id	sid	tid	token	lemma	pos
can-1953	1	1	characterization	characterization	NOUN
can-1953	1	2	and	and	CCONJ
can-1953	1	3	application	application	NOUN
can-1953	1	4	of	of	ADP
can-1953	1	5	nanomaterials	nanomaterial	NOUN
can-1953	1	6	(	(	PUNCT
can-1953	1	7	2023	2023	NUM
can-1953	1	8	)	)	PUNCT
can-1953	1	9	volume	volume	NOUN
can-1953	1	10	6	6	NUM
can-1953	1	11	issue	issue	NOUN
can-1953	1	12	1	1	NUM
can-1953	1	13	doi:10.24294	doi:10.24294	NOUN
can-1953	1	14	/	/	SYM
can-1953	1	15	can.v6i1.1953	can.v6i1.1953	PROPN
can-1953	1	16	1	1	NUM
can-1953	1	17	original	original	ADJ
can-1953	1	18	research	research	NOUN
can-1953	1	19	article	article	NOUN
can-1953	1	20	is	be	AUX
can-1953	1	21	creating	create	VERB
can-1953	1	22	materials	material	NOUN
can-1953	1	23	with	with	ADP
can-1953	1	24	a	a	DET
can-1953	1	25	desired	desire	VERB
can-1953	1	26	refraction	refraction	NOUN
can-1953	1	27	coefficient	coefficient	NOUN
can-1953	1	28	practically	practically	ADV
can-1953	1	29	possible	possible	ADJ
can-1953	1	30	?	?	PUNCT
can-1953	2	1	alexander	alexander	PROPN
can-1953	2	2	g.	g.	PROPN
can-1953	2	3	ramm	ramm	PROPN
can-1953	2	4	department	department	PROPN
can-1953	2	5	of	of	ADP
can-1953	2	6	mathematics	mathematics	PROPN
can-1953	2	7	,	,	PUNCT
can-1953	2	8	kansas	kansas	PROPN
can-1953	2	9	state	state	PROPN
can-1953	2	10	university	university	PROPN
can-1953	2	11	,	,	PUNCT
can-1953	2	12	manhattan	manhattan	PROPN
can-1953	2	13	,	,	PUNCT
can-1953	2	14	ks	ks	PROPN
can-1953	2	15	66506	66506	NUM
can-1953	2	16	-	-	SYM
can-1953	2	17	2602	2602	NUM
can-1953	2	18	,	,	PUNCT
can-1953	2	19	usa	usa	PROPN
can-1953	2	20	.	.	PROPN
can-1953	3	1	e	e	X
can-1953	3	2	-	-	NOUN
can-1953	3	3	mail	mail	NOUN
can-1953	3	4	:	:	PUNCT
can-1953	3	5	ramm@ksu.edu	ramm@ksu.edu	NOUN
can-1953	3	6	abstract	abstract	ADJ
can-1953	3	7	a	a	DET
can-1953	3	8	theory	theory	NOUN
can-1953	3	9	of	of	ADP
can-1953	3	10	many	many	ADJ
can-1953	3	11	-	-	PUNCT
can-1953	3	12	body	body	NOUN
can-1953	3	13	wave	wave	NOUN
can-1953	3	14	scattering	scattering	NOUN
can-1953	3	15	is	be	AUX
can-1953	3	16	developed	develop	VERB
can-1953	3	17	under	under	ADP
can-1953	3	18	the	the	DET
can-1953	3	19	assumption	assumption	NOUN
can-1953	3	20	a	a	DET
can-1953	3	21	<	<	X
can-1953	3	22	<	<	X
can-1953	3	23	d	d	X
can-1953	3	24	<	<	X
can-1953	3	25	<	<	X
can-1953	3	26	λ	λ	PROPN
can-1953	3	27	,	,	PUNCT
can-1953	3	28	where	where	SCONJ
can-1953	3	29	a	a	PRON
can-1953	3	30	is	be	AUX
can-1953	3	31	the	the	DET
can-1953	3	32	characteristic	characteristic	ADJ
can-1953	3	33	size	size	NOUN
can-1953	3	34	of	of	ADP
can-1953	3	35	the	the	DET
can-1953	3	36	small	small	ADJ
can-1953	3	37	body	body	NOUN
can-1953	3	38	,	,	PUNCT
can-1953	3	39	d	d	X
can-1953	3	40	is	be	AUX
can-1953	3	41	the	the	DET
can-1953	3	42	distance	distance	NOUN
can-1953	3	43	between	between	ADP
can-1953	3	44	neighboring	neighboring	NOUN
can-1953	3	45	bodies	body	NOUN
can-1953	3	46	and	and	CCONJ
can-1953	3	47	λ	λ	NOUN
can-1953	3	48	is	be	AUX
can-1953	3	49	the	the	DET
can-1953	3	50	wave	wave	NOUN
can-1953	3	51	-	-	PUNCT
can-1953	3	52	length	length	NOUN
can-1953	3	53	in	in	ADP
can-1953	3	54	the	the	DET
can-1953	3	55	medium	medium	NOUN
can-1953	3	56	in	in	ADP
can-1953	3	57	which	which	PRON
can-1953	3	58	the	the	DET
can-1953	3	59	bodies	body	NOUN
can-1953	3	60	are	be	AUX
can-1953	3	61	embedded	embed	VERB
can-1953	3	62	.	.	PUNCT
can-1953	4	1	the	the	DET
can-1953	4	2	multiple	multiple	ADJ
can-1953	4	3	scattering	scattering	NOUN
can-1953	4	4	is	be	AUX
can-1953	4	5	essential	essential	ADJ
can-1953	4	6	under	under	ADP
can-1953	4	7	these	these	DET
can-1953	4	8	assumptions	assumption	NOUN
can-1953	4	9	.	.	PUNCT
can-1953	5	1	the	the	DET
can-1953	5	2	author	author	NOUN
can-1953	5	3	’s	’s	PART
can-1953	5	4	theory	theory	NOUN
can-1953	5	5	is	be	AUX
can-1953	5	6	used	use	VERB
can-1953	5	7	for	for	ADP
can-1953	5	8	creating	create	VERB
can-1953	5	9	materials	material	NOUN
can-1953	5	10	with	with	ADP
can-1953	5	11	a	a	DET
can-1953	5	12	desired	desire	VERB
can-1953	5	13	refraction	refraction	NOUN
can-1953	5	14	coefficient	coefficient	NOUN
can-1953	5	15	.	.	PUNCT
can-1953	6	1	this	this	DET
can-1953	6	2	theory	theory	NOUN
can-1953	6	3	can	can	AUX
can-1953	6	4	be	be	AUX
can-1953	6	5	used	use	VERB
can-1953	6	6	in	in	ADP
can-1953	6	7	practice	practice	NOUN
can-1953	6	8	.	.	PUNCT
can-1953	7	1	a	a	DET
can-1953	7	2	recipe	recipe	NOUN
can-1953	7	3	for	for	ADP
can-1953	7	4	creating	create	VERB
can-1953	7	5	materials	material	NOUN
can-1953	7	6	with	with	ADP
can-1953	7	7	a	a	DET
can-1953	7	8	desired	desire	VERB
can-1953	7	9	refraction	refraction	NOUN
can-1953	7	10	coefficient	coefficient	NOUN
can-1953	7	11	is	be	AUX
can-1953	7	12	formulated	formulate	VERB
can-1953	7	13	.	.	PUNCT
can-1953	8	1	materials	material	NOUN
can-1953	8	2	with	with	ADP
can-1953	8	3	a	a	DET
can-1953	8	4	desired	desire	VERB
can-1953	8	5	radiation	radiation	NOUN
can-1953	8	6	pattern	pattern	NOUN
can-1953	8	7	,	,	PUNCT
can-1953	8	8	for	for	ADP
can-1953	8	9	example	example	NOUN
can-1953	8	10	,	,	PUNCT
can-1953	8	11	wave	wave	NOUN
can-1953	8	12	-	-	PUNCT
can-1953	8	13	focusing	focus	VERB
can-1953	8	14	materials	material	NOUN
can-1953	8	15	,	,	PUNCT
can-1953	8	16	can	can	AUX
can-1953	8	17	be	be	AUX
can-1953	8	18	created	create	VERB
can-1953	8	19	.	.	PUNCT
can-1953	9	1	pacs	pac	NOUN
can-1953	9	2	:	:	PUNCT
can-1953	9	3	02.30.rz	02.30.rz	NOUN
can-1953	9	4	;	;	PUNCT
can-1953	9	5	02.30.mv	02.30.mv	NUM
can-1953	9	6	;	;	PUNCT
can-1953	9	7	41.20.jb	41.20.jb	NUM
can-1953	9	8	msc	msc	NOUN
can-1953	9	9	:	:	PUNCT
can-1953	9	10	35q60	35q60	NUM
can-1953	9	11	;	;	PUNCT
can-1953	9	12	78a40	78a40	NUM
can-1953	9	13	;	;	PUNCT
can-1953	9	14	78a45	78a45	NUM
can-1953	9	15	;	;	PUNCT
can-1953	9	16	78a48	78a48	NUM
can-1953	9	17	keywords	keyword	NOUN
can-1953	9	18	:	:	PUNCT
can-1953	9	19	wave	wave	NOUN
can-1953	9	20	scattering	scatter	VERB
can-1953	9	21	by	by	ADP
can-1953	9	22	many	many	ADJ
can-1953	9	23	small	small	ADJ
can-1953	9	24	bodies	body	NOUN
can-1953	9	25	;	;	PUNCT
can-1953	9	26	smart	smart	ADJ
can-1953	9	27	materials	material	NOUN
can-1953	9	28	article	article	NOUN
can-1953	9	29	info	info	NOUN
can-1953	9	30	received	receive	VERB
can-1953	9	31	:	:	PUNCT
can-1953	9	32	8	8	NUM
can-1953	9	33	february	february	NOUN
can-1953	9	34	2023	2023	NUM
can-1953	9	35	accepted	accept	VERB
can-1953	9	36	:	:	PUNCT
can-1953	9	37	2	2	NUM
can-1953	9	38	march	march	PROPN
can-1953	9	39	2023	2023	NUM
can-1953	9	40	available	available	ADJ
can-1953	9	41	online	online	NOUN
can-1953	9	42	:	:	PUNCT
can-1953	9	43	16	16	NUM
can-1953	9	44	march	march	NOUN
can-1953	9	45	2023	2023	NUM
can-1953	9	46	copyright	copyright	NOUN
can-1953	9	47	copyright	copyright	NOUN
can-1953	9	48	©	©	PROPN
can-1953	9	49	2023	2023	NUM
can-1953	9	50	by	by	ADP
can-1953	9	51	author(s	author(s	PROPN
can-1953	9	52	)	)	PUNCT
can-1953	9	53	.	.	PUNCT
can-1953	10	1	characterization	characterization	NOUN
can-1953	10	2	and	and	CCONJ
can-1953	10	3	application	application	NOUN
can-1953	10	4	of	of	ADP
can-1953	10	5	nanomaterials	nanomaterial	NOUN
can-1953	10	6	is	be	AUX
can-1953	10	7	published	publish	VERB
can-1953	10	8	by	by	ADP
can-1953	10	9	enpress	enpress	PROPN
can-1953	10	10	publisher	publisher	PROPN
can-1953	10	11	llc	llc	PROPN
can-1953	10	12	.	.	PUNCT
can-1953	11	1	this	this	DET
can-1953	11	2	work	work	NOUN
can-1953	11	3	is	be	AUX
can-1953	11	4	licensed	license	VERB
can-1953	11	5	under	under	ADP
can-1953	11	6	the	the	DET
can-1953	11	7	creative	creative	ADJ
can-1953	11	8	commons	common	NOUN
can-1953	11	9	attribution	attribution	NOUN
can-1953	11	10	-	-	PUNCT
can-1953	11	11	noncommercial	noncommercial	ADJ
can-1953	11	12	4.0	4.0	NUM
can-1953	11	13	international	international	ADJ
can-1953	11	14	license	license	NOUN
can-1953	11	15	(	(	PUNCT
can-1953	11	16	cc	cc	NOUN
can-1953	11	17	by	by	ADP
can-1953	11	18	-	-	PUNCT
can-1953	11	19	nc	nc	PROPN
can-1953	11	20	4.0	4.0	NUM
can-1953	11	21	)	)	PUNCT
can-1953	11	22	.	.	PUNCT
can-1953	12	1	https://creativecommons.org/licenses/bync/4.0/	https://creativecommons.org/licenses/bync/4.0/	PROPN
can-1953	12	2	1	1	X
can-1953	12	3	.	.	X
can-1953	12	4	introduction	introduction	NOUN
can-1953	12	5	the	the	DET
can-1953	12	6	aim	aim	NOUN
can-1953	12	7	of	of	ADP
can-1953	12	8	this	this	DET
can-1953	12	9	paper	paper	NOUN
can-1953	12	10	is	be	AUX
can-1953	12	11	to	to	PART
can-1953	12	12	give	give	VERB
can-1953	12	13	an	an	DET
can-1953	12	14	affirmative	affirmative	ADJ
can-1953	12	15	answer	answer	NOUN
can-1953	12	16	to	to	ADP
can-1953	12	17	the	the	DET
can-1953	12	18	question	question	NOUN
can-1953	12	19	in	in	ADP
can-1953	12	20	the	the	DET
can-1953	12	21	title	title	NOUN
can-1953	12	22	of	of	ADP
can-1953	12	23	this	this	DET
can-1953	12	24	paper	paper	NOUN
can-1953	12	25	.	.	PUNCT
can-1953	13	1	this	this	PRON
can-1953	13	2	brings	bring	VERB
can-1953	13	3	potentially	potentially	ADV
can-1953	13	4	many	many	ADJ
can-1953	13	5	possibilities	possibility	NOUN
can-1953	13	6	for	for	ADP
can-1953	13	7	progress	progress	NOUN
can-1953	13	8	in	in	ADP
can-1953	13	9	technology	technology	NOUN
can-1953	13	10	.	.	PUNCT
can-1953	14	1	there	there	PRON
can-1953	14	2	is	be	VERB
can-1953	14	3	a	a	DET
can-1953	14	4	large	large	ADJ
can-1953	14	5	literature	literature	NOUN
can-1953	14	6	on	on	ADP
can-1953	14	7	wave	wave	NOUN
can-1953	14	8	scattering	scatter	VERB
can-1953	14	9	by	by	ADP
can-1953	14	10	small	small	ADJ
can-1953	14	11	bodies	body	NOUN
can-1953	14	12	,	,	PUNCT
can-1953	14	13	starting	start	VERB
can-1953	14	14	from	from	ADP
can-1953	14	15	rayleigh	rayleigh	PROPN
can-1953	14	16	’s	’s	PART
can-1953	14	17	work	work	NOUN
can-1953	14	18	(	(	PUNCT
can-1953	14	19	1871)[1–3	1871)[1–3	NOUN
can-1953	14	20	]	]	X
can-1953	14	21	.	.	PUNCT
can-1953	15	1	if	if	SCONJ
can-1953	15	2	the	the	DET
can-1953	15	3	scatterer	scatterer	NOUN
can-1953	15	4	is	be	AUX
can-1953	15	5	small	small	ADJ
can-1953	15	6	then	then	ADV
can-1953	15	7	the	the	DET
can-1953	15	8	scattered	scatter	VERB
can-1953	15	9	field	field	NOUN
can-1953	15	10	can	can	AUX
can-1953	15	11	be	be	AUX
can-1953	15	12	calculated	calculate	VERB
can-1953	15	13	analytically	analytically	ADV
can-1953	15	14	for	for	ADP
can-1953	15	15	bodies	body	NOUN
can-1953	15	16	of	of	ADP
can-1953	15	17	arbitrary	arbitrary	ADJ
can-1953	15	18	shapes	shape	NOUN
can-1953	15	19	,	,	PUNCT
can-1953	15	20	see	see	VERB
can-1953	15	21	reference	reference	NOUN
can-1953	15	22	[	[	X
can-1953	15	23	4	4	NUM
can-1953	15	24	]	]	PUNCT
can-1953	15	25	.	.	PUNCT
can-1953	16	1	the	the	DET
can-1953	16	2	many	many	ADJ
can-1953	16	3	-	-	PUNCT
can-1953	16	4	body	body	NOUN
can-1953	16	5	wave	wave	NOUN
can-1953	16	6	scattering	scattering	NOUN
can-1953	16	7	problem	problem	NOUN
can-1953	16	8	was	be	AUX
can-1953	16	9	discussed	discuss	VERB
can-1953	16	10	in	in	ADP
can-1953	16	11	the	the	DET
can-1953	16	12	literature	literature	NOUN
can-1953	16	13	mostly	mostly	ADV
can-1953	16	14	numerically	numerically	ADV
can-1953	16	15	,	,	PUNCT
can-1953	16	16	if	if	SCONJ
can-1953	16	17	the	the	DET
can-1953	16	18	number	number	NOUN
can-1953	16	19	of	of	ADP
