
fuelectenerg-2758	18	14	,	,	PUNCT
fuelectenerg-2758	18	15	avoid	avoid	VERB
fuelectenerg-2758	18	16	the	the	DET
fuelectenerg-2758	18	17	abovementioned	abovementione	VERB
fuelectenerg-2758	18	18	difficulties	difficulty	NOUN
fuelectenerg-2758	18	19	with	with	ADP
fuelectenerg-2758	18	20	to	to	ADP
fuelectenerg-2758	18	21	designs	design	NOUN
fuelectenerg-2758	18	22	,	,	PUNCT
fuelectenerg-2758	18	23	but	but	CCONJ
fuelectenerg-2758	18	24	they	they	PRON
fuelectenerg-2758	18	25	do	do	AUX
fuelectenerg-2758	18	26	not	not	PART
fuelectenerg-2758	18	27	have	have	VERB
fuelectenerg-2758	18	28	the	the	DET
fuelectenerg-2758	18	29	same	same	ADJ
fuelectenerg-2758	18	30	flexibility	flexibility	NOUN
fuelectenerg-2758	18	31	to	to	PART
fuelectenerg-2758	18	32	control	control	VERB
fuelectenerg-2758	18	33	the	the	DET
fuelectenerg-2758	18	34	phase	phase	NOUN
fuelectenerg-2758	18	35	and	and	CCONJ
fuelectenerg-2758	18	36	amplitude	amplitude	NOUN
fuelectenerg-2758	18	37	of	of	ADP
fuelectenerg-2758	18	38	the	the	DET
fuelectenerg-2758	18	39	fields	field	NOUN
fuelectenerg-2758	18	40	within	within	ADP
fuelectenerg-2758	18	41	the	the	DET
fuelectenerg-2758	18	42	lens	lens	NOUN
fuelectenerg-2758	18	43	structure	structure	NOUN
fuelectenerg-2758	18	44	.	.	PUNCT
fuelectenerg-2758	19	1	an	an	DET
fuelectenerg-2758	19	2	approach	approach	NOUN
fuelectenerg-2758	19	3	to	to	PART
fuelectenerg-2758	19	4	remedy	remedy	VERB
fuelectenerg-2758	19	5	the	the	DET
fuelectenerg-2758	19	6	drawbacks	drawback	NOUN
fuelectenerg-2758	19	7	of	of	ADP
fuelectenerg-2758	19	8	both	both	PRON
fuelectenerg-2758	19	9	to	to	PART
fuelectenerg-2758	19	10	and	and	CCONJ
fuelectenerg-2758	19	11	ro	ro	VERB
fuelectenerg-2758	19	12	designs	design	NOUN
fuelectenerg-2758	19	13	is	be	AUX
fuelectenerg-2758	19	14	the	the	DET
fuelectenerg-2758	19	15	field	field	NOUN
fuelectenerg-2758	19	16	manipulation	manipulation	NOUN
fuelectenerg-2758	19	17	(	(	PUNCT
fuelectenerg-2758	19	18	fm	fm	NOUN
fuelectenerg-2758	19	19	)	)	PUNCT
fuelectenerg-2758	19	20	method	method	NOUN
fuelectenerg-2758	19	21	,	,	PUNCT
fuelectenerg-2758	19	22	described	describe	VERB
fuelectenerg-2758	19	23	in	in	ADP
fuelectenerg-2758	19	24	[	[	X
fuelectenerg-2758	19	25	3	3	NUM
fuelectenerg-2758	19	26	]	]	PUNCT
fuelectenerg-2758	19	27	.	.	PUNCT
fuelectenerg-2758	20	1	the	the	DET
fuelectenerg-2758	20	2	studies	study	NOUN
fuelectenerg-2758	20	3	of	of	ADP
fuelectenerg-2758	20	4	the	the	DET
fuelectenerg-2758	20	5	flat	flat	ADJ
fuelectenerg-2758	20	6	-	-	PUNCT
fuelectenerg-2758	20	7	lenses	lense	NOUN
fuelectenerg-2758	20	8	design	design	NOUN
fuelectenerg-2758	20	9	approaches	approach	NOUN
fuelectenerg-2758	20	10	mentioned	mention	VERB
fuelectenerg-2758	20	11	above	above	ADV
fuelectenerg-2758	20	12	,	,	PUNCT
fuelectenerg-2758	20	13	however	however	ADV
fuelectenerg-2758	20	14	,	,	PUNCT
fuelectenerg-2758	20	15	generally	generally	ADV
fuelectenerg-2758	20	16	require	require	VERB
fuelectenerg-2758	20	17	a	a	DET
fuelectenerg-2758	20	18	direct	direct	ADJ
fuelectenerg-2758	20	19	numerical	numerical	ADJ
fuelectenerg-2758	20	20	approach	approach	NOUN
fuelectenerg-2758	20	21	in	in	ADP
fuelectenerg-2758	20	22	solving	solve	VERB
fuelectenerg-2758	20	23	the	the	DET
fuelectenerg-2758	20	24	field	field	NOUN
fuelectenerg-2758	20	25	equations	equation	NOUN
fuelectenerg-2758	20	26	.	.	PUNCT
fuelectenerg-2758	21	1	in	in	ADP
fuelectenerg-2758	21	2	the	the	DET
fuelectenerg-2758	21	3	present	present	ADJ
fuelectenerg-2758	21	4	paper	paper	NOUN
fuelectenerg-2758	21	5	,	,	PUNCT
fuelectenerg-2758	21	6	we	we	PRON
fuelectenerg-2758	21	7	use	use	VERB
fuelectenerg-2758	21	8	an	an	DET
fuelectenerg-2758	21	9	alternative	alternative	ADJ
fuelectenerg-2758	21	10	approach	approach	NOUN
fuelectenerg-2758	21	11	and	and	CCONJ
fuelectenerg-2758	21	12	investigate	investigate	VERB
fuelectenerg-2758	21	13	the	the	DET
fuelectenerg-2758	21	14	possibilities	possibility	NOUN
fuelectenerg-2758	21	15	to	to	PART
fuelectenerg-2758	21	16	identify	identify	VERB
fuelectenerg-2758	21	17	and	and	CCONJ
fuelectenerg-2758	21	18	study	study	VERB
fuelectenerg-2758	21	19	some	some	DET
fuelectenerg-2758	21	20	special	special	ADJ
fuelectenerg-2758	21	21	designs	design	NOUN
fuelectenerg-2758	21	22	that	that	PRON
fuelectenerg-2758	21	23	allow	allow	VERB
fuelectenerg-2758	21	24	for	for	ADP
fuelectenerg-2758	21	25	the	the	DET
fuelectenerg-2758	21	26	exact	exact	ADJ
fuelectenerg-2758	21	27	solutions	solution	NOUN
fuelectenerg-2758	21	28	of	of	ADP
fuelectenerg-2758	21	29	the	the	DET
fuelectenerg-2758	21	30	field	field	NOUN
fuelectenerg-2758	21	31	equations	equation	NOUN
fuelectenerg-2758	21	32	analogous	analogous	ADJ
fuelectenerg-2758	21	33	to	to	ADP
fuelectenerg-2758	21	34	those	those	PRON
fuelectenerg-2758	21	35	obtained	obtain	VERB
fuelectenerg-2758	21	36	in	in	ADP
fuelectenerg-2758	21	37	studying	study	VERB
fuelectenerg-2758	21	38	various	various	ADJ
fuelectenerg-2758	21	39	planar	planar	ADJ
fuelectenerg-2758	21	40	and	and	CCONJ
fuelectenerg-2758	21	41	cylindrical	cylindrical	ADJ
fuelectenerg-2758	21	42	metamaterial	metamaterial	ADJ
fuelectenerg-2758	21	43	structures	structure	NOUN
fuelectenerg-2758	21	44	[	[	X
fuelectenerg-2758	21	45	5	5	NUM
fuelectenerg-2758	21	46	]	]	X
fuelectenerg-2758	21	47	[	[	X
fuelectenerg-2758	21	48	11	11	NUM
fuelectenerg-2758	21	49	]	]	PUNCT
fuelectenerg-2758	21	50	.	.	PUNCT
fuelectenerg-2758	22	1	the	the	DET
fuelectenerg-2758	22	2	main	main	ADJ
fuelectenerg-2758	22	3	motive	motive	NOUN
fuelectenerg-2758	22	4	for	for	ADP
fuelectenerg-2758	22	5	pursuing	pursue	VERB
fuelectenerg-2758	22	6	analytical	analytical	ADJ
fuelectenerg-2758	22	7	solutions	solution	NOUN
fuelectenerg-2758	22	8	of	of	ADP
fuelectenerg-2758	22	9	the	the	DET
fuelectenerg-2758	22	10	problems	problem	NOUN
fuelectenerg-2758	22	11	involving	involve	VERB
fuelectenerg-2758	22	12	flat	flat	ADJ
fuelectenerg-2758	22	13	lenses	lense	NOUN
fuelectenerg-2758	22	14	is	be	AUX
fuelectenerg-2758	22	15	that	that	SCONJ
fuelectenerg-2758	22	16	the	the	DET
fuelectenerg-2758	22	17	detailed	detailed	ADJ
fuelectenerg-2758	22	18	knowledge	knowledge	NOUN
fuelectenerg-2758	22	19	of	of	ADP
fuelectenerg-2758	22	20	analytical	analytical	ADJ
fuelectenerg-2758	22	21	structure	structure	NOUN
fuelectenerg-2758	22	22	of	of	ADP
fuelectenerg-2758	22	23	the	the	DET
fuelectenerg-2758	22	24	field	field	NOUN
fuelectenerg-2758	22	25	solutions	solution	NOUN
fuelectenerg-2758	22	26	may	may	AUX
fuelectenerg-2758	22	27	provide	provide	VERB
fuelectenerg-2758	22	28	additional	additional	ADJ
fuelectenerg-2758	22	29	insights	insight	NOUN
fuelectenerg-2758	22	30	leading	lead	VERB
fuelectenerg-2758	22	31	to	to	ADP
fuelectenerg-2758	22	32	improved	improve	VERB
fuelectenerg-2758	22	33	or	or	CCONJ
fuelectenerg-2758	22	34	even	even	ADV
fuelectenerg-2758	22	35	entirely	entirely	ADV
fuelectenerg-2758	22	36	new	new	ADJ
fuelectenerg-2758	22	37	designs	design	NOUN
fuelectenerg-2758	22	38	.	.	PUNCT
fuelectenerg-2758	23	1	we	we	PRON
fuelectenerg-2758	23	2	apply	apply	VERB
fuelectenerg-2758	23	3	our	our	PRON
fuelectenerg-2758	23	4	approach	approach	NOUN
fuelectenerg-2758	23	5	to	to	ADP
fuelectenerg-2758	23	6	a	a	DET
fuelectenerg-2758	23	7	specific	specific	ADJ
fuelectenerg-2758	23	8	case	case	NOUN
fuelectenerg-2758	23	9	of	of	ADP
fuelectenerg-2758	23	10	a	a	DET
fuelectenerg-2758	23	11	gradient	gradient	NOUN
fuelectenerg-2758	23	12	-	-	PUNCT
fuelectenerg-2758	23	13	index	index	NOUN
fuelectenerg-2758	23	14	(	(	PUNCT
fuelectenerg-2758	23	15	grin	grin	NOUN
fuelectenerg-2758	23	16	)	)	PUNCT
fuelectenerg-2758	23	17	flat	flat	ADJ
fuelectenerg-2758	23	18	lens	len	NOUN
fuelectenerg-2758	23	19	.	.	PUNCT
fuelectenerg-2758	24	1	2	2	X
fuelectenerg-2758	24	2	.	.	X
fuelectenerg-2758	24	3	problem	problem	NOUN
fuelectenerg-2758	24	4	formulation	formulation	NOUN
fuelectenerg-2758	24	5	and	and	CCONJ
fuelectenerg-2758	24	6	field	field	NOUN
fuelectenerg-2758	24	7	equations	equation	NOUN
fuelectenerg-2758	24	8	the	the	DET
fuelectenerg-2758	24	9	graded	grade	VERB
fuelectenerg-2758	24	10	index	index	NOUN
fuelectenerg-2758	24	11	(	(	PUNCT
fuelectenerg-2758	24	12	grin	grin	NOUN
fuelectenerg-2758	24	13	)	)	PUNCT
fuelectenerg-2758	24	14	approach	approach	NOUN
fuelectenerg-2758	24	15	to	to	ADP
fuelectenerg-2758	24	16	the	the	DET
fuelectenerg-2758	24	17	design	design	NOUN
fuelectenerg-2758	24	18	of	of	ADP
fuelectenerg-2758	24	19	a	a	DET
fuelectenerg-2758	24	20	flat	flat	ADJ
fuelectenerg-2758	24	21	lens	lens	NOUN
fuelectenerg-2758	24	22	is	be	AUX
fuelectenerg-2758	24	23	based	base	VERB
fuelectenerg-2758	24	24	on	on	ADP
fuelectenerg-2758	24	25	the	the	DET
fuelectenerg-2758	24	26	concept	concept	NOUN
fuelectenerg-2758	24	27	of	of	ADP
fuelectenerg-2758	24	28	field	field	NOUN
fuelectenerg-2758	24	29	transformation	transformation	NOUN
fuelectenerg-2758	24	30	,	,	PUNCT
fuelectenerg-2758	24	31	similar	similar	ADJ
fuelectenerg-2758	24	32	to	to	ADP
fuelectenerg-2758	24	33	that	that	PRON
fuelectenerg-2758	24	34	proposed	propose	VERB
fuelectenerg-2758	24	35	by	by	ADP
fuelectenerg-2758	24	36	luneburg	luneburg	NOUN
fuelectenerg-2758	24	37	for	for	ADP
fuelectenerg-2758	24	38	the	the	DET
fuelectenerg-2758	24	39	design	design	NOUN
fuelectenerg-2758	24	40	of	of	ADP
fuelectenerg-2758	24	41	spherical	spherical	ADJ
fuelectenerg-2758	24	42	lenses	lense	NOUN
fuelectenerg-2758	24	43	[	[	X
fuelectenerg-2758	24	44	12	12	NUM
fuelectenerg-2758	24	45	]	]	PUNCT
fuelectenerg-2758	24	46	.	.	PUNCT
fuelectenerg-2758	25	1	similarly	similarly	ADV
fuelectenerg-2758	25	2	to	to	ADP
fuelectenerg-2758	25	3	luneburg	luneburg	PROPN
fuelectenerg-2758	25	4	's	's	PART
fuelectenerg-2758	25	5	approach	approach	NOUN
fuelectenerg-2758	25	6	,	,	PUNCT
fuelectenerg-2758	25	7	a	a	DET
fuelectenerg-2758	25	8	desired	desire	VERB
fuelectenerg-2758	25	9	field	field	NOUN
fuelectenerg-2758	25	10	distribution	distribution	NOUN
fuelectenerg-2758	25	11	in	in	ADP
fuelectenerg-2758	25	12	the	the	DET
fuelectenerg-2758	25	13	output	output	NOUN
fuelectenerg-2758	25	14	port	port	NOUN
fuelectenerg-2758	25	15	(	(	PUNCT
fuelectenerg-2758	25	16	the	the	DET
fuelectenerg-2758	25	17	exit	exit	NOUN
fuelectenerg-2758	25	18	aperture	aperture	NOUN
fuelectenerg-2758	25	19	)	)	PUNCT
fuelectenerg-2758	25	20	is	be	AUX
fuelectenerg-2758	25	21	specified	specify	VERB
fuelectenerg-2758	25	22	and	and	CCONJ
fuelectenerg-2758	25	23	the	the	DET
fuelectenerg-2758	25	24	medium	medium	ADJ
fuelectenerg-2758	25	25	parameters	parameter	NOUN
fuelectenerg-2758	25	26	of	of	ADP
fuelectenerg-2758	25	27	the	the	DET
fuelectenerg-2758	25	28	intervening	intervene	VERB
fuelectenerg-2758	25	29	medium	medium	NOUN
fuelectenerg-2758	25	30	are	be	AUX
fuelectenerg-2758	25	31	determined	determine	VERB
fuelectenerg-2758	25	32	such	such	ADJ
fuelectenerg-2758	25	33	that	that	SCONJ
fuelectenerg-2758	25	34	the	the	DET
fuelectenerg-2758	25	35	given	give	VERB
fuelectenerg-2758	25	36	field	field	NOUN
fuelectenerg-2758	25	37	distribution	distribution	NOUN
fuelectenerg-2758	25	38	in	in	ADP
fuelectenerg-2758	25	39	the	the	DET
fuelectenerg-2758	25	40	input	input	NOUN
fuelectenerg-2758	25	41	port	port	NOUN
fuelectenerg-2758	25	42	(	(	PUNCT
fuelectenerg-2758	25	43	input	input	NOUN
fuelectenerg-2758	25	44	aperture	aperture	NOUN
fuelectenerg-2758	25	45	)	)	PUNCT
fuelectenerg-2758	25	46	is	be	AUX
fuelectenerg-2758	25	47	transformed	transform	VERB
fuelectenerg-2758	25	48	to	to	ADP
fuelectenerg-2758	25	49	the	the	DET
fuelectenerg-2758	25	50	desired	desire	VERB
fuelectenerg-2758	25	51	field	field	NOUN
fuelectenerg-2758	25	52	distribution	distribution	NOUN
fuelectenerg-2758	25	53	in	in	ADP
fuelectenerg-2758	25	54	the	the	DET
fuelectenerg-2758	25	55	exit	exit	NOUN
fuelectenerg-2758	25	56	plane	plane	NOUN
fuelectenerg-2758	25	57	.	.	PUNCT
fuelectenerg-2758	26	1	in	in	ADP
fuelectenerg-2758	26	2	many	many	ADJ
fuelectenerg-2758	26	3	practical	practical	ADJ
fuelectenerg-2758	26	4	cases	case	NOUN
fuelectenerg-2758	26	5	,	,	PUNCT
fuelectenerg-2758	26	6	this	this	PRON
fuelectenerg-2758	26	7	can	can	AUX
fuelectenerg-2758	26	8	be	be	AUX
fuelectenerg-2758	26	9	performed	perform	VERB
fuelectenerg-2758	26	10	by	by	ADP
fuelectenerg-2758	26	11	tracing	trace	VERB
fuelectenerg-2758	26	12	rays	ray	NOUN
fuelectenerg-2758	26	13	through	through	ADP
fuelectenerg-2758	26	14	a	a	DET
fuelectenerg-2758	26	15	designed	design	VERB
fuelectenerg-2758	26	16	inhomogeneous	inhomogeneous	ADJ
fuelectenerg-2758	26	17	medium	medium	NOUN
fuelectenerg-2758	26	18	.	.	PUNCT
fuelectenerg-2758	27	1	the	the	DET
fuelectenerg-2758	27	2	design	design	NOUN
fuelectenerg-2758	27	3	parameters	parameter	NOUN
fuelectenerg-2758	27	4	of	of	ADP
fuelectenerg-2758	27	5	the	the	DET
fuelectenerg-2758	27	6	lens	len	NOUN
fuelectenerg-2758	27	7	include	include	VERB
fuelectenerg-2758	27	8	center	center	NOUN
fuelectenerg-2758	27	9	frequency	frequency	NOUN
fuelectenerg-2758	27	10	,	,	PUNCT
fuelectenerg-2758	27	11	focal	focal	ADJ
fuelectenerg-2758	27	12	length	length	NOUN
fuelectenerg-2758	27	13	,	,	PUNCT
fuelectenerg-2758	27	14	thickness	thickness	NOUN
fuelectenerg-2758	27	15	,	,	PUNCT
fuelectenerg-2758	27	16	and	and	CCONJ
fuelectenerg-2758	27	17	gain	gain	NOUN
fuelectenerg-2758	27	18	.	.	PUNCT
fuelectenerg-2758	28	1	the	the	DET
fuelectenerg-2758	28	2	physical	physical	ADJ
fuelectenerg-2758	28	3	size	size	NOUN
fuelectenerg-2758	28	4	(	(	PUNCT
fuelectenerg-2758	28	5	diameter	diameter	NOUN
fuelectenerg-2758	28	6	d	d	NOUN
fuelectenerg-2758	28	7	)	)	PUNCT
fuelectenerg-2758	28	8	of	of	ADP
fuelectenerg-2758	28	9	the	the	DET
fuelectenerg-2758	28	10	lens	lens	NOUN
fuelectenerg-2758	28	11	will	will	AUX
fuelectenerg-2758	28	12	depend	depend	VERB
fuelectenerg-2758	28	13	on	on	ADP
fuelectenerg-2758	28	14	the	the	DET
fuelectenerg-2758	28	15	gain	gain	NOUN
fuelectenerg-2758	28	16	and	and	CCONJ
fuelectenerg-2758	28	17	the	the	DET
fuelectenerg-2758	28	18	radial	radial	ADJ
fuelectenerg-2758	28	19	model	model	NOUN
fuelectenerg-2758	28	20	function	function	NOUN
fuelectenerg-2758	28	21	(	(	PUNCT
fuelectenerg-2758	28	22	e.g.	e.g.	ADV
fuelectenerg-2758	28	23	radial	radial	ADJ
fuelectenerg-2758	28	24	dependence	dependence	NOUN
fuelectenerg-2758	28	25	of	of	ADP
fuelectenerg-2758	28	26	the	the	DET
fuelectenerg-2758	28	27	permittivity	permittivity	NOUN
fuelectenerg-2758	28	28	)	)	PUNCT
fuelectenerg-2758	28	29	.	.	PUNCT
fuelectenerg-2758	29	1	one	one	NUM
fuelectenerg-2758	29	2	typical	typical	ADJ
fuelectenerg-2758	29	3	design	design	NOUN
fuelectenerg-2758	29	4	layout	layout	NOUN
fuelectenerg-2758	29	5	is	be	AUX
fuelectenerg-2758	29	6	shown	show	VERB
fuelectenerg-2758	29	7	in	in	ADP
fuelectenerg-2758	29	8	fig	fig	NOUN
fuelectenerg-2758	29	9	.	.	PUNCT
fuelectenerg-2758	30	1	1	1	X
fuelectenerg-2758	30	2	.	.	PUNCT
fuelectenerg-2758	31	1	the	the	DET
fuelectenerg-2758	31	2	design	design	NOUN
fuelectenerg-2758	31	3	goal	goal	NOUN
fuelectenerg-2758	31	4	is	be	AUX
fuelectenerg-2758	31	5	to	to	PART
fuelectenerg-2758	31	6	maximize	maximize	VERB
fuelectenerg-2758	31	7	the	the	DET
fuelectenerg-2758	31	8	performance	performance	NOUN
fuelectenerg-2758	31	9	of	of	ADP
fuelectenerg-2758	31	10	the	the	DET
fuelectenerg-2758	31	11	lens	len	NOUN
fuelectenerg-2758	31	12	,	,	PUNCT
fuelectenerg-2758	31	13	and	and	CCONJ
fuelectenerg-2758	31	14	for	for	ADP
fuelectenerg-2758	31	15	that	that	DET
fuelectenerg-2758	31	16	purpose	purpose	NOUN
fuelectenerg-2758	31	17	we	we	PRON
fuelectenerg-2758	31	18	want	want	VERB
fuelectenerg-2758	31	19	to	to	PART
fuelectenerg-2758	31	20	realize	realize	VERB
fuelectenerg-2758	31	21	the	the	DET
fuelectenerg-2758	31	22	desired	desire	VERB
fuelectenerg-2758	31	23	phases	phase	NOUN
fuelectenerg-2758	31	24	on	on	ADP
fuelectenerg-2758	31	25	the	the	DET
fuelectenerg-2758	31	26	face	face	NOUN
fuelectenerg-2758	31	27	b	b	NOUN
fuelectenerg-2758	31	28	of	of	ADP
fuelectenerg-2758	31	29	the	the	DET
fuelectenerg-2758	31	30	lens	lens	NOUN
fuelectenerg-2758	31	31	while	while	SCONJ
fuelectenerg-2758	31	32	simultaneously	simultaneously	ADV
fuelectenerg-2758	31	33	maximizing	maximize	VERB
fuelectenerg-2758	31	34	the	the	DET
fuelectenerg-2758	31	35	transmission	transmission	NOUN
fuelectenerg-2758	31	36	coefficient	coefficient	NOUN
fuelectenerg-2758	31	37	over	over	ADP
fuelectenerg-2758	31	38	a	a	DET
fuelectenerg-2758	31	39	broad	broad	ADJ
fuelectenerg-2758	31	40	frequency	frequency	NOUN
fuelectenerg-2758	31	41	band	band	NOUN
fuelectenerg-2758	31	42	.	.	PUNCT
fuelectenerg-2758	32	1	the	the	DET
fuelectenerg-2758	32	2	problem	problem	NOUN
fuelectenerg-2758	32	3	is	be	AUX
fuelectenerg-2758	32	4	typically	typically	ADV
fuelectenerg-2758	32	5	solved	solve	VERB
fuelectenerg-2758	32	6	using	use	VERB
fuelectenerg-2758	32	7	a	a	DET
fuelectenerg-2758	32	8	multi	multi	ADJ
fuelectenerg-2758	32	9	-	-	ADJ
fuelectenerg-2758	32	10	layer	layer	ADJ
fuelectenerg-2758	32	11	structure	structure	NOUN
fuelectenerg-2758	32	12	,	,	PUNCT
fuelectenerg-2758	32	13	with	with	ADP
fuelectenerg-2758	32	14	the	the	DET
fuelectenerg-2758	32	15	desired	desire	VERB
fuelectenerg-2758	32	16	phase	phase	NOUN
fuelectenerg-2758	32	17	at	at	ADP
fuelectenerg-2758	32	18	the	the	DET
fuelectenerg-2758	32	19	center	center	NOUN
fuelectenerg-2758	32	20	frequency	frequency	NOUN
fuelectenerg-2758	32	21	and	and	CCONJ
fuelectenerg-2758	32	22	a	a	DET
fuelectenerg-2758	32	23	transmission	transmission	NOUN
fuelectenerg-2758	32	24	coefficient	coefficient	NOUN
fuelectenerg-2758	32	25	as	as	ADP
fuelectenerg-2758	32	26	close	close	ADV
fuelectenerg-2758	32	27	to	to	ADP
fuelectenerg-2758	32	28	one	one	NUM
fuelectenerg-2758	32	29	as	as	ADP
fuelectenerg-2758	32	30	possible	possible	ADJ
fuelectenerg-2758	32	31	over	over	ADP
fuelectenerg-2758	32	32	abroad	abroad	ADJ
fuelectenerg-2758	32	33	frequency	frequency	NOUN
fuelectenerg-2758	32	34	band	band	NOUN
fuelectenerg-2758	32	35	for	for	ADP
fuelectenerg-2758	32	36	each	each	PRON
fuelectenerg-2758	32	37	of	of	ADP
fuelectenerg-2758	32	38	the	the	DET
fuelectenerg-2758	32	39	ten	ten	NUM
fuelectenerg-2758	32	40	rings	ring	NOUN
fuelectenerg-2758	32	41	shown	show	VERB
fuelectenerg-2758	32	42	in	in	ADP
fuelectenerg-2758	32	43	fig	fig	NOUN
fuelectenerg-2758	32	44	.	.	PUNCT
fuelectenerg-2758	33	1	1	1	X
fuelectenerg-2758	33	2	.	.	X
fuelectenerg-2758	34	1	in	in	ADP
fuelectenerg-2758	34	2	fig	fig	NOUN
fuelectenerg-2758	34	3	.	.	PUNCT
fuelectenerg-2758	35	1	1	1	NUM
fuelectenerg-2758	36	1	the	the	DET
fuelectenerg-2758	36	2	following	follow	VERB
fuelectenerg-2758	36	3	symbols	symbol	NOUN
fuelectenerg-2758	36	4	are	be	AUX
fuelectenerg-2758	36	5	used	use	VERB
fuelectenerg-2758	36	6	:	:	PUNCT
fuelectenerg-2758	36	7	t	t	X
fuelectenerg-2758	36	8	–	–	PUNCT
fuelectenerg-2758	36	9	thickness	thickness	NOUN
fuelectenerg-2758	36	10	of	of	ADP
fuelectenerg-2758	36	11	the	the	DET
fuelectenerg-2758	36	12	lens	lens	NOUN
fuelectenerg-2758	36	13	f	f	PROPN
fuelectenerg-2758	36	14	–	–	PUNCT
fuelectenerg-2758	36	15	focal	focal	ADJ
fuelectenerg-2758	36	16	length	length	NOUN
fuelectenerg-2758	36	17	of	of	ADP
fuelectenerg-2758	36	18	the	the	DET
fuelectenerg-2758	36	19	lens	lens	NOUN
fuelectenerg-2758	36	20	i	i	NOUN
fuelectenerg-2758	36	21	–	–	PUNCT
fuelectenerg-2758	36	22	phase	phase	NOUN
fuelectenerg-2758	36	23	of	of	ADP
fuelectenerg-2758	36	24	the	the	DET
fuelectenerg-2758	36	25	plane	plane	NOUN
fuelectenerg-2758	36	26	wave	wave	NOUN
fuelectenerg-2758	36	27	incident	incident	NOUN
fuelectenerg-2758	36	28	from	from	ADP
fuelectenerg-2758	36	29	the	the	DET
fuelectenerg-2758	36	30	left	left	NOUN
fuelectenerg-2758	36	31	on	on	ADP
fuelectenerg-2758	36	32	the	the	DET
fuelectenerg-2758	36	33	face	face	NOUN
fuelectenerg-2758	36	34	a	a	DET
fuelectenerg-2758	36	35	a	a	NOUN
fuelectenerg-2758	36	36	,	,	PUNCT
fuelectenerg-2758	36	37	b	b	X
fuelectenerg-2758	36	38	–	–	PUNCT
fuelectenerg-2758	36	39	the	the	DET
fuelectenerg-2758	36	40	notation	notation	NOUN
fuelectenerg-2758	36	41	for	for	ADP
fuelectenerg-2758	36	42	the	the	DET
fuelectenerg-2758	36	43	two	two	NUM
fuelectenerg-2758	36	44	faces	face	NOUN
fuelectenerg-2758	36	45	(	(	PUNCT
fuelectenerg-2758	36	46	a	a	PRON
fuelectenerg-2758	36	47	and	and	CCONJ
fuelectenerg-2758	36	48	b	b	NOUN
fuelectenerg-2758	36	49	)	)	PUNCT
fuelectenerg-2758	36	50	of	of	ADP
fuelectenerg-2758	36	51	the	the	DET
fuelectenerg-2758	36	52	lens	len	NOUN
fuelectenerg-2758	36	53	exact	exact	ADJ
fuelectenerg-2758	36	54	analytical	analytical	ADJ
fuelectenerg-2758	36	55	solutions	solution	NOUN
fuelectenerg-2758	36	56	of	of	ADP
fuelectenerg-2758	36	57	continuously	continuously	ADV
fuelectenerg-2758	36	58	graded	grade	VERB
fuelectenerg-2758	36	59	models	model	NOUN
fuelectenerg-2758	36	60	of	of	ADP
fuelectenerg-2758	36	61	flat	flat	ADJ
fuelectenerg-2758	36	62	lenses	lense	NOUN
fuelectenerg-2758	36	63	641	641	NUM
fuelectenerg-2758	36	64	fig	fig	NOUN
fuelectenerg-2758	36	65	.	.	PUNCT
fuelectenerg-2758	37	1	1	1	NUM
fuelectenerg-2758	37	2	flat	flat	ADJ
fuelectenerg-2758	37	3	grin	grin	NOUN
fuelectenerg-2758	37	4	lens	len	NOUN
fuelectenerg-2758	37	5	.	.	PUNCT
fuelectenerg-2758	38	1	left	leave	VERB
fuelectenerg-2758	38	2	:	:	PUNCT
fuelectenerg-2758	38	3	cross	cross	PROPN
fuelectenerg-2758	38	4	section	section	PROPN
fuelectenerg-2758	38	5	(	(	PUNCT
fuelectenerg-2758	38	6	side	side	NOUN
fuelectenerg-2758	38	7	view	view	NOUN
fuelectenerg-2758	38	8	)	)	PUNCT
fuelectenerg-2758	38	9	of	of	ADP
fuelectenerg-2758	38	10	the	the	DET
fuelectenerg-2758	38	11	lens	lens	NOUN
fuelectenerg-2758	38	12	showing	show	VERB
fuelectenerg-2758	38	13	layers	layer	NOUN
fuelectenerg-2758	38	14	;	;	PUNCT
fuelectenerg-2758	38	15	right	right	ADJ
fuelectenerg-2758	38	16	:	:	PUNCT
fuelectenerg-2758	38	17	top	top	ADJ
fuelectenerg-2758	38	18	view	view	NOUN
fuelectenerg-2758	38	19	of	of	ADP
fuelectenerg-2758	38	20	the	the	DET
fuelectenerg-2758	38	21	lens	lens	NOUN
fuelectenerg-2758	38	22	the	the	DET
fuelectenerg-2758	38	23	middle	middle	ADJ
fuelectenerg-2758	38	24	layer	layer	NOUN
fuelectenerg-2758	38	25	perform	perform	VERB
fuelectenerg-2758	38	26	a	a	DET
fuelectenerg-2758	38	27	majority	majority	NOUN
fuelectenerg-2758	38	28	of	of	ADP
fuelectenerg-2758	38	29	the	the	DET
fuelectenerg-2758	38	30	phase	phase	NOUN
fuelectenerg-2758	38	31	transformation	transformation	NOUN
fuelectenerg-2758	38	32	,	,	PUNCT
fuelectenerg-2758	38	33	while	while	SCONJ
fuelectenerg-2758	38	34	the	the	DET
fuelectenerg-2758	38	35	other	other	ADJ
fuelectenerg-2758	38	36	layers	layer	NOUN
fuelectenerg-2758	38	37	act	act	VERB
fuelectenerg-2758	38	38	as	as	ADP
fuelectenerg-2758	38	39	matching	match	VERB
fuelectenerg-2758	38	40	layers	layer	NOUN
fuelectenerg-2758	38	41	to	to	PART
fuelectenerg-2758	38	42	maximize	maximize	VERB
fuelectenerg-2758	38	43	the	the	DET
fuelectenerg-2758	38	44	transmission	transmission	NOUN
fuelectenerg-2758	38	45	of	of	ADP
fuelectenerg-2758	38	46	the	the	DET
fuelectenerg-2758	38	47	waves	wave	NOUN
fuelectenerg-2758	38	48	incident	incident	NOUN
fuelectenerg-2758	38	49	from	from	ADP
fuelectenerg-2758	38	50	either	either	DET
fuelectenerg-2758	38	51	side	side	NOUN
fuelectenerg-2758	38	52	(	(	PUNCT
fuelectenerg-2758	38	53	graded	grade	VERB
fuelectenerg-2758	38	54	antireflection	antireflection	NOUN
fuelectenerg-2758	38	55	structure	structure	NOUN
fuelectenerg-2758	38	56	)	)	PUNCT
fuelectenerg-2758	38	57	.	.	PUNCT
fuelectenerg-2758	39	1	in	in	ADP
fuelectenerg-2758	39	2	the	the	DET
fuelectenerg-2758	39	3	present	present	ADJ
fuelectenerg-2758	39	4	approach	approach	NOUN
fuelectenerg-2758	39	5	we	we	PRON
fuelectenerg-2758	39	6	model	model	VERB
fuelectenerg-2758	39	7	the	the	DET
fuelectenerg-2758	39	8	discrete	discrete	ADJ
fuelectenerg-2758	39	9	structure	structure	NOUN
fuelectenerg-2758	39	10	shown	show	VERB
fuelectenerg-2758	39	11	in	in	ADP
fuelectenerg-2758	39	12	fig	fig	NOUN
fuelectenerg-2758	39	13	.	.	PUNCT
fuelectenerg-2758	40	1	1	1	NUM
fuelectenerg-2758	40	2	by	by	ADP
fuelectenerg-2758	40	3	a	a	DET
fuelectenerg-2758	40	4	cylindrical	cylindrical	ADJ
fuelectenerg-2758	40	5	composite	composite	ADJ
fuelectenerg-2758	40	6	structure	structure	NOUN
fuelectenerg-2758	40	7	with	with	ADP
fuelectenerg-2758	40	8	the	the	DET
fuelectenerg-2758	40	9	electric	electric	ADJ
fuelectenerg-2758	40	10	permittivity	permittivity	NOUN
fuelectenerg-2758	40	11	and	and	CCONJ
fuelectenerg-2758	40	12	permeability	permeability	NOUN
fuelectenerg-2758	40	13	being	be	AUX
fuelectenerg-2758	40	14	continuous	continuous	ADJ
fuelectenerg-2758	40	15	spatial	spatial	ADJ
fuelectenerg-2758	40	16	functions	function	NOUN
fuelectenerg-2758	40	17	(	(	PUNCT
fuelectenerg-2758	40	18	)	)	PUNCT
fuelectenerg-2758	40	19	(	(	PUNCT
fuelectenerg-2758	40	20	)	)	PUNCT
fuelectenerg-2758	40	21	,	,	PUNCT
fuelectenerg-2758	40	22	(	(	PUNCT
fuelectenerg-2758	40	23	)	)	PUNCT
fuelectenerg-2758	40	24	(	(	PUNCT
fuelectenerg-2758	40	25	)	)	PUNCT
fuelectenerg-2758	40	26	(	(	PUNCT
fuelectenerg-2758	40	27	1	1	X
fuelectenerg-2758	40	28	)	)	PUNCT
fuelectenerg-2758	40	29	where	where	SCONJ
fuelectenerg-2758	40	30	(	(	PUNCT
fuelectenerg-2758	40	31	)	)	PUNCT
fuelectenerg-2758	40	32	is	be	AUX
fuelectenerg-2758	40	33	the	the	DET
fuelectenerg-2758	40	34	set	set	NOUN
fuelectenerg-2758	40	35	of	of	ADP
fuelectenerg-2758	40	36	cylindrical	cylindrical	ADJ
fuelectenerg-2758	40	37	coordinates	coordinate	NOUN
fuelectenerg-2758	40	38	and	and	CCONJ
fuelectenerg-2758	40	39	the	the	DET
fuelectenerg-2758	40	40	structure	structure	NOUN
fuelectenerg-2758	40	41	is	be	AUX
fuelectenerg-2758	40	42	centered	center	VERB
fuelectenerg-2758	40	43	around	around	ADP
fuelectenerg-2758	40	44	the	the	DET
fuelectenerg-2758	40	45	z	z	NOUN
fuelectenerg-2758	40	46	-	-	PUNCT
fuelectenerg-2758	40	47	axis	axis	NOUN
fuelectenerg-2758	40	48	.	.	PUNCT
fuelectenerg-2758	41	1	we	we	PRON
fuelectenerg-2758	41	2	consider	consider	VERB
fuelectenerg-2758	41	3	a	a	DET
fuelectenerg-2758	41	4	case	case	NOUN
fuelectenerg-2758	41	5	of	of	ADP
fuelectenerg-2758	41	6	te	te	ADJ
fuelectenerg-2758	41	7	-	-	PUNCT
fuelectenerg-2758	41	8	wave	wave	NOUN
fuelectenerg-2758	41	9	propagation	propagation	NOUN
fuelectenerg-2758	41	10	through	through	ADP
fuelectenerg-2758	41	11	the	the	DET
fuelectenerg-2758	41	12	structure	structure	NOUN
fuelectenerg-2758	41	13	,	,	PUNCT
fuelectenerg-2758	41	14	so	so	SCONJ
fuelectenerg-2758	41	15	that	that	SCONJ
fuelectenerg-2758	41	16	the	the	DET
fuelectenerg-2758	41	17	electric	electric	ADJ
fuelectenerg-2758	41	18	and	and	CCONJ
fuelectenerg-2758	41	19	magnetic	magnetic	ADJ
fuelectenerg-2758	41	20	field	field	NOUN
fuelectenerg-2758	41	21	are	be	AUX
fuelectenerg-2758	41	22	(	(	PUNCT
fuelectenerg-2758	41	23	)	)	PUNCT
fuelectenerg-2758	41	24	,	,	PUNCT
fuelectenerg-2758	41	25	(	(	PUNCT
fuelectenerg-2758	41	26	)	)	PUNCT
fuelectenerg-2758	41	27	(	(	PUNCT
fuelectenerg-2758	41	28	)	)	PUNCT
fuelectenerg-2758	41	29	(	(	PUNCT
fuelectenerg-2758	41	30	2	2	X
fuelectenerg-2758	41	31	)	)	PUNCT
fuelectenerg-2758	41	32	here	here	ADV
fuelectenerg-2758	41	33	we	we	PRON
fuelectenerg-2758	41	34	note	note	VERB
fuelectenerg-2758	41	35	that	that	SCONJ
fuelectenerg-2758	41	36	the	the	DET
fuelectenerg-2758	41	37	choice	choice	NOUN
fuelectenerg-2758	41	38	of	of	ADP
fuelectenerg-2758	41	39	te	te	NOUN
fuelectenerg-2758	41	40	-	-	PUNCT
fuelectenerg-2758	41	41	waves	wave	NOUN
fuelectenerg-2758	41	42	is	be	AUX
fuelectenerg-2758	41	43	by	by	ADP
fuelectenerg-2758	41	44	no	no	DET
fuelectenerg-2758	41	45	means	means	NOUN
fuelectenerg-2758	41	46	a	a	DET
fuelectenerg-2758	41	47	restriction	restriction	NOUN
fuelectenerg-2758	41	48	,	,	PUNCT
fuelectenerg-2758	41	49	and	and	CCONJ
fuelectenerg-2758	41	50	writing	write	VERB
fuelectenerg-2758	41	51	an	an	DET
fuelectenerg-2758	41	52	analogous	analogous	ADJ
fuelectenerg-2758	41	53	procedure	procedure	NOUN
fuelectenerg-2758	41	54	for	for	ADP
fuelectenerg-2758	41	55	tm	tm	NOUN
fuelectenerg-2758	41	56	-	-	PUNCT
fuelectenerg-2758	41	57	waves	wave	NOUN
fuelectenerg-2758	41	58	is	be	AUX
fuelectenerg-2758	41	59	straightforward	straightforward	ADJ
fuelectenerg-2758	41	60	.	.	PUNCT
fuelectenerg-2758	42	1	in	in	ADP
fuelectenerg-2758	42	2	the	the	DET