can-1953	16	20	scatterers	scatterer	NOUN
can-1953	16	21	was	be	AUX
can-1953	16	22	small	small	ADJ
can-1953	16	23	,	,	PUNCT
can-1953	16	24	or	or	CCONJ
can-1953	16	25	under	under	ADP
can-1953	16	26	the	the	DET
can-1953	16	27	assumption	assumption	NOUN
can-1953	16	28	that	that	SCONJ
can-1953	16	29	the	the	DET
can-1953	16	30	influence	influence	NOUN
can-1953	16	31	of	of	ADP
can-1953	16	32	the	the	DET
can-1953	16	33	waves	wave	NOUN
can-1953	16	34	,	,	PUNCT
can-1953	16	35	scattered	scatter	VERB
can-1953	16	36	by	by	ADP
can-1953	16	37	other	other	ADJ
can-1953	16	38	particles	particle	NOUN
can-1953	16	39	on	on	ADP
can-1953	16	40	a	a	DET
can-1953	16	41	particular	particular	ADJ
can-1953	16	42	particle	particle	NOUN
can-1953	16	43	is	be	AUX
can-1953	16	44	negligible[5	negligible[5	PRON
can-1953	16	45	]	]	PUNCT
can-1953	16	46	.	.	PUNCT
can-1953	17	1	this	this	PRON
can-1953	17	2	corresponds	correspond	VERB
can-1953	17	3	to	to	ADP
can-1953	17	4	the	the	DET
can-1953	17	5	case	case	NOUN
can-1953	17	6	when	when	SCONJ
can-1953	17	7	the	the	DET
can-1953	17	8	distance	distance	NOUN
can-1953	17	9	d	d	NOUN
can-1953	17	10	between	between	ADP
can-1953	17	11	neighbouring	neighbouring	NOUN
can-1953	17	12	particles	particle	NOUN
can-1953	17	13	is	be	AUX
can-1953	17	14	much	much	ADV
can-1953	17	15	larger	large	ADJ
can-1953	17	16	than	than	ADP
can-1953	17	17	the	the	DET
can-1953	17	18	wavelength	wavelength	NOUN
can-1953	17	19	λ	λ	PROPN
can-1953	17	20	,	,	PUNCT
can-1953	17	21	and	and	CCONJ
can-1953	17	22	the	the	DET
can-1953	17	23	characteristic	characteristic	ADJ
can-1953	17	24	size	size	NOUN
can-1953	17	25	a	a	PRON
can-1953	17	26	of	of	ADP
can-1953	17	27	a	a	DET
can-1953	17	28	small	small	ADJ
can-1953	17	29	body	body	NOUN
can-1953	17	30	(	(	PUNCT
can-1953	17	31	particle	particle	NOUN
can-1953	17	32	)	)	PUNCT
can-1953	17	33	is	be	AUX
can-1953	17	34	much	much	ADV
can-1953	17	35	smaller	small	ADJ
can-1953	17	36	than	than	ADP
can-1953	17	37	λ	λ	PROPN
can-1953	17	38	.	.	PUNCT
can-1953	17	39	theoretically	theoretically	ADV
can-1953	17	40	and	and	CCONJ
can-1953	17	41	practically	practically	ADV
can-1953	17	42	the	the	DET
can-1953	17	43	assumptions	assumption	NOUN
can-1953	17	44	a	a	DET
can-1953	17	45	<	<	X
can-1953	17	46	<	<	X
can-1953	17	47	λ	λ	PROPN
can-1953	17	48	,	,	PUNCT
can-1953	17	49	d	d	X
can-1953	17	50	>	>	X
can-1953	17	51	>	>	X
can-1953	17	52	λ	λ	PROPN
can-1953	17	53	,	,	PUNCT
can-1953	17	54	(	(	PUNCT
can-1953	17	55	1	1	X
can-1953	17	56	)	)	PUNCT
can-1953	17	57	are	be	AUX
can-1953	17	58	the	the	DET
can-1953	17	59	simplest	simple	ADJ
can-1953	17	60	ones	one	NOUN
can-1953	17	61	which	which	PRON
can-1953	17	62	allow	allow	VERB
can-1953	17	63	one	one	NUM
can-1953	17	64	to	to	PART
can-1953	17	65	neglect	neglect	VERB
can-1953	17	66	multiple	multiple	ADJ
can-1953	17	67	scattering	scattering	NOUN
can-1953	17	68	.	.	PUNCT
can-1953	18	1	by	by	ADP
can-1953	18	2	k	k	PROPN
can-1953	18	3	=	=	PROPN
can-1953	18	4	2𝜋𝜋	2𝜋𝜋	PROPN
can-1953	19	1	𝜆𝜆	𝜆𝜆	ADV
can-1953	19	2	,	,	PUNCT
can-1953	19	3	the	the	DET
can-1953	19	4	wave	wave	NOUN
can-1953	19	5	number	number	NOUN
can-1953	19	6	is	be	AUX
can-1953	19	7	denoted	denote	VERB
can-1953	19	8	.	.	PUNCT
can-1953	20	1	in	in	ADP
can-1953	20	2	the	the	DET
can-1953	20	3	author	author	NOUN
can-1953	20	4	’s	’s	PART
can-1953	20	5	theory	theory	NOUN
can-1953	20	6	,	,	PUNCT
can-1953	20	7	the	the	DET
can-1953	20	8	basic	basic	ADJ
can-1953	20	9	assumptions	assumption	NOUN
can-1953	20	10	are	be	AUX
can-1953	20	11	a	a	DET
can-1953	20	12	<	<	X
can-1953	20	13	<	<	X
can-1953	20	14	d	d	X
can-1953	20	15	<	<	X
can-1953	20	16	<	<	X
can-1953	20	17	λ	λ	PROPN
can-1953	20	18	,	,	PUNCT
can-1953	20	19	(	(	PUNCT
can-1953	20	20	2	2	NUM
can-1953	20	21	)	)	PUNCT
can-1953	20	22	and	and	CCONJ
can-1953	20	23	the	the	DET
can-1953	20	24	multiple	multiple	ADJ
can-1953	20	25	scattering	scattering	NOUN
can-1953	20	26	is	be	AUX
can-1953	20	27	of	of	ADP
can-1953	20	28	basic	basic	ADJ
can-1953	20	29	importance	importance	NOUN
can-1953	20	30	under	under	ADP
can-1953	20	31	these	these	DET
can-1953	20	32	assumptions[4,6–35	assumptions[4,6–35	NOUN
can-1953	20	33	]	]	PUNCT
can-1953	20	34	.	.	PUNCT
can-1953	21	1	it	it	PRON
can-1953	21	2	is	be	AUX
can-1953	21	3	clear	clear	ADJ
can-1953	21	4	that	that	SCONJ
can-1953	21	5	assumption	assumption	NOUN
can-1953	21	6	(	(	PUNCT
can-1953	21	7	2	2	X
can-1953	21	8	)	)	PUNCT
can-1953	21	9	can	can	AUX
can-1953	21	10	be	be	AUX
can-1953	21	11	practically	practically	ADV
can-1953	21	12	realized	realize	VERB
can-1953	21	13	.	.	PUNCT
can-1953	22	1	its	its	PRON
can-1953	22	2	https://creativecommons.org/licenses/by-nc/4.0/	https://creativecommons.org/licenses/by-nc/4.0/	PRON
can-1953	22	3	https://creativecommons.org/licenses/by-nc/4.0/	https://creativecommons.org/licenses/by-nc/4.0/	PRON
can-1953	22	4	2	2	NUM
can-1953	22	5	importance	importance	NOUN
can-1953	22	6	comes	come	VERB
can-1953	22	7	from	from	ADP
can-1953	22	8	the	the	DET
can-1953	22	9	fact	fact	NOUN
can-1953	22	10	that	that	SCONJ
can-1953	22	11	the	the	DET
can-1953	22	12	author	author	NOUN
can-1953	22	13	gave	give	VERB
can-1953	22	14	a	a	DET
can-1953	22	15	rigorous	rigorous	ADJ
can-1953	22	16	asymptotically	asymptotically	ADV
can-1953	22	17	exact	exact	ADJ
can-1953	22	18	solution	solution	NOUN
can-1953	22	19	of	of	ADP
can-1953	22	20	the	the	DET
can-1953	22	21	manybody	manybody	NOUN
can-1953	22	22	scattering	scatter	VERB
can-1953	22	23	problem	problem	NOUN
can-1953	22	24	under	under	ADP
can-1953	22	25	assumption	assumption	NOUN
can-1953	22	26	(	(	PUNCT
can-1953	22	27	2	2	NUM
can-1953	22	28	)	)	PUNCT
can-1953	22	29	when	when	SCONJ
can-1953	22	30	a	a	DET
can-1953	22	31	→	→	SYM
can-1953	22	32	0	0	NUM
can-1953	22	33	.	.	PUNCT
can-1953	23	1	this	this	DET
can-1953	23	2	solution	solution	NOUN
can-1953	23	3	can	can	AUX
can-1953	23	4	be	be	AUX
can-1953	23	5	well	well	ADV
can-1953	23	6	approximated	approximate	VERB
can-1953	23	7	numerically	numerically	ADV
can-1953	23	8	by	by	ADP
can-1953	23	9	the	the	DET
can-1953	23	10	particles	particle	NOUN
can-1953	23	11	of	of	ADP
can-1953	23	12	the	the	DET
can-1953	23	13	size	size	NOUN
can-1953	23	14	a	a	DET
can-1953	23	15	>	>	X
can-1953	23	16	30	30	NUM
can-1953	23	17	nm	nm	NOUN
can-1953	23	18	.	.	PUNCT
can-1953	24	1	practically	practically	ADV
can-1953	24	2	the	the	DET
can-1953	24	3	size	size	NOUN
can-1953	24	4	of	of	ADP
can-1953	24	5	a	a	PRON
can-1953	24	6	can	can	AUX
can-1953	24	7	be	be	AUX
can-1953	24	8	found	find	VERB
can-1953	24	9	by	by	ADP
can-1953	24	10	comparison	comparison	NOUN
can-1953	24	11	of	of	ADP
can-1953	24	12	the	the	DET
can-1953	24	13	solution	solution	NOUN
can-1953	24	14	for	for	ADP
can-1953	24	15	some	some	DET
can-1953	24	16	a	a	PRON
can-1953	24	17	and	and	CCONJ
can-1953	24	18	for	for	ADP
can-1953	24	19	𝑎𝑎	𝑎𝑎	NOUN
can-1953	24	20	2	2	NUM
can-1953	24	21	.	.	PUNCT
can-1953	25	1	if	if	SCONJ
can-1953	25	2	these	these	DET
can-1953	25	3	solutions	solution	NOUN
can-1953	25	4	are	be	AUX
can-1953	25	5	practically	practically	ADV
can-1953	25	6	close	close	ADJ
can-1953	25	7	,	,	PUNCT
can-1953	25	8	then	then	ADV
can-1953	25	9	one	one	NUM
can-1953	25	10	considers	consider	VERB
can-1953	25	11	this	this	PRON
can-1953	25	12	a	a	DET
can-1953	25	13	as	as	ADV
can-1953	25	14	suitable	suitable	ADJ
can-1953	25	15	.	.	PUNCT
can-1953	26	1	the	the	DET
can-1953	26	2	aim	aim	NOUN
can-1953	26	3	of	of	ADP
can-1953	26	4	this	this	DET
can-1953	26	5	paper	paper	NOUN
can-1953	26	6	is	be	AUX
can-1953	26	7	to	to	PART
can-1953	26	8	show	show	VERB
can-1953	26	9	that	that	SCONJ
can-1953	26	10	our	our	PRON
can-1953	26	11	theory	theory	NOUN
can-1953	26	12	can	can	AUX
can-1953	26	13	be	be	AUX
can-1953	26	14	used	use	VERB
can-1953	26	15	practically	practically	ADV
can-1953	26	16	.	.	PUNCT
can-1953	27	1	in	in	ADP
can-1953	27	2	reference	reference	NOUN
can-1953	27	3	[	[	X
can-1953	27	4	36	36	NUM
can-1953	27	5	]	]	PUNCT
can-1953	27	6	,	,	PUNCT
can-1953	27	7	for	for	ADP
can-1953	27	8	the	the	DET
can-1953	27	9	first	first	ADJ
can-1953	27	10	time	time	NOUN
can-1953	27	11	the	the	DET
can-1953	27	12	author	author	NOUN
can-1953	27	13	’s	’s	PART
can-1953	27	14	theory	theory	NOUN
can-1953	27	15	was	be	AUX
can-1953	27	16	used	use	VERB
can-1953	27	17	for	for	ADP
can-1953	27	18	solving	solve	VERB
can-1953	27	19	the	the	DET
can-1953	27	20	scattering	scattering	NOUN
can-1953	27	21	problem	problem	NOUN
can-1953	27	22	for	for	ADP
can-1953	27	23	10	10	NUM
can-1953	27	24	billion	billion	NUM
can-1953	27	25	small	small	ADJ
can-1953	27	26	particles	particle	NOUN
can-1953	27	27	.	.	PUNCT
can-1953	28	1	this	this	DET
can-1953	28	2	problem	problem	NOUN
can-1953	28	3	was	be	AUX
can-1953	28	4	solved	solve	VERB
can-1953	28	5	numerically	numerically	ADV
can-1953	28	6	and	and	CCONJ
can-1953	28	7	numerical	numerical	ADJ
can-1953	28	8	results	result	NOUN
can-1953	28	9	were	be	AUX
can-1953	28	10	presented	present	VERB
can-1953	28	11	.	.	PUNCT
can-1953	29	1	let	let	VERB
can-1953	29	2	us	we	PRON
can-1953	29	3	formulate	formulate	VERB
can-1953	29	4	the	the	DET
can-1953	29	5	wave	wave	NOUN
can-1953	29	6	scattering	scatter	VERB
can-1953	29	7	problems	problem	NOUN
can-1953	29	8	we	we	PRON
can-1953	29	9	deal	deal	VERB
can-1953	29	10	with	with	ADP
can-1953	29	11	.	.	PUNCT
can-1953	30	1	let	let	VERB
can-1953	30	2	d	d	PRON
can-1953	30	3	be	be	AUX
can-1953	30	4	a	a	DET
can-1953	30	5	bounded	bounded	ADJ
can-1953	30	6	domain	domain	NOUN
can-1953	30	7	in	in	ADP
can-1953	30	8	ℝ3	ℝ3	PROPN
can-1953	30	9	with	with	ADP
can-1953	30	10	a	a	DET
can-1953	30	11	sufficiently	sufficiently	ADV
can-1953	30	12	smooth	smooth	ADJ
can-1953	30	13	boundary	boundary	NOUN
can-1953	30	14	.	.	PUNCT
can-1953	31	1	the	the	DET
can-1953	31	2	scattering	scatter	VERB
can-1953	31	3	problem	problem	NOUN
can-1953	31	4	consists	consist	VERB
can-1953	31	5	of	of	ADP
can-1953	31	6	finding	find	VERB
can-1953	31	7	the	the	DET
can-1953	31	8	solution	solution	NOUN
can-1953	31	9	to	to	ADP
can-1953	31	10	the	the	DET
can-1953	31	11	problem	problem	NOUN
can-1953	31	12	:	:	PUNCT
can-1953	31	13	(	(	PUNCT
can-1953	31	14	∇2	∇2	PROPN
can-1953	31	15	+	+	PROPN
can-1953	31	16	𝑘𝑘2)𝑢𝑢	𝑘𝑘2)𝑢𝑢	PROPN
can-1953	31	17	=	=	NOUN
can-1953	31	18	0	0	NUM
can-1953	31	19	in	in	ADP
can-1953	31	20	g	g	NOUN
can-1953	31	21	’	'	PUNCT
can-1953	32	1	:	:	PUNCT
can-1953	32	2	=	=	SYM
can-1953	32	3	ℝ3\𝐺𝐺	ℝ3\𝐺𝐺	PROPN
can-1953	32	4	,	,	PUNCT
can-1953	32	5	g	g	X
can-1953	32	6	:	:	PUNCT
can-1953	32	7	=	=	SYM
can-1953	32	8	𝑈𝑈𝑚𝑚=1	𝑈𝑈𝑚𝑚=1	PROPN
can-1953	32	9	𝑀𝑀	𝑀𝑀	PROPN
can-1953	32	10	𝐷𝐷𝑚𝑚	𝐷𝐷𝑚𝑚	PROPN
can-1953	32	11	,	,	PUNCT
can-1953	32	12	k	k	X
can-1953	32	13	=	=	PUNCT
can-1953	32	14	const	const	X
can-1953	32	15	>	>	X
can-1953	32	16	0	0	NUM
can-1953	32	17	,	,	PUNCT
can-1953	32	18	(	(	PUNCT
can-1953	32	19	3	3	X
can-1953	32	20	)	)	PUNCT
can-1953	32	21	where	where	SCONJ
can-1953	32	22	dm	dm	PROPN
can-1953	32	23	=	=	SYM
can-1953	32	24	b(xm	b(xm	PROPN
can-1953	32	25	,	,	PUNCT
can-1953	32	26	a	a	PRON
can-1953	32	27	)	)	PUNCT
can-1953	32	28	is	be	AUX
can-1953	32	29	an	an	DET
can-1953	32	30	impedance	impedance	NOUN
can-1953	32	31	ball	ball	NOUN