fuelectenerg-2758	42	3	case	case	NOUN
fuelectenerg-2758	42	4	of	of	ADP
fuelectenerg-2758	42	5	te	te	NOUN
fuelectenerg-2758	42	6	-	-	PUNCT
fuelectenerg-2758	42	7	waves	wave	NOUN
fuelectenerg-2758	42	8	as	as	SCONJ
fuelectenerg-2758	42	9	described	describe	VERB
fuelectenerg-2758	42	10	by	by	ADP
fuelectenerg-2758	42	11	(	(	PUNCT
fuelectenerg-2758	42	12	2	2	NUM
fuelectenerg-2758	42	13	)	)	PUNCT
fuelectenerg-2758	42	14	,	,	PUNCT
fuelectenerg-2758	42	15	maxwell	maxwell	PROPN
fuelectenerg-2758	42	16	equations	equation	NOUN
fuelectenerg-2758	42	17	for	for	ADP
fuelectenerg-2758	42	18	the	the	DET
fuelectenerg-2758	42	19	scalar	scalar	ADJ
fuelectenerg-2758	42	20	field	field	NOUN
fuelectenerg-2758	42	21	components	component	NOUN
fuelectenerg-2758	42	22	become	become	VERB
fuelectenerg-2758	42	23	(	(	PUNCT
fuelectenerg-2758	42	24	)	)	PUNCT
fuelectenerg-2758	42	25	,	,	PUNCT
fuelectenerg-2758	42	26	(	(	PUNCT
fuelectenerg-2758	42	27	)	)	PUNCT
fuelectenerg-2758	42	28	(	(	PUNCT
fuelectenerg-2758	42	29	)	)	PUNCT
fuelectenerg-2758	42	30	(	(	PUNCT
fuelectenerg-2758	42	31	3	3	X
fuelectenerg-2758	42	32	)	)	PUNCT
fuelectenerg-2758	42	33	(	(	PUNCT
fuelectenerg-2758	42	34	)	)	PUNCT
fuelectenerg-2758	42	35	(	(	PUNCT
fuelectenerg-2758	42	36	4	4	X
fuelectenerg-2758	42	37	)	)	PUNCT
fuelectenerg-2758	42	38	substituting	substitute	VERB
fuelectenerg-2758	42	39	equations	equation	NOUN
fuelectenerg-2758	42	40	(	(	PUNCT
fuelectenerg-2758	42	41	3	3	NUM
fuelectenerg-2758	42	42	)	)	PUNCT
fuelectenerg-2758	42	43	into	into	ADP
fuelectenerg-2758	42	44	(	(	PUNCT
fuelectenerg-2758	42	45	4	4	NUM
fuelectenerg-2758	42	46	)	)	PUNCT
fuelectenerg-2758	42	47	,	,	PUNCT
fuelectenerg-2758	42	48	we	we	PRON
fuelectenerg-2758	42	49	obtain	obtain	VERB
fuelectenerg-2758	42	50	helmholtz	helmholtz	NOUN
fuelectenerg-2758	42	51	equation	equation	NOUN
fuelectenerg-2758	42	52	for	for	ADP
fuelectenerg-2758	42	53	the	the	DET
fuelectenerg-2758	42	54	electric	electric	ADJ
fuelectenerg-2758	42	55	field	field	NOUN
fuelectenerg-2758	42	56	(	(	PUNCT
fuelectenerg-2758	42	57	)	)	PUNCT
fuelectenerg-2758	42	58	(	(	PUNCT
fuelectenerg-2758	42	59	)	)	PUNCT
fuelectenerg-2758	42	60	(	(	PUNCT
fuelectenerg-2758	42	61	)	)	PUNCT
fuelectenerg-2758	42	62	(	(	PUNCT
fuelectenerg-2758	42	63	)	)	PUNCT
fuelectenerg-2758	42	64	(	(	PUNCT
fuelectenerg-2758	42	65	)	)	PUNCT
fuelectenerg-2758	42	66	(	(	PUNCT
fuelectenerg-2758	42	67	)	)	PUNCT
fuelectenerg-2758	42	68	(	(	PUNCT
fuelectenerg-2758	42	69	)	)	PUNCT
fuelectenerg-2758	42	70	(	(	PUNCT
fuelectenerg-2758	42	71	5	5	NUM
fuelectenerg-2758	42	72	)	)	PUNCT
fuelectenerg-2758	42	73	or	or	CCONJ
fuelectenerg-2758	42	74	introducing	introduce	VERB
fuelectenerg-2758	42	75	a	a	DET
fuelectenerg-2758	42	76	new	new	ADJ
fuelectenerg-2758	42	77	function	function	NOUN
fuelectenerg-2758	42	78	(	(	PUNCT
fuelectenerg-2758	42	79	)	)	PUNCT
fuelectenerg-2758	42	80	(	(	PUNCT
fuelectenerg-2758	42	81	)	)	PUNCT
fuelectenerg-2758	42	82	(	(	PUNCT
fuelectenerg-2758	42	83	)	)	PUNCT
fuelectenerg-2758	42	84	(	(	PUNCT
fuelectenerg-2758	42	85	)	)	PUNCT
fuelectenerg-2758	42	86	(	(	PUNCT
fuelectenerg-2758	42	87	6	6	NUM
fuelectenerg-2758	42	88	)	)	PUNCT
fuelectenerg-2758	42	89	where	where	SCONJ
fuelectenerg-2758	42	90	.	.	PUNCT
fuelectenerg-2758	43	1	the	the	DET
fuelectenerg-2758	43	2	equation	equation	NOUN
fuelectenerg-2758	43	3	(	(	PUNCT
fuelectenerg-2758	43	4	5	5	NUM
fuelectenerg-2758	43	5	)	)	PUNCT
fuelectenerg-2758	43	6	,	,	PUNCT
fuelectenerg-2758	43	7	or	or	CCONJ
fuelectenerg-2758	43	8	(	(	PUNCT
fuelectenerg-2758	43	9	6	6	NUM
fuelectenerg-2758	43	10	)	)	PUNCT
fuelectenerg-2758	43	11	,	,	PUNCT
fuelectenerg-2758	43	12	is	be	AUX
fuelectenerg-2758	43	13	quite	quite	ADV
fuelectenerg-2758	43	14	general	general	ADJ
fuelectenerg-2758	43	15	.	.	PUNCT
fuelectenerg-2758	44	1	after	after	ADP
fuelectenerg-2758	44	2	choosing	choose	VERB
fuelectenerg-2758	44	3	suitable	suitable	ADJ
fuelectenerg-2758	44	4	model	model	NOUN
fuelectenerg-2758	44	5	functions	function	NOUN
fuelectenerg-2758	44	6	(	(	PUNCT
fuelectenerg-2758	44	7	)	)	PUNCT
fuelectenerg-2758	44	8	(	(	PUNCT
fuelectenerg-2758	44	9	)	)	PUNCT
fuelectenerg-2758	44	10	(	(	PUNCT
fuelectenerg-2758	44	11	)	)	PUNCT
fuelectenerg-2758	44	12	and	and	CCONJ
fuelectenerg-2758	44	13	(	(	PUNCT
fuelectenerg-2758	44	14	)	)	PUNCT
fuelectenerg-2758	44	15	(	(	PUNCT
fuelectenerg-2758	44	16	)	)	PUNCT
fuelectenerg-2758	44	17	(	(	PUNCT
fuelectenerg-2758	44	18	)	)	PUNCT
fuelectenerg-2758	44	19	,	,	PUNCT
fuelectenerg-2758	44	20	if	if	SCONJ
fuelectenerg-2758	44	21	we	we	PRON
fuelectenerg-2758	44	22	can	can	AUX
fuelectenerg-2758	44	23	determine	determine	VERB
fuelectenerg-2758	44	24	the	the	DET
fuelectenerg-2758	44	25	analytic	analytic	ADJ
fuelectenerg-2758	44	26	solution	solution	NOUN
fuelectenerg-2758	44	27	for	for	ADP
fuelectenerg-2758	44	28	the	the	DET
fuelectenerg-2758	44	29	electric	electric	ADJ
fuelectenerg-2758	44	30	field	field	NOUN
fuelectenerg-2758	44	31	(	(	PUNCT
fuelectenerg-2758	44	32	)	)	PUNCT
fuelectenerg-2758	44	33	,	,	PUNCT
fuelectenerg-2758	44	34	then	then	ADV
fuelectenerg-2758	44	35	using	use	VERB
fuelectenerg-2758	44	36	(	(	PUNCT
fuelectenerg-2758	44	37	3	3	X
fuelectenerg-2758	44	38	)	)	PUNCT
fuelectenerg-2758	44	39	we	we	PRON
fuelectenerg-2758	44	40	can	can	AUX
fuelectenerg-2758	44	41	readily	readily	ADV
fuelectenerg-2758	44	42	obtain	obtain	VERB
fuelectenerg-2758	44	43	the	the	DET
fuelectenerg-2758	44	44	magnetic	magnetic	ADJ
fuelectenerg-2758	44	45	field	field	NOUN
fuelectenerg-2758	44	46	components	component	NOUN
fuelectenerg-2758	44	47	(	(	PUNCT
fuelectenerg-2758	44	48	)	)	PUNCT
fuelectenerg-2758	44	49	and	and	CCONJ
fuelectenerg-2758	44	50	(	(	PUNCT
fuelectenerg-2758	44	51	)	)	PUNCT
fuelectenerg-2758	44	52	as	as	ADV
fuelectenerg-2758	44	53	well	well	ADV
fuelectenerg-2758	44	54	.	.	PUNCT
fuelectenerg-2758	45	1	the	the	DET
fuelectenerg-2758	45	2	challenge	challenge	NOUN
fuelectenerg-2758	45	3	is	be	AUX
fuelectenerg-2758	45	4	therefore	therefore	ADV
fuelectenerg-2758	45	5	to	to	PART
fuelectenerg-2758	45	6	find	find	VERB
fuelectenerg-2758	45	7	suitable	suitable	ADJ
fuelectenerg-2758	45	8	model	model	NOUN
fuelectenerg-2758	45	9	functions	function	NOUN
fuelectenerg-2758	45	10	(	(	PUNCT
fuelectenerg-2758	45	11	)	)	PUNCT
fuelectenerg-2758	45	12	(	(	PUNCT
fuelectenerg-2758	45	13	)	)	PUNCT
fuelectenerg-2758	45	14	(	(	PUNCT
fuelectenerg-2758	45	15	)	)	PUNCT
fuelectenerg-2758	45	16	and	and	CCONJ
fuelectenerg-2758	45	17	(	(	PUNCT
fuelectenerg-2758	45	18	)	)	PUNCT
fuelectenerg-2758	45	19	(	(	PUNCT
fuelectenerg-2758	45	20	)	)	PUNCT
fuelectenerg-2758	45	21	(	(	PUNCT
fuelectenerg-2758	45	22	)	)	PUNCT
fuelectenerg-2758	45	23	that	that	PRON
fuelectenerg-2758	45	24	provide	provide	VERB
fuelectenerg-2758	45	25	642	642	NUM
fuelectenerg-2758	45	26	m.	m.	NOUN
fuelectenerg-2758	45	27	dalarsson	dalarsson	PROPN
fuelectenerg-2758	45	28	,	,	PUNCT
fuelectenerg-2758	45	29	r.	r.	PROPN
fuelectenerg-2758	45	30	mittra	mittra	PROPN
fuelectenerg-2758	45	31	a	a	DET
fuelectenerg-2758	45	32	reasonable	reasonable	ADJ
fuelectenerg-2758	45	33	resemblance	resemblance	NOUN
fuelectenerg-2758	45	34	of	of	ADP
fuelectenerg-2758	45	35	actual	actual	ADJ
fuelectenerg-2758	45	36	design	design	NOUN
fuelectenerg-2758	45	37	structures	structure	NOUN
fuelectenerg-2758	45	38	like	like	ADP
fuelectenerg-2758	45	39	the	the	DET
fuelectenerg-2758	45	40	one	one	NOUN
fuelectenerg-2758	45	41	described	describe	VERB
fuelectenerg-2758	45	42	in	in	ADP
fuelectenerg-2758	45	43	table	table	NOUN
fuelectenerg-2758	45	44	1	1	NUM
fuelectenerg-2758	45	45	and	and	CCONJ
fuelectenerg-2758	45	46	fig	fig	NOUN
fuelectenerg-2758	45	47	.	.	PUNCT
fuelectenerg-2758	45	48	2	2	NUM
fuelectenerg-2758	45	49	of	of	ADP
fuelectenerg-2758	45	50	[	[	X
fuelectenerg-2758	45	51	3	3	NUM
fuelectenerg-2758	45	52	]	]	PUNCT
fuelectenerg-2758	45	53	.	.	PUNCT
fuelectenerg-2758	46	1	3	3	X
fuelectenerg-2758	46	2	.	.	X
fuelectenerg-2758	46	3	analytics	analytic	NOUN
fuelectenerg-2758	46	4	of	of	ADP
fuelectenerg-2758	46	5	a	a	DET
fuelectenerg-2758	46	6	simple	simple	ADJ
fuelectenerg-2758	46	7	model	model	NOUN
fuelectenerg-2758	46	8	of	of	ADP
fuelectenerg-2758	46	9	composite	composite	ADJ
fuelectenerg-2758	46	10	designs	design	NOUN
fuelectenerg-2758	46	11	at	at	ADP
fuelectenerg-2758	46	12	this	this	DET
fuelectenerg-2758	46	13	stage	stage	NOUN
fuelectenerg-2758	46	14	,	,	PUNCT
fuelectenerg-2758	46	15	we	we	PRON
fuelectenerg-2758	46	16	need	need	VERB
fuelectenerg-2758	46	17	to	to	PART
fuelectenerg-2758	46	18	restrict	restrict	VERB
fuelectenerg-2758	46	19	the	the	DET
fuelectenerg-2758	46	20	form	form	NOUN
fuelectenerg-2758	46	21	of	of	ADP
fuelectenerg-2758	46	22	the	the	DET
fuelectenerg-2758	46	23	functions	function	NOUN
fuelectenerg-2758	46	24	(	(	PUNCT
fuelectenerg-2758	46	25	1	1	X
fuelectenerg-2758	46	26	)	)	PUNCT
fuelectenerg-2758	46	27	to	to	PART
fuelectenerg-2758	46	28	allow	allow	VERB
fuelectenerg-2758	46	29	for	for	ADP
fuelectenerg-2758	46	30	a	a	DET
fuelectenerg-2758	46	31	suitable	suitable	ADJ
fuelectenerg-2758	46	32	analytical	analytical	ADJ
fuelectenerg-2758	46	33	solution	solution	NOUN
fuelectenerg-2758	46	34	.	.	PUNCT
fuelectenerg-2758	47	1	let	let	VERB
fuelectenerg-2758	47	2	us	we	PRON
fuelectenerg-2758	47	3	here	here	ADV
fuelectenerg-2758	47	4	consider	consider	VERB
fuelectenerg-2758	47	5	a	a	DET
fuelectenerg-2758	47	6	simple	simple	ADJ
fuelectenerg-2758	47	7	model	model	NOUN
fuelectenerg-2758	47	8	where	where	SCONJ
fuelectenerg-2758	47	9	(	(	PUNCT
fuelectenerg-2758	47	10	)	)	PUNCT
fuelectenerg-2758	47	11	(	(	PUNCT
fuelectenerg-2758	47	12	)	)	PUNCT
fuelectenerg-2758	47	13	(	(	PUNCT
fuelectenerg-2758	47	14	)	)	PUNCT
fuelectenerg-2758	47	15	(	(	PUNCT
fuelectenerg-2758	47	16	(	(	PUNCT
fuelectenerg-2758	47	17	)	)	PUNCT
fuelectenerg-2758	47	18	)	)	PUNCT
fuelectenerg-2758	47	19	,	,	PUNCT
fuelectenerg-2758	47	20	(	(	PUNCT
fuelectenerg-2758	47	21	)	)	PUNCT
fuelectenerg-2758	47	22	(	(	PUNCT
fuelectenerg-2758	47	23	7	7	X
fuelectenerg-2758	47	24	)	)	PUNCT
fuelectenerg-2758	47	25	in	in	ADP
fuelectenerg-2758	47	26	(	(	PUNCT
fuelectenerg-2758	47	27	7	7	X
fuelectenerg-2758	47	28	)	)	PUNCT
fuelectenerg-2758	47	29	we	we	PRON
fuelectenerg-2758	47	30	require	require	VERB
fuelectenerg-2758	47	31	that	that	SCONJ
fuelectenerg-2758	47	32	at	at	ADP
fuelectenerg-2758	47	33	large	large	ADJ
fuelectenerg-2758	47	34	distances	distance	NOUN
fuelectenerg-2758	47	35	(	(	PUNCT
fuelectenerg-2758	47	36	)	)	PUNCT
fuelectenerg-2758	47	37	the	the	DET
fuelectenerg-2758	47	38	composite	composite	ADJ
fuelectenerg-2758	47	39	permittivity	permittivity	NOUN
fuelectenerg-2758	47	40	(	(	PUNCT
fuelectenerg-2758	47	41	)	)	PUNCT
fuelectenerg-2758	47	42	becomes	become	VERB
fuelectenerg-2758	47	43	unity	unity	NOUN
fuelectenerg-2758	47	44	,	,	PUNCT
fuelectenerg-2758	47	45	which	which	PRON
fuelectenerg-2758	47	46	describes	describe	VERB
fuelectenerg-2758	47	47	the	the	DET
fuelectenerg-2758	47	48	gradual	gradual	ADJ
fuelectenerg-2758	47	49	transition	transition	NOUN
fuelectenerg-2758	47	50	to	to	ADP
fuelectenerg-2758	47	51	the	the	DET
fuelectenerg-2758	47	52	free	free	ADJ
fuelectenerg-2758	47	53	space	space	NOUN
fuelectenerg-2758	47	54	outside	outside	ADP
fuelectenerg-2758	47	55	the	the	DET
fuelectenerg-2758	47	56	structure	structure	NOUN
fuelectenerg-2758	47	57	.	.	PUNCT
fuelectenerg-2758	48	1	this	this	PRON
fuelectenerg-2758	48	2	is	be	AUX
fuelectenerg-2758	48	3	simultaneously	simultaneously	ADV
fuelectenerg-2758	48	4	the	the	DET
fuelectenerg-2758	48	5	condition	condition	NOUN
fuelectenerg-2758	48	6	for	for	ADP
fuelectenerg-2758	48	7	the	the	DET
fuelectenerg-2758	48	8	antireflective	antireflective	ADJ
fuelectenerg-2758	48	9	behavior	behavior	NOUN
fuelectenerg-2758	48	10	of	of	ADP
fuelectenerg-2758	48	11	the	the	DET
fuelectenerg-2758	48	12	lens	lens	NOUN
fuelectenerg-2758	48	13	surface	surface	NOUN
fuelectenerg-2758	48	14	and	and	CCONJ
fuelectenerg-2758	48	15	thus	thus	ADV
fuelectenerg-2758	48	16	the	the	DET
fuelectenerg-2758	48	17	maximum	maximum	ADJ
fuelectenerg-2758	48	18	input	input	NOUN
fuelectenerg-2758	48	19	electromagnetic	electromagnetic	ADJ
fuelectenerg-2758	48	20	flux	flux	NOUN
fuelectenerg-2758	48	21	.	.	PUNCT
fuelectenerg-2758	49	1	utilizing	utilize	VERB
fuelectenerg-2758	49	2	(	(	PUNCT
fuelectenerg-2758	49	3	7	7	NUM
fuelectenerg-2758	49	4	)	)	PUNCT
fuelectenerg-2758	49	5	and	and	CCONJ
fuelectenerg-2758	49	6	separating	separate	VERB
fuelectenerg-2758	49	7	variables	variable	NOUN
fuelectenerg-2758	49	8	using	use	VERB
fuelectenerg-2758	49	9	the	the	DET
fuelectenerg-2758	49	10	ansatz	ansatz	ADJ
fuelectenerg-2758	49	11	(	(	PUNCT
fuelectenerg-2758	49	12	)	)	PUNCT
fuelectenerg-2758	49	13	(	(	PUNCT
fuelectenerg-2758	49	14	)	)	PUNCT
fuelectenerg-2758	49	15	(	(	PUNCT
fuelectenerg-2758	49	16	)	)	PUNCT
fuelectenerg-2758	49	17	(	(	PUNCT
fuelectenerg-2758	49	18	)	)	PUNCT
fuelectenerg-2758	49	19	,	,	PUNCT
fuelectenerg-2758	49	20	the	the	DET
fuelectenerg-2758	49	21	equation	equation	NOUN
fuelectenerg-2758	49	22	(	(	PUNCT
fuelectenerg-2758	49	23	6	6	NUM
fuelectenerg-2758	49	24	)	)	PUNCT
fuelectenerg-2758	49	25	gives	give	VERB
fuelectenerg-2758	49	26	rise	rise	NOUN
fuelectenerg-2758	49	27	to	to	ADP
fuelectenerg-2758	49	28	two	two	NUM
fuelectenerg-2758	49	29	ordinary	ordinary	ADJ
fuelectenerg-2758	49	30	differential	differential	ADJ
fuelectenerg-2758	49	31	equations	equation	NOUN
fuelectenerg-2758	49	32	for	for	ADP
fuelectenerg-2758	49	33	the	the	DET
fuelectenerg-2758	49	34	two	two	NUM
fuelectenerg-2758	49	35	functions	function	NOUN
fuelectenerg-2758	49	36	,	,	PUNCT
fuelectenerg-2758	49	37	(	(	PUNCT
fuelectenerg-2758	49	38	)	)	PUNCT
fuelectenerg-2758	49	39	and	and	CCONJ
fuelectenerg-2758	49	40	(	(	PUNCT
fuelectenerg-2758	49	41	)	)	PUNCT
fuelectenerg-2758	49	42	,	,	PUNCT
fuelectenerg-2758	49	43	as	as	SCONJ
fuelectenerg-2758	49	44	follows	follow	VERB
fuelectenerg-2758	49	45	(	(	PUNCT
fuelectenerg-2758	49	46	)	)	PUNCT
fuelectenerg-2758	49	47	(	(	PUNCT
fuelectenerg-2758	49	48	8)	8)	NUM
fuelectenerg-2758	49	49	[	[	PUNCT
fuelectenerg-2758	49	50	(	(	PUNCT
fuelectenerg-2758	49	51	)	)	PUNCT
fuelectenerg-2758	49	52	]	]	PUNCT
fuelectenerg-2758	49	53	(	(	PUNCT
fuelectenerg-2758	49	54	9	9	X
fuelectenerg-2758	49	55	)	)	PUNCT
fuelectenerg-2758	49	56	as	as	SCONJ
fuelectenerg-2758	49	57	indicated	indicate	VERB
fuelectenerg-2758	49	58	in	in	ADP
fuelectenerg-2758	49	59	(	(	PUNCT
fuelectenerg-2758	49	60	8)	8)	NUM
fuelectenerg-2758	49	61	,	,	PUNCT
fuelectenerg-2758	49	62	the	the	DET
fuelectenerg-2758	49	63	solutions	solution	NOUN
fuelectenerg-2758	49	64	for	for	ADP
fuelectenerg-2758	49	65	(	(	PUNCT
fuelectenerg-2758	49	66	)	)	PUNCT
fuelectenerg-2758	49	67	are	be	AUX
fuelectenerg-2758	49	68	simple	simple	ADJ
fuelectenerg-2758	49	69	plane	plane	NOUN
fuelectenerg-2758	49	70	waves	wave	NOUN
fuelectenerg-2758	49	71	propagating	propagate	VERB
fuelectenerg-2758	49	72	in	in	ADP
fuelectenerg-2758	49	73	the	the	DET
fuelectenerg-2758	49	74	z	z	NOUN
fuelectenerg-2758	49	75	-	-	NOUN
fuelectenerg-2758	49	76	direction	direction	NOUN
fuelectenerg-2758	49	77	,	,	PUNCT
fuelectenerg-2758	49	78	and	and	CCONJ
fuelectenerg-2758	49	79	we	we	PRON
fuelectenerg-2758	49	80	only	only	ADV
fuelectenerg-2758	49	81	need	need	VERB
fuelectenerg-2758	49	82	to	to	PART
fuelectenerg-2758	49	83	solve	solve	VERB
fuelectenerg-2758	49	84	equation	equation	NOUN
fuelectenerg-2758	49	85	(	(	PUNCT
fuelectenerg-2758	49	86	9	9	NUM
fuelectenerg-2758	49	87	)	)	PUNCT
fuelectenerg-2758	49	88	.	.	PUNCT
fuelectenerg-2758	50	1	introducing	introduce	VERB
fuelectenerg-2758	50	2	(	(	PUNCT
fuelectenerg-2758	50	3	)	)	PUNCT
fuelectenerg-2758	50	4	√	√	PROPN
fuelectenerg-2758	50	5	(	(	PUNCT
fuelectenerg-2758	50	6	)	)	PUNCT
fuelectenerg-2758	50	7	,	,	PUNCT
fuelectenerg-2758	50	8	the	the	DET
fuelectenerg-2758	50	9	equation	equation	NOUN
fuelectenerg-2758	50	10	(	(	PUNCT
fuelectenerg-2758	50	11	9	9	X
fuelectenerg-2758	50	12	)	)	PUNCT
fuelectenerg-2758	50	13	becomes	become	VERB
fuelectenerg-2758	50	14	*	*	PUNCT
fuelectenerg-2758	50	15	(	(	PUNCT
fuelectenerg-2758	50	16	)	)	PUNCT
fuelectenerg-2758	51	1	+	+	CCONJ
fuelectenerg-2758	51	2	(	(	PUNCT
fuelectenerg-2758	51	3	10	10	NUM
fuelectenerg-2758	51	4	)	)	PUNCT
fuelectenerg-2758	51	5	let	let	VERB
fuelectenerg-2758	51	6	us	we	PRON
fuelectenerg-2758	51	7	now	now	ADV
fuelectenerg-2758	51	8	introduce	introduce	VERB
fuelectenerg-2758	51	9	two	two	NUM
fuelectenerg-2758	51	10	constants	constant	NOUN
fuelectenerg-2758	51	11	,	,	PUNCT
fuelectenerg-2758	51	12	,	,	PUNCT
fuelectenerg-2758	51	13	whereby	whereby	SCONJ
fuelectenerg-2758	51	14	the	the	DET
fuelectenerg-2758	51	15	equation	equation	NOUN
fuelectenerg-2758	51	16	(	(	PUNCT
fuelectenerg-2758	51	17	10	10	NUM
fuelectenerg-2758	51	18	)	)	PUNCT
fuelectenerg-2758	51	19	becomes	become	VERB
fuelectenerg-2758	51	20	the	the	DET
fuelectenerg-2758	51	21	well	well	ADV
fuelectenerg-2758	51	22	-	-	PUNCT
fuelectenerg-2758	51	23	known	know	VERB
fuelectenerg-2758	51	24	radial	radial	ADJ
fuelectenerg-2758	51	25	schrödinger	schrödinger	ADJ
fuelectenerg-2758	51	26	equation	equation	NOUN
fuelectenerg-2758	51	27	*	*	PUNCT
fuelectenerg-2758	51	28	(	(	PUNCT
fuelectenerg-2758	51	29	)	)	PUNCT
fuelectenerg-2758	51	30	(	(	PUNCT
fuelectenerg-2758	51	31	)	)	PUNCT
fuelectenerg-2758	52	1	+	+	CCONJ
fuelectenerg-2758	52	2	(	(	PUNCT
fuelectenerg-2758	52	3	11	11	NUM
fuelectenerg-2758	52	4	)	)	PUNCT
fuelectenerg-2758	52	5	where	where	SCONJ
fuelectenerg-2758	52	6	we	we	PRON
fuelectenerg-2758	52	7	notice	notice	VERB
fuelectenerg-2758	52	8	the	the	DET
fuelectenerg-2758	52	9	following	follow	VERB
fuelectenerg-2758	52	10	analogy	analogy	NOUN
fuelectenerg-2758	52	11	between	between	ADP
fuelectenerg-2758	52	12	the	the	DET
fuelectenerg-2758	52	13	parameters	parameter	NOUN
fuelectenerg-2758	52	14	of	of	ADP
fuelectenerg-2758	52	15	the	the	DET
fuelectenerg-2758	52	16	electromagnetic	electromagnetic	ADJ
fuelectenerg-2758	52	17	equation	equation	NOUN
fuelectenerg-2758	52	18	(	(	PUNCT
fuelectenerg-2758	52	19	11	11	NUM
fuelectenerg-2758	52	20	)	)	PUNCT
fuelectenerg-2758	52	21	and	and	CCONJ
fuelectenerg-2758	52	22	the	the	DET
fuelectenerg-2758	52	23	parameters	parameter	NOUN
fuelectenerg-2758	52	24	of	of	ADP
fuelectenerg-2758	52	25	the	the	DET
fuelectenerg-2758	52	26	usual	usual	ADJ
fuelectenerg-2758	52	27	quantum	quantum	ADJ
fuelectenerg-2758	52	28	-	-	ADJ
fuelectenerg-2758	52	29	mechanical	mechanical	ADJ
fuelectenerg-2758	52	30	radial	radial	ADJ
fuelectenerg-2758	52	31	schrödinger	schrödinger	ADJ
fuelectenerg-2758	52	32	equation	equation	NOUN
fuelectenerg-2758	52	33	(	(	PUNCT
fuelectenerg-2758	52	34	)	)	PUNCT
fuelectenerg-2758	52	35	(	(	PUNCT
fuelectenerg-2758	52	36	)	)	PUNCT
fuelectenerg-2758	52	37	(	(	PUNCT
fuelectenerg-2758	52	38	12	12	NUM
fuelectenerg-2758	52	39	)	)	PUNCT
fuelectenerg-2758	52	40	since	since	SCONJ
fuelectenerg-2758	52	41	we	we	PRON
fuelectenerg-2758	52	42	require	require	VERB
fuelectenerg-2758	52	43	that	that	SCONJ
fuelectenerg-2758	52	44	(	(	PUNCT
fuelectenerg-2758	52	45	)	)	PUNCT
fuelectenerg-2758	52	46	when	when	SCONJ
fuelectenerg-2758	52	47	,	,	PUNCT
fuelectenerg-2758	52	48	the	the	DET
fuelectenerg-2758	52	49	simplest	simple	ADJ
fuelectenerg-2758	52	50	model	model	NOUN
fuelectenerg-2758	52	51	that	that	PRON
fuelectenerg-2758	52	52	we	we	PRON
fuelectenerg-2758	52	53	can	can	AUX
fuelectenerg-2758	52	54	adopt	adopt	VERB
fuelectenerg-2758	52	55	is	be	AUX
fuelectenerg-2758	52	56	the	the	DET
fuelectenerg-2758	52	57	coulomb	coulomb	NOUN
fuelectenerg-2758	52	58	potential	potential	NOUN
fuelectenerg-2758	52	59	(	(	PUNCT
fuelectenerg-2758	52	60	)	)	PUNCT
fuelectenerg-2758	52	61	(	(	PUNCT
fuelectenerg-2758	52	62	)	)	PUNCT
fuelectenerg-2758	52	63	(	(	PUNCT
fuelectenerg-2758	52	64	13	13	NUM
fuelectenerg-2758	52	65	)	)	PUNCT
fuelectenerg-2758	52	66	where	where	SCONJ
fuelectenerg-2758	52	67	α	α	NOUN
fuelectenerg-2758	52	68	is	be	AUX
fuelectenerg-2758	52	69	a	a	DET
fuelectenerg-2758	52	70	constant	constant	ADJ
fuelectenerg-2758	52	71	that	that	PRON
fuelectenerg-2758	52	72	must	must	AUX
fuelectenerg-2758	52	73	be	be	AUX
fuelectenerg-2758	52	74	chosen	choose	VERB
fuelectenerg-2758	52	75	to	to	PART
fuelectenerg-2758	52	76	provide	provide	VERB
fuelectenerg-2758	52	77	the	the	DET
fuelectenerg-2758	52	78	best	good	ADJ
fuelectenerg-2758	52	79	fit	fit	NOUN
fuelectenerg-2758	52	80	to	to	ADP
fuelectenerg-2758	52	81	the	the	DET
fuelectenerg-2758	52	82	presented	present	VERB
fuelectenerg-2758	52	83	graded	grade	VERB
fuelectenerg-2758	52	84	model	model	NOUN
fuelectenerg-2758	52	85	.	.	PUNCT
fuelectenerg-2758	53	1	such	such	DET
fuelectenerg-2758	53	2	a	a	DET
fuelectenerg-2758	53	3	choice	choice	NOUN
fuelectenerg-2758	53	4	of	of	ADP
fuelectenerg-2758	53	5	(	(	PUNCT
fuelectenerg-2758	53	6	)	)	PUNCT
fuelectenerg-2758	53	7	introduces	introduce	VERB
fuelectenerg-2758	53	8	an	an	DET
fuelectenerg-2758	53	9	unphysical	unphysical	ADJ
fuelectenerg-2758	53	10	singularity	singularity	NOUN
fuelectenerg-2758	53	11	of	of	ADP
fuelectenerg-2758	53	12	the	the	DET
fuelectenerg-2758	53	13	permittivity	permittivity	NOUN
fuelectenerg-2758	53	14	function	function	NOUN
fuelectenerg-2758	53	15	for	for	ADP
fuelectenerg-2758	53	16	,	,	PUNCT
fuelectenerg-2758	53	17	but	but	CCONJ
fuelectenerg-2758	53	18	with	with	ADP
fuelectenerg-2758	53	19	a	a	DET
fuelectenerg-2758	53	20	proper	proper	ADJ
fuelectenerg-2758	53	21	choice	choice	NOUN
fuelectenerg-2758	53	22	of	of	ADP
fuelectenerg-2758	53	23	boundary	boundary	ADJ
fuelectenerg-2758	53	24	conditions	condition	NOUN
fuelectenerg-2758	53	25	it	it	PRON
fuelectenerg-2758	53	26	can	can	AUX
fuelectenerg-2758	53	27	provide	provide	VERB
fuelectenerg-2758	53	28	a	a	DET
fuelectenerg-2758	53	29	sufficiently	sufficiently	ADV
fuelectenerg-2758	53	30	accurate	accurate	ADJ
fuelectenerg-2758	53	31	model	model	NOUN
fuelectenerg-2758	53	32	of	of	ADP
fuelectenerg-2758	53	33	the	the	DET
fuelectenerg-2758	53	34	realistic	realistic	ADJ
fuelectenerg-2758	53	35	graded	grade	VERB
fuelectenerg-2758	53	36	permittivity	permittivity	NOUN
fuelectenerg-2758	53	37	structures	structure	NOUN
fuelectenerg-2758	53	38	.	.	PUNCT
fuelectenerg-2758	54	1	substituting	substitute	VERB
fuelectenerg-2758	54	2	(	(	PUNCT
fuelectenerg-2758	54	3	)	)	PUNCT
fuelectenerg-2758	54	4	from	from	ADP
fuelectenerg-2758	54	5	(	(	PUNCT
fuelectenerg-2758	54	6	13	13	NUM
fuelectenerg-2758	54	7	)	)	PUNCT
fuelectenerg-2758	54	8	into	into	ADP
fuelectenerg-2758	54	9	(	(	PUNCT
fuelectenerg-2758	54	10	11	11	NUM
fuelectenerg-2758	54	11	)	)	PUNCT
fuelectenerg-2758	54	12	we	we	PRON
fuelectenerg-2758	54	13	obtain	obtain	VERB
fuelectenerg-2758	54	14	*	*	PUNCT
fuelectenerg-2758	54	15	(	(	PUNCT
fuelectenerg-2758	54	16	)	)	PUNCT
fuelectenerg-2758	55	1	+	+	CCONJ
fuelectenerg-2758	55	2	(	(	PUNCT
fuelectenerg-2758	55	3	14	14	NUM
fuelectenerg-2758	55	4	)	)	PUNCT
fuelectenerg-2758	55	5	exact	exact	ADJ
fuelectenerg-2758	55	6	analytical	analytical	ADJ
fuelectenerg-2758	55	7	solutions	solution	NOUN
fuelectenerg-2758	55	8	of	of	ADP
fuelectenerg-2758	55	9	continuously	continuously	ADV
fuelectenerg-2758	55	10	graded	grade	VERB
fuelectenerg-2758	55	11	models	model	NOUN
fuelectenerg-2758	55	12	of	of	ADP
fuelectenerg-2758	55	13	flat	flat	ADJ
fuelectenerg-2758	55	14	lenses	lense	NOUN
fuelectenerg-2758	55	15	643	643	NUM
fuelectenerg-2758	55	16	the	the	DET
fuelectenerg-2758	55	17	equation	equation	NOUN
fuelectenerg-2758	55	18	(	(	PUNCT
fuelectenerg-2758	55	19	14	14	NUM
fuelectenerg-2758	55	20	)	)	PUNCT
fuelectenerg-2758	55	21	has	have	VERB
fuelectenerg-2758	55	22	an	an	DET
fuelectenerg-2758	55	23	exact	exact	ADJ
fuelectenerg-2758	55	24	analytical	analytical	ADJ
fuelectenerg-2758	55	25	solution	solution	NOUN
fuelectenerg-2758	55	26	(	(	PUNCT
fuelectenerg-2758	55	27	)	)	PUNCT
fuelectenerg-2758	55	28	(	(	PUNCT
fuelectenerg-2758	55	29	)	)	PUNCT
fuelectenerg-2758	55	30	(	(	PUNCT
fuelectenerg-2758	55	31	)	)	PUNCT
fuelectenerg-2758	55	32	(	(	PUNCT
fuelectenerg-2758	55	33	15	15	NUM
fuelectenerg-2758	55	34	)	)	PUNCT
fuelectenerg-2758	55	35	where	where	SCONJ
fuelectenerg-2758	55	36	(	(	PUNCT
fuelectenerg-2758	55	37	)	)	PUNCT
fuelectenerg-2758	55	38	(	(	PUNCT
fuelectenerg-2758	55	39	)	)	PUNCT
fuelectenerg-2758	55	40	and	and	CCONJ
fuelectenerg-2758	55	41	(	(	PUNCT
fuelectenerg-2758	55	42	)	)	PUNCT
fuelectenerg-2758	55	43	(	(	PUNCT
fuelectenerg-2758	55	44	)	)	PUNCT
fuelectenerg-2758	55	45	are	be	AUX
fuelectenerg-2758	55	46	whittaker	whittaker	NOUN
fuelectenerg-2758	55	47	functions	function	NOUN
fuelectenerg-2758	55	48	that	that	PRON
fuelectenerg-2758	55	49	can	can	AUX
fuelectenerg-2758	55	50	be	be	AUX
fuelectenerg-2758	55	51	expanded	expand	VERB
fuelectenerg-2758	55	52	in	in	ADP
fuelectenerg-2758	55	53	terms	term	NOUN
fuelectenerg-2758	55	54	ofkummer	ofkummer	ADJ
fuelectenerg-2758	55	55	confluent	confluent	ADJ
fuelectenerg-2758	55	56	hypergeometric	hypergeometric	ADJ
fuelectenerg-2758	55	57	functions	function	NOUN
fuelectenerg-2758	55	58	f1	f1	NOUN
fuelectenerg-2758	55	59	and	and	CCONJ
fuelectenerg-2758	55	60	u.	u.	PROPN
fuelectenerg-2758	55	61	based	base	VERB
fuelectenerg-2758	55	62	on	on	ADP
fuelectenerg-2758	55	63	the	the	DET
fuelectenerg-2758	55	64	asymptotic	asymptotic	ADJ
fuelectenerg-2758	55	65	behavior	behavior	NOUN
fuelectenerg-2758	55	66	of	of	ADP
fuelectenerg-2758	55	67	the	the	DET
fuelectenerg-2758	55	68	whittaker	whittaker	PROPN
fuelectenerg-2758	55	69	functions	function	NOUN
fuelectenerg-2758	55	70	for	for	ADP
fuelectenerg-2758	55	71	and	and	CCONJ
fuelectenerg-2758	55	72	,	,	PUNCT
fuelectenerg-2758	55	73	and	and	CCONJ
fuelectenerg-2758	55	74	the	the	DET
fuelectenerg-2758	55	75	physical	physical	ADJ
fuelectenerg-2758	55	76	requirements	requirement	NOUN
fuelectenerg-2758	55	77	on	on	ADP
fuelectenerg-2758	55	78	the	the	DET
fuelectenerg-2758	55	79	behavior	behavior	NOUN
fuelectenerg-2758	55	80	of	of	ADP
fuelectenerg-2758	55	81	the	the	DET
fuelectenerg-2758	55	82	electric	electric	ADJ
fuelectenerg-2758	55	83	field	field	NOUN
fuelectenerg-2758	55	84	functions	function	NOUN
fuelectenerg-2758	55	85	(	(	PUNCT
fuelectenerg-2758	55	86	)	)	PUNCT
fuelectenerg-2758	55	87	,	,	PUNCT
fuelectenerg-2758	55	88	we	we	PRON
fuelectenerg-2758	55	89	see	see	VERB
fuelectenerg-2758	55	90	that	that	SCONJ
fuelectenerg-2758	55	91	we	we	PRON
fuelectenerg-2758	55	92	must	must	AUX
fuelectenerg-2758	55	93	choose	choose	VERB
fuelectenerg-2758	55	94	c2	c2	PROPN
fuelectenerg-2758	55	95	=	=	SYM
fuelectenerg-2758	55	96	0	0	PROPN
fuelectenerg-2758	55	97	,	,	PUNCT
fuelectenerg-2758	55	98	such	such	ADJ
fuelectenerg-2758	55	99	that	that	PRON
fuelectenerg-2758	55	100	for	for	ADP
fuelectenerg-2758	55	101	,	,	PUNCT
fuelectenerg-2758	55	102	we	we	PRON
fuelectenerg-2758	55	103	have	have	VERB
fuelectenerg-2758	55	104	(	(	PUNCT
fuelectenerg-2758	55	105	)	)	PUNCT
fuelectenerg-2758	55	106	√	√	PROPN
fuelectenerg-2758	55	107	(	(	PUNCT
fuelectenerg-2758	55	108	)	)	PUNCT
fuelectenerg-2758	55	109	√	√	PROPN
fuelectenerg-2758	55	110	(	(	PUNCT
fuelectenerg-2758	55	111	)	)	PUNCT
fuelectenerg-2758	55	112	(	(	PUNCT
fuelectenerg-2758	55	113	16	16	NUM
fuelectenerg-2758	55	114	)	)	PUNCT
fuelectenerg-2758	55	115	and	and	CCONJ
fuelectenerg-2758	55	116	for	for	ADP
fuelectenerg-2758	55	117	waves	wave	NOUN
fuelectenerg-2758	55	118	propagating	propagate	VERB
fuelectenerg-2758	55	119	in	in	ADP
fuelectenerg-2758	55	120	the	the	DET
fuelectenerg-2758	55	121	positive	positive	ADJ
fuelectenerg-2758	55	122	z	z	NOUN
fuelectenerg-2758	55	123	-	-	PUNCT
fuelectenerg-2758	55	124	direction	direction	NOUN
fuelectenerg-2758	55	125	,	,	PUNCT
fuelectenerg-2758	55	126	we	we	PRON
fuelectenerg-2758	55	127	can	can	AUX
fuelectenerg-2758	55	128	write	write	VERB
fuelectenerg-2758	55	129	(	(	PUNCT
fuelectenerg-2758	55	130	)	)	PUNCT
fuelectenerg-2758	55	131	(	(	PUNCT
fuelectenerg-2758	55	132	)	)	PUNCT
fuelectenerg-2758	55	133	(	(	PUNCT
fuelectenerg-2758	55	134	)	)	PUNCT
fuelectenerg-2758	55	135	(	(	PUNCT
fuelectenerg-2758	55	136	)	)	PUNCT
fuelectenerg-2758	55	137	(	(	PUNCT
fuelectenerg-2758	55	138	17	17	NUM