can-1953	32	32	,	,	PUNCT
can-1953	32	33	centered	center	VERB
can-1953	32	34	at	at	ADP
can-1953	32	35	xm	xm	PROPN
can-1953	32	36	and	and	CCONJ
can-1953	32	37	of	of	ADP
can-1953	32	38	small	small	ADJ
can-1953	32	39	radius	radius	NOUN
can-1953	32	40	a	a	PRON
can-1953	32	41	,	,	PUNCT
can-1953	32	42	u	u	NOUN
can-1953	32	43	=	=	X
can-1953	32	44	u0	u0	PROPN
can-1953	32	45	+	+	CCONJ
can-1953	32	46	v	v	ADJ
can-1953	32	47	,	,	PUNCT
can-1953	32	48	u0	u0	ADJ
can-1953	32	49	=	=	PROPN
can-1953	32	50	eikα·x	eikα·x	PROPN
can-1953	32	51	,	,	PUNCT
can-1953	32	52	α	α	PROPN
can-1953	32	53	∈	∈	PROPN
can-1953	32	54	s2	s2	PROPN
can-1953	32	55	,	,	PUNCT
can-1953	32	56	(	(	PUNCT
can-1953	32	57	4	4	X
can-1953	32	58	)	)	PUNCT
can-1953	32	59	s2	s2	NOUN
can-1953	32	60	is	be	AUX
can-1953	32	61	the	the	DET
can-1953	32	62	unit	unit	NOUN
can-1953	32	63	sphere	sphere	ADV
can-1953	32	64	in	in	ADP
can-1953	32	65	ℝ3	ℝ3	PROPN
can-1953	32	66	,	,	PUNCT
can-1953	32	67	u0	u0	PROPN
can-1953	32	68	is	be	AUX
can-1953	32	69	the	the	DET
can-1953	32	70	incident	incident	NOUN
can-1953	32	71	field	field	NOUN
can-1953	32	72	,	,	PUNCT
can-1953	32	73	v	v	NOUN
can-1953	32	74	is	be	AUX
can-1953	32	75	the	the	DET
can-1953	32	76	scattered	scatter	VERB
can-1953	32	77	field	field	NOUN
can-1953	32	78	satisfying	satisfy	VERB
can-1953	32	79	the	the	DET
can-1953	32	80	radiation	radiation	NOUN
can-1953	32	81	condition	condition	NOUN
can-1953	32	82	vr	vr	PROPN
can-1953	32	83	–	–	PUNCT
can-1953	32	84	ikv	ikv	ADJ
can-1953	32	85	=	=	PUNCT
can-1953	32	86	o(1	o(1	NOUN
can-1953	32	87	𝑟𝑟	𝑟𝑟	PROPN
can-1953	32	88	)	)	PUNCT
can-1953	32	89	,	,	PUNCT
can-1953	32	90	r	r	NOUN
can-1953	32	91	:	:	PUNCT
can-1953	32	92	=	=	X
can-1953	32	93	|𝑥𝑥|	|𝑥𝑥|	PROPN
can-1953	32	94	→	→	SYM
can-1953	32	95	∞	∞	PROPN
can-1953	32	96	,	,	PUNCT
can-1953	32	97	vr	vr	INTJ
can-1953	32	98	:	:	PUNCT
can-1953	32	99	=	=	SYM
can-1953	32	100	𝜕𝜕𝜕𝜕	𝜕𝜕𝜕𝜕	PROPN
can-1953	33	1	∂r	∂r	INTJ
can-1953	33	2	,	,	PUNCT
can-1953	33	3	(	(	PUNCT
can-1953	33	4	5	5	NUM
can-1953	33	5	)	)	PUNCT
can-1953	33	6	and	and	CCONJ
can-1953	33	7	u	u	NOUN
can-1953	33	8	satisfies	satisfy	VERB
can-1953	33	9	the	the	DET
can-1953	33	10	impedance	impedance	NOUN
can-1953	33	11	boundary	boundary	ADJ
can-1953	33	12	condition	condition	NOUN
can-1953	33	13	(	(	PUNCT
can-1953	33	14	bc	bc	PROPN
can-1953	33	15	)	)	PUNCT
can-1953	33	16	on	on	ADP
can-1953	33	17	the	the	DET
can-1953	33	18	boundary	boundary	NOUN
can-1953	33	19	of	of	ADP
can-1953	33	20	g	g	PROPN
can-1953	33	21	:	:	PUNCT
can-1953	33	22	un	un	PROPN
can-1953	33	23	–	–	PUNCT
can-1953	33	24	ζmu	ζmu	NOUN
can-1953	33	25	=	=	SYM
can-1953	33	26	0	0	NUM
can-1953	33	27	,	,	PUNCT
can-1953	33	28	on	on	ADP
can-1953	33	29	sm	sm	PROPN
can-1953	33	30	,	,	PUNCT
can-1953	33	31	imζm	imζm	ADJ
can-1953	33	32	≤	≤	NUM
can-1953	33	33	0	0	NUM
can-1953	33	34	,	,	PUNCT
can-1953	33	35	(	(	PUNCT
can-1953	33	36	6	6	NUM
can-1953	33	37	)	)	PUNCT
can-1953	33	38	where	where	SCONJ
can-1953	33	39	ζm	ζm	NOUN
can-1953	33	40	is	be	AUX
can-1953	33	41	a	a	DET
can-1953	33	42	constant	constant	ADJ
can-1953	33	43	,	,	PUNCT
can-1953	33	44	n	n	X
can-1953	33	45	is	be	AUX
can-1953	33	46	the	the	DET
can-1953	33	47	unit	unit	NOUN
can-1953	33	48	normal	normal	ADJ
can-1953	33	49	to	to	ADP
can-1953	33	50	s	s	PROPN
can-1953	33	51	:	:	PUNCT
can-1953	33	52	=	=	SYM
can-1953	33	53	𝑈𝑈𝑚𝑚=1	𝑈𝑈𝑚𝑚=1	PROPN
can-1953	33	54	𝑀𝑀	𝑀𝑀	PROPN
can-1953	33	55	𝑆𝑆𝑚𝑚	𝑆𝑆𝑚𝑚	PROPN
can-1953	33	56	,	,	PUNCT
can-1953	33	57	pointing	point	VERB
can-1953	33	58	out	out	ADP
can-1953	33	59	of	of	ADP
can-1953	33	60	g	g	NOUN
can-1953	33	61	:	:	PUNCT
can-1953	33	62	=	=	SYM
can-1953	33	63	𝑈𝑈𝑚𝑚=1	𝑈𝑈𝑚𝑚=1	PROPN
can-1953	33	64	𝑀𝑀	𝑀𝑀	PROPN
can-1953	33	65	𝐷𝐷𝑚𝑚	𝐷𝐷𝑚𝑚	PROPN
can-1953	33	66	,	,	PUNCT
can-1953	33	67	and	and	CCONJ
can-1953	33	68	sm	sm	PROPN
can-1953	33	69	is	be	AUX
can-1953	33	70	the	the	DET
can-1953	33	71	surface	surface	NOUN
can-1953	33	72	of	of	ADP
can-1953	33	73	dm	dm	PROPN
can-1953	33	74	=	=	SYM
can-1953	33	75	b(xm	b(xm	PROPN
can-1953	33	76	,	,	PUNCT
can-1953	33	77	a	a	PRON
can-1953	33	78	)	)	PUNCT
can-1953	33	79	.	.	PUNCT
can-1953	34	1	by	by	ADP
can-1953	34	2	refraction	refraction	NOUN
can-1953	34	3	coefficient	coefficient	NOUN
can-1953	34	4	n(x	n(x	PROPN
can-1953	34	5	)	)	PUNCT
can-1953	34	6	the	the	DET
can-1953	34	7	coefficient	coefficient	NOUN
can-1953	34	8	in	in	ADP
can-1953	34	9	the	the	DET
can-1953	34	10	equation	equation	NOUN
can-1953	34	11	(	(	PUNCT
can-1953	34	12	∇2	∇2	X
can-1953	34	13	+	+	CCONJ
can-1953	34	14	𝑘𝑘2𝑛𝑛2(𝑥𝑥))𝑢𝑢	𝑘𝑘2𝑛𝑛2(𝑥𝑥))𝑢𝑢	PROPN
can-1953	34	15	=	=	SYM
can-1953	34	16	(	(	PUNCT
can-1953	34	17	∇2	∇2	X
can-1953	34	18	+	+	CCONJ
can-1953	34	19	𝑘𝑘2	𝑘𝑘2	PROPN
can-1953	34	20	−	−	NOUN
can-1953	35	1	𝑞𝑞(𝑥𝑥))𝑢𝑢	𝑞𝑞(𝑥𝑥))𝑢𝑢	PROPN
can-1953	35	2	=	=	PROPN
can-1953	35	3	0	0	PUNCT
can-1953	36	1	(	(	PUNCT
can-1953	36	2	7	7	NUM
can-1953	36	3	)	)	PUNCT
can-1953	36	4	is	be	AUX
can-1953	36	5	understood	understand	VERB
can-1953	36	6	,	,	PUNCT
can-1953	36	7	where	where	SCONJ
can-1953	36	8	q(x	q(x	NOUN
can-1953	36	9	)	)	PUNCT
can-1953	36	10	:	:	PUNCT
can-1953	36	11	=	=	SYM
can-1953	36	12	k2(n2(x	k2(n2(x	X
can-1953	36	13	)	)	PUNCT
can-1953	36	14	–	–	PUNCT
can-1953	36	15	1	1	NUM
can-1953	36	16	)	)	PUNCT
can-1953	36	17	.	.	PUNCT
can-1953	37	1	let	let	VERB
can-1953	37	2	g(x	g(x	NOUN
can-1953	37	3	,	,	PUNCT
can-1953	37	4	y	y	NOUN
can-1953	37	5	)	)	PUNCT
can-1953	37	6	=	=	SYM
can-1953	38	1	𝑒𝑒𝑖𝑖𝑖𝑖|𝑥𝑥−𝑦𝑦|	𝑒𝑒𝑖𝑖𝑖𝑖|𝑥𝑥−𝑦𝑦|	PROPN
can-1953	38	2	4π|𝑥𝑥−𝑦𝑦|	4π|𝑥𝑥−𝑦𝑦|	PROPN
can-1953	38	3	.	.	PUNCT
can-1953	39	1	then	then	ADV
can-1953	39	2	(	(	PUNCT
can-1953	39	3	∇2	∇2	PROPN
can-1953	39	4	+	+	CCONJ
can-1953	39	5	k2)g(x	k2)g(x	PROPN
can-1953	39	6	,	,	PUNCT
can-1953	39	7	y	y	NOUN
can-1953	39	8	)	)	PUNCT
can-1953	39	9	=	=	PUNCT
can-1953	39	10	–	–	PUNCT
can-1953	39	11	δ(x	δ(x	PROPN
can-1953	39	12	–	–	PUNCT
can-1953	39	13	y	y	PROPN
can-1953	39	14	)	)	PUNCT
can-1953	39	15	,	,	PUNCT
can-1953	39	16	where	where	SCONJ
can-1953	39	17	δ(x	δ(x	NOUN
can-1953	39	18	)	)	PUNCT
can-1953	39	19	is	be	AUX
can-1953	39	20	the	the	DET
can-1953	39	21	delta	delta	NOUN
can-1953	39	22	function	function	NOUN
can-1953	39	23	.	.	PUNCT
can-1953	40	1	let	let	VERB
can-1953	40	2	us	we	PRON
can-1953	40	3	distribute	distribute	VERB
can-1953	40	4	small	small	ADJ
can-1953	40	5	impedance	impedance	NOUN
can-1953	40	6	particles	particle	NOUN
can-1953	40	7	dm	dm	NOUN
can-1953	40	8	=	=	SYM
can-1953	40	9	b(xm	b(xm	PROPN
can-1953	40	10	,	,	PUNCT
can-1953	40	11	a	a	PRON
can-1953	40	12	)	)	PUNCT
can-1953	40	13	in	in	ADP
can-1953	40	14	d	d	PROPN
can-1953	40	15	so	so	SCONJ
can-1953	40	16	that	that	SCONJ
can-1953	40	17	ℕ(∆	ℕ(∆	NOUN
can-1953	40	18	)	)	PUNCT
can-1953	41	1	=	=	PUNCT
can-1953	42	1	aκ–2|∆|[1	aκ–2|∆|[1	PROPN
can-1953	42	2	+	+	NUM
can-1953	42	3	o(1	o(1	NOUN
can-1953	42	4	)	)	PUNCT
can-1953	42	5	]	]	PUNCT
can-1953	42	6	,	,	PUNCT
can-1953	42	7	a	a	DET
can-1953	42	8	→	→	SYM
can-1953	42	9	0	0	NUM
can-1953	42	10	,	,	PUNCT
can-1953	42	11	(	(	PUNCT
can-1953	42	12	8)	8)	NUM
can-1953	42	13	where	where	SCONJ
can-1953	42	14	∆	∆	PUNCT
can-1953	42	15	⸦	⸦	NOUN
can-1953	42	16	d	d	NOUN
can-1953	42	17	is	be	AUX
can-1953	42	18	an	an	DET
can-1953	42	19	arbitrary	arbitrary	ADJ
can-1953	42	20	connected	connected	ADJ
can-1953	42	21	open	open	ADJ
can-1953	42	22	subset	subset	NOUN
can-1953	42	23	of	of	ADP
can-1953	42	24	d	d	PROPN
can-1953	42	25	,	,	PUNCT
can-1953	42	26	|∆|	|∆|	PROPN
can-1953	42	27	is	be	AUX
can-1953	42	28	its	its	PRON
can-1953	42	29	volume	volume	NOUN
can-1953	42	30	,	,	PUNCT
can-1953	42	31	κ	κ	PROPN
can-1953	42	32	∈	∈	PROPN
can-1953	42	33	(	(	PUNCT
can-1953	42	34	0	0	NUM
can-1953	42	35	,	,	PUNCT
can-1953	42	36	1	1	NUM
can-1953	42	37	)	)	PUNCT
can-1953	42	38	is	be	AUX
can-1953	42	39	a	a	DET
can-1953	42	40	number	number	NOUN
can-1953	42	41	the	the	DET
can-1953	42	42	experimenter	experimenter	NOUN
can-1953	42	43	may	may	AUX
can-1953	42	44	choose	choose	VERB
can-1953	42	45	arbitrarily	arbitrarily	ADV
can-1953	42	46	and	and	CCONJ
can-1953	42	47	ℕ(∆	ℕ(∆	PROPN
can-1953	42	48	)	)	PUNCT
can-1953	42	49	is	be	AUX
can-1953	42	50	the	the	DET
can-1953	42	51	number	number	NOUN
can-1953	42	52	of	of	ADP
can-1953	42	53	particles	particle	NOUN
can-1953	42	54	in	in	ADP
can-1953	42	55	∆.	∆.	NOUN
can-1953	42	56	throughout	throughout	ADP
can-1953	42	57	this	this	DET
can-1953	42	58	paper	paper	NOUN
can-1953	42	59	the	the	DET
can-1953	42	60	important	important	ADJ
can-1953	42	61	assumptions	assumption	NOUN
can-1953	42	62	a	a	DET
can-1953	42	63	<	<	X
can-1953	42	64	<	<	X
can-1953	42	65	d	d	X
can-1953	42	66	<	<	X
can-1953	42	67	<	<	X
can-1953	42	68	λ	λ	X
can-1953	42	69	and	and	CCONJ
can-1953	42	70	(	(	PUNCT
can-1953	42	71	8)	8)	NUM
can-1953	42	72	are	be	AUX
can-1953	42	73	satisfied	satisfied	ADJ
can-1953	42	74	.	.	PUNCT
can-1953	43	1	as	as	ADP
can-1953	43	2	a	a	DET
can-1953	43	3	→	→	SYM
can-1953	43	4	0	0	NUM
can-1953	43	5	,	,	PUNCT
can-1953	43	6	the	the	DET
can-1953	43	7	number	number	NOUN
can-1953	43	8	of	of	ADP
can-1953	43	9	small	small	ADJ
can-1953	43	10	particles	particle	NOUN
can-1953	43	11	ℕ(∆	ℕ(∆	NOUN
can-1953	43	12	)	)	PUNCT
can-1953	43	13	in	in	ADP
can-1953	43	14	(	(	PUNCT
can-1953	43	15	8)	8)	NUM
can-1953	43	16	tends	tend	VERB
can-1953	43	17	to	to	PART
can-1953	43	18	infinity	infinity	VERB
can-1953	43	19	since	since	SCONJ
can-1953	43	20	κ	κ	NOUN
can-1953	43	21	–	–	PUNCT
can-1953	43	22	2	2	NUM
can-1953	43	23	<	<	X
can-1953	43	24	0	0	NUM
can-1953	43	25	.	.	PUNCT
can-1953	44	1	we	we	PRON
can-1953	44	2	assume	assume	VERB
can-1953	44	3	in	in	ADP
can-1953	44	4	this	this	DET
can-1953	44	5	paper	paper	NOUN
can-1953	44	6	(	(	PUNCT
can-1953	44	7	for	for	ADP
can-1953	44	8	simplicity	simplicity	NOUN
can-1953	44	9	only	only	ADV
can-1953	44	10	)	)	PUNCT
can-1953	44	11	that	that	SCONJ
can-1953	44	12	the	the	DET
can-1953	44	13	small	small	ADJ
can-1953	44	14	particles	particle	NOUN
can-1953	44	15	are	be	AUX
can-1953	44	16	distributed	distribute	VERB
can-1953	44	17	in	in	ADP
can-1953	44	18	the	the	DET
can-1953	44	19	domain	domain	NOUN
can-1953	44	20	d	d	NOUN
can-1953	44	21	and	and	CCONJ
can-1953	44	22	the	the	DET
can-1953	44	23	refraction	refraction	NOUN
can-1953	44	24	coefficient	coefficient	NOUN
can-1953	44	25	in	in	ADP
can-1953	44	26	d	d	PROPN
can-1953	44	27	equals	equal	VERB
can-1953	44	28	to	to	ADP
can-1953	44	29	1	1	NUM
can-1953	44	30	.	.	PUNCT
can-1953	45	1	in	in	ADP
can-1953	45	2	the	the	DET
can-1953	45	3	monograph	monograph	NOUN
can-1953	46	1	[	[	X
can-1953	46	2	31	31	NUM
can-1953	46	3	]	]	PUNCT
can-1953	46	4	,	,	PUNCT
can-1953	46	5	it	it	PRON
can-1953	46	6	is	be	AUX
can-1953	46	7	assumed	assume	VERB
can-1953	46	8	that	that	SCONJ
can-1953	46	9	d	d	PROPN
can-1953	46	10	is	be	AUX
can-1953	46	11	filled	fill	VERB
can-1953	46	12	with	with	ADP
can-1953	46	13	the	the	DET
can-1953	46	14	material	material	NOUN
can-1953	46	15	whose	whose	DET
can-1953	46	16	refraction	refraction	NOUN
can-1953	46	17	coefficient	coefficient	NOUN
can-1953	46	18	n0(x	n0(x	PRON
can-1953	46	19	)	)	PUNCT
can-1953	46	20	is	be	AUX
can-1953	46	21	known	know	VERB
can-1953	46	22	and	and	CCONJ
can-1953	46	23	we	we	PRON
can-1953	46	24	wanted	want	VERB
can-1953	46	25	to	to	PART
can-1953	46	26	create	create	VERB
can-1953	46	27	in	in	ADP
can-1953	46	28	d	d	PROPN
can-1953	46	29	the	the	DET
can-1953	46	30	material	material	NOUN
can-1953	46	31	with	with	ADP
can-1953	46	32	the	the	DET
can-1953	46	33	desired	desire	VERB
can-1953	46	34	refraction	refraction	NOUN
can-1953	46	35	coefficient	coefficient	NOUN
can-1953	46	36	n(x	n(x	PROPN
can-1953	46	37	)	)	PUNCT
can-1953	46	38	.	.	PUNCT
can-1953	47	1	the	the	DET
can-1953	47	2	boundary	boundary	ADJ
can-1953	47	3	impedances	impedance	NOUN
can-1953	47	4	ζm	ζm	VERB
can-1953	47	5	are	be	AUX
can-1953	47	6	chosen	choose	VERB
can-1953	47	7	by	by	ADP
can-1953	47	8	the	the	DET
can-1953	47	9	formula	formula	NOUN
can-1953	47	10	ζm	ζm	ADP
can-1953	47	11	=	=	PUNCT
can-1953	47	12	a	a	DET
can-1953	47	13	–	–	PUNCT
can-1953	47	14	κh(xm	κh(xm	NOUN
can-1953	47	15	)	)	PUNCT
can-1953	47	16	,	,	PUNCT
can-1953	47	17	(	(	PUNCT
can-1953	47	18	9	9	X
can-1953	47	19	)	)	PUNCT
can-1953	47	20	where	where	SCONJ
can-1953	47	21	h(x	h(x	PROPN
can-1953	47	22	)	)	PUNCT
can-1953	47	23	is	be	AUX
can-1953	47	24	a	a	DET
can-1953	47	25	continuous	continuous	ADJ
can-1953	47	26	function	function	NOUN
can-1953	47	27	in	in	ADP
can-1953	47	28	d	d	PROPN
can-1953	47	29	,	,	PUNCT
can-1953	47	30	imh	imh	VERB
can-1953	47	31	≤	≤	NUM
can-1953	47	32	0	0	NUM
can-1953	47	33	.	.	PUNCT
can-1953	48	1	it	it	PRON
can-1953	48	2	will	will	AUX
can-1953	48	3	be	be	AUX
can-1953	48	4	clear	clear	ADJ
can-1953	48	5	from	from	ADP
can-1953	48	6	section	section	NOUN
can-1953	48	7	3	3	NUM
can-1953	48	8	that	that	SCONJ
can-1953	48	9	the	the	DET
can-1953	48	10	function	function	NOUN
can-1953	48	11	h(x	h(x	PROPN
can-1953	48	12	)	)	PUNCT
can-1953	48	13	can	can	AUX
can-1953	48	14	be	be	AUX
can-1953	48	15	determined	determine	VERB
can-1953	48	16	by	by	ADP
can-1953	48	17	choosing	choose	VERB
can-1953	48	18	a	a	DET
can-1953	48	19	suitable	suitable	ADJ
can-1953	48	20	boundary	boundary	ADJ
can-1953	48	21	impedance	impedance	NOUN
can-1953	48	22	ζ(x	ζ(x	NOUN
can-1953	48	23	)	)	PUNCT
can-1953	48	24	.	.	PUNCT
can-1953	49	1	when	when	SCONJ
can-1953	49	2	a	a	DET
can-1953	49	3	→	→	SYM
can-1953	49	4	0	0	NUM
can-1953	49	5	,	,	PUNCT
can-1953	49	6	the	the	DET
can-1953	49	7	ζm	ζm	NOUN
can-1953	49	8	and	and	CCONJ
can-1953	49	9	h(xm	h(xm	NUM
can-1953	49	10	)	)	PUNCT
can-1953	49	11	can	can	AUX
can-1953	49	12	be	be	AUX
can-1953	49	13	considered	consider	VERB
can-1953	49	14	as	as	ADP
can-1953	49	15	continuous	continuous	ADJ
can-1953	49	16	functions	function	NOUN
can-1953	49	17	ζ(x	ζ(x	NOUN
can-1953	49	18	)	)	PUNCT
can-1953	49	19	and	and	CCONJ
can-1953	49	20	h(x	h(x	PROPN
can-1953	49	21	)	)	PUNCT
can-1953	49	22	.	.	PUNCT
can-1953	50	1	2	2	X
can-1953	50	2	.	.	X
can-1953	50	3	solution	solution	NOUN
can-1953	50	4	of	of	ADP
can-1953	50	5	many	many	ADJ
can-1953	50	6	-	-	PUNCT
can-1953	50	7	body	body	NOUN
can-1953	50	8	scattering	scatter	VERB
can-1953	50	9	problem	problem	NOUN
can-1953	50	10	we	we	PRON
can-1953	50	11	look	look	VERB
can-1953	50	12	for	for	ADP
can-1953	50	13	the	the	DET
can-1953	50	14	solution	solution	NOUN
can-1953	50	15	of	of	ADP
can-1953	50	16	the	the	DET
can-1953	50	17	form	form	NOUN
can-1953	50	18	(	(	PUNCT
can-1953	50	19	10	10	NUM
can-1953	50	20	)	)	PUNCT
can-1953	50	21	where	where	SCONJ
can-1953	50	22	σm(s	σm(s	NUM
can-1953	50	23	)	)	PUNCT
can-1953	50	24	are	be	AUX
can-1953	50	25	unknown	unknown	ADJ
can-1953	50	26	,	,	PUNCT
can-1953	50	27	qm	qm	INTJ
can-1953	50	28	:	:	PUNCT
can-1953	50	29	=	=	NOUN
can-1953	50	30	∫	∫	PROPN
can-1953	50	31	𝜎𝜎𝑚𝑚(𝑠𝑠)𝑑𝑑𝑠𝑠𝑆𝑆𝑚𝑚	𝜎𝜎𝑚𝑚(𝑠𝑠)𝑑𝑑𝑠𝑠𝑆𝑆𝑚𝑚	PROPN
can-1953	50	32	.	.	PUNCT
can-1953	51	1	one	one	PRON
can-1953	51	2	may	may	AUX
can-1953	51	3	think	think	VERB
can-1953	51	4	about	about	ADP
can-1953	51	5	σm	σm	NOUN
can-1953	51	6	as	as	ADP
can-1953	51	7	of	of	ADP
can-1953	51	8	charge	charge	NOUN
can-1953	51	9	densities	density	NOUN
can-1953	51	10	on	on	ADP
can-1953	51	11	sm	sm	PROPN
can-1953	51	12	and	and	CCONJ
can-1953	51	13	3	3	NUM
can-1953	51	14	of	of	ADP
can-1953	51	15	qm	qm	PROPN
can-1953	51	16	as	as	ADP
can-1953	51	17	of	of	ADP
can-1953	51	18	total	total	ADJ
can-1953	51	19	charge	charge	NOUN
can-1953	51	20	on	on	ADP
can-1953	51	21	the	the	DET
can-1953	51	22	surface	surface	NOUN
can-1953	51	23	sm	sm	INTJ
can-1953	51	24	.	.	PUNCT
can-1953	52	1	we	we	PRON
can-1953	52	2	prove	prove	VERB
can-1953	52	3	that	that	SCONJ
can-1953	52	4	𝐽𝐽	𝐽𝐽	PROPN
can-1953	52	5	≔	≔	NOUN
can-1953	52	6	�	�	PROPN
can-1953	52	7	�	�	PROPN
can-1953	53	1	[	[	X
can-1953	53	2	𝑔𝑔(𝑥𝑥	𝑔𝑔(𝑥𝑥	PROPN
can-1953	53	3	,	,	PUNCT
can-1953	53	4	𝑠𝑠	𝑠𝑠	ADJ
can-1953	53	5	)	)	PUNCT
can-1953	53	6	−	−	PROPN
can-1953	54	1	𝑔𝑔(𝑥𝑥	𝑔𝑔(𝑥𝑥	PROPN
can-1953	54	2	,	,	PUNCT
can-1953	54	3	𝑥𝑥𝑚𝑚)]𝜎𝜎𝑚𝑚(𝑠𝑠)𝑑𝑑𝑠𝑠	𝑥𝑥𝑚𝑚)]𝜎𝜎𝑚𝑚(𝑠𝑠)𝑑𝑑𝑠𝑠	NOUN
can-1953	54	4	𝑆𝑆𝑚𝑚	𝑆𝑆𝑚𝑚	PART
can-1953	54	5	𝑀𝑀	𝑀𝑀	PROPN
can-1953	54	6	𝑚𝑚=1	𝑚𝑚=1	X
can-1953	54	7	(	(	PUNCT
can-1953	54	8	11	11	NUM
can-1953	54	9	)	)	PUNCT
can-1953	54	10	is	be	AUX
can-1953	54	11	negligible	negligible	ADJ
can-1953	54	12	compared	compare	VERB
can-1953	54	13	to	to	ADP
can-1953	54	14	(	(	PUNCT
can-1953	54	15	12	12	NUM
can-1953	54	16	)	)	PUNCT
can-1953	55	1	so	so	ADV
can-1953	55	2	j	j	X
can-1953	55	3	<	<	X
can-1953	55	4	<	<	X
can-1953	55	5	i	i	PRON
can-1953	55	6	as	as	ADP
can-1953	55	7	a	a	DET
can-1953	55	8	→	→	SYM
can-1953	55	9	0	0	NUM
can-1953	55	10	.	.	PUNCT
can-1953	56	1	(	(	PUNCT
can-1953	56	2	13	13	NUM
can-1953	56	3	)	)	PUNCT
can-1953	56	4	we	we	PRON
can-1953	56	5	prove	prove	VERB
can-1953	56	6	that	that	SCONJ
can-1953	56	7	the	the	DET
can-1953	56	8	field	field	NOUN
can-1953	56	9	u	u	NOUN
can-1953	56	10	satisfies	satisfy	VERB
can-1953	56	11	the	the	DET
can-1953	56	12	following	follow	VERB
can-1953	56	13	integral	integral	ADJ
can-1953	56	14	equation	equation	NOUN
can-1953	56	15	as	as	ADP
can-1953	56	16	a	a	DET
can-1953	56	17	→	→	SYM
can-1953	56	18	0	0	NUM
can-1953	56	19	:	:	PUNCT
can-1953	56	20	u(x	u(x	PROPN
can-1953	56	21	)	)	PUNCT
can-1953	56	22	=	=	SYM
can-1953	56	23	u0(x	u0(x	NUM
can-1953	56	24	)	)	PUNCT
can-1953	56	25	–	–	PUNCT
can-1953	56	26	4π∫	4π∫	NOUN
can-1953	56	27	𝑔𝑔(𝑥𝑥,𝑦𝑦)ℎ(𝑦𝑦)𝑢𝑢(𝑦𝑦)𝑑𝑑𝑦𝑦𝐷𝐷	𝑔𝑔(𝑥𝑥,𝑦𝑦)ℎ(𝑦𝑦)𝑢𝑢(𝑦𝑦)𝑑𝑑𝑦𝑦𝐷𝐷	NOUN
can-1953	56	28	,	,	PUNCT
can-1953	56	29	(	(	PUNCT
can-1953	56	30	14	14	NUM
can-1953	56	31	)	)	PUNCT
can-1953	56	32	where	where	SCONJ
can-1953	56	33	h(xm	h(xm	ADJ
can-1953	56	34	)	)	PUNCT
can-1953	57	1	=	=	SYM
can-1953	57	2	𝜁𝜁𝑚𝑚	𝜁𝜁𝑚𝑚	NOUN
can-1953	57	3	𝑎𝑎𝜅𝜅	𝑎𝑎𝜅𝜅	NOUN
can-1953	57	4	,	,	PUNCT
can-1953	57	5	and	and	CCONJ
can-1953	57	6	,	,	PUNCT
can-1953	57	7	since	since	SCONJ
can-1953	57	8	there	there	PRON
can-1953	57	9	are	be	VERB
can-1953	57	10	sufficiently	sufficiently	ADV
can-1953	57	11	many	many	ADJ
can-1953	57	12	points	point	NOUN
can-1953	57	13	xm	xm	PROPN
can-1953	57	14	∈	∈	PROPN
can-1953	58	1	d	d	PROPN
can-1953	58	2	,	,	PUNCT
can-1953	58	3	the	the	DET
can-1953	58	4	function	function	NOUN
can-1953	58	5	h(x	h(x	PROPN
can-1953	58	6	)	)	PUNCT
can-1953	58	7	is	be	AUX
can-1953	58	8	uniquely	uniquely	ADV
can-1953	58	9	determined	determined	ADJ
can-1953	58	10	in	in	ADP
can-1953	58	11	d	d	PROPN
can-1953	58	12	if	if	SCONJ
can-1953	58	13	the	the	DET
can-1953	58	14	boundary	boundary	ADJ
can-1953	58	15	impedances	impedance	NOUN
can-1953	58	16	are	be	AUX
can-1953	58	17	known	know	VERB
can-1953	58	18	.	.	PUNCT
can-1953	59	1	apply	apply	VERB
can-1953	59	2	the	the	DET
can-1953	59	3	operator	operator	NOUN
can-1953	59	4	to	to	PART
can-1953	59	5	∇2	∇2	PROPN
can-1953	59	6	+	+	CCONJ
can-1953	59	7	k2	k2	PROPN
can-1953	59	8	to	to	ADP
can-1953	59	9	both	both	DET
can-1953	59	10	sides	side	NOUN
can-1953	59	11	of	of	ADP
can-1953	59	12	equation	equation	NOUN
can-1953	59	13	(	(	PUNCT
can-1953	59	14	14	14	NUM
can-1953	59	15	)	)	PUNCT
can-1953	59	16	and	and	CCONJ
can-1953	59	17	get	get	VERB
can-1953	59	18	�	�	NOUN
can-1953	59	19	∇2	∇2	X
can-1953	59	20	+	+	CCONJ
can-1953	59	21	𝑘𝑘2	𝑘𝑘2	PROPN
can-1953	59	22	−	−	PROPN
can-1953	59	23	4𝜋𝜋ℎ(𝑥𝑥)	4𝜋𝜋ℎ(𝑥𝑥)	SYM
can-1953	59	24	�	�	PROPN
can-1953	59	25	𝑢𝑢(𝑥𝑥	𝑢𝑢(𝑥𝑥	NOUN
can-1953	59	26	)	)	PUNCT
can-1953	59	27	∶=	∶=	NUM
can-1953	59	28	�	�	PROPN
can-1953	59	29	∇2	∇2	X
can-1953	59	30	+	+	CCONJ
can-1953	59	31	𝑘𝑘2𝑛𝑛2(𝑥𝑥)	𝑘𝑘2𝑛𝑛2(𝑥𝑥)	PROPN
can-1953	59	32	�	�	PROPN
can-1953	59	33	𝑢𝑢(𝑥𝑥	𝑢𝑢(𝑥𝑥	PROPN
can-1953	59	34	)	)	PUNCT
can-1953	59	35	=	=	SYM
can-1953	60	1	0	0	NUM
can-1953	60	2	(	(	PUNCT
can-1953	60	3	15	15	NUM
can-1953	60	4	)	)	PUNCT
can-1953	60	5	therefore	therefore	ADV
can-1953	60	6	,	,	PUNCT
can-1953	60	7	n2(x	n2(x	NOUN
can-1953	60	8	)	)	PUNCT
can-1953	60	9	=	=	SYM
can-1953	60	10	1	1	NUM
can-1953	60	11	–	–	PUNCT
can-1953	60	12	4πk–2h(x	4πk–2h(x	NUM
can-1953	60	13	)	)	PUNCT
can-1953	60	14	.	.	PUNCT
can-1953	61	1	(	(	PUNCT
can-1953	61	2	16	16	NUM
can-1953	61	3	)	)	PUNCT
can-1953	61	4	we	we	PRON
can-1953	61	5	omit	omit	VERB
can-1953	61	6	details	detail	NOUN
can-1953	61	7	since	since	SCONJ
can-1953	61	8	they	they	PRON
can-1953	61	9	can	can	AUX
can-1953	61	10	be	be	AUX
can-1953	61	11	found	find	VERB
can-1953	61	12	in	in	ADP
can-1953	61	13	the	the	DET
can-1953	61	14	author	author	NOUN
can-1953	61	15	’s	’s	PART
can-1953	61	16	publications	publication	NOUN
can-1953	61	17	listed	list	VERB
can-1953	61	18	in	in	ADP
can-1953	61	19	the	the	DET
can-1953	61	20	references	reference	NOUN
can-1953	61	21	,	,	PUNCT
can-1953	61	22	in	in	ADP
can-1953	61	23	particular	particular	ADJ
can-1953	61	24	,	,	PUNCT
can-1953	61	25	in	in	ADP
can-1953	61	26	monograph	monograph	NOUN
can-1953	62	1	[	[	X
can-1953	62	2	31	31	NUM
can-1953	62	3	]	]	PUNCT
can-1953	62	4	.	.	PUNCT
can-1953	63	1	if	if	SCONJ
can-1953	63	2	originally	originally	ADV
can-1953	63	3	in	in	ADP
can-1953	63	4	d	d	PROPN
can-1953	63	5	were	be	AUX
can-1953	63	6	material	material	NOUN
can-1953	63	7	with	with	ADP
can-1953	63	8	the	the	DET
can-1953	63	9	known	know	VERB
can-1953	63	10	refraction	refraction	NOUN
can-1953	63	11	coefficient	coefficient	NOUN
can-1953	63	12	n0(x	n0(x	PRON
can-1953	63	13	)	)	PUNCT
can-1953	63	14	,	,	PUNCT
can-1953	63	15	then	then	ADV
can-1953	63	16	formula	formula	NOUN
can-1953	63	17	(	(	PUNCT
can-1953	63	18	16	16	NUM
can-1953	63	19	)	)	PUNCT
can-1953	63	20	were	be	AUX
can-1953	63	21	n2(x	n2(x	X
can-1953	63	22	)	)	PUNCT
can-1953	63	23	=	=	SYM
can-1953	63	24	𝑛𝑛02(𝑥𝑥	𝑛𝑛02(𝑥𝑥	PROPN
can-1953	63	25	)	)	PUNCT
can-1953	63	26	–	–	PUNCT
can-1953	64	1	4πh(x)n(x)k–2	4πh(x)n(x)k–2	NUM
can-1953	64	2	,	,	PUNCT
can-1953	64	3	where	where	SCONJ
can-1953	64	4	n(x	n(x	PROPN
can-1953	64	5	)	)	PUNCT
can-1953	64	6	is	be	AUX
can-1953	64	7	the	the	DET
can-1953	64	8	distribution	distribution	NOUN
can-1953	64	9	density	density	NOUN
can-1953	64	10	for	for	ADP
can-1953	64	11	the	the	DET
can-1953	64	12	small	small	ADJ
can-1953	64	13	particles	particle	NOUN
can-1953	64	14	,	,	PUNCT
can-1953	64	15	see	see	VERB
can-1953	64	16	reference	reference	NOUN
can-1953	64	17	[	[	X
can-1953	64	18	31	31	NUM
can-1953	64	19	]	]	PUNCT
can-1953	64	20	.	.	PUNCT
can-1953	65	1	in	in	ADP
can-1953	65	2	this	this	DET
can-1953	65	3	paper	paper	NOUN
can-1953	65	4	,	,	PUNCT
can-1953	65	5	we	we	PRON
can-1953	65	6	assume	assume	VERB
can-1953	65	7	(	(	PUNCT
can-1953	65	8	for	for	ADP
can-1953	65	9	simplicity	simplicity	NOUN