fuelectenerg-2758	55	139	)	)	PUNCT
fuelectenerg-2758	55	140	it	it	PRON
fuelectenerg-2758	55	141	is	be	AUX
fuelectenerg-2758	55	142	here	here	ADV
fuelectenerg-2758	55	143	convenient	convenient	ADJ
fuelectenerg-2758	55	144	to	to	PART
fuelectenerg-2758	55	145	express	express	VERB
fuelectenerg-2758	55	146	the	the	DET
fuelectenerg-2758	55	147	result	result	NOUN
fuelectenerg-2758	55	148	(	(	PUNCT
fuelectenerg-2758	55	149	17	17	NUM
fuelectenerg-2758	55	150	)	)	PUNCT
fuelectenerg-2758	55	151	in	in	ADP
fuelectenerg-2758	55	152	terms	term	NOUN
fuelectenerg-2758	55	153	of	of	ADP
fuelectenerg-2758	55	154	kummer	kummer	ADJ
fuelectenerg-2758	55	155	confluent	confluent	ADJ
fuelectenerg-2758	55	156	hypergeometric	hypergeometric	ADJ
fuelectenerg-2758	55	157	functions	function	NOUN
fuelectenerg-2758	55	158	,	,	PUNCT
fuelectenerg-2758	55	159	in	in	ADP
fuelectenerg-2758	55	160	order	order	NOUN
fuelectenerg-2758	55	161	to	to	PART
fuelectenerg-2758	55	162	further	far	ADV
fuelectenerg-2758	55	163	clarify	clarify	VERB
fuelectenerg-2758	55	164	the	the	DET
fuelectenerg-2758	55	165	mathematical	mathematical	ADJ
fuelectenerg-2758	55	166	properties	property	NOUN
fuelectenerg-2758	55	167	of	of	ADP
fuelectenerg-2758	55	168	the	the	DET
fuelectenerg-2758	55	169	electric	electric	ADJ
fuelectenerg-2758	55	170	field	field	NOUN
fuelectenerg-2758	55	171	intensity	intensity	NOUN
fuelectenerg-2758	55	172	function	function	NOUN
fuelectenerg-2758	55	173	.	.	PUNCT
fuelectenerg-2758	56	1	thus	thus	ADV
fuelectenerg-2758	56	2	,	,	PUNCT
fuelectenerg-2758	56	3	we	we	PRON
fuelectenerg-2758	56	4	finally	finally	ADV
fuelectenerg-2758	56	5	obtain	obtain	VERB
fuelectenerg-2758	56	6	(	(	PUNCT
fuelectenerg-2758	56	7	)	)	PUNCT
fuelectenerg-2758	56	8	(	(	PUNCT
fuelectenerg-2758	56	9	)	)	PUNCT
fuelectenerg-2758	56	10	(	(	PUNCT
fuelectenerg-2758	56	11	)	)	PUNCT
fuelectenerg-2758	56	12	(	(	PUNCT
fuelectenerg-2758	56	13	18	18	NUM
fuelectenerg-2758	56	14	)	)	PUNCT
fuelectenerg-2758	56	15	the	the	DET
fuelectenerg-2758	56	16	result	result	NOUN
fuelectenerg-2758	56	17	(	(	PUNCT
fuelectenerg-2758	56	18	18	18	NUM
fuelectenerg-2758	56	19	)	)	PUNCT
fuelectenerg-2758	56	20	for	for	ADP
fuelectenerg-2758	56	21	the	the	DET
fuelectenerg-2758	56	22	electric	electric	ADJ
fuelectenerg-2758	56	23	field	field	NOUN
fuelectenerg-2758	56	24	intensity	intensity	NOUN
fuelectenerg-2758	56	25	function	function	NOUN
fuelectenerg-2758	56	26	(	(	PUNCT
fuelectenerg-2758	56	27	)	)	PUNCT
fuelectenerg-2758	56	28	refers	refer	VERB
fuelectenerg-2758	56	29	to	to	ADP
fuelectenerg-2758	56	30	the	the	DET
fuelectenerg-2758	56	31	φcomponent	φcomponent	NOUN
fuelectenerg-2758	56	32	of	of	ADP
fuelectenerg-2758	56	33	the	the	DET
fuelectenerg-2758	56	34	electric	electric	ADJ
fuelectenerg-2758	56	35	field	field	NOUN
fuelectenerg-2758	56	36	due	due	ADP
fuelectenerg-2758	56	37	to	to	ADP
fuelectenerg-2758	56	38	the	the	DET
fuelectenerg-2758	56	39	assumed	assumed	ADJ
fuelectenerg-2758	56	40	te	te	PROPN
fuelectenerg-2758	56	41	-	-	PUNCT
fuelectenerg-2758	56	42	wave	wave	NOUN
fuelectenerg-2758	56	43	as	as	SCONJ
fuelectenerg-2758	56	44	defined	define	VERB
fuelectenerg-2758	56	45	in	in	ADP
fuelectenerg-2758	56	46	(	(	PUNCT
fuelectenerg-2758	56	47	2	2	NUM
fuelectenerg-2758	56	48	)	)	PUNCT
fuelectenerg-2758	56	49	.	.	PUNCT
fuelectenerg-2758	57	1	it	it	PRON
fuelectenerg-2758	57	2	should	should	AUX
fuelectenerg-2758	57	3	however	however	ADV
fuelectenerg-2758	57	4	be	be	AUX
fuelectenerg-2758	57	5	noted	note	VERB
fuelectenerg-2758	57	6	that	that	SCONJ
fuelectenerg-2758	57	7	the	the	DET
fuelectenerg-2758	57	8	assumption	assumption	NOUN
fuelectenerg-2758	57	9	of	of	ADP
fuelectenerg-2758	57	10	the	the	DET
fuelectenerg-2758	57	11	te	te	NOUN
fuelectenerg-2758	57	12	-	-	PUNCT
fuelectenerg-2758	57	13	wave	wave	NOUN
fuelectenerg-2758	57	14	is	be	AUX
fuelectenerg-2758	57	15	by	by	ADP
fuelectenerg-2758	57	16	no	no	DET
fuelectenerg-2758	57	17	means	mean	NOUN
fuelectenerg-2758	57	18	limiting	limit	VERB
fuelectenerg-2758	57	19	the	the	DET
fuelectenerg-2758	57	20	generality	generality	NOUN
fuelectenerg-2758	57	21	of	of	ADP
fuelectenerg-2758	57	22	the	the	DET
fuelectenerg-2758	57	23	results	result	NOUN
fuelectenerg-2758	57	24	obtained	obtain	VERB
fuelectenerg-2758	57	25	in	in	ADP
fuelectenerg-2758	57	26	the	the	DET
fuelectenerg-2758	57	27	present	present	ADJ
fuelectenerg-2758	57	28	paper	paper	NOUN
fuelectenerg-2758	57	29	.	.	PUNCT
fuelectenerg-2758	58	1	the	the	DET
fuelectenerg-2758	58	2	case	case	NOUN
fuelectenerg-2758	58	3	of	of	ADP
fuelectenerg-2758	58	4	the	the	DET
fuelectenerg-2758	58	5	tm	tm	NOUN
fuelectenerg-2758	58	6	-	-	PUNCT
fuelectenerg-2758	58	7	wave	wave	NOUN
fuelectenerg-2758	58	8	is	be	AUX
fuelectenerg-2758	58	9	fully	fully	ADV
fuelectenerg-2758	58	10	analogous	analogous	ADJ
fuelectenerg-2758	58	11	to	to	ADP
fuelectenerg-2758	58	12	the	the	DET
fuelectenerg-2758	58	13	case	case	NOUN
fuelectenerg-2758	58	14	of	of	ADP
fuelectenerg-2758	58	15	the	the	DET
fuelectenerg-2758	58	16	te	te	NOUN
fuelectenerg-2758	58	17	-	-	PUNCT
fuelectenerg-2758	58	18	wave	wave	NOUN
fuelectenerg-2758	58	19	,	,	PUNCT
fuelectenerg-2758	58	20	and	and	CCONJ
fuelectenerg-2758	58	21	the	the	DET
fuelectenerg-2758	58	22	only	only	ADJ
fuelectenerg-2758	58	23	difference	difference	NOUN
fuelectenerg-2758	58	24	is	be	AUX
fuelectenerg-2758	58	25	that	that	SCONJ
fuelectenerg-2758	58	26	the	the	DET
fuelectenerg-2758	58	27	result	result	NOUN
fuelectenerg-2758	58	28	(	(	PUNCT
fuelectenerg-2758	58	29	18	18	NUM
fuelectenerg-2758	58	30	)	)	PUNCT
fuelectenerg-2758	58	31	is	be	AUX
fuelectenerg-2758	58	32	then	then	ADV
fuelectenerg-2758	58	33	valid	valid	ADJ
fuelectenerg-2758	58	34	for	for	ADP
fuelectenerg-2758	58	35	the	the	DET
fuelectenerg-2758	58	36	magnetic	magnetic	ADJ
fuelectenerg-2758	58	37	field	field	NOUN
fuelectenerg-2758	58	38	intensity	intensity	NOUN
fuelectenerg-2758	58	39	function	function	NOUN
fuelectenerg-2758	58	40	(	(	PUNCT
fuelectenerg-2758	58	41	)	)	PUNCT
fuelectenerg-2758	58	42	which	which	PRON
fuelectenerg-2758	58	43	refers	refer	VERB
fuelectenerg-2758	58	44	to	to	ADP
fuelectenerg-2758	58	45	the	the	DET
fuelectenerg-2758	58	46	φcomponent	φcomponent	NOUN
fuelectenerg-2758	58	47	of	of	ADP
fuelectenerg-2758	58	48	the	the	DET
fuelectenerg-2758	58	49	magnetic	magnetic	ADJ
fuelectenerg-2758	58	50	field	field	NOUN
fuelectenerg-2758	58	51	.	.	PUNCT
fuelectenerg-2758	59	1	the	the	DET
fuelectenerg-2758	59	2	electric	electric	ADJ
fuelectenerg-2758	59	3	field	field	NOUN
fuelectenerg-2758	59	4	components	component	NOUN
fuelectenerg-2758	59	5	(	(	PUNCT
fuelectenerg-2758	59	6	)	)	PUNCT
fuelectenerg-2758	59	7	and	and	CCONJ
fuelectenerg-2758	59	8	(	(	PUNCT
fuelectenerg-2758	59	9	)	)	PUNCT
fuelectenerg-2758	59	10	are	be	AUX
fuelectenerg-2758	59	11	then	then	ADV
fuelectenerg-2758	59	12	readily	readily	ADV
fuelectenerg-2758	59	13	obtained	obtain	VERB
fuelectenerg-2758	59	14	using	use	VERB
fuelectenerg-2758	59	15	the	the	DET
fuelectenerg-2758	59	16	tm	tm	NOUN
fuelectenerg-2758	59	17	-	-	PUNCT
fuelectenerg-2758	59	18	wave	wave	NOUN
fuelectenerg-2758	59	19	analogues	analogue	NOUN
fuelectenerg-2758	59	20	of	of	ADP
fuelectenerg-2758	59	21	the	the	DET
fuelectenerg-2758	59	22	equations	equation	NOUN
fuelectenerg-2758	59	23	(	(	PUNCT
fuelectenerg-2758	59	24	3	3	NUM
fuelectenerg-2758	59	25	)	)	PUNCT
fuelectenerg-2758	59	26	.	.	PUNCT
fuelectenerg-2758	60	1	the	the	DET
fuelectenerg-2758	60	2	choice	choice	NOUN
fuelectenerg-2758	60	3	of	of	ADP
fuelectenerg-2758	60	4	the	the	DET
fuelectenerg-2758	60	5	te	te	NOUN
fuelectenerg-2758	60	6	-	-	PUNCT
fuelectenerg-2758	60	7	wave	wave	NOUN
fuelectenerg-2758	60	8	in	in	ADP
fuelectenerg-2758	60	9	the	the	DET
fuelectenerg-2758	60	10	present	present	ADJ
fuelectenerg-2758	60	11	paper	paper	NOUN
fuelectenerg-2758	60	12	was	be	AUX
fuelectenerg-2758	60	13	made	make	VERB
fuelectenerg-2758	60	14	for	for	ADP
fuelectenerg-2758	60	15	illustration	illustration	NOUN
fuelectenerg-2758	60	16	purposes	purpose	NOUN
fuelectenerg-2758	60	17	.	.	PUNCT
fuelectenerg-2758	61	1	following	follow	VERB
fuelectenerg-2758	61	2	the	the	DET
fuelectenerg-2758	61	3	approach	approach	NOUN
fuelectenerg-2758	61	4	in	in	ADP
fuelectenerg-2758	61	5	[	[	X
fuelectenerg-2758	61	6	3	3	NUM
fuelectenerg-2758	61	7	]	]	PUNCT
fuelectenerg-2758	61	8	,	,	PUNCT
fuelectenerg-2758	61	9	the	the	DET
fuelectenerg-2758	61	10	relative	relative	ADJ
fuelectenerg-2758	61	11	permittivities	permittivitie	NOUN
fuelectenerg-2758	61	12	are	be	AUX
fuelectenerg-2758	61	13	here	here	ADV
fuelectenerg-2758	61	14	assumed	assume	VERB
fuelectenerg-2758	61	15	to	to	PART
fuelectenerg-2758	61	16	be	be	AUX
fuelectenerg-2758	61	17	real	real	ADJ
fuelectenerg-2758	61	18	functions	function	NOUN
fuelectenerg-2758	61	19	and	and	CCONJ
fuelectenerg-2758	61	20	no	no	DET
fuelectenerg-2758	61	21	dielectric	dielectric	ADJ
fuelectenerg-2758	61	22	losses	loss	NOUN
fuelectenerg-2758	61	23	are	be	AUX
fuelectenerg-2758	61	24	taken	take	VERB
fuelectenerg-2758	61	25	into	into	ADP
fuelectenerg-2758	61	26	account	account	NOUN
fuelectenerg-2758	61	27	.	.	PUNCT
fuelectenerg-2758	62	1	it	it	PRON
fuelectenerg-2758	62	2	should	should	AUX
fuelectenerg-2758	62	3	however	however	ADV
fuelectenerg-2758	62	4	be	be	AUX
fuelectenerg-2758	62	5	noted	note	VERB
fuelectenerg-2758	62	6	that	that	SCONJ
fuelectenerg-2758	62	7	there	there	PRON
fuelectenerg-2758	62	8	is	be	VERB
fuelectenerg-2758	62	9	nothing	nothing	PRON
fuelectenerg-2758	62	10	in	in	ADP
fuelectenerg-2758	62	11	the	the	DET
fuelectenerg-2758	62	12	present	present	ADJ
fuelectenerg-2758	62	13	theory	theory	NOUN
fuelectenerg-2758	62	14	that	that	PRON
fuelectenerg-2758	62	15	limits	limit	VERB
fuelectenerg-2758	62	16	the	the	DET
fuelectenerg-2758	62	17	values	value	NOUN
fuelectenerg-2758	62	18	of	of	ADP
fuelectenerg-2758	62	19	the	the	DET
fuelectenerg-2758	62	20	relative	relative	ADJ
fuelectenerg-2758	62	21	permittivities	permittivitie	NOUN
fuelectenerg-2758	62	22	to	to	PART
fuelectenerg-2758	62	23	be	be	AUX
fuelectenerg-2758	62	24	real	real	ADJ
fuelectenerg-2758	62	25	.	.	PUNCT
fuelectenerg-2758	63	1	it	it	PRON
fuelectenerg-2758	63	2	is	be	AUX
fuelectenerg-2758	63	3	fully	fully	ADV
fuelectenerg-2758	63	4	feasible	feasible	ADJ
fuelectenerg-2758	63	5	to	to	PART
fuelectenerg-2758	63	6	use	use	VERB
fuelectenerg-2758	63	7	the	the	DET
fuelectenerg-2758	63	8	present	present	ADJ
fuelectenerg-2758	63	9	model	model	NOUN
fuelectenerg-2758	63	10	with	with	ADP
fuelectenerg-2758	63	11	complex	complex	ADJ
fuelectenerg-2758	63	12	relative	relative	ADJ
fuelectenerg-2758	63	13	permittivities	permittivitie	NOUN
fuelectenerg-2758	63	14	as	as	ADV
fuelectenerg-2758	63	15	well	well	ADV
fuelectenerg-2758	63	16	.	.	PUNCT
fuelectenerg-2758	64	1	this	this	PRON
fuelectenerg-2758	64	2	will	will	AUX
fuelectenerg-2758	64	3	be	be	AUX
fuelectenerg-2758	64	4	the	the	DET
fuelectenerg-2758	64	5	subject	subject	NOUN
fuelectenerg-2758	64	6	of	of	ADP
fuelectenerg-2758	64	7	our	our	PRON
fuelectenerg-2758	64	8	future	future	ADJ
fuelectenerg-2758	64	9	studies	study	NOUN
fuelectenerg-2758	64	10	.	.	PUNCT
fuelectenerg-2758	65	1	4	4	X
fuelectenerg-2758	65	2	.	.	X
fuelectenerg-2758	65	3	study	study	NOUN
fuelectenerg-2758	65	4	of	of	ADP
fuelectenerg-2758	65	5	a	a	DET
fuelectenerg-2758	65	6	specific	specific	ADJ
fuelectenerg-2758	65	7	numerical	numerical	ADJ
fuelectenerg-2758	65	8	case	case	NOUN
fuelectenerg-2758	65	9	let	let	VERB
fuelectenerg-2758	65	10	us	we	PRON
fuelectenerg-2758	65	11	now	now	ADV
fuelectenerg-2758	65	12	turn	turn	VERB
fuelectenerg-2758	65	13	to	to	ADP
fuelectenerg-2758	65	14	the	the	DET
fuelectenerg-2758	65	15	specific	specific	ADJ
fuelectenerg-2758	65	16	case	case	NOUN
fuelectenerg-2758	65	17	of	of	ADP
fuelectenerg-2758	65	18	a	a	DET
fuelectenerg-2758	65	19	grin	grin	NOUN
fuelectenerg-2758	65	20	lens	lens	NOUN
fuelectenerg-2758	65	21	studied	study	VERB
fuelectenerg-2758	65	22	in	in	ADP
fuelectenerg-2758	65	23	[	[	X
fuelectenerg-2758	65	24	3	3	NUM
fuelectenerg-2758	65	25	]	]	PUNCT
fuelectenerg-2758	65	26	,	,	PUNCT
fuelectenerg-2758	65	27	where	where	SCONJ
fuelectenerg-2758	65	28	we	we	PRON
fuelectenerg-2758	65	29	have	have	VERB
fuelectenerg-2758	65	30	a	a	DET
fuelectenerg-2758	65	31	structure	structure	NOUN
fuelectenerg-2758	65	32	with	with	ADP
fuelectenerg-2758	65	33	radially	radially	ADV
fuelectenerg-2758	65	34	graded	grade	VERB
fuelectenerg-2758	65	35	permittivities	permittivitie	NOUN
fuelectenerg-2758	65	36	for	for	ADP
fuelectenerg-2758	65	37	the	the	DET
fuelectenerg-2758	65	38	middle	middle	ADJ
fuelectenerg-2758	65	39	layer	layer	NOUN
fuelectenerg-2758	65	40	,	,	PUNCT
fuelectenerg-2758	65	41	as	as	SCONJ
fuelectenerg-2758	65	42	listed	list	VERB
fuelectenerg-2758	65	43	in	in	ADP
fuelectenerg-2758	65	44	table	table	NOUN
fuelectenerg-2758	65	45	1	1	NUM
fuelectenerg-2758	65	46	.	.	PUNCT
fuelectenerg-2758	65	47	table	table	NOUN
fuelectenerg-2758	65	48	1	1	NUM
fuelectenerg-2758	65	49	radially	radially	ADV
fuelectenerg-2758	65	50	graded	grade	VERB
fuelectenerg-2758	65	51	permittivities	permittivitie	NOUN
fuelectenerg-2758	65	52	of	of	ADP
fuelectenerg-2758	65	53	the	the	DET
fuelectenerg-2758	65	54	middle	middle	ADJ
fuelectenerg-2758	65	55	layer	layer	NOUN
fuelectenerg-2758	65	56	of	of	ADP
fuelectenerg-2758	65	57	a	a	DET
fuelectenerg-2758	65	58	grin	grin	NOUN
fuelectenerg-2758	65	59	lens	lens	NOUN
fuelectenerg-2758	65	60	.	.	PUNCT
fuelectenerg-2758	66	1	layer	layer	NOUN
fuelectenerg-2758	66	2	1	1	NUM
fuelectenerg-2758	66	3	2	2	NUM
fuelectenerg-2758	66	4	3	3	NUM
fuelectenerg-2758	66	5	4	4	NUM
fuelectenerg-2758	66	6	5	5	NUM
fuelectenerg-2758	66	7	6	6	NUM
fuelectenerg-2758	66	8	7	7	NUM
fuelectenerg-2758	66	9	8	8	NUM
fuelectenerg-2758	66	10	9	9	NUM
fuelectenerg-2758	66	11	10	10	NUM
fuelectenerg-2758	66	12	̅	̅	NOUN
fuelectenerg-2758	66	13	(	(	PUNCT
fuelectenerg-2758	66	14	)	)	PUNCT
fuelectenerg-2758	66	15	1.5875	1.5875	NUM
fuelectenerg-2758	66	16	4.7625	4.7625	NUM
fuelectenerg-2758	66	17	7.9375	7.9375	NUM