can-1953	65	10	only	only	ADV
can-1953	65	11	)	)	PUNCT
can-1953	65	12	that	that	SCONJ
can-1953	65	13	n(x	n(x	X
can-1953	65	14	)	)	PUNCT
can-1953	65	15	=	=	SYM
can-1953	65	16	1	1	NUM
can-1953	65	17	,	,	PUNCT
can-1953	65	18	see	see	VERB
can-1953	65	19	formula	formula	NOUN
can-1953	65	20	(	(	PUNCT
can-1953	65	21	8)	8)	NUM
can-1953	65	22	.	.	NOUN
can-1953	66	1	3	3	NUM
can-1953	66	2	.	.	NOUN
can-1953	66	3	recipe	recipe	NOUN
can-1953	66	4	for	for	ADP
can-1953	66	5	creating	create	VERB
can-1953	66	6	materials	material	NOUN
can-1953	66	7	with	with	ADP
can-1953	66	8	a	a	DET
can-1953	66	9	desired	desire	VERB
can-1953	66	10	refraction	refraction	NOUN
can-1953	66	11	coefficient	coefficient	NOUN
can-1953	66	12	let	let	VERB
can-1953	66	13	us	we	PRON
can-1953	66	14	formulate	formulate	VERB
can-1953	66	15	a	a	DET
can-1953	66	16	recipe	recipe	NOUN
can-1953	66	17	for	for	ADP
can-1953	66	18	creating	create	VERB
can-1953	66	19	materials	material	NOUN
can-1953	66	20	with	with	ADP
can-1953	66	21	a	a	DET
can-1953	66	22	desired	desire	VERB
can-1953	66	23	refraction	refraction	NOUN
can-1953	66	24	coefficient	coefficient	NOUN
can-1953	66	25	.	.	PUNCT
can-1953	67	1	formula	formula	NOUN
can-1953	67	2	(	(	PUNCT
can-1953	67	3	16	16	NUM
can-1953	67	4	)	)	PUNCT
can-1953	67	5	shows	show	VERB
can-1953	67	6	that	that	SCONJ
can-1953	67	7	if	if	SCONJ
can-1953	67	8	h(x	h(x	PROPN
can-1953	67	9	)	)	PUNCT
can-1953	67	10	is	be	AUX
can-1953	67	11	chosen	choose	VERB
can-1953	67	12	properly	properly	ADV
can-1953	67	13	,	,	PUNCT
can-1953	67	14	then	then	ADV
can-1953	67	15	any	any	DET
can-1953	67	16	n(x	n(x	ADJ
can-1953	67	17	)	)	PUNCT
can-1953	67	18	can	can	AUX
can-1953	67	19	be	be	AUX
can-1953	67	20	obtained	obtain	VERB
can-1953	67	21	in	in	ADP
can-1953	67	22	d.	d.	PROPN
can-1953	67	23	recipe	recipe	NOUN
can-1953	67	24	for	for	ADP
can-1953	67	25	creating	create	VERB
can-1953	67	26	materials	material	NOUN
can-1953	67	27	with	with	ADP
can-1953	67	28	a	a	DET
can-1953	67	29	desired	desire	VERB
can-1953	67	30	refraction	refraction	NOUN
can-1953	67	31	coefficient	coefficient	NOUN
can-1953	67	32	:	:	PUNCT
can-1953	67	33	a	a	X
can-1953	67	34	)	)	PUNCT
can-1953	67	35	calculate	calculate	NOUN
can-1953	67	36	by	by	ADP
can-1953	67	37	formula	formula	NOUN
can-1953	67	38	(	(	PUNCT
can-1953	67	39	16	16	NUM
can-1953	67	40	)	)	PUNCT
can-1953	67	41	the	the	DET
can-1953	67	42	function	function	NOUN
can-1953	67	43	h(x	h(x	PROPN
can-1953	67	44	)	)	PUNCT
can-1953	67	45	;	;	PUNCT
can-1953	67	46	b	b	X
can-1953	67	47	)	)	PUNCT
can-1953	67	48	distribute	distribute	VERB
can-1953	67	49	small	small	ADJ
can-1953	67	50	impedance	impedance	NOUN
can-1953	67	51	balls	ball	NOUN
can-1953	67	52	in	in	ADP
can-1953	67	53	the	the	DET
can-1953	67	54	domain	domain	NOUN
can-1953	67	55	d	d	NOUN
can-1953	67	56	by	by	ADP
can-1953	67	57	the	the	DET
can-1953	67	58	distribution	distribution	NOUN
can-1953	67	59	law	law	NOUN
can-1953	67	60	(	(	PUNCT
can-1953	67	61	8)	8)	NUM
can-1953	67	62	.	.	PUNCT
can-1953	68	1	the	the	DET
can-1953	68	2	boundary	boundary	ADJ
can-1953	68	3	impedances	impedance	NOUN
can-1953	68	4	of	of	ADP
can-1953	68	5	these	these	DET
can-1953	68	6	balls	ball	NOUN
can-1953	68	7	are	be	AUX
can-1953	68	8	defined	define	VERB
can-1953	68	9	by	by	ADP
can-1953	68	10	the	the	DET
can-1953	68	11	function	function	NOUN
can-1953	68	12	h(x	h(x	PROPN
can-1953	68	13	)	)	PUNCT
can-1953	68	14	.	.	PUNCT
can-1953	69	1	theorem	theorem	NOUN
can-1953	69	2	1	1	NUM
can-1953	69	3	.	.	PUNCT
can-1953	70	1	the	the	DET
can-1953	70	2	refraction	refraction	NOUN
can-1953	70	3	coefficient	coefficient	NOUN
can-1953	70	4	of	of	ADP
can-1953	70	5	the	the	DET
can-1953	70	6	resulting	result	VERB
can-1953	70	7	medium	medium	NOUN
can-1953	70	8	tends	tend	NOUN
can-1953	70	9	to	to	ADP
can-1953	70	10	the	the	DET
can-1953	70	11	desired	desire	VERB
can-1953	70	12	coefficient	coefficient	NOUN
can-1953	70	13	n(x	n(x	PROPN
can-1953	70	14	)	)	PUNCT
can-1953	70	15	as	as	ADP
can-1953	70	16	a	a	DET
can-1953	70	17	→	→	SYM
can-1953	70	18	0	0	NUM
can-1953	70	19	.	.	PUNCT
can-1953	70	20	let	let	VERB
can-1953	70	21	us	we	PRON
can-1953	70	22	show	show	VERB
can-1953	70	23	that	that	SCONJ
can-1953	70	24	practically	practically	ADV
can-1953	70	25	negative	negative	ADJ
can-1953	70	26	refraction	refraction	NOUN
can-1953	70	27	coefficient	coefficient	NOUN
can-1953	70	28	n(x	n(x	PROPN
can-1953	70	29	)	)	PUNCT
can-1953	70	30	can	can	AUX
can-1953	70	31	be	be	AUX
can-1953	70	32	obtained	obtain	VERB
can-1953	70	33	by	by	ADP
can-1953	70	34	the	the	DET
can-1953	70	35	above	above	ADJ
can-1953	70	36	recipe	recipe	NOUN
can-1953	70	37	.	.	PUNCT
can-1953	71	1	denote	denote	NOUN
can-1953	71	2	b	b	NOUN
can-1953	71	3	:	:	PUNCT
can-1953	71	4	=	=	SYM
can-1953	72	1	4πk–2	4πk–2	NUM
can-1953	72	2	>	>	SYM
can-1953	72	3	0	0	PUNCT
can-1953	73	1	and	and	CCONJ
can-1953	73	2	write	write	VERB
can-1953	73	3	equation	equation	NOUN
can-1953	73	4	(	(	PUNCT
can-1953	73	5	16	16	NUM
can-1953	73	6	)	)	PUNCT
can-1953	73	7	as	as	ADP
can-1953	73	8	n(x	n(x	X
can-1953	73	9	)	)	PUNCT
can-1953	73	10	=	=	SYM
can-1953	73	11	(	(	PUNCT
can-1953	73	12	1	1	NUM
can-1953	73	13	–	–	PUNCT
can-1953	73	14	bh(x))1/2	bh(x))1/2	X
can-1953	73	15	=	=	SYM
can-1953	73	16	|1	|1	NUM
can-1953	74	1	−	−	PROPN
can-1953	74	2	𝑏𝑏ℎ(𝑥𝑥)|1/2𝑒𝑒𝜙𝜙/2	𝑏𝑏ℎ(𝑥𝑥)|1/2𝑒𝑒𝜙𝜙/2	PROPN
can-1953	74	3	,	,	PUNCT
can-1953	74	4	(	(	PUNCT
can-1953	74	5	17	17	NUM
can-1953	74	6	)	)	PUNCT
can-1953	74	7	where	where	SCONJ
can-1953	74	8	ϕ	ϕ	NOUN
can-1953	74	9	is	be	AUX
can-1953	74	10	the	the	DET
can-1953	74	11	argument	argument	NOUN
can-1953	74	12	of	of	ADP
can-1953	74	13	1	1	NUM
can-1953	74	14	–	–	PUNCT
can-1953	74	15	bh(x	bh(x	NUM
can-1953	74	16	)	)	PUNCT
can-1953	74	17	.	.	PUNCT
can-1953	75	1	since	since	SCONJ
can-1953	75	2	the	the	DET
can-1953	75	3	operator	operator	NOUN
can-1953	75	4	in	in	ADP
can-1953	75	5	(	(	PUNCT
can-1953	75	6	14	14	NUM
can-1953	75	7	)	)	PUNCT
can-1953	75	8	is	be	AUX
can-1953	75	9	of	of	ADP
can-1953	75	10	fredholm	fredholm	NOUN
can-1953	75	11	type	type	NOUN
can-1953	75	12	,	,	PUNCT
can-1953	75	13	it	it	PRON
can-1953	75	14	remains	remain	VERB
can-1953	75	15	fredholm	fredholm	ADJ
can-1953	75	16	type	type	NOUN
can-1953	75	17	under	under	ADP
can-1953	75	18	small	small	ADJ
can-1953	75	19	perturbations	perturbation	NOUN
can-1953	75	20	.	.	PUNCT
can-1953	76	1	therefore	therefore	ADV
can-1953	76	2	one	one	PRON
can-1953	76	3	can	can	AUX
can-1953	76	4	take	take	VERB
can-1953	76	5	h	h	PRON
can-1953	76	6	–	–	PUNCT
can-1953	76	7	i𝜖𝜖	i𝜖𝜖	ADV
can-1953	76	8	,	,	PUNCT
can-1953	76	9	where	where	SCONJ
can-1953	76	10	𝜖𝜖	𝜖𝜖	PROPN
can-1953	76	11	>	>	X
can-1953	76	12	0	0	NUM
can-1953	76	13	is	be	AUX
can-1953	76	14	sufficiently	sufficiently	ADV
can-1953	76	15	small	small	ADJ
can-1953	76	16	,	,	PUNCT
can-1953	76	17	and	and	CCONJ
can-1953	76	18	equation	equation	NOUN
can-1953	76	19	(	(	PUNCT
can-1953	76	20	14	14	NUM
can-1953	76	21	)	)	PUNCT
can-1953	76	22	will	will	AUX
can-1953	76	23	still	still	ADV
can-1953	76	24	have	have	VERB
can-1953	76	25	a	a	DET
can-1953	76	26	unique	unique	ADJ
can-1953	76	27	solution	solution	NOUN
can-1953	76	28	.	.	PUNCT
can-1953	77	1	by	by	ADP
can-1953	77	2	choosing	choose	VERB
can-1953	77	3	h	h	NOUN
can-1953	77	4	so	so	SCONJ
can-1953	77	5	that	that	SCONJ
can-1953	77	6	re(1	re(1	PROPN
can-1953	77	7	–	–	PUNCT
can-1953	77	8	bh	bh	NOUN
can-1953	77	9	)	)	PUNCT
can-1953	77	10	>	>	X
can-1953	77	11	0	0	PUNCT
can-1953	77	12	and	and	CCONJ
can-1953	77	13	im(1	im(1	PROPN
can-1953	77	14	–	–	PUNCT
can-1953	77	15	bh	bh	NOUN
can-1953	77	16	)	)	PUNCT
can-1953	77	17	<	<	X
can-1953	77	18	0	0	PUNCT
can-1953	77	19	and	and	CCONJ
can-1953	77	20	small	small	ADJ
can-1953	77	21	,	,	PUNCT
can-1953	77	22	one	one	PRON
can-1953	77	23	gets	get	VERB
can-1953	77	24	the	the	DET
can-1953	77	25	argument	argument	NOUN
can-1953	77	26	ϕ	ϕ	NOUN
can-1953	77	27	=	=	PUNCT
can-1953	77	28	2π	2π	PROPN
can-1953	77	29	–	–	PUNCT
can-1953	77	30	δ	δ	NOUN
can-1953	77	31	,	,	PUNCT
can-1953	77	32	where	where	SCONJ
can-1953	77	33	δ	δ	PROPN
can-1953	77	34	>	>	X
can-1953	77	35	0	0	NUM
can-1953	77	36	is	be	AUX
can-1953	77	37	arbitrarily	arbitrarily	ADV
can-1953	77	38	small	small	ADJ
can-1953	77	39	if	if	SCONJ
can-1953	77	40	𝜖𝜖	𝜖𝜖	NOUN
can-1953	77	41	is	be	AUX
can-1953	77	42	sufficiently	sufficiently	ADV
can-1953	77	43	small	small	ADJ
can-1953	77	44	.	.	PUNCT
can-1953	78	1	then	then	ADV
can-1953	78	2	n(x	n(x	PROPN
can-1953	78	3	)	)	PUNCT
can-1953	78	4	will	will	AUX
can-1953	78	5	be	be	AUX
can-1953	78	6	nearly	nearly	ADV
can-1953	78	7	negative	negative	ADJ
can-1953	78	8	:	:	PUNCT
can-1953	78	9	its	its	PRON
can-1953	78	10	argument	argument	NOUN
can-1953	78	11	will	will	AUX
can-1953	78	12	be	be	AUX
can-1953	78	13	π	π	PROPN
can-1953	78	14	–	–	PUNCT
can-1953	78	15	δ/2	δ/2	NUM
can-1953	78	16	.	.	PUNCT
can-1953	79	1	4	4	X
can-1953	79	2	.	.	X
can-1953	79	3	creating	create	VERB
can-1953	79	4	materials	material	NOUN
can-1953	79	5	with	with	ADP
can-1953	79	6	a	a	DET
can-1953	79	7	desired	desire	VERB
can-1953	79	8	radiation	radiation	NOUN
can-1953	79	9	pattern	pattern	NOUN
can-1953	79	10	let	let	VERB
can-1953	79	11	us	we	PRON
can-1953	79	12	define	define	VERB
can-1953	79	13	what	what	PRON
can-1953	79	14	we	we	PRON
can-1953	79	15	mean	mean	VERB
can-1953	79	16	by	by	ADP
can-1953	79	17	the	the	DET
can-1953	79	18	radiation	radiation	NOUN
can-1953	79	19	pattern	pattern	NOUN
can-1953	79	20	.	.	PUNCT
can-1953	80	1	consider	consider	VERB
can-1953	80	2	the	the	DET
can-1953	80	3	scattering	scattering	NOUN
can-1953	80	4	problem	problem	NOUN
can-1953	80	5	for	for	ADP
can-1953	80	6	the	the	DET
can-1953	80	7	equation	equation	NOUN
can-1953	80	8	:	:	PUNCT
can-1953	81	1	∇2𝑢𝑢	∇2𝑢𝑢	NOUN
can-1953	81	2	+	+	CCONJ
can-1953	81	3	𝑘𝑘2𝑢𝑢	𝑘𝑘2𝑢𝑢	NUM
can-1953	81	4	−	−	NOUN
can-1953	81	5	𝑞𝑞(𝑥𝑥)𝑢𝑢	𝑞𝑞(𝑥𝑥)𝑢𝑢	X
can-1953	81	6	=	=	SYM
can-1953	81	7	0	0	PROPN
can-1953	81	8	,	,	PUNCT
can-1953	81	9	𝑢𝑢	𝑢𝑢	PRON
can-1953	81	10	=	=	SYM
can-1953	82	1	𝑒𝑒𝑖𝑖𝑖𝑖𝑎𝑎·𝑥𝑥	𝑒𝑒𝑖𝑖𝑖𝑖𝑎𝑎·𝑥𝑥	PROPN
can-1953	82	2	+	+	X
can-1953	82	3	𝑣𝑣	𝑣𝑣	NOUN
can-1953	82	4	,	,	PUNCT
can-1953	82	5	(	(	PUNCT
can-1953	82	6	18	18	NUM
can-1953	82	7	)	)	PUNCT
can-1953	82	8	where	where	SCONJ
can-1953	82	9	v	v	NOUN
can-1953	82	10	satisfies	satisfy	VERB
can-1953	82	11	the	the	DET
can-1953	82	12	radiation	radiation	NOUN
can-1953	82	13	condition	condition	NOUN
can-1953	82	14	.	.	PUNCT
can-1953	83	1	assume	assume	VERB
can-1953	83	2	that	that	SCONJ
can-1953	83	3	k	k	PROPN
can-1953	83	4	>	>	X
can-1953	83	5	0	0	PUNCT
can-1953	83	6	and	and	CCONJ
can-1953	83	7	α	α	PROPN
can-1953	83	8	∈	∈	PROPN
can-1953	83	9	s2	s2	NOUN
can-1953	83	10	are	be	AUX
can-1953	83	11	fixed	fix	VERB
can-1953	83	12	.	.	PUNCT
can-1953	84	1	then	then	ADV
can-1953	84	2	the	the	DET
can-1953	84	3	scattering	scatter	VERB
can-1953	84	4	amplitude	amplitude	NOUN
can-1953	84	5	a(β	a(β	NOUN
can-1953	84	6	,	,	PUNCT
can-1953	84	7	α	α	NOUN
can-1953	84	8	,	,	PUNCT
can-1953	84	9	k	k	NOUN
can-1953	84	10	)	)	PUNCT
can-1953	84	11	=	=	SYM
can-1953	84	12	a(β	a(β	PROPN
can-1953	84	13	)	)	PUNCT
can-1953	84	14	,	,	PUNCT
can-1953	84	15	where	where	SCONJ
can-1953	84	16	the	the	DET
can-1953	84	17	dependence	dependence	NOUN
can-1953	84	18	on	on	ADP
can-1953	84	19	k	k	PROPN
can-1953	84	20	,	,	PUNCT
can-1953	84	21	α	α	PROPN
can-1953	84	22	is	be	AUX
can-1953	84	23	dropped	drop	VERB
can-1953	84	24	since	since	SCONJ
can-1953	84	25	k	k	PROPN
can-1953	84	26	and	and	CCONJ
can-1953	84	27	α	α	PROPN
can-1953	84	28	are	be	AUX
can-1953	84	29	fixed	fix	VERB
can-1953	84	30	.	.	PUNCT
can-1953	85	1	the	the	DET
can-1953	85	2	formula	formula	NOUN
can-1953	85	3	for	for	ADP
can-1953	85	4	the	the	DET
can-1953	85	5	scattering	scatter	VERB
can-1953	85	6	amplitude	amplitude	NOUN
can-1953	85	7	is	be	AUX
can-1953	85	8	known	know	VERB
can-1953	85	9	,	,	PUNCT
can-1953	85	10	see	see	VERB
can-1953	85	11	,	,	PUNCT
can-1953	85	12	e.g.	e.g.	ADV
can-1953	85	13	,	,	PUNCT
can-1953	85	14	reference	reference	NOUN
can-1953	85	15	[	[	X
can-1953	85	16	35	35	NUM
can-1953	85	17	]	]	SYM
can-1953	85	18	:	:	PUNCT
can-1953	85	19	a(β	a(β	NOUN
can-1953	85	20	):	):	PUNCT
can-1953	85	21	=	=	NOUN
can-1953	85	22	aq(β	aq(β	X
can-1953	85	23	)	)	PUNCT
can-1953	85	24	=	=	SYM
can-1953	86	1	−	−	PROPN
can-1953	86	2	1	1	NUM
can-1953	86	3	4𝜋𝜋	4𝜋𝜋	NOUN
can-1953	86	4	∫	∫	PROPN
can-1953	86	5	𝑒𝑒	𝑒𝑒	X
can-1953	86	6	−𝑖𝑖𝑖𝑖𝑖𝑖·𝑦𝑦𝑞𝑞(𝑦𝑦)𝑢𝑢(𝑦𝑦)𝑑𝑑𝑦𝑦.	−𝑖𝑖𝑖𝑖𝑖𝑖·𝑦𝑦𝑞𝑞(𝑦𝑦)𝑢𝑢(𝑦𝑦)𝑑𝑑𝑦𝑦.	PROPN
can-1953	86	7	(	(	PUNCT
can-1953	86	8	19	19	NUM
can-1953	86	9	)	)	PUNCT
can-1953	86	10	we	we	PRON
can-1953	86	11	call	call	VERB
can-1953	86	12	a(β	a(β	NOUN
can-1953	86	13	)	)	PUNCT
can-1953	86	14	the	the	DET
can-1953	86	15	radiation	radiation	NOUN
can-1953	86	16	pattern	pattern	NOUN
can-1953	86	17	.	.	PUNCT
can-1953	87	1	consider	consider	VERB
can-1953	87	2	an	an	DET
can-1953	87	3	inverse	inverse	NOUN
can-1953	87	4	problem	problem	NOUN
can-1953	87	5	(	(	PUNCT
can-1953	87	6	ip	ip	NOUN
can-1953	87	7	):	):	PUNCT
can-1953	87	8	given	give	VERB
can-1953	87	9	an	an	DET
can-1953	87	10	arbitrary	arbitrary	ADJ
can-1953	87	11	f(β	f(β	NOUN
can-1953	87	12	)	)	PUNCT
can-1953	87	13	∈	∈	PROPN
can-1953	87	14	l2(s2	l2(s2	NOUN
can-1953	87	15	)	)	PUNCT
can-1953	87	16	and	and	CCONJ
can-1953	87	17	an	an	DET
can-1953	87	18	arbitrary	arbitrary	ADJ
can-1953	87	19	small	small	ADJ
can-1953	87	20	𝜖𝜖	𝜖𝜖	NOUN
can-1953	87	21	>	>	X
can-1953	87	22	0	0	NUM
can-1953	87	23	,	,	PUNCT
can-1953	87	24	can	can	AUX
can-1953	87	25	one	one	PRON
can-1953	87	26	find	find	VERB
can-1953	87	27	a	a	DET
can-1953	87	28	q	q	NOUN
can-1953	87	29	∈	∈	PROPN
can-1953	87	30	l2(d	l2(d	PROPN
can-1953	87	31	)	)	PUNCT
can-1953	87	32	such	such	ADJ
can-1953	87	33	that	that	PRON
can-1953	87	34	�	�	PROPN
can-1953	87	35	𝑓𝑓(𝛽𝛽	𝑓𝑓(𝛽𝛽	PROPN
can-1953	87	36	)	)	PUNCT
can-1953	88	1	−	−	NUM
can-1953	88	2	𝐴𝐴𝑞𝑞(𝛽𝛽	𝐴𝐴𝑞𝑞(𝛽𝛽	X
can-1953	88	3	)	)	PUNCT
can-1953	88	4	�	�	PROPN
can-1953	88	5	𝐿𝐿2(𝑆𝑆2	𝐿𝐿2(𝑆𝑆2	ADV
can-1953	88	6	)	)	PUNCT
can-1953	88	7	<	<	X
can-1953	88	8	𝜖𝜖.	𝜖𝜖.	X
can-1953	88	9	(	(	PUNCT
can-1953	88	10	20	20	NUM
can-1953	88	11	)	)	PUNCT
can-1953	88	12	4	4	NUM
can-1953	88	13	this	this	DET
can-1953	88	14	inverse	inverse	NOUN
can-1953	88	15	problem	problem	NOUN
can-1953	88	16	was	be	AUX
can-1953	88	17	not	not	PART
can-1953	88	18	formulated	formulate	VERB
can-1953	88	19	and	and	CCONJ
can-1953	88	20	was	be	AUX
can-1953	88	21	not	not	PART
can-1953	88	22	studied	study	VERB
can-1953	88	23	in	in	ADP
can-1953	88	24	the	the	DET
can-1953	88	25	works	work	NOUN
can-1953	88	26	of	of	ADP
can-1953	88	27	other	other	ADJ
can-1953	88	28	authors	author	NOUN
can-1953	88	29	,	,	PUNCT
can-1953	88	30	to	to	ADP
can-1953	88	31	our	our	PRON
can-1953	88	32	knowledge	knowledge	NOUN
can-1953	88	33	.	.	PUNCT
can-1953	89	1	our	our	PRON
can-1953	89	2	result	result	NOUN
can-1953	89	3	is	be	AUX
can-1953	89	4	stated	state	VERB
can-1953	89	5	in	in	ADP
can-1953	89	6	theorem	theorem	NOUN
can-1953	89	7	2	2	NUM
can-1953	89	8	.	.	PUNCT
can-1953	89	9	theorem	theorem	NOUN
can-1953	89	10	2	2	NUM
can-1953	89	11	.	.	X
can-1953	89	12	for	for	ADP
can-1953	89	13	any	any	DET
can-1953	89	14	f(β	f(β	NOUN
can-1953	89	15	)	)	PUNCT
can-1953	89	16	∈	∈	PROPN
can-1953	89	17	l2(s2	l2(s2	NOUN
can-1953	89	18	)	)	PUNCT
can-1953	89	19	and	and	CCONJ
can-1953	89	20	an	an	DET
can-1953	89	21	arbitrary	arbitrary	ADJ
can-1953	89	22	small	small	ADJ
can-1953	89	23	𝜖𝜖	𝜖𝜖	NOUN
can-1953	89	24	>	>	X
can-1953	89	25	0	0	PUNCT
can-1953	90	1	there	there	PRON
can-1953	90	2	is	be	VERB
can-1953	90	3	a	a	DET
can-1953	90	4	q	q	X
can-1953	90	5	∈	∈	PROPN
can-1953	90	6	l2(d	l2(d	PROPN
can-1953	90	7	)	)	PUNCT
can-1953	90	8	such	such	ADJ
can-1953	90	9	that	that	SCONJ
can-1953	90	10	(	(	PUNCT
can-1953	90	11	20	20	NUM
can-1953	90	12	)	)	PUNCT
can-1953	90	13	holds	hold	VERB
can-1953	90	14	.	.	PUNCT
can-1953	91	1	since	since	SCONJ
can-1953	91	2	small	small	ADJ
can-1953	91	3	perturbations	perturbation	NOUN
can-1953	91	4	of	of	ADP
can-1953	91	5	q	q	NOUN
can-1953	91	6	result	result	NOUN
can-1953	91	7	in	in	ADP
can-1953	91	8	small	small	ADJ
can-1953	91	9	perturbations	perturbation	NOUN
can-1953	91	10	of	of	ADP
can-1953	91	11	a(β	a(β	NOUN
can-1953	91	12	)	)	PUNCT
can-1953	91	13	,	,	PUNCT
can-1953	91	14	there	there	PRON
can-1953	91	15	are	be	VERB
can-1953	91	16	infinitely	infinitely	ADV
can-1953	91	17	many	many	ADJ
can-1953	91	18	potentials	potential	VERB
can-1953	91	19	q	q	NOUN
can-1953	91	20	for	for	ADP
can-1953	91	21	which	which	DET
can-1953	91	22	inequality	inequality	NOUN
can-1953	91	23	(	(	PUNCT
can-1953	91	24	20	20	NUM
can-1953	91	25	)	)	PUNCT
can-1953	91	26	holds	hold	VERB
can-1953	91	27	.	.	PUNCT
can-1953	92	1	the	the	DET
can-1953	92	2	conclusion	conclusion	NOUN
can-1953	92	3	of	of	ADP
can-1953	92	4	theorem	theorem	ADJ
can-1953	92	5	2	2	NUM
can-1953	92	6	follows	follow	VERB
can-1953	92	7	from	from	ADP
can-1953	92	8	lemmas	lemmas	PROPN
can-1953	92	9	3	3	NUM
can-1953	92	10	and	and	CCONJ
can-1953	92	11	4	4	NUM
can-1953	92	12	.	.	X
can-1953	93	1	lemma	lemma	PROPN
can-1953	93	2	3	3	X
can-1953	93	3	.	.	PUNCT
can-1953	94	1	the	the	DET
can-1953	94	2	set	set	PROPN
can-1953	94	3	�	�	PROPN
can-1953	94	4	∫	∫	PROPN
can-1953	94	5	𝑒𝑒−𝑖𝑖𝑖𝑖𝑖𝑖·𝑥𝑥ℎ(𝑥𝑥)𝑑𝑑𝑥𝑥𝐷𝐷	𝑒𝑒−𝑖𝑖𝑖𝑖𝑖𝑖·𝑥𝑥ℎ(𝑥𝑥)𝑑𝑑𝑥𝑥𝐷𝐷	PROPN
can-1953	94	6	�	�	PROPN
can-1953	94	7	∀ℎ∈𝐿𝐿2(𝐷𝐷	∀ℎ∈𝐿𝐿2(𝐷𝐷	NOUN
can-1953	94	8	)	)	PUNCT
can-1953	94	9	is	be	AUX
can-1953	94	10	dense	dense	ADJ
can-1953	94	11	in	in	ADP
can-1953	94	12	l2(s2	l2(s2	NOUN
can-1953	94	13	)	)	PUNCT
can-1953	94	14	.	.	PUNCT
can-1953	95	1	corollary	corollary	ADJ
can-1953	95	2	1	1	NUM
can-1953	95	3	.	.	PUNCT
can-1953	96	1	given	give	VERB
can-1953	96	2	f	f	PROPN
can-1953	96	3	∈	∈	PROPN
can-1953	96	4	l2(s2	l2(s2	NOUN
can-1953	96	5	)	)	PUNCT
can-1953	96	6	and	and	CCONJ
can-1953	96	7	𝜖𝜖	𝜖𝜖	ADJ
can-1953	96	8	>	>	X
can-1953	96	9	0	0	PROPN
can-1953	96	10	,	,	PUNCT
can-1953	96	11	one	one	PRON
can-1953	96	12	can	can	AUX
can-1953	96	13	find	find	VERB
can-1953	96	14	h	h	NOUN
can-1953	96	15	∈	∈	PROPN
can-1953	96	16	l2(d	l2(d	PROPN
can-1953	96	17	)	)	PUNCT
can-1953	96	18	such	such	ADJ
can-1953	96	19	that	that	PRON
can-1953	96	20	�	�	PROPN
can-1953	96	21	𝑓𝑓(𝛽𝛽	𝑓𝑓(𝛽𝛽	PROPN
can-1953	96	22	)	)	PUNCT
can-1953	97	1	+	+	CCONJ
can-1953	98	1	1	1	NUM
can-1953	98	2	4𝜋𝜋	4𝜋𝜋	NOUN
can-1953	98	3	∫	∫	PROPN
can-1953	98	4	𝑒𝑒−𝑖𝑖𝑖𝑖𝑖𝑖·𝑥𝑥ℎ(𝑥𝑥)𝑑𝑑𝑥𝑥𝐷𝐷	𝑒𝑒−𝑖𝑖𝑖𝑖𝑖𝑖·𝑥𝑥ℎ(𝑥𝑥)𝑑𝑑𝑥𝑥𝐷𝐷	NOUN
can-1953	98	5	�	�	PROPN
can-1953	98	6	<	<	X
can-1953	98	7	𝜖𝜖.	𝜖𝜖.	NOUN
can-1953	98	8	lemma	lemma	PROPN
can-1953	98	9	4	4	NUM
can-1953	98	10	.	.	PUNCT
can-1953	99	1	the	the	DET
can-1953	99	2	set	set	NOUN
can-1953	99	3	{	{	PUNCT
can-1953	99	4	𝑞𝑞(𝑥𝑥)𝑢𝑢(𝑥𝑥,𝛼𝛼)}∀𝑞𝑞∈𝐿𝐿2(𝐷𝐷	𝑞𝑞(𝑥𝑥)𝑢𝑢(𝑥𝑥,𝛼𝛼)}∀𝑞𝑞∈𝐿𝐿2(𝐷𝐷	PROPN
can-1953	99	5	)	)	PUNCT
can-1953	99	6	is	be	AUX
can-1953	99	7	dense	dense	ADJ
can-1953	99	8	in	in	ADP
can-1953	99	9	l2(d	l2(d	PROPN
can-1953	99	10	)	)	PUNCT
can-1953	99	11	.	.	PUNCT
can-1953	100	1	corollary	corollary	ADJ
can-1953	100	2	2	2	NUM
can-1953	100	3	.	.	PUNCT
can-1953	100	4	given	give	VERB
can-1953	100	5	h	h	PRON
can-1953	100	6	∈	∈	PROPN
can-1953	100	7	l2(d	l2(d	PROPN
can-1953	100	8	)	)	PUNCT
can-1953	100	9	and	and	CCONJ
can-1953	100	10	𝜖𝜖	𝜖𝜖	X
can-1953	100	11	>	>	X
can-1953	100	12	0	0	PROPN
can-1953	100	13	,	,	PUNCT
can-1953	100	14	one	one	PRON
can-1953	100	15	can	can	AUX
can-1953	100	16	find	find	VERB
can-1953	100	17	q	q	X
can-1953	100	18	∈	∈	PROPN
can-1953	100	19	l2(d	l2(d	PROPN
can-1953	100	20	)	)	PUNCT
can-1953	100	21	such	such	ADJ
can-1953	100	22	that	that	SCONJ
can-1953	100	23	‖ℎ(𝑥𝑥	‖ℎ(𝑥𝑥	NOUN
can-1953	100	24	)	)	PUNCT
can-1953	100	25	−	−	PROPN
can-1953	100	26	𝑞𝑞(𝑥𝑥)𝑢𝑢(𝑥𝑥,𝛼𝛼)‖𝐿𝐿2(𝐷𝐷	𝑞𝑞(𝑥𝑥)𝑢𝑢(𝑥𝑥,𝛼𝛼)‖𝐿𝐿2(𝐷𝐷	NOUN
can-1953	100	27	)	)	PUNCT
can-1953	100	28	<	<	X
can-1953	100	29	𝜖𝜖.	𝜖𝜖.	NOUN
can-1953	100	30	since	since	SCONJ
can-1953	100	31	the	the	DET
can-1953	100	32	scattering	scatter	VERB
can-1953	100	33	amplitude	amplitude	NOUN
can-1953	100	34	a(β	a(β	NOUN
can-1953	100	35	)	)	PUNCT
can-1953	100	36	=	=	SYM
can-1953	101	1	−	−	PROPN
can-1953	101	2	1	1	NUM
can-1953	101	3	4𝜋𝜋	4𝜋𝜋	NOUN
can-1953	101	4	∫	∫	PROPN
can-1953	101	5	𝑒𝑒−𝑖𝑖𝑖𝑖𝑖𝑖·𝑥𝑥ℎ(𝑥𝑥)𝑑𝑑𝑥𝑥𝐷𝐷	𝑒𝑒−𝑖𝑖𝑖𝑖𝑖𝑖·𝑥𝑥ℎ(𝑥𝑥)𝑑𝑑𝑥𝑥𝐷𝐷	NOUN
can-1953	101	6	depends	depend	VERB
can-1953	101	7	continuously	continuously	ADV
can-1953	101	8	on	on	ADP
can-1953	101	9	h	h	NOUN
can-1953	101	10	,	,	PUNCT
can-1953	101	11	the	the	DET
can-1953	101	12	inverse	inverse	NOUN
can-1953	101	13	problem	problem	NOUN
can-1953	101	14	ip	ip	NOUN
can-1953	101	15	is	be	AUX
can-1953	101	16	solved	solve	VERB
can-1953	101	17	by	by	ADP
can-1953	101	18	lemmas	lemmas	PROPN
can-1953	101	19	3	3	NUM
can-1953	101	20	and	and	CCONJ
can-1953	101	21	4	4	NUM
can-1953	101	22	.	.	X
can-1953	101	23	proofs	proof	NOUN
can-1953	101	24	are	be	AUX
can-1953	101	25	omitted	omit	VERB
can-1953	101	26	.	.	PUNCT
can-1953	102	1	they	they	PRON
can-1953	102	2	can	can	AUX
can-1953	102	3	be	be	AUX
can-1953	102	4	found	find	VERB
can-1953	102	5	in	in	ADP
can-1953	102	6	reference	reference	NOUN
can-1953	102	7	[	[	X
can-1953	102	8	31	31	NUM
can-1953	102	9	]	]	SYM
can-1953	102	10	.	.	PUNCT
can-1953	103	1	5	5	X
can-1953	103	2	.	.	X
can-1953	103	3	discussion	discussion	NOUN
can-1953	103	4	how	how	SCONJ
can-1953	103	5	is	be	AUX
can-1953	103	6	the	the	DET
can-1953	103	7	theory	theory	NOUN
can-1953	103	8	,	,	PUNCT
can-1953	103	9	outlined	outline	VERB
can-1953	103	10	in	in	ADP
can-1953	103	11	the	the	DET
can-1953	103	12	previous	previous	ADJ
can-1953	103	13	sections	section	NOUN
can-1953	103	14	,	,	PUNCT
can-1953	103	15	can	can	AUX
can-1953	103	16	be	be	AUX
can-1953	103	17	used	use	VERB
can-1953	103	18	practically	practically	ADV
can-1953	103	19	?	?	PUNCT
can-1953	104	1	to	to	PART
can-1953	104	2	create	create	VERB
can-1953	104	3	a	a	DET
can-1953	104	4	material	material	NOUN
can-1953	104	5	with	with	ADP
can-1953	104	6	a	a	DET
can-1953	104	7	desired	desire	VERB
can-1953	104	8	refraction	refraction	NOUN
can-1953	104	9	coefficient	coefficient	NOUN
can-1953	104	10	,	,	PUNCT
can-1953	104	11	or	or	CCONJ
can-1953	104	12	a	a	DET
can-1953	104	13	material	material	NOUN
can-1953	104	14	with	with	ADP
can-1953	104	15	a	a	DET
can-1953	104	16	refraction	refraction	NOUN
can-1953	104	17	coefficient	coefficient	NOUN
can-1953	104	18	close	close	ADV
can-1953	104	19	to	to	ADP
can-1953	104	20	the	the	DET
can-1953	104	21	desired	desire	VERB
can-1953	104	22	,	,	PUNCT
can-1953	104	23	is	be	AUX