fuelectenerg-2758	66	18	11.1125	11.1125	NUM
fuelectenerg-2758	66	19	14.2875	14.2875	NUM
fuelectenerg-2758	66	20	17.4625	17.4625	NUM
fuelectenerg-2758	66	21	20.6375	20.6375	NUM
fuelectenerg-2758	66	22	23.8125	23.8125	NUM
fuelectenerg-2758	66	23	26.9875	26.9875	NUM
fuelectenerg-2758	66	24	30.1625	30.1625	NUM
fuelectenerg-2758	66	25	(	(	PUNCT
fuelectenerg-2758	66	26	̅	̅	NOUN
fuelectenerg-2758	66	27	)	)	PUNCT
fuelectenerg-2758	66	28	25.5	25.5	NUM
fuelectenerg-2758	66	29	24.5	24.5	NUM
fuelectenerg-2758	66	30	22.3	22.3	NUM
fuelectenerg-2758	66	31	18.5	18.5	NUM
fuelectenerg-2758	66	32	14.55	14.55	NUM
fuelectenerg-2758	66	33	10.5	10.5	NUM
fuelectenerg-2758	66	34	7.65	7.65	NUM
fuelectenerg-2758	66	35	5.5	5.5	NUM
fuelectenerg-2758	66	36	3.5	3.5	NUM
fuelectenerg-2758	66	37	1.65	1.65	NUM
fuelectenerg-2758	66	38	644	644	NUM
fuelectenerg-2758	66	39	m.	m.	NOUN
fuelectenerg-2758	66	40	dalarsson	dalarsson	PROPN
fuelectenerg-2758	66	41	,	,	PUNCT
fuelectenerg-2758	66	42	r.	r.	PROPN
fuelectenerg-2758	66	43	mittra	mittra	PROPN
fuelectenerg-2758	66	44	using	use	VERB
fuelectenerg-2758	66	45	the	the	DET
fuelectenerg-2758	66	46	model	model	NOUN
fuelectenerg-2758	66	47	function	function	NOUN
fuelectenerg-2758	66	48	(	(	PUNCT
fuelectenerg-2758	66	49	7	7	NUM
fuelectenerg-2758	66	50	)	)	PUNCT
fuelectenerg-2758	66	51	with	with	ADP
fuelectenerg-2758	66	52	(	(	PUNCT
fuelectenerg-2758	66	53	13	13	NUM
fuelectenerg-2758	66	54	)	)	PUNCT
fuelectenerg-2758	66	55	,	,	PUNCT
fuelectenerg-2758	66	56	we	we	PRON
fuelectenerg-2758	66	57	obtain	obtain	VERB
fuelectenerg-2758	66	58	the	the	DET
fuelectenerg-2758	66	59	fitting	fitting	ADJ
fuelectenerg-2758	66	60	graph	graph	NOUN
fuelectenerg-2758	66	61	as	as	SCONJ
fuelectenerg-2758	66	62	shown	show	VERB
fuelectenerg-2758	66	63	in	in	ADP
fuelectenerg-2758	66	64	fig	fig	NOUN
fuelectenerg-2758	66	65	.	.	PUNCT
fuelectenerg-2758	67	1	2	2	NUM
fuelectenerg-2758	67	2	,	,	PUNCT
fuelectenerg-2758	67	3	where	where	SCONJ
fuelectenerg-2758	67	4	we	we	PRON
fuelectenerg-2758	67	5	have	have	AUX
fuelectenerg-2758	67	6	chosen	choose	VERB
fuelectenerg-2758	67	7	the	the	DET
fuelectenerg-2758	67	8	parameter	parameter	NOUN
fuelectenerg-2758	67	9	α	α	PRON
fuelectenerg-2758	67	10	to	to	PART
fuelectenerg-2758	67	11	be	be	AUX
fuelectenerg-2758	67	12	equal	equal	ADJ
fuelectenerg-2758	67	13	to	to	ADP
fuelectenerg-2758	67	14	0.36	0.36	NUM
fuelectenerg-2758	67	15	.	.	PUNCT
fuelectenerg-2758	68	1	fig	fig	NOUN
fuelectenerg-2758	68	2	.	.	PUNCT
fuelectenerg-2758	69	1	2	2	NUM
fuelectenerg-2758	69	2	fitting	fit	VERB
fuelectenerg-2758	69	3	of	of	ADP
fuelectenerg-2758	69	4	grin	grin	NOUN
fuelectenerg-2758	69	5	lens	lens	NOUN
fuelectenerg-2758	69	6	relative	relative	ADJ
fuelectenerg-2758	69	7	permittivity	permittivity	NOUN
fuelectenerg-2758	69	8	data	datum	NOUN
fuelectenerg-2758	69	9	using	use	VERB
fuelectenerg-2758	69	10	coulomb	coulomb	NOUN
fuelectenerg-2758	69	11	function	function	NOUN
fuelectenerg-2758	69	12	with	with	ADP
fuelectenerg-2758	69	13	.	.	PUNCT
fuelectenerg-2758	70	1	the	the	DET
fuelectenerg-2758	70	2	cross	cross	NOUN
fuelectenerg-2758	70	3	section	section	NOUN
fuelectenerg-2758	70	4	of	of	ADP
fuelectenerg-2758	70	5	the	the	DET
fuelectenerg-2758	70	6	solution	solution	NOUN
fuelectenerg-2758	70	7	(	(	PUNCT
fuelectenerg-2758	70	8	18	18	NUM
fuelectenerg-2758	70	9	)	)	PUNCT
fuelectenerg-2758	70	10	for	for	ADP
fuelectenerg-2758	70	11	a	a	DET
fuelectenerg-2758	70	12	constant	constant	ADJ
fuelectenerg-2758	70	13	z	z	NOUN
fuelectenerg-2758	70	14	is	be	AUX
fuelectenerg-2758	70	15	shown	show	VERB
fuelectenerg-2758	70	16	in	in	ADP
fuelectenerg-2758	70	17	fig	fig	NOUN
fuelectenerg-2758	70	18	.	.	PUNCT
fuelectenerg-2758	71	1	3	3	X
fuelectenerg-2758	71	2	.	.	X
fuelectenerg-2758	71	3	fig	fig	NOUN
fuelectenerg-2758	71	4	.	.	PUNCT
fuelectenerg-2758	72	1	3	3	NUM
fuelectenerg-2758	72	2	cross	cross	NOUN
fuelectenerg-2758	72	3	section	section	NOUN
fuelectenerg-2758	72	4	of	of	ADP
fuelectenerg-2758	72	5	the	the	DET
fuelectenerg-2758	72	6	electric	electric	ADJ
fuelectenerg-2758	72	7	field	field	NOUN
fuelectenerg-2758	72	8	function	function	NOUN
fuelectenerg-2758	72	9	e(r	e(r	NOUN
fuelectenerg-2758	72	10	,	,	PUNCT
fuelectenerg-2758	72	11	z	z	NOUN
fuelectenerg-2758	72	12	)	)	PUNCT
fuelectenerg-2758	72	13	for	for	ADP
fuelectenerg-2758	72	14	given	give	VERB
fuelectenerg-2758	72	15	constant	constant	ADJ
fuelectenerg-2758	72	16	z	z	NOUN
fuelectenerg-2758	72	17	(	(	PUNCT
fuelectenerg-2758	72	18	z	z	NOUN
fuelectenerg-2758	72	19	=	=	NOUN
fuelectenerg-2758	72	20	0	0	NUM
fuelectenerg-2758	72	21	)	)	PUNCT
fuelectenerg-2758	72	22	,	,	PUNCT
fuelectenerg-2758	72	23	with	with	ADP
fuelectenerg-2758	72	24	c1	c1	PROPN
fuelectenerg-2758	72	25	=	=	PUNCT
fuelectenerg-2758	72	26	1	1	NUM
fuelectenerg-2758	72	27	,	,	PUNCT
fuelectenerg-2758	72	28	f	f	PROPN
fuelectenerg-2758	72	29	=	=	SYM
fuelectenerg-2758	72	30	30	30	NUM
fuelectenerg-2758	72	31	ghz	ghz	NOUN
fuelectenerg-2758	72	32	,	,	PUNCT
fuelectenerg-2758	72	33	k	k	X
fuelectenerg-2758	72	34	=	=	PUNCT
fuelectenerg-2758	72	35	2π	2π	PROPN
fuelectenerg-2758	72	36	f	f	X
fuelectenerg-2758	72	37	/	/	SYM
fuelectenerg-2758	72	38	c	c	PROPN
fuelectenerg-2758	72	39	and	and	CCONJ
fuelectenerg-2758	72	40	kz	kz	PROPN
fuelectenerg-2758	72	41	=	=	PROPN
fuelectenerg-2758	72	42	0.8	0.8	NUM
fuelectenerg-2758	72	43	k.	k.	NOUN
fuelectenerg-2758	72	44	exact	exact	ADJ
fuelectenerg-2758	72	45	analytical	analytical	ADJ
fuelectenerg-2758	72	46	solutions	solution	NOUN
fuelectenerg-2758	72	47	of	of	ADP
fuelectenerg-2758	72	48	continuously	continuously	ADV
fuelectenerg-2758	72	49	graded	grade	VERB
fuelectenerg-2758	72	50	models	model	NOUN
fuelectenerg-2758	72	51	of	of	ADP
fuelectenerg-2758	72	52	flat	flat	ADJ
fuelectenerg-2758	72	53	lenses	lense	NOUN
fuelectenerg-2758	72	54	645	645	NUM
fuelectenerg-2758	72	55	finally	finally	ADV
fuelectenerg-2758	72	56	,	,	PUNCT
fuelectenerg-2758	72	57	a	a	DET
fuelectenerg-2758	72	58	three	three	NUM
fuelectenerg-2758	72	59	dimensional	dimensional	ADJ
fuelectenerg-2758	72	60	plot	plot	NOUN
fuelectenerg-2758	72	61	of	of	ADP
fuelectenerg-2758	72	62	the	the	DET
fuelectenerg-2758	72	63	solution	solution	NOUN
fuelectenerg-2758	72	64	(	(	PUNCT
fuelectenerg-2758	72	65	18	18	NUM
fuelectenerg-2758	72	66	)	)	PUNCT
fuelectenerg-2758	72	67	is	be	AUX
fuelectenerg-2758	72	68	shown	show	VERB
fuelectenerg-2758	72	69	in	in	ADP
fuelectenerg-2758	72	70	fig	fig	NOUN
fuelectenerg-2758	72	71	.	.	PUNCT
fuelectenerg-2758	73	1	4	4	X
fuelectenerg-2758	73	2	.	.	X
fuelectenerg-2758	73	3	fig	fig	NOUN
fuelectenerg-2758	73	4	.	.	PUNCT
fuelectenerg-2758	74	1	4	4	NUM
fuelectenerg-2758	74	2	electric	electric	ADJ
fuelectenerg-2758	74	3	field	field	NOUN
fuelectenerg-2758	74	4	function	function	NOUN
fuelectenerg-2758	74	5	e(r	e(r	NOUN
fuelectenerg-2758	74	6	,	,	PUNCT
fuelectenerg-2758	74	7	z	z	NOUN
fuelectenerg-2758	74	8	)	)	PUNCT
fuelectenerg-2758	74	9	.	.	PUNCT
fuelectenerg-2758	75	1	from	from	ADP
fuelectenerg-2758	75	2	fig	fig	NOUN
fuelectenerg-2758	75	3	.	.	PUNCT
fuelectenerg-2758	76	1	4	4	NUM
fuelectenerg-2758	76	2	we	we	PRON
fuelectenerg-2758	76	3	readily	readily	ADV
fuelectenerg-2758	76	4	see	see	VERB
fuelectenerg-2758	76	5	how	how	SCONJ
fuelectenerg-2758	76	6	the	the	DET
fuelectenerg-2758	76	7	wave	wave	NOUN
fuelectenerg-2758	76	8	is	be	AUX
fuelectenerg-2758	76	9	radially	radially	ADV
fuelectenerg-2758	76	10	focused	focus	VERB
fuelectenerg-2758	76	11	while	while	SCONJ
fuelectenerg-2758	76	12	moving	move	VERB
fuelectenerg-2758	76	13	along	along	ADP
fuelectenerg-2758	76	14	the	the	DET
fuelectenerg-2758	76	15	zdirection	zdirection	NOUN
fuelectenerg-2758	76	16	,	,	PUNCT
fuelectenerg-2758	76	17	as	as	SCONJ
fuelectenerg-2758	76	18	expected	expect	VERB
fuelectenerg-2758	76	19	.	.	PUNCT
fuelectenerg-2758	77	1	the	the	DET
fuelectenerg-2758	77	2	size	size	NOUN
fuelectenerg-2758	77	3	of	of	ADP
fuelectenerg-2758	77	4	the	the	DET
fuelectenerg-2758	77	5	wave	wave	NOUN
fuelectenerg-2758	77	6	amplitudes	amplitude	NOUN
fuelectenerg-2758	77	7	is	be	AUX
fuelectenerg-2758	77	8	not	not	PART
fuelectenerg-2758	77	9	normalized	normalize	VERB
fuelectenerg-2758	77	10	with	with	ADP
fuelectenerg-2758	77	11	respect	respect	NOUN
fuelectenerg-2758	77	12	to	to	ADP
fuelectenerg-2758	77	13	any	any	DET
fuelectenerg-2758	77	14	starting	starting	NOUN
fuelectenerg-2758	77	15	position	position	NOUN
fuelectenerg-2758	77	16	,	,	PUNCT
fuelectenerg-2758	77	17	and	and	CCONJ
fuelectenerg-2758	77	18	does	do	AUX
fuelectenerg-2758	77	19	not	not	PART
fuelectenerg-2758	77	20	reflect	reflect	VERB
fuelectenerg-2758	77	21	any	any	DET
fuelectenerg-2758	77	22	specific	specific	ADJ
fuelectenerg-2758	77	23	initial	initial	ADJ
fuelectenerg-2758	77	24	electric	electric	ADJ
fuelectenerg-2758	77	25	field	field	NOUN
fuelectenerg-2758	77	26	strength	strength	NOUN
fuelectenerg-2758	77	27	.	.	PUNCT
fuelectenerg-2758	78	1	even	even	ADV
fuelectenerg-2758	78	2	though	though	SCONJ
fuelectenerg-2758	78	3	the	the	DET
fuelectenerg-2758	78	4	coulomb	coulomb	NOUN
fuelectenerg-2758	78	5	function	function	NOUN
fuelectenerg-2758	78	6	is	be	AUX
fuelectenerg-2758	78	7	far	far	ADV
fuelectenerg-2758	78	8	from	from	ADP
fuelectenerg-2758	78	9	the	the	DET
fuelectenerg-2758	78	10	optimum	optimum	ADJ
fuelectenerg-2758	78	11	fit	fit	NOUN
fuelectenerg-2758	78	12	for	for	ADP
fuelectenerg-2758	78	13	the	the	DET
fuelectenerg-2758	78	14	grin	grin	NOUN
fuelectenerg-2758	78	15	lens	lens	PROPN
fuelectenerg-2758	78	16	data	datum	NOUN
fuelectenerg-2758	78	17	,	,	PUNCT
fuelectenerg-2758	78	18	the	the	DET
fuelectenerg-2758	78	19	obtained	obtain	VERB
fuelectenerg-2758	78	20	results	result	NOUN
fuelectenerg-2758	78	21	can	can	AUX
fuelectenerg-2758	78	22	be	be	AUX
fuelectenerg-2758	78	23	used	use	VERB
fuelectenerg-2758	78	24	to	to	PART
fuelectenerg-2758	78	25	describe	describe	VERB
fuelectenerg-2758	78	26	simply	simply	ADV
fuelectenerg-2758	78	27	and	and	CCONJ
fuelectenerg-2758	78	28	sufficiently	sufficiently	ADV
fuelectenerg-2758	78	29	accurately	accurately	ADV
fuelectenerg-2758	78	30	the	the	DET
fuelectenerg-2758	78	31	chosen	choose	VERB
fuelectenerg-2758	78	32	lens	len	NOUN
fuelectenerg-2758	78	33	.	.	PUNCT
fuelectenerg-2758	79	1	it	it	PRON
fuelectenerg-2758	79	2	should	should	AUX
fuelectenerg-2758	79	3	be	be	AUX
fuelectenerg-2758	79	4	noted	note	VERB
fuelectenerg-2758	79	5	here	here	ADV
fuelectenerg-2758	79	6	that	that	SCONJ
fuelectenerg-2758	79	7	our	our	PRON
fuelectenerg-2758	79	8	choice	choice	NOUN
fuelectenerg-2758	79	9	of	of	ADP
fuelectenerg-2758	79	10	the	the	DET
fuelectenerg-2758	79	11	model	model	NOUN
fuelectenerg-2758	79	12	function	function	NOUN
fuelectenerg-2758	79	13	(	(	PUNCT
fuelectenerg-2758	79	14	coulomb	coulomb	NOUN
fuelectenerg-2758	79	15	function	function	NOUN
fuelectenerg-2758	79	16	)	)	PUNCT
fuelectenerg-2758	79	17	has	have	AUX
fuelectenerg-2758	79	18	been	be	AUX
fuelectenerg-2758	79	19	made	make	VERB
fuelectenerg-2758	79	20	based	base	VERB
fuelectenerg-2758	79	21	on	on	ADP
fuelectenerg-2758	79	22	the	the	DET
fuelectenerg-2758	79	23	well	well	ADV
fuelectenerg-2758	79	24	known	know	VERB
fuelectenerg-2758	79	25	analytical	analytical	ADJ
fuelectenerg-2758	79	26	solutions	solution	NOUN
fuelectenerg-2758	79	27	for	for	ADP
fuelectenerg-2758	79	28	that	that	DET
fuelectenerg-2758	79	29	function	function	NOUN
fuelectenerg-2758	79	30	.	.	PUNCT
fuelectenerg-2758	80	1	there	there	PRON
fuelectenerg-2758	80	2	is	be	VERB
fuelectenerg-2758	80	3	a	a	DET
fuelectenerg-2758	80	4	number	number	NOUN
fuelectenerg-2758	80	5	of	of	ADP
fuelectenerg-2758	80	6	other	other	ADJ
fuelectenerg-2758	80	7	functions	function	NOUN
fuelectenerg-2758	80	8	that	that	PRON
fuelectenerg-2758	80	9	also	also	ADV
fuelectenerg-2758	80	10	allow	allow	VERB
fuelectenerg-2758	80	11	the	the	DET
fuelectenerg-2758	80	12	exact	exact	ADJ
fuelectenerg-2758	80	13	analytic	analytic	ADJ
fuelectenerg-2758	80	14	solutions	solution	NOUN
fuelectenerg-2758	80	15	of	of	ADP
fuelectenerg-2758	80	16	the	the	DET
fuelectenerg-2758	80	17	problem	problem	NOUN
fuelectenerg-2758	80	18	at	at	ADP
fuelectenerg-2758	80	19	hand	hand	NOUN
fuelectenerg-2758	80	20	,	,	PUNCT
fuelectenerg-2758	80	21	in	in	ADP
fuelectenerg-2758	80	22	particular	particular	ADJ
fuelectenerg-2758	80	23	if	if	SCONJ
fuelectenerg-2758	80	24	the	the	DET
fuelectenerg-2758	80	25	model	model	NOUN
fuelectenerg-2758	80	26	is	be	AUX
fuelectenerg-2758	80	27	extended	extend	VERB
fuelectenerg-2758	80	28	to	to	PART
fuelectenerg-2758	80	29	allow	allow	VERB
fuelectenerg-2758	80	30	the	the	DET
fuelectenerg-2758	80	31	graded	grade	VERB
fuelectenerg-2758	80	32	permeability	permeability	NOUN
fuelectenerg-2758	80	33	of	of	ADP
fuelectenerg-2758	80	34	the	the	DET
fuelectenerg-2758	80	35	lens	lens	NOUN
fuelectenerg-2758	80	36	layers	layer	NOUN
fuelectenerg-2758	80	37	.	.	PUNCT
fuelectenerg-2758	81	1	the	the	DET
fuelectenerg-2758	81	2	studies	study	NOUN
fuelectenerg-2758	81	3	of	of	ADP
fuelectenerg-2758	81	4	other	other	ADJ
fuelectenerg-2758	81	5	models	model	NOUN
fuelectenerg-2758	81	6	involving	involve	VERB
fuelectenerg-2758	81	7	such	such	ADJ
fuelectenerg-2758	81	8	more	more	ADV
fuelectenerg-2758	81	9	accurate	accurate	ADJ
fuelectenerg-2758	81	10	model	model	NOUN
fuelectenerg-2758	81	11	functions	function	NOUN
fuelectenerg-2758	81	12	will	will	AUX
fuelectenerg-2758	81	13	be	be	AUX
fuelectenerg-2758	81	14	the	the	DET
fuelectenerg-2758	81	15	subject	subject	NOUN
fuelectenerg-2758	81	16	of	of	ADP
fuelectenerg-2758	81	17	our	our	PRON
fuelectenerg-2758	81	18	coming	come	VERB
fuelectenerg-2758	81	19	papers	paper	NOUN
fuelectenerg-2758	81	20	.	.	PUNCT
fuelectenerg-2758	82	1	646	646	NUM
fuelectenerg-2758	82	2	m.	m.	NOUN
fuelectenerg-2758	82	3	dalarsson	dalarsson	PROPN
fuelectenerg-2758	82	4	,	,	PUNCT
fuelectenerg-2758	82	5	r.	r.	PROPN
fuelectenerg-2758	82	6	mittra	mittra	PROPN
fuelectenerg-2758	82	7	5	5	NUM
fuelectenerg-2758	82	8	.	.	PUNCT
fuelectenerg-2758	82	9	conclusions	conclusion	NOUN
fuelectenerg-2758	82	10	the	the	DET
fuelectenerg-2758	82	11	possibility	possibility	NOUN