can-1953	104	24	practically	practically	ADV
can-1953	104	25	very	very	ADV
can-1953	104	26	important	important	ADJ
can-1953	104	27	.	.	PUNCT
can-1953	105	1	to	to	ADP
can-1953	105	2	my	my	PRON
can-1953	105	3	knowledge	knowledge	NOUN
can-1953	105	4	,	,	PUNCT
can-1953	105	5	there	there	PRON
can-1953	105	6	were	be	VERB
can-1953	105	7	no	no	DET
can-1953	105	8	general	general	ADJ
can-1953	105	9	methods	method	NOUN
can-1953	105	10	for	for	ADP
can-1953	105	11	creating	create	VERB
can-1953	105	12	material	material	NOUN
can-1953	105	13	with	with	ADP
can-1953	105	14	a	a	DET
can-1953	105	15	desired	desire	VERB
can-1953	105	16	refraction	refraction	NOUN
can-1953	105	17	coefficient	coefficient	NOUN
can-1953	105	18	.	.	PUNCT
can-1953	106	1	to	to	PART
can-1953	106	2	use	use	VERB
can-1953	106	3	the	the	DET
can-1953	106	4	theory	theory	NOUN
can-1953	106	5	,	,	PUNCT
can-1953	106	6	outlined	outline	VERB
can-1953	106	7	in	in	ADP
can-1953	106	8	this	this	DET
can-1953	106	9	paper	paper	NOUN
can-1953	106	10	and	and	CCONJ
can-1953	106	11	in	in	ADP
can-1953	106	12	the	the	DET
can-1953	106	13	monographs[31–33	monographs[31–33	PROPN
can-1953	106	14	]	]	PUNCT
can-1953	106	15	,	,	PUNCT
can-1953	106	16	one	one	PRON
can-1953	106	17	has	have	VERB
can-1953	106	18	to	to	PART
can-1953	106	19	solve	solve	VERB
can-1953	106	20	a	a	DET
can-1953	106	21	technological	technological	ADJ
can-1953	106	22	problem	problem	NOUN
can-1953	106	23	:	:	PUNCT
can-1953	106	24	how	how	SCONJ
can-1953	106	25	to	to	PART
can-1953	106	26	prepare	prepare	VERB
can-1953	106	27	a	a	DET
can-1953	106	28	small	small	ADJ
can-1953	106	29	particle	particle	NOUN
can-1953	106	30	,	,	PUNCT
can-1953	106	31	say	say	INTJ
can-1953	106	32	,	,	PUNCT
can-1953	106	33	a	a	DET
can-1953	106	34	ball	ball	NOUN
can-1953	106	35	of	of	ADP
can-1953	106	36	radius	radius	NOUN
can-1953	106	37	a	a	PRON
can-1953	106	38	,	,	PUNCT
can-1953	106	39	with	with	ADP
can-1953	106	40	the	the	DET
can-1953	106	41	prescribed	prescribe	VERB
can-1953	106	42	boundary	boundary	ADJ
can-1953	106	43	impedance	impedance	NOUN
can-1953	106	44	ζ	ζ	NOUN
can-1953	106	45	.	.	PUNCT
can-1953	107	1	this	this	DET
can-1953	107	2	problem	problem	NOUN
can-1953	107	3	should	should	AUX
can-1953	107	4	be	be	AUX
can-1953	107	5	solvable	solvable	ADJ
can-1953	107	6	,	,	PUNCT
can-1953	107	7	see	see	VERB
can-1953	107	8	reference	reference	NOUN
can-1953	107	9	[	[	X
can-1953	107	10	33	33	NUM
can-1953	107	11	]	]	PUNCT
can-1953	107	12	for	for	ADP
can-1953	107	13	arguments	argument	NOUN
can-1953	107	14	supporting	support	VERB
can-1953	107	15	this	this	DET
can-1953	107	16	conclusions	conclusion	NOUN
can-1953	107	17	.	.	PUNCT
can-1953	108	1	if	if	SCONJ
can-1953	108	2	this	this	DET
can-1953	108	3	technological	technological	ADJ
can-1953	108	4	problem	problem	NOUN
can-1953	108	5	is	be	AUX
can-1953	108	6	solved	solve	VERB
can-1953	108	7	,	,	PUNCT
can-1953	108	8	then	then	ADV
can-1953	108	9	the	the	DET
can-1953	108	10	recipe	recipe	NOUN
can-1953	108	11	outlined	outline	VERB
can-1953	108	12	in	in	ADP
can-1953	108	13	this	this	DET
can-1953	108	14	paper	paper	NOUN
can-1953	108	15	(	(	PUNCT
can-1953	108	16	and	and	CCONJ
can-1953	108	17	in	in	ADP
can-1953	108	18	the	the	DET
can-1953	108	19	author	author	NOUN
can-1953	108	20	’s	’s	PART
can-1953	108	21	monographs[31–33	monographs[31–33	PROPN
can-1953	108	22	]	]	PUNCT
can-1953	108	23	can	can	AUX
can-1953	108	24	be	be	AUX
can-1953	108	25	immediately	immediately	ADV
can-1953	108	26	used	use	VERB
can-1953	108	27	in	in	ADP
can-1953	108	28	practice	practice	NOUN
can-1953	108	29	.	.	PUNCT
can-1953	109	1	the	the	DET
can-1953	109	2	problem	problem	NOUN
can-1953	109	3	of	of	ADP
can-1953	109	4	creating	create	VERB
can-1953	109	5	materials	material	NOUN
can-1953	109	6	with	with	ADP
can-1953	109	7	a	a	DET
can-1953	109	8	desired	desire	VERB
can-1953	109	9	radiation	radiation	NOUN
can-1953	109	10	pattern	pattern	NOUN
can-1953	109	11	,	,	PUNCT
can-1953	109	12	the	the	DET
can-1953	109	13	wave	wave	NOUN
can-1953	109	14	focusing	focus	VERB
can-1953	109	15	materials	material	NOUN
can-1953	109	16	,	,	PUNCT
can-1953	109	17	for	for	ADP
can-1953	109	18	example	example	NOUN
can-1953	109	19	,	,	PUNCT
can-1953	109	20	was	be	AUX
can-1953	109	21	not	not	PART
can-1953	109	22	investigated	investigate	VERB
can-1953	109	23	earlier	early	ADV
can-1953	109	24	.	.	PUNCT
can-1953	110	1	this	this	DET
can-1953	110	2	problem	problem	NOUN
can-1953	110	3	is	be	AUX
can-1953	110	4	of	of	ADP
can-1953	110	5	great	great	ADJ
can-1953	110	6	practical	practical	ADJ
can-1953	110	7	interest	interest	NOUN
can-1953	110	8	.	.	PUNCT
can-1953	111	1	the	the	DET
can-1953	111	2	usual	usual	ADJ
can-1953	111	3	bodies	body	NOUN
can-1953	111	4	scatter	scatter	VERB
can-1953	111	5	waves	wave	NOUN
can-1953	111	6	mostly	mostly	ADV
can-1953	111	7	backwards	backwards	ADV
can-1953	111	8	,	,	PUNCT
can-1953	111	9	somewhat	somewhat	ADV
can-1953	111	10	sidewise	sidewise	VERB
can-1953	111	11	and	and	CCONJ
can-1953	111	12	a	a	DET
can-1953	111	13	little	little	ADJ
can-1953	111	14	forwards	forward	NOUN
can-1953	111	15	.	.	PUNCT
can-1953	112	1	if	if	SCONJ
can-1953	112	2	one	one	PRON
can-1953	112	3	creates	create	VERB
can-1953	112	4	a	a	DET
can-1953	112	5	body	body	NOUN
can-1953	112	6	which	which	PRON
can-1953	112	7	scatters	scatter	VERB
can-1953	112	8	waves	wave	NOUN
can-1953	112	9	,	,	PUNCT
can-1953	112	10	for	for	ADP
can-1953	112	11	example	example	NOUN
can-1953	112	12	,	,	PUNCT
can-1953	112	13	in	in	ADP
can-1953	112	14	a	a	DET
can-1953	112	15	given	give	VERB
can-1953	112	16	solid	solid	ADJ
can-1953	112	17	angle	angle	NOUN
can-1953	112	18	,	,	PUNCT
can-1953	112	19	this	this	PRON
can-1953	112	20	would	would	AUX
can-1953	112	21	be	be	AUX
can-1953	112	22	of	of	ADP
can-1953	112	23	great	great	ADJ
can-1953	112	24	practical	practical	ADJ
can-1953	112	25	interest	interest	NOUN
can-1953	112	26	.	.	PUNCT
can-1953	113	1	such	such	DET
can-1953	113	2	a	a	DET
can-1953	113	3	body	body	NOUN
can-1953	113	4	can	can	AUX
can-1953	113	5	be	be	AUX
can-1953	113	6	created	create	VERB
can-1953	113	7	as	as	SCONJ
can-1953	113	8	follows	follow	VERB
can-1953	113	9	from	from	ADP
can-1953	113	10	the	the	DET
can-1953	113	11	theory	theory	NOUN
can-1953	113	12	outlined	outline	VERB
can-1953	113	13	in	in	ADP
can-1953	113	14	the	the	DET
can-1953	113	15	previous	previous	ADJ
can-1953	113	16	section	section	NOUN
can-1953	113	17	.	.	PUNCT
can-1953	114	1	the	the	DET
can-1953	114	2	author	author	NOUN
can-1953	114	3	wrote	write	VERB
can-1953	114	4	this	this	DET
can-1953	114	5	paper	paper	NOUN
can-1953	114	6	in	in	ADP
can-1953	114	7	an	an	DET
can-1953	114	8	attempt	attempt	NOUN
can-1953	114	9	to	to	PART
can-1953	114	10	draw	draw	VERB
can-1953	114	11	attention	attention	NOUN
can-1953	114	12	of	of	ADP
can-1953	114	13	the	the	DET
can-1953	114	14	specialists	specialist	NOUN
can-1953	114	15	in	in	ADP
can-1953	114	16	material	material	NOUN
can-1953	114	17	sciences	science	NOUN
can-1953	114	18	to	to	ADP
can-1953	114	19	the	the	DET
can-1953	114	20	theory	theory	NOUN
can-1953	114	21	he	he	PRON
can-1953	114	22	has	have	AUX
can-1953	114	23	developed	develop	VERB
can-1953	114	24	for	for	ADP
can-1953	114	25	creating	create	VERB
can-1953	114	26	materials	material	NOUN
can-1953	114	27	with	with	ADP
can-1953	114	28	the	the	DET
can-1953	114	29	desired	desire	VERB
can-1953	114	30	refraction	refraction	NOUN
can-1953	114	31	coefficient	coefficient	NOUN
can-1953	114	32	.	.	PUNCT
can-1953	115	1	the	the	DET
can-1953	115	2	author	author	NOUN
can-1953	115	3	is	be	AUX
can-1953	115	4	not	not	PART
can-1953	115	5	aware	aware	ADJ
can-1953	115	6	of	of	ADP
can-1953	115	7	the	the	DET
can-1953	115	8	experimental	experimental	ADJ
can-1953	115	9	results	result	NOUN
can-1953	115	10	based	base	VERB
can-1953	115	11	on	on	ADP
can-1953	115	12	his	his	PRON
can-1953	115	13	theory	theory	NOUN
can-1953	115	14	.	.	PUNCT
can-1953	116	1	such	such	ADJ
can-1953	116	2	results	result	NOUN
can-1953	116	3	are	be	AUX
can-1953	116	4	very	very	ADV
can-1953	116	5	desirable	desirable	ADJ
can-1953	116	6	.	.	PUNCT
can-1953	117	1	there	there	PRON
can-1953	117	2	are	be	VERB
can-1953	117	3	numerical	numerical	ADJ
can-1953	117	4	results	result	NOUN
can-1953	117	5	,	,	PUNCT
can-1953	117	6	based	base	VERB
can-1953	117	7	on	on	ADP
can-1953	117	8	his	his	PRON
can-1953	117	9	theory	theory	NOUN
can-1953	117	10	,	,	PUNCT
can-1953	117	11	see	see	VERB
can-1953	117	12	references	reference	NOUN
can-1953	117	13	[	[	X
can-1953	117	14	37	37	NUM
can-1953	117	15	]	]	PUNCT
can-1953	117	16	and	and	CCONJ
can-1953	117	17	[	[	X
can-1953	117	18	38	38	NUM
can-1953	117	19	]	]	PUNCT
can-1953	117	20	.	.	PUNCT
can-1953	118	1	conflict	conflict	NOUN
can-1953	118	2	of	of	ADP
can-1953	118	3	interest	interest	NOUN
can-1953	118	4	author	author	NOUN
can-1953	118	5	declares	declare	VERB
can-1953	118	6	no	no	DET
can-1953	118	7	conflict	conflict	NOUN
can-1953	118	8	of	of	ADP
can-1953	118	9	interest	interest	NOUN
can-1953	118	10	.	.	PUNCT
can-1953	119	1	references	reference	NOUN
can-1953	119	2	1	1	NUM
can-1953	119	3	.	.	PUNCT
can-1953	120	1	rayleigh	rayleigh	PROPN
can-1953	120	2	j.	j.	PROPN
can-1953	120	3	scientific	scientific	ADJ
can-1953	120	4	papers	paper	NOUN
can-1953	120	5	.	.	PUNCT
can-1953	121	1	cambridge	cambridge	PROPN
can-1953	121	2	:	:	PUNCT
can-1953	121	3	cambridge	cambridge	PROPN
can-1953	121	4	university	university	PROPN
can-1953	121	5	press	press	NOUN
can-1953	121	6	;	;	PUNCT
can-1953	121	7	1992	1992	NUM
can-1953	121	8	.	.	PUNCT
can-1953	122	1	2	2	X
can-1953	122	2	.	.	X
can-1953	122	3	van	van	PROPN
can-1953	122	4	de	de	PROPN
can-1953	122	5	hulst	hulst	PROPN
can-1953	122	6	hc	hc	PROPN
can-1953	122	7	.	.	PROPN
can-1953	122	8	light	light	ADJ
can-1953	122	9	scattering	scattering	NOUN
can-1953	122	10	by	by	ADP
can-1953	122	11	small	small	ADJ
can-1953	122	12	particles	particle	NOUN
can-1953	122	13	.	.	PUNCT
can-1953	123	1	new	new	PROPN
can-1953	123	2	york	york	PROPN
can-1953	123	3	:	:	PUNCT
can-1953	123	4	dover	dover	PROPN
can-1953	123	5	publications	publication	NOUN
can-1953	123	6	;	;	PUNCT
can-1953	123	7	1961	1961	NUM
can-1953	123	8	.	.	PUNCT
can-1953	124	1	3	3	X
can-1953	124	2	.	.	X
can-1953	124	3	landau	landau	NOUN
can-1953	124	4	l	l	PROPN
can-1953	124	5	,	,	PUNCT
can-1953	124	6	lifschitz	lifschitz	PROPN
can-1953	124	7	l.	l.	PROPN
can-1953	124	8	electrodynamics	electrodynamics	PROPN
can-1953	124	9	of	of	ADP
can-1953	124	10	continuous	continuous	ADJ
can-1953	124	11	media	medium	NOUN
can-1953	124	12	.	.	PUNCT
can-1953	125	1	oxford	oxford	NOUN
can-1953	125	2	:	:	PUNCT
can-1953	125	3	pergamon	pergamon	PROPN
can-1953	125	4	press	press	PROPN
can-1953	125	5	;	;	PUNCT
can-1953	125	6	1984	1984	NUM
can-1953	125	7	.	.	PUNCT
can-1953	126	1	4	4	X
can-1953	126	2	.	.	X
can-1953	126	3	ramm	ramm	PROPN
can-1953	126	4	ag	ag	PROPN
can-1953	126	5	.	.	PROPN
can-1953	126	6	wave	wave	PROPN
can-1953	126	7	scattering	scatter	VERB
can-1953	126	8	by	by	ADP
can-1953	126	9	small	small	ADJ
can-1953	126	10	bodies	body	NOUN
can-1953	126	11	of	of	ADP
can-1953	126	12	arbitrary	arbitrary	ADJ