fuelectenerg-2758	82	12	to	to	PART
fuelectenerg-2758	82	13	find	find	VERB
fuelectenerg-2758	82	14	exact	exact	ADJ
fuelectenerg-2758	82	15	analytic	analytic	ADJ
fuelectenerg-2758	82	16	solutions	solution	NOUN
fuelectenerg-2758	82	17	for	for	ADP
fuelectenerg-2758	82	18	the	the	DET
fuelectenerg-2758	82	19	electric	electric	ADJ
fuelectenerg-2758	82	20	and	and	CCONJ
fuelectenerg-2758	82	21	magnetic	magnetic	ADJ
fuelectenerg-2758	82	22	fields	field	NOUN
fuelectenerg-2758	82	23	in	in	ADP
fuelectenerg-2758	82	24	continuously	continuously	ADV
fuelectenerg-2758	82	25	graded	grade	VERB
fuelectenerg-2758	82	26	flat	flat	ADJ
fuelectenerg-2758	82	27	lenses	lense	NOUN
fuelectenerg-2758	82	28	has	have	AUX
fuelectenerg-2758	82	29	been	be	AUX
fuelectenerg-2758	82	30	studied	study	VERB
fuelectenerg-2758	82	31	.	.	PUNCT
fuelectenerg-2758	83	1	the	the	DET
fuelectenerg-2758	83	2	flat	flat	ADJ
fuelectenerg-2758	83	3	lenses	lense	NOUN
fuelectenerg-2758	83	4	are	be	AUX
fuelectenerg-2758	83	5	modeled	model	VERB
fuelectenerg-2758	83	6	as	as	ADP
fuelectenerg-2758	83	7	compact	compact	ADJ
fuelectenerg-2758	83	8	composites	composite	NOUN
fuelectenerg-2758	83	9	with	with	ADP
fuelectenerg-2758	83	10	continuous	continuous	ADJ
fuelectenerg-2758	83	11	permittivity	permittivity	NOUN
fuelectenerg-2758	83	12	and	and	CCONJ
fuelectenerg-2758	83	13	permeability	permeability	NOUN
fuelectenerg-2758	83	14	functions	function	NOUN
fuelectenerg-2758	83	15	which	which	PRON
fuelectenerg-2758	83	16	asymptotically	asymptotically	ADV
fuelectenerg-2758	83	17	approach	approach	VERB
fuelectenerg-2758	83	18	unity	unity	NOUN
fuelectenerg-2758	83	19	at	at	ADP
fuelectenerg-2758	83	20	the	the	DET
fuelectenerg-2758	83	21	boundaries	boundary	NOUN
fuelectenerg-2758	83	22	of	of	ADP
fuelectenerg-2758	83	23	the	the	DET
fuelectenerg-2758	83	24	composite	composite	ADJ
fuelectenerg-2758	83	25	cylinder	cylinder	NOUN
fuelectenerg-2758	83	26	.	.	PUNCT
fuelectenerg-2758	84	1	in	in	ADP
fuelectenerg-2758	84	2	order	order	NOUN
fuelectenerg-2758	84	3	to	to	PART
fuelectenerg-2758	84	4	illustrate	illustrate	VERB
fuelectenerg-2758	84	5	the	the	DET
fuelectenerg-2758	84	6	present	present	ADJ
fuelectenerg-2758	84	7	approach	approach	NOUN
fuelectenerg-2758	84	8	,	,	PUNCT
fuelectenerg-2758	84	9	we	we	PRON
fuelectenerg-2758	84	10	obtain	obtain	VERB
fuelectenerg-2758	84	11	an	an	DET
fuelectenerg-2758	84	12	exact	exact	ADJ
fuelectenerg-2758	84	13	analytic	analytic	ADJ
fuelectenerg-2758	84	14	solution	solution	NOUN
fuelectenerg-2758	84	15	for	for	ADP
fuelectenerg-2758	84	16	the	the	DET
fuelectenerg-2758	84	17	electric	electric	ADJ
fuelectenerg-2758	84	18	field	field	NOUN
fuelectenerg-2758	84	19	intensity	intensity	NOUN
fuelectenerg-2758	84	20	for	for	ADP
fuelectenerg-2758	84	21	an	an	DET
fuelectenerg-2758	84	22	fm	fm	PROPN
fuelectenerg-2758	84	23	composite	composite	ADJ
fuelectenerg-2758	84	24	lens	lens	NOUN
fuelectenerg-2758	84	25	with	with	ADP
fuelectenerg-2758	84	26	constant	constant	ADJ
fuelectenerg-2758	84	27	magnetic	magnetic	ADJ
fuelectenerg-2758	84	28	permeability	permeability	NOUN
fuelectenerg-2758	84	29	(	(	PUNCT
fuelectenerg-2758	84	30	z	z	NOUN
fuelectenerg-2758	84	31	)	)	PUNCT
fuelectenerg-2758	84	32	and	and	CCONJ
fuelectenerg-2758	84	33	radially	radially	ADV
fuelectenerg-2758	84	34	dependent	dependent	ADJ
fuelectenerg-2758	84	35	dielectric	dielectric	ADJ
fuelectenerg-2758	84	36	permittivity	permittivity	NOUN
fuelectenerg-2758	84	37	.	.	PUNCT
fuelectenerg-2758	85	1	in	in	ADP
fuelectenerg-2758	85	2	our	our	PRON
fuelectenerg-2758	85	3	coming	come	VERB
fuelectenerg-2758	85	4	research	research	NOUN
fuelectenerg-2758	85	5	efforts	effort	NOUN
fuelectenerg-2758	85	6	,	,	PUNCT
fuelectenerg-2758	85	7	we	we	PRON
fuelectenerg-2758	85	8	see	see	VERB
fuelectenerg-2758	85	9	the	the	DET
fuelectenerg-2758	85	10	need	need	NOUN
fuelectenerg-2758	85	11	to	to	PART
fuelectenerg-2758	85	12	look	look	VERB
fuelectenerg-2758	85	13	for	for	ADP
fuelectenerg-2758	85	14	the	the	DET
fuelectenerg-2758	85	15	possible	possible	ADJ
fuelectenerg-2758	85	16	models	model	NOUN
fuelectenerg-2758	85	17	with	with	ADP
fuelectenerg-2758	85	18	exact	exact	ADJ
fuelectenerg-2758	85	19	analytical	analytical	ADJ
fuelectenerg-2758	85	20	(	(	PUNCT
fuelectenerg-2758	85	21	or	or	CCONJ
fuelectenerg-2758	85	22	at	at	ADP
fuelectenerg-2758	85	23	least	least	ADJ
fuelectenerg-2758	85	24	perturbational	perturbational	ADJ
fuelectenerg-2758	85	25	and/or	and/or	CCONJ
fuelectenerg-2758	85	26	wkb	wkb	ADJ
fuelectenerg-2758	85	27	)	)	PUNCT
fuelectenerg-2758	85	28	solutions	solution	NOUN
fuelectenerg-2758	85	29	for	for	ADP
fuelectenerg-2758	85	30	graded	grade	VERB
fuelectenerg-2758	85	31	profiles	profile	NOUN
fuelectenerg-2758	85	32	of	of	ADP
fuelectenerg-2758	85	33	some	some	DET
fuelectenerg-2758	85	34	more	more	ADV
fuelectenerg-2758	85	35	complex	complex	ADJ
fuelectenerg-2758	85	36	flat	flat	ADJ
fuelectenerg-2758	85	37	-	-	PUNCT
fuelectenerg-2758	85	38	lens	lens	NOUN
fuelectenerg-2758	85	39	designs	design	NOUN
fuelectenerg-2758	85	40	studied	study	VERB
fuelectenerg-2758	85	41	in	in	ADP
fuelectenerg-2758	85	42	literature	literature	NOUN
fuelectenerg-2758	85	43	.	.	PUNCT
fuelectenerg-2758	86	1	references	reference	NOUN
fuelectenerg-2758	86	2	[	[	X
fuelectenerg-2758	86	3	1	1	NUM
fuelectenerg-2758	86	4	]	]	PUNCT
fuelectenerg-2758	86	5	r.	r.	PROPN
fuelectenerg-2758	86	6	yang	yang	PROPN
fuelectenerg-2758	86	7	,	,	PUNCT
fuelectenerg-2758	86	8	w.	w.	PROPN
fuelectenerg-2758	86	9	tang	tang	PROPN
fuelectenerg-2758	86	10	,	,	PUNCT
fuelectenerg-2758	86	11	and	and	CCONJ
fuelectenerg-2758	86	12	y.	y.	PROPN
fuelectenerg-2758	86	13	hao	hao	PROPN
fuelectenerg-2758	86	14	,	,	PUNCT
fuelectenerg-2758	86	15	"	"	PUNCT
fuelectenerg-2758	86	16	a	a	DET
fuelectenerg-2758	86	17	broadband	broadband	NOUN
fuelectenerg-2758	86	18	zone	zone	NOUN
fuelectenerg-2758	86	19	plate	plate	NOUN
fuelectenerg-2758	86	20	lens	lens	NOUN
fuelectenerg-2758	86	21	from	from	ADP
fuelectenerg-2758	86	22	transformation	transformation	NOUN
fuelectenerg-2758	86	23	optics	optic	NOUN
fuelectenerg-2758	86	24	"	"	PUNCT
fuelectenerg-2758	86	25	,	,	PUNCT
fuelectenerg-2758	86	26	optics	optic	NOUN
fuelectenerg-2758	86	27	express	express	VERB
fuelectenerg-2758	86	28	,	,	PUNCT
fuelectenerg-2758	86	29	vol	vol	NOUN
fuelectenerg-2758	86	30	.	.	PROPN
fuelectenerg-2758	87	1	19	19	NUM
fuelectenerg-2758	87	2	,	,	PUNCT
fuelectenerg-2758	87	3	no	no	INTJ
fuelectenerg-2758	87	4	.	.	NOUN
fuelectenerg-2758	87	5	13	13	NUM
fuelectenerg-2758	87	6	,	,	PUNCT
fuelectenerg-2758	87	7	pp	pp	ADJ
fuelectenerg-2758	87	8	.	.	PUNCT
fuelectenerg-2758	88	1	12348	12348	NUM
fuelectenerg-2758	88	2	12355	12355	NUM
fuelectenerg-2758	88	3	,	,	PUNCT
fuelectenerg-2758	88	4	2011	2011	NUM
fuelectenerg-2758	88	5	.	.	PUNCT
fuelectenerg-2758	89	1	[	[	X
fuelectenerg-2758	89	2	2	2	X
fuelectenerg-2758	89	3	]	]	PUNCT
fuelectenerg-2758	89	4	d.	d.	PROPN
fuelectenerg-2758	89	5	a.	a.	PROPN
fuelectenerg-2758	89	6	roberts	roberts	PROPN
fuelectenerg-2758	89	7	,	,	PUNCT
fuelectenerg-2758	89	8	n.	n.	PROPN
fuelectenerg-2758	89	9	kundtz	kundtz	PROPN
fuelectenerg-2758	89	10	,	,	PUNCT
fuelectenerg-2758	89	11	and	and	CCONJ
fuelectenerg-2758	89	12	d.	d.	PROPN
fuelectenerg-2758	89	13	r.	r.	PROPN
fuelectenerg-2758	89	14	smith	smith	PROPN
fuelectenerg-2758	89	15	,	,	PUNCT
fuelectenerg-2758	89	16	"	"	PUNCT
fuelectenerg-2758	89	17	optical	optical	ADJ
fuelectenerg-2758	89	18	lens	lens	NOUN
fuelectenerg-2758	89	19	compression	compression	NOUN
fuelectenerg-2758	89	20	via	via	ADP
fuelectenerg-2758	89	21	transformation	transformation	NOUN
fuelectenerg-2758	89	22	optics	optic	NOUN
fuelectenerg-2758	89	23	"	"	PUNCT
fuelectenerg-2758	89	24	,	,	PUNCT
fuelectenerg-2758	89	25	optics	optic	NOUN
fuelectenerg-2758	89	26	express	express	VERB
fuelectenerg-2758	89	27	,	,	PUNCT
fuelectenerg-2758	89	28	vol	vol	NOUN
fuelectenerg-2758	89	29	.	.	PROPN
fuelectenerg-2758	89	30	17	17	NUM
fuelectenerg-2758	89	31	,	,	PUNCT
fuelectenerg-2758	89	32	no	no	INTJ
fuelectenerg-2758	89	33	.	.	NOUN
fuelectenerg-2758	89	34	19	19	NUM
fuelectenerg-2758	89	35	,	,	PUNCT
fuelectenerg-2758	89	36	pp	pp	ADJ
fuelectenerg-2758	89	37	.	.	PUNCT
fuelectenerg-2758	89	38	16535	16535	NUM
fuelectenerg-2758	89	39	–	–	PUNCT
fuelectenerg-2758	89	40	16542	16542	NUM
fuelectenerg-2758	89	41	,	,	PUNCT
fuelectenerg-2758	89	42	2009	2009	NUM
fuelectenerg-2758	89	43	.	.	PUNCT
fuelectenerg-2758	90	1	[	[	X
fuelectenerg-2758	90	2	3	3	X
fuelectenerg-2758	90	3	]	]	X
fuelectenerg-2758	90	4	s.	s.	PROPN
fuelectenerg-2758	90	5	jain	jain	PROPN
fuelectenerg-2758	90	6	,	,	PUNCT
fuelectenerg-2758	90	7	m.	m.	NOUN
fuelectenerg-2758	90	8	abdel	abdel	PROPN
fuelectenerg-2758	90	9	-	-	PUNCT
fuelectenerg-2758	90	10	mageed	mageed	PROPN
fuelectenerg-2758	90	11	and	and	CCONJ
fuelectenerg-2758	90	12	r.	r.	PROPN
fuelectenerg-2758	90	13	mittra	mittra	PROPN
fuelectenerg-2758	90	14	,	,	PUNCT
fuelectenerg-2758	90	15	"	"	PUNCT
fuelectenerg-2758	90	16	flat	flat	ADJ
fuelectenerg-2758	90	17	-	-	PUNCT
fuelectenerg-2758	90	18	lens	lens	NOUN
fuelectenerg-2758	90	19	design	design	NOUN
fuelectenerg-2758	90	20	using	use	VERB
fuelectenerg-2758	90	21	field	field	NOUN
fuelectenerg-2758	90	22	transformation	transformation	NOUN
fuelectenerg-2758	90	23	and	and	CCONJ
fuelectenerg-2758	90	24	its	its	PRON
fuelectenerg-2758	90	25	comparison	comparison	NOUN
fuelectenerg-2758	90	26	with	with	ADP
fuelectenerg-2758	90	27	those	those	PRON
fuelectenerg-2758	90	28	based	base	VERB
fuelectenerg-2758	90	29	on	on	ADP
fuelectenerg-2758	90	30	transformation	transformation	NOUN
fuelectenerg-2758	90	31	optics	optic	NOUN
fuelectenerg-2758	90	32	and	and	CCONJ
fuelectenerg-2758	90	33	ray	ray	NOUN
fuelectenerg-2758	90	34	optics	optic	NOUN
fuelectenerg-2758	90	35	"	"	PUNCT
fuelectenerg-2758	90	36	,	,	PUNCT
fuelectenerg-2758	90	37	ieee	ieee	NOUN
fuelectenerg-2758	90	38	antennas	antenna	NOUN
fuelectenerg-2758	90	39	and	and	CCONJ
fuelectenerg-2758	90	40	wireless	wireless	ADJ
fuelectenerg-2758	90	41	propagation	propagation	NOUN
fuelectenerg-2758	90	42	letters	letter	NOUN
fuelectenerg-2758	90	43	,	,	PUNCT
fuelectenerg-2758	90	44	vol	vol	NOUN
fuelectenerg-2758	90	45	.	.	PROPN
fuelectenerg-2758	90	46	12	12	NUM
fuelectenerg-2758	90	47	,	,	PUNCT
fuelectenerg-2758	90	48	pp	pp	ADJ
fuelectenerg-2758	90	49	.	.	PUNCT
fuelectenerg-2758	91	1	777	777	NUM
fuelectenerg-2758	91	2	–	–	PUNCT
fuelectenerg-2758	91	3	780	780	NUM
fuelectenerg-2758	91	4	,	,	PUNCT
fuelectenerg-2758	91	5	2013	2013	NUM
fuelectenerg-2758	91	6	.	.	PUNCT
fuelectenerg-2758	92	1	[	[	X
fuelectenerg-2758	92	2	4	4	X
fuelectenerg-2758	92	3	]	]	PUNCT
fuelectenerg-2758	92	4	t.	t.	NOUN
fuelectenerg-2758	92	5	driscoll	driscoll	PROPN
fuelectenerg-2758	92	6	,	,	PUNCT
fuelectenerg-2758	92	7	g.	g.	PROPN
fuelectenerg-2758	92	8	lipworth	lipworth	PROPN
fuelectenerg-2758	92	9	,	,	PUNCT
fuelectenerg-2758	92	10	j.	j.	PROPN
fuelectenerg-2758	92	11	hunt	hunt	PROPN
fuelectenerg-2758	92	12	,	,	PUNCT
fuelectenerg-2758	92	13	n.	n.	PROPN
fuelectenerg-2758	92	14	landy	landy	PROPN
fuelectenerg-2758	92	15	,	,	PUNCT
fuelectenerg-2758	92	16	n.	n.	PROPN
fuelectenerg-2758	92	17	kundtz	kundtz	PROPN
fuelectenerg-2758	92	18	,	,	PUNCT
fuelectenerg-2758	92	19	d.	d.	PROPN
fuelectenerg-2758	92	20	n.	n.	PROPN
fuelectenerg-2758	92	21	basov	basov	PROPN
fuelectenerg-2758	92	22	,	,	PUNCT
fuelectenerg-2758	92	23	and	and	CCONJ
fuelectenerg-2758	92	24	d.	d.	PROPN
fuelectenerg-2758	92	25	r.	r.	PROPN
fuelectenerg-2758	92	26	smith	smith	PROPN
fuelectenerg-2758	92	27	,	,	PUNCT
fuelectenerg-2758	92	28	"	"	PUNCT
fuelectenerg-2758	92	29	performance	performance	NOUN
fuelectenerg-2758	92	30	of	of	ADP
fuelectenerg-2758	92	31	a	a	DET
fuelectenerg-2758	92	32	threedimensional	threedimensional	ADJ
fuelectenerg-2758	92	33	transformation	transformation	NOUN
fuelectenerg-2758	92	34	-	-	PUNCT
fuelectenerg-2758	92	35	optical	optical	ADJ
fuelectenerg-2758	92	36	flattened	flatten	VERB
fuelectenerg-2758	92	37	luneburg	luneburg	NOUN
fuelectenerg-2758	92	38	lens	len	NOUN
fuelectenerg-2758	92	39	"	"	PUNCT
fuelectenerg-2758	92	40	,	,	PUNCT
fuelectenerg-2758	92	41	optics	optic	NOUN
fuelectenerg-2758	92	42	express	express	VERB
fuelectenerg-2758	92	43	,	,	PUNCT
fuelectenerg-2758	92	44	vol	vol	NOUN
fuelectenerg-2758	92	45	.	.	PROPN
fuelectenerg-2758	92	46	20	20	NUM
fuelectenerg-2758	92	47	,	,	PUNCT
fuelectenerg-2758	92	48	no	no	INTJ
fuelectenerg-2758	92	49	.	.	NOUN
fuelectenerg-2758	92	50	12	12	NUM
fuelectenerg-2758	92	51	,	,	PUNCT
fuelectenerg-2758	92	52	pp	pp	ADJ
fuelectenerg-2758	92	53	.	.	PUNCT
fuelectenerg-2758	92	54	13264	13264	NUM
fuelectenerg-2758	92	55	13273	13273	NUM
fuelectenerg-2758	92	56	,	,	PUNCT
fuelectenerg-2758	92	57	2012	2012	NUM
fuelectenerg-2758	92	58	.	.	PUNCT
fuelectenerg-2758	93	1	[	[	X
fuelectenerg-2758	93	2	5	5	NUM
fuelectenerg-2758	93	3	]	]	PUNCT
fuelectenerg-2758	93	4	m.	m.	NOUN
fuelectenerg-2758	93	5	dalarsson	dalarsson	NOUN
fuelectenerg-2758	93	6	and	and	CCONJ
fuelectenerg-2758	93	7	p.	p.	PROPN
fuelectenerg-2758	93	8	tassin	tassin	PROPN
fuelectenerg-2758	93	9	,	,	PUNCT
fuelectenerg-2758	93	10	"	"	PUNCT
fuelectenerg-2758	93	11	analytical	analytical	ADJ
fuelectenerg-2758	93	12	solution	solution	NOUN
fuelectenerg-2758	93	13	for	for	ADP
fuelectenerg-2758	93	14	wave	wave	NOUN
fuelectenerg-2758	93	15	propagation	propagation	NOUN
fuelectenerg-2758	93	16	through	through	ADP
fuelectenerg-2758	93	17	a	a	DET
fuelectenerg-2758	93	18	graded	grade	VERB
fuelectenerg-2758	93	19	index	index	NOUN
fuelectenerg-2758	93	20	interface	interface	NOUN
fuelectenerg-2758	93	21	between	between	ADP
fuelectenerg-2758	93	22	a	a	DET
fuelectenerg-2758	93	23	right	right	ADV
fuelectenerg-2758	93	24	-	-	PUNCT
fuelectenerg-2758	93	25	handed	handed	ADJ
fuelectenerg-2758	93	26	and	and	CCONJ
fuelectenerg-2758	93	27	a	a	DET
fuelectenerg-2758	93	28	left	left	ADJ
fuelectenerg-2758	93	29	-	-	PUNCT
fuelectenerg-2758	93	30	handed	handed	ADJ
fuelectenerg-2758	93	31	material	material	NOUN
fuelectenerg-2758	93	32	"	"	PUNCT
fuelectenerg-2758	93	33	,	,	PUNCT
fuelectenerg-2758	93	34	optics	optic	NOUN
fuelectenerg-2758	93	35	express	express	VERB
fuelectenerg-2758	93	36	,	,	PUNCT
fuelectenerg-2758	93	37	vol	vol	NOUN
fuelectenerg-2758	93	38	.	.	PROPN
fuelectenerg-2758	93	39	17	17	NUM
fuelectenerg-2758	93	40	,	,	PUNCT
fuelectenerg-2758	93	41	no	no	INTJ
fuelectenerg-2758	93	42	.	.	NOUN
fuelectenerg-2758	93	43	8	8	NUM
fuelectenerg-2758	93	44	,	,	PUNCT
fuelectenerg-2758	93	45	pp	pp	ADJ
fuelectenerg-2758	93	46	.	.	PUNCT
fuelectenerg-2758	93	47	6747	6747	NUM
fuelectenerg-2758	93	48	–	–	PUNCT
fuelectenerg-2758	93	49	6752	6752	NUM
fuelectenerg-2758	93	50	,	,	PUNCT
fuelectenerg-2758	93	51	2009	2009	NUM
fuelectenerg-2758	93	52	.	.	PUNCT
fuelectenerg-2758	94	1	[	[	X
fuelectenerg-2758	94	2	6	6	NUM
fuelectenerg-2758	94	3	]	]	PUNCT
fuelectenerg-2758	94	4	m.	m.	NOUN
fuelectenerg-2758	94	5	dalarsson	dalarsson	PROPN
fuelectenerg-2758	94	6	,	,	PUNCT
fuelectenerg-2758	94	7	m.	m.	NOUN
fuelectenerg-2758	94	8	norgren	norgren	PROPN
fuelectenerg-2758	94	9	,	,	PUNCT
fuelectenerg-2758	94	10	and	and	CCONJ
fuelectenerg-2758	94	11	z.	z.	PROPN
fuelectenerg-2758	94	12	jaksic	jaksic	PROPN
fuelectenerg-2758	94	13	,	,	PUNCT
fuelectenerg-2758	94	14	"	"	PUNCT
fuelectenerg-2758	94	15	lossy	lossy	ADJ
fuelectenerg-2758	94	16	gradient	gradient	ADJ
fuelectenerg-2758	94	17	index	index	NOUN
fuelectenerg-2758	94	18	metamaterial	metamaterial	NOUN
fuelectenerg-2758	94	19	with	with	ADP
fuelectenerg-2758	94	20	sinusoidal	sinusoidal	ADJ
fuelectenerg-2758	94	21	periodicity	periodicity	NOUN
fuelectenerg-2758	94	22	of	of	ADP
fuelectenerg-2758	94	23	refractive	refractive	ADJ
fuelectenerg-2758	94	24	index	index	NOUN
fuelectenerg-2758	94	25	:	:	PUNCT
fuelectenerg-2758	94	26	case	case	NOUN
fuelectenerg-2758	94	27	of	of	ADP
fuelectenerg-2758	94	28	constant	constant	ADJ
fuelectenerg-2758	94	29	impedance	impedance	NOUN
fuelectenerg-2758	94	30	throughout	throughout	ADP
fuelectenerg-2758	94	31	the	the	DET
fuelectenerg-2758	94	32	structure	structure	NOUN
fuelectenerg-2758	94	33	"	"	PUNCT
fuelectenerg-2758	94	34	,	,	PUNCT
fuelectenerg-2758	94	35	journal	journal	NOUN
fuelectenerg-2758	94	36	of	of	ADP
fuelectenerg-2758	94	37	nanophotonics	nanophotonic	NOUN
fuelectenerg-2758	94	38	,	,	PUNCT
fuelectenerg-2758	94	39	vol	vol	NOUN
fuelectenerg-2758	94	40	.	.	PROPN
fuelectenerg-2758	94	41	5	5	NUM
fuelectenerg-2758	94	42	,	,	PUNCT
fuelectenerg-2758	94	43	no	no	INTJ
fuelectenerg-2758	94	44	.	.	NOUN
fuelectenerg-2758	94	45	1	1	NUM
fuelectenerg-2758	94	46	,	,	PUNCT
fuelectenerg-2758	94	47	pp	pp	ADJ
fuelectenerg-2758	94	48	.	.	PUNCT
fuelectenerg-2758	94	49	051804	051804	NUM
fuelectenerg-2758	94	50	-	-	SYM
fuelectenerg-2758	94	51	1	1	NUM
fuelectenerg-2758	94	52	–	–	PUNCT
fuelectenerg-2758	94	53	8	8	NUM
fuelectenerg-2758	94	54	,	,	PUNCT
fuelectenerg-2758	94	55	2011	2011	NUM
fuelectenerg-2758	94	56	.	.	PUNCT
fuelectenerg-2758	95	1	[	[	X
fuelectenerg-2758	95	2	7	7	X
fuelectenerg-2758	95	3	]	]	X
fuelectenerg-2758	95	4	m.	m.	NOUN
fuelectenerg-2758	95	5	dalarsson	dalarsson	PROPN
fuelectenerg-2758	95	6	,	,	PUNCT
fuelectenerg-2758	95	7	m.	m.	NOUN
fuelectenerg-2758	95	8	norgren	norgren	PROPN
fuelectenerg-2758	95	9	,	,	PUNCT
fuelectenerg-2758	95	10	n.	n.	NOUN
fuelectenerg-2758	95	11	doncov	doncov	NOUN
fuelectenerg-2758	95	12	,	,	PUNCT
fuelectenerg-2758	95	13	and	and	CCONJ
fuelectenerg-2758	95	14	z.	z.	PROPN
fuelectenerg-2758	95	15	jaksic	jaksic	PROPN
fuelectenerg-2758	95	16	,	,	PUNCT
fuelectenerg-2758	95	17	"	"	PUNCT
fuelectenerg-2758	95	18	lossy	lossy	ADJ
fuelectenerg-2758	95	19	gradient	gradient	ADJ
fuelectenerg-2758	95	20	index	index	NOUN
fuelectenerg-2758	95	21	transmission	transmission	NOUN
fuelectenerg-2758	95	22	optics	optic	NOUN
fuelectenerg-2758	95	23	with	with	ADP
fuelectenerg-2758	95	24	arbitrary	arbitrary	ADJ
fuelectenerg-2758	95	25	periodic	periodic	ADJ
fuelectenerg-2758	95	26	permittivity	permittivity	NOUN
fuelectenerg-2758	95	27	and	and	CCONJ
fuelectenerg-2758	95	28	permeability	permeability	NOUN
fuelectenerg-2758	95	29	and	and	CCONJ
fuelectenerg-2758	95	30	constant	constant	ADJ
fuelectenerg-2758	95	31	impedance	impedance	NOUN
fuelectenerg-2758	95	32	throughout	throughout	ADP
fuelectenerg-2758	95	33	the	the	DET
fuelectenerg-2758	95	34	structure	structure	NOUN
fuelectenerg-2758	95	35	,	,	PUNCT
fuelectenerg-2758	95	36	"	"	PUNCT
fuelectenerg-2758	95	37	journal	journal	NOUN
fuelectenerg-2758	95	38	of	of	ADP
fuelectenerg-2758	95	39	optics	optic	NOUN
fuelectenerg-2758	95	40	,	,	PUNCT
fuelectenerg-2758	95	41	vol	vol	NOUN
fuelectenerg-2758	95	42	.	.	PROPN
fuelectenerg-2758	95	43	14	14	NUM
fuelectenerg-2758	95	44	,	,	PUNCT
fuelectenerg-2758	95	45	no	no	INTJ
fuelectenerg-2758	95	46	.	.	NOUN
fuelectenerg-2758	95	47	6	6	NUM
fuelectenerg-2758	95	48	,	,	PUNCT
fuelectenerg-2758	95	49	pp	pp	ADJ
fuelectenerg-2758	95	50	.	.	PUNCT
fuelectenerg-2758	95	51	065102	065102	NUM
fuelectenerg-2758	95	52	-	-	SYM
fuelectenerg-2758	95	53	1	1	NUM
fuelectenerg-2758	95	54	–	–	PUNCT
fuelectenerg-2758	95	55	7	7	NUM
fuelectenerg-2758	95	56	,	,	PUNCT
fuelectenerg-2758	95	57	2012	2012	NUM
fuelectenerg-2758	95	58	.	.	PUNCT
fuelectenerg-2758	96	1	[	[	X
fuelectenerg-2758	96	2	8	8	NUM
fuelectenerg-2758	96	3	]	]	PUNCT
fuelectenerg-2758	96	4	m.	m.	NOUN
fuelectenerg-2758	96	5	dalarsson	dalarsson	PROPN
fuelectenerg-2758	96	6	,	,	PUNCT
fuelectenerg-2758	96	7	m.	m.	NOUN
fuelectenerg-2758	96	8	norgren	norgren	PROPN
fuelectenerg-2758	96	9	,	,	PUNCT
fuelectenerg-2758	96	10	t.	t.	PROPN
fuelectenerg-2758	96	11	asenov	asenov	PROPN
fuelectenerg-2758	96	12	,	,	PUNCT
fuelectenerg-2758	96	13	n.	n.	NOUN
fuelectenerg-2758	96	14	doncov	doncov	PROPN
fuelectenerg-2758	96	15	,	,	PUNCT
fuelectenerg-2758	96	16	and	and	CCONJ
fuelectenerg-2758	96	17	z.	z.	PROPN
fuelectenerg-2758	96	18	jaksic	jaksic	PROPN
fuelectenerg-2758	96	19	,	,	PUNCT
fuelectenerg-2758	96	20	"	"	PUNCT
fuelectenerg-2758	96	21	exact	exact	ADJ
fuelectenerg-2758	96	22	analytical	analytical	ADJ
fuelectenerg-2758	96	23	solution	solution	NOUN
fuelectenerg-2758	96	24	for	for	ADP
fuelectenerg-2758	96	25	fields	field	NOUN
fuelectenerg-2758	96	26	in	in	ADP
fuelectenerg-2758	96	27	gradient	gradient	ADJ
fuelectenerg-2758	96	28	index	index	NOUN
fuelectenerg-2758	96	29	metamaterials	metamaterial	NOUN
fuelectenerg-2758	96	30	with	with	ADP
fuelectenerg-2758	96	31	different	different	ADJ
fuelectenerg-2758	96	32	loss	loss	NOUN
fuelectenerg-2758	96	33	factors	factor	NOUN
fuelectenerg-2758	96	34	in	in	ADP
fuelectenerg-2758	96	35	negative	negative	ADJ
fuelectenerg-2758	96	36	and	and	CCONJ
fuelectenerg-2758	96	37	positive	positive	ADJ
fuelectenerg-2758	96	38	refractive	refractive	ADJ
fuelectenerg-2758	96	39	index	index	NOUN
fuelectenerg-2758	96	40	segments	segment	NOUN
fuelectenerg-2758	96	41	,	,	PUNCT
fuelectenerg-2758	96	42	"	"	PUNCT
fuelectenerg-2758	96	43	journal	journal	NOUN
fuelectenerg-2758	96	44	of	of	ADP
fuelectenerg-2758	96	45	nanophotonics	nanophotonic	NOUN
fuelectenerg-2758	96	46	,	,	PUNCT
fuelectenerg-2758	96	47	vol	vol	NOUN
fuelectenerg-2758	96	48	.	.	PROPN
fuelectenerg-2758	96	49	7	7	NUM
fuelectenerg-2758	96	50	,	,	PUNCT
fuelectenerg-2758	96	51	no	no	INTJ
fuelectenerg-2758	96	52	.	.	NOUN
fuelectenerg-2758	96	53	1	1	NUM
fuelectenerg-2758	96	54	,	,	PUNCT
fuelectenerg-2758	96	55	073086	073086	NUM
fuelectenerg-2758	96	56	-	-	SYM
fuelectenerg-2758	96	57	1	1	NUM
fuelectenerg-2758	96	58	–	–	PUNCT
fuelectenerg-2758	96	59	13	13	NUM
fuelectenerg-2758	96	60	,	,	PUNCT
fuelectenerg-2758	96	61	2013	2013	NUM
fuelectenerg-2758	96	62	.	.	PUNCT
fuelectenerg-2758	97	1	[	[	X
fuelectenerg-2758	97	2	9	9	NUM
fuelectenerg-2758	97	3	]	]	PUNCT
fuelectenerg-2758	97	4	m.	m.	NOUN
fuelectenerg-2758	97	5	dalarsson	dalarsson	PROPN
fuelectenerg-2758	97	6	,	,	PUNCT
fuelectenerg-2758	97	7	m.	m.	NOUN
fuelectenerg-2758	97	8	norgren	norgren	PROPN
fuelectenerg-2758	97	9	,	,	PUNCT
fuelectenerg-2758	97	10	t.	t.	PROPN
fuelectenerg-2758	97	11	asenov	asenov	PROPN
fuelectenerg-2758	97	12	,	,	PUNCT
fuelectenerg-2758	97	13	and	and	CCONJ
fuelectenerg-2758	97	14	n.	n.	NOUN
fuelectenerg-2758	97	15	doncov	doncov	NOUN
fuelectenerg-2758	97	16	,	,	PUNCT
fuelectenerg-2758	97	17	"	"	PUNCT
fuelectenerg-2758	97	18	arbitrary	arbitrary	ADJ
fuelectenerg-2758	97	19	loss	loss	NOUN
fuelectenerg-2758	97	20	factors	factor	NOUN
fuelectenerg-2758	97	21	in	in	ADP
fuelectenerg-2758	97	22	the	the	DET
fuelectenerg-2758	97	23	wave	wave	NOUN
fuelectenerg-2758	97	24	propagation	propagation	NOUN
fuelectenerg-2758	97	25	between	between	ADP
fuelectenerg-2758	97	26	rhm	rhm	PROPN
fuelectenerg-2758	97	27	and	and	CCONJ
fuelectenerg-2758	97	28	lhm	lhm	ADJ
fuelectenerg-2758	97	29	media	medium	NOUN
fuelectenerg-2758	97	30	with	with	ADP
fuelectenerg-2758	97	31	constant	constant	ADJ
fuelectenerg-2758	97	32	impedance	impedance	NOUN
fuelectenerg-2758	97	33	throughout	throughout	ADP
fuelectenerg-2758	97	34	the	the	DET
fuelectenerg-2758	97	35	structure	structure	NOUN
fuelectenerg-2758	97	36	"	"	PUNCT
fuelectenerg-2758	97	37	,	,	PUNCT
fuelectenerg-2758	97	38	pier	pier	NOUN
fuelectenerg-2758	97	39	,	,	PUNCT
fuelectenerg-2758	97	40	vol	vol	NOUN
fuelectenerg-2758	97	41	.	.	PROPN
fuelectenerg-2758	97	42	137	137	NUM
fuelectenerg-2758	97	43	,	,	PUNCT
fuelectenerg-2758	97	44	pp	pp	ADJ
fuelectenerg-2758	97	45	.	.	PUNCT
fuelectenerg-2758	97	46	527	527	NUM
fuelectenerg-2758	97	47	–	–	PUNCT
fuelectenerg-2758	97	48	538	538	NUM
fuelectenerg-2758	97	49	,	,	PUNCT
fuelectenerg-2758	97	50	2013	2013	NUM
fuelectenerg-2758	97	51	.	.	PUNCT
fuelectenerg-2758	98	1	[	[	X
fuelectenerg-2758	98	2	10	10	NUM
fuelectenerg-2758	98	3	]	]	PUNCT
fuelectenerg-2758	98	4	m.	m.	NOUN
fuelectenerg-2758	98	5	dalarsson	dalarsson	PROPN
fuelectenerg-2758	98	6	,	,	PUNCT
fuelectenerg-2758	98	7	m.	m.	NOUN
fuelectenerg-2758	98	8	norgren	norgren	PROPN
fuelectenerg-2758	98	9	,	,	PUNCT
fuelectenerg-2758	98	10	and	and	CCONJ
fuelectenerg-2758	98	11	z.	z.	PROPN
fuelectenerg-2758	98	12	jaksic	jaksic	PROPN
fuelectenerg-2758	98	13	,	,	PUNCT
fuelectenerg-2758	98	14	"	"	PUNCT
fuelectenerg-2758	98	15	exact	exact	ADJ
fuelectenerg-2758	98	16	analytical	analytical	ADJ
fuelectenerg-2758	98	17	solution	solution	NOUN
fuelectenerg-2758	98	18	for	for	ADP
fuelectenerg-2758	98	19	fields	field	NOUN
fuelectenerg-2758	98	20	in	in	ADP
fuelectenerg-2758	98	21	a	a	DET
fuelectenerg-2758	98	22	lossy	lossy	ADJ
fuelectenerg-2758	98	23	cylindrical	cylindrical	ADJ
fuelectenerg-2758	98	24	structure	structure	NOUN
fuelectenerg-2758	98	25	with	with	ADP
fuelectenerg-2758	98	26	linear	linear	PROPN
fuelectenerg-2758	98	27	gradient	gradient	NOUN
fuelectenerg-2758	98	28	index	index	NOUN
fuelectenerg-2758	98	29	metamaterials	metamaterial	NOUN
fuelectenerg-2758	98	30	"	"	PUNCT
fuelectenerg-2758	98	31	,	,	PUNCT
fuelectenerg-2758	98	32	pier	pier	NOUN
fuelectenerg-2758	98	33	,	,	PUNCT
fuelectenerg-2758	98	34	vol	vol	NOUN
fuelectenerg-2758	98	35	.	.	PROPN
fuelectenerg-2758	98	36	151	151	NUM
fuelectenerg-2758	98	37	,	,	PUNCT
fuelectenerg-2758	98	38	pp	pp	ADJ
fuelectenerg-2758	98	39	.	.	PUNCT
fuelectenerg-2758	99	1	109–117	109–117	NUM
fuelectenerg-2758	99	2	,	,	PUNCT
fuelectenerg-2758	99	3	2015	2015	NUM
fuelectenerg-2758	99	4	.	.	PUNCT
fuelectenerg-2758	100	1	[	[	X
fuelectenerg-2758	100	2	11	11	NUM
fuelectenerg-2758	100	3	]	]	PUNCT
fuelectenerg-2758	100	4	m.	m.	NOUN
fuelectenerg-2758	100	5	dalarsson	dalarsson	PROPN
fuelectenerg-2758	100	6	,	,	PUNCT
fuelectenerg-2758	100	7	and	and	CCONJ
fuelectenerg-2758	100	8	z.	z.	PROPN
fuelectenerg-2758	100	9	jaksic	jaksic	PROPN
fuelectenerg-2758	100	10	,	,	PUNCT
fuelectenerg-2758	100	11	"	"	PUNCT
fuelectenerg-2758	100	12	exact	exact	ADJ
fuelectenerg-2758	100	13	analytical	analytical	ADJ
fuelectenerg-2758	100	14	solution	solution	NOUN
fuelectenerg-2758	100	15	for	for	ADP
fuelectenerg-2758	100	16	fields	field	NOUN
fuelectenerg-2758	100	17	in	in	ADP
fuelectenerg-2758	100	18	a	a	DET
fuelectenerg-2758	100	19	lossy	lossy	ADJ
fuelectenerg-2758	100	20	cylindrical	cylindrical	ADJ
fuelectenerg-2758	100	21	structure	structure	NOUN
fuelectenerg-2758	100	22	with	with	ADP
fuelectenerg-2758	100	23	hyperbolic	hyperbolic	ADJ
fuelectenerg-2758	100	24	tangent	tangent	NOUN
fuelectenerg-2758	100	25	gradient	gradient	NOUN
fuelectenerg-2758	100	26	index	index	NOUN
fuelectenerg-2758	100	27	metamaterials	metamaterial	NOUN
fuelectenerg-2758	100	28	"	"	PUNCT
fuelectenerg-2758	100	29	,	,	PUNCT
fuelectenerg-2758	100	30	optical	optical	ADJ
fuelectenerg-2758	100	31	and	and	CCONJ
fuelectenerg-2758	100	32	quantum	quantum	NOUN
fuelectenerg-2758	100	33	electronics	electronic	NOUN
fuelectenerg-2758	100	34	,	,	PUNCT
fuelectenerg-2758	100	35	vol	vol	NOUN
fuelectenerg-2758	100	36	.	.	PROPN
fuelectenerg-2758	100	37	48	48	NUM
fuelectenerg-2758	100	38	,	,	PUNCT
fuelectenerg-2758	100	39	no	no	INTJ
fuelectenerg-2758	100	40	.	.	NOUN
fuelectenerg-2758	100	41	3	3	NUM
fuelectenerg-2758	100	42	,	,	PUNCT
fuelectenerg-2758	100	43	pp	pp	ADJ
fuelectenerg-2758	100	44	.	.	PUNCT
fuelectenerg-2758	101	1	1–6	1–6	NUM
fuelectenerg-2758	101	2	,	,	PUNCT
fuelectenerg-2758	101	3	2016	2016	NUM
fuelectenerg-2758	101	4	.	.	PUNCT
fuelectenerg-2758	102	1	[	[	X
fuelectenerg-2758	102	2	12	12	NUM
fuelectenerg-2758	102	3	]	]	PUNCT
fuelectenerg-2758	102	4	r.	r.	PROPN
fuelectenerg-2758	102	5	k.	k.	PROPN
fuelectenerg-2758	102	6	luneburg	luneburg	PROPN
fuelectenerg-2758	102	7	,	,	PUNCT
fuelectenerg-2758	102	8	"	"	PUNCT
fuelectenerg-2758	102	9	mathematical	mathematical	ADJ
fuelectenerg-2758	102	10	theory	theory	NOUN
fuelectenerg-2758	102	11	of	of	ADP
fuelectenerg-2758	102	12	optics	optic	NOUN
fuelectenerg-2758	102	13	"	"	PUNCT
fuelectenerg-2758	102	14	,	,	PUNCT
fuelectenerg-2758	102	15	university	university	PROPN
fuelectenerg-2758	102	16	of	of	ADP
fuelectenerg-2758	102	17	california	california	PROPN
fuelectenerg-2758	102	18	press	press	PROPN
fuelectenerg-2758	102	19	,	,	PUNCT
fuelectenerg-2758	102	20	berkeley	berkeley	PROPN
fuelectenerg-2758	102	21	,	,	PUNCT
fuelectenerg-2758	102	22	1964	1964	NUM
fuelectenerg-2758	102	23	.	.	PUNCT