can-1953	126	13	shapes	shape	NOUN
can-1953	126	14	.	.	PUNCT
can-1953	127	1	singapore	singapore	NOUN
can-1953	127	2	:	:	PUNCT
can-1953	127	3	world	world	NOUN
can-1953	127	4	scientific	scientific	PROPN
can-1953	127	5	publishing	publishing	PROPN
can-1953	127	6	co.	co.	PROPN
can-1953	127	7	pte	pte	PROPN
can-1953	127	8	.	.	PROPN
can-1953	127	9	ltd	ltd	PROPN
can-1953	127	10	.	.	PROPN
can-1953	127	11	;	;	PUNCT
can-1953	127	12	2005	2005	NUM
can-1953	127	13	.	.	PUNCT
can-1953	128	1	5	5	NUM
can-1953	128	2	.	.	X
can-1953	128	3	martin	martin	PROPN
can-1953	128	4	p.	p.	PROPN
can-1953	128	5	multiple	multiple	ADJ
can-1953	128	6	scattering	scattering	NOUN
can-1953	128	7	.	.	PUNCT
can-1953	129	1	cambridge	cambridge	PROPN
can-1953	129	2	:	:	PUNCT
can-1953	129	3	cambridge	cambridge	PROPN
can-1953	129	4	university	university	PROPN
can-1953	129	5	press	press	NOUN
can-1953	129	6	;	;	PUNCT
can-1953	129	7	2006	2006	NUM
can-1953	129	8	.	.	PUNCT
can-1953	130	1	6	6	NUM
can-1953	130	2	.	.	X
can-1953	130	3	ramm	ramm	PROPN
can-1953	130	4	ag	ag	PROPN
can-1953	130	5	.	.	PUNCT
can-1953	130	6	scattering	scatter	VERB
can-1953	130	7	by	by	ADP
can-1953	130	8	obstacles	obstacle	NOUN
can-1953	130	9	.	.	PUNCT
can-1953	131	1	dordrecht	dordrecht	PROPN
can-1953	131	2	:	:	PUNCT
can-1953	131	3	d.	d.	PROPN
can-1953	131	4	reidel	reidel	PROPN
can-1953	131	5	;	;	PUNCT
can-1953	131	6	1986	1986	NUM
can-1953	131	7	.	.	PUNCT
can-1953	132	1	7	7	X
can-1953	132	2	.	.	X
can-1953	132	3	ramm	ramm	PROPN
can-1953	132	4	ag	ag	AUX
can-1953	132	5	.	.	PUNCT
can-1953	132	6	scattering	scatter	VERB
can-1953	132	7	by	by	ADP
can-1953	132	8	many	many	ADJ
can-1953	132	9	small	small	ADJ
can-1953	132	10	bodies	body	NOUN
can-1953	132	11	and	and	CCONJ
can-1953	132	12	applications	application	NOUN
can-1953	132	13	to	to	PART
can-1953	132	14	condensed	condense	VERB
can-1953	132	15	matter	matter	NOUN
can-1953	132	16	physics	physics	NOUN
can-1953	132	17	.	.	PUNCT
can-1953	133	1	europhysics	europhysics	PROPN
can-1953	133	2	letters	letter	NOUN
can-1953	133	3	2007	2007	NUM
can-1953	133	4	;	;	PUNCT
can-1953	133	5	80(4	80(4	NUM
can-1953	133	6	):	):	PUNCT
can-1953	133	7	44001	44001	NUM
can-1953	133	8	.	.	PUNCT
can-1953	134	1	doi	doi	NOUN
can-1953	134	2	:	:	PUNCT
can-1953	134	3	10.1209/0295	10.1209/0295	NUM
can-1953	134	4	-	-	SYM
can-1953	134	5	5075/80/44001	5075/80/44001	NUM
can-1953	134	6	.	.	NOUN
can-1953	134	7	8	8	NUM
can-1953	134	8	.	.	X
can-1953	134	9	ramm	ramm	PROPN
can-1953	134	10	ag	ag	PROPN
can-1953	134	11	.	.	PUNCT
can-1953	135	1	many	many	ADJ
can-1953	135	2	-	-	PUNCT
can-1953	135	3	body	body	NOUN
can-1953	135	4	wave	wave	NOUN
can-1953	135	5	scattering	scattering	NOUN
can-1953	135	6	by	by	ADP
can-1953	135	7	small	small	ADJ
can-1953	135	8	bodies	body	NOUN
can-1953	135	9	and	and	CCONJ
can-1953	135	10	applications	application	NOUN
can-1953	135	11	.	.	PUNCT
can-1953	136	1	journal	journal	PROPN
can-1953	136	2	of	of	ADP
can-1953	136	3	mathematical	mathematical	ADJ
can-1953	136	4	physics	physics	NOUN
can-1953	136	5	2007	2007	NUM
can-1953	136	6	;	;	PUNCT
can-1953	136	7	48	48	NUM
can-1953	136	8	:	:	SYM
can-1953	136	9	103511	103511	NUM
can-1953	136	10	.	.	PUNCT
can-1953	137	1	doi	doi	NOUN
can-1953	137	2	:	:	PUNCT
can-1953	137	3	10.1063/1.2799258	10.1063/1.2799258	NUM
can-1953	137	4	.	.	PUNCT
can-1953	138	1	9	9	NUM
can-1953	138	2	.	.	X
can-1953	138	3	ramm	ramm	PROPN
can-1953	138	4	ag	ag	PROPN
can-1953	138	5	.	.	PROPN
can-1953	138	6	wave	wave	PROPN
can-1953	138	7	scattering	scatter	VERB
can-1953	138	8	by	by	ADP
can-1953	138	9	small	small	ADJ
can-1953	138	10	particles	particle	NOUN
can-1953	138	11	in	in	ADP
can-1953	138	12	a	a	DET
can-1953	138	13	medium	medium	NOUN
can-1953	138	14	.	.	PUNCT
can-1953	139	1	physics	physics	NOUN
can-1953	139	2	letters	letter	NOUN
can-1953	139	3	a	a	DET
can-1953	139	4	2007	2007	NUM
can-1953	139	5	;	;	PUNCT
can-1953	139	6	367(1	367(1	NUM
can-1953	139	7	-	-	SYM
can-1953	139	8	2	2	NUM
can-1953	139	9	):	):	PUNCT
can-1953	139	10	156	156	NUM
can-1953	139	11	–	–	SYM
can-1953	139	12	161	161	NUM
can-1953	139	13	.	.	PUNCT
can-1953	140	1	doi	doi	NOUN
can-1953	140	2	:	:	PUNCT
can-1953	140	3	10.1016	10.1016	NUM
can-1953	140	4	/	/	SYM
can-1953	140	5	j.physleta.2007.02.076	j.physleta.2007.02.076	PROPN
can-1953	140	6	.	.	PROPN
can-1953	141	1	10	10	NUM
can-1953	141	2	.	.	PUNCT
can-1953	141	3	ramm	ramm	PROPN
can-1953	141	4	ag	ag	PROPN
can-1953	141	5	.	.	PROPN
can-1953	141	6	wave	wave	PROPN
can-1953	141	7	scattering	scatter	VERB
can-1953	141	8	by	by	ADP
can-1953	141	9	small	small	ADJ
can-1953	141	10	impedance	impedance	NOUN
can-1953	141	11	particles	particle	NOUN
can-1953	141	12	in	in	ADP
can-1953	141	13	a	a	DET
can-1953	141	14	medium	medium	NOUN
can-1953	141	15	.	.	PUNCT
can-1953	142	1	physics	physics	NOUN
can-1953	142	2	letters	letter	NOUN
can-1953	142	3	a	a	DET
can-1953	142	4	2007	2007	NUM
can-1953	142	5	;	;	PUNCT
can-1953	142	6	368(1	368(1	NUM
can-1953	142	7	-	-	SYM
can-1953	142	8	2	2	NUM
can-1953	142	9	):	):	PUNCT
can-1953	142	10	164–172	164–172	NUM
can-1953	142	11	.	.	PUNCT
can-1953	143	1	doi	doi	NOUN
can-1953	143	2	:	:	PUNCT
can-1953	143	3	10.1016	10.1016	NUM
can-1953	143	4	/	/	SYM
can-1953	143	5	j.physleta.2007.04.061	j.physleta.2007.04.061	PROPN
can-1953	143	6	.	.	PROPN
can-1953	144	1	5	5	NUM
can-1953	144	2	11	11	NUM
can-1953	144	3	.	.	PUNCT
can-1953	145	1	ramm	ramm	PROPN
can-1953	145	2	ag	ag	PROPN
can-1953	145	3	.	.	PUNCT
can-1953	145	4	distribution	distribution	NOUN
can-1953	145	5	of	of	ADP
can-1953	145	6	particles	particle	NOUN
can-1953	145	7	which	which	PRON
can-1953	145	8	produces	produce	VERB
can-1953	145	9	a	a	DET
can-1953	145	10	desired	desire	VERB
can-1953	145	11	radiation	radiation	NOUN
can-1953	145	12	pattern	pattern	NOUN
can-1953	145	13	.	.	PUNCT
can-1953	146	1	communications	communication	NOUN
can-1953	146	2	in	in	ADP
can-1953	146	3	nonlinear	nonlinear	ADJ
can-1953	146	4	science	science	NOUN
can-1953	146	5	and	and	CCONJ
can-1953	146	6	numerical	numerical	PROPN
can-1953	146	7	simulation	simulation	NOUN
can-1953	146	8	2007	2007	NUM
can-1953	146	9	;	;	PUNCT
can-1953	146	10	12(7	12(7	NUM
can-1953	146	11	):	):	PUNCT
can-1953	146	12	1115–1119	1115–1119	NUM
can-1953	146	13	.	.	PUNCT
can-1953	147	1	doi	doi	NOUN
can-1953	147	2	:	:	PUNCT
can-1953	147	3	10.1016	10.1016	NUM
can-1953	147	4	/	/	SYM
can-1953	147	5	j.cnsns.2005.11.001	j.cnsns.2005.11.001	PROPN
can-1953	147	6	.	.	PROPN
can-1953	148	1	12	12	NUM
can-1953	148	2	.	.	PUNCT
can-1953	148	3	ramm	ramm	PROPN
can-1953	148	4	ag	ag	PROPN
can-1953	148	5	.	.	PUNCT
can-1953	148	6	distribution	distribution	NOUN
can-1953	148	7	of	of	ADP
can-1953	148	8	particles	particle	NOUN
can-1953	148	9	which	which	PRON
can-1953	148	10	produces	produce	VERB
can-1953	148	11	a	a	DET
can-1953	148	12	“	"	PUNCT
can-1953	148	13	smart	smart	ADJ
can-1953	148	14	”	"	PUNCT
can-1953	148	15	material	material	NOUN
can-1953	148	16	.	.	PUNCT
can-1953	149	1	journal	journal	NOUN
can-1953	149	2	of	of	ADP
can-1953	149	3	statistical	statistical	ADJ
can-1953	149	4	physics	physic	NOUN
can-1953	149	5	2007	2007	NUM
can-1953	149	6	;	;	PUNCT
can-1953	149	7	127	127	NUM
can-1953	149	8	:	:	PUNCT
can-1953	150	1	915–934	915–934	NUM
can-1953	150	2	.	.	PUNCT
can-1953	150	3	doi	doi	NOUN
can-1953	150	4	:	:	PUNCT
can-1953	150	5	10.1007	10.1007	NUM
can-1953	150	6	/	/	SYM
can-1953	150	7	s10955	s10955	NOUN
can-1953	150	8	-	-	PUNCT
can-1953	150	9	007	007	NUM
can-1953	150	10	-	-	PUNCT
can-1953	150	11	9303	9303	NUM
can-1953	150	12	-	-	SYM
can-1953	150	13	3	3	NUM
can-1953	150	14	.	.	NOUN
can-1953	150	15	13	13	NUM
can-1953	150	16	.	.	PUNCT
can-1953	150	17	ramm	ramm	PROPN
can-1953	150	18	ag	ag	PROPN
can-1953	150	19	.	.	PUNCT
can-1953	150	20	distribution	distribution	NOUN
can-1953	150	21	of	of	ADP
can-1953	150	22	particles	particle	NOUN
can-1953	150	23	which	which	PRON
can-1953	150	24	produces	produce	VERB
can-1953	150	25	a	a	DET
can-1953	150	26	desired	desire	VERB
can-1953	150	27	radiation	radiation	NOUN
can-1953	150	28	pattern	pattern	NOUN
can-1953	150	29	.	.	PUNCT
can-1953	151	1	physica	physica	PROPN
can-1953	151	2	b	b	NOUN
can-1953	151	3	:	:	PUNCT
can-1953	151	4	condensed	condense	VERB
can-1953	151	5	matter	matter	NOUN
can-1953	151	6	2007	2007	NUM
can-1953	151	7	;	;	PUNCT
can-1953	151	8	394(2	394(2	NUM
can-1953	151	9	):	):	PUNCT
can-1953	151	10	253–255	253–255	NUM
can-1953	151	11	.	.	PUNCT
can-1953	152	1	doi	doi	NOUN
can-1953	152	2	:	:	PUNCT
can-1953	152	3	10.1016	10.1016	NUM
can-1953	152	4	/	/	SYM
can-1953	152	5	j.physb.2006.12.019	j.physb.2006.12.019	PROPN
can-1953	152	6	.	.	PUNCT
can-1953	153	1	14	14	NUM
can-1953	153	2	.	.	PUNCT
can-1953	153	3	ramm	ramm	PROPN
can-1953	153	4	ag	ag	PROPN
can-1953	153	5	.	.	PUNCT
can-1953	153	6	creating	create	VERB
can-1953	153	7	wave	wave	NOUN
can-1953	153	8	-	-	PUNCT
can-1953	153	9	focusing	focus	VERB
can-1953	153	10	materials	material	NOUN
can-1953	153	11	.	.	PUNCT
can-1953	154	1	latin	latin	PROPN
can-1953	154	2	american	american	PROPN
can-1953	154	3	journal	journal	PROPN
can-1953	154	4	of	of	ADP
can-1953	154	5	solids	solid	NOUN
can-1953	154	6	and	and	CCONJ
can-1953	154	7	structures	structure	NOUN
can-1953	154	8	2008	2008	NUM
can-1953	154	9	;	;	PUNCT
can-1953	154	10	5(2	5(2	NUM
can-1953	154	11	):	):	PUNCT
can-1953	154	12	119–127	119–127	NUM
can-1953	154	13	.	.	PUNCT
can-1953	155	1	15	15	NUM
can-1953	155	2	.	.	X
can-1953	155	3	ramm	ramm	PROPN
can-1953	155	4	ag	ag	PROPN
can-1953	155	5	.	.	PROPN
can-1953	155	6	electromagnetic	electromagnetic	ADJ
can-1953	155	7	wave	wave	NOUN
can-1953	155	8	scattering	scatter	VERB
can-1953	155	9	by	by	ADP
can-1953	155	10	small	small	ADJ
can-1953	155	11	bodies	body	NOUN
can-1953	155	12	.	.	PUNCT
can-1953	156	1	physics	physics	NOUN
can-1953	156	2	letters	letter	NOUN
can-1953	156	3	a	a	DET
can-1953	156	4	2008	2008	NUM
can-1953	156	5	;	;	PUNCT
can-1953	156	6	372(23	372(23	NOUN
can-1953	156	7	):	):	PUNCT
can-1953	156	8	4298–4306	4298–4306	NOUN
can-1953	156	9	.	.	PUNCT
can-1953	157	1	doi	doi	NOUN
can-1953	157	2	:	:	PUNCT
can-1953	157	3	10.1016	10.1016	NUM
can-1953	157	4	/	/	SYM
can-1953	157	5	j.physleta.2008.03.010	j.physleta.2008.03.010	NOUN
can-1953	157	6	.	.	PROPN
can-1953	158	1	16	16	NUM
can-1953	158	2	.	.	PUNCT
can-1953	159	1	ramm	ramm	PROPN
can-1953	159	2	ag	ag	PROPN
can-1953	159	3	.	.	PROPN
can-1953	159	4	wave	wave	NOUN
can-1953	159	5	scattering	scatter	VERB
can-1953	159	6	by	by	ADP
can-1953	159	7	many	many	ADJ
can-1953	159	8	small	small	ADJ
can-1953	159	9	particles	particle	NOUN
can-1953	159	10	embedded	embed	VERB
can-1953	159	11	in	in	ADP
can-1953	159	12	a	a	DET
can-1953	159	13	medium	medium	NOUN
can-1953	159	14	.	.	PUNCT
can-1953	160	1	physics	physics	NOUN
can-1953	160	2	letters	letter	NOUN
can-1953	160	3	a	a	DET
can-1953	160	4	2008	2008	NUM
can-1953	160	5	;	;	PUNCT
can-1953	160	6	372(17	372(17	NUM
can-1953	160	7	):	):	PUNCT
can-1953	160	8	3064–3070	3064–3070	NUM
can-1953	160	9	.	.	PUNCT
can-1953	161	1	doi	doi	NOUN
can-1953	161	2	:	:	PUNCT
can-1953	161	3	10.1016	10.1016	NUM
can-1953	161	4	/	/	SYM
can-1953	161	5	j.physleta.2008.01.006	j.physleta.2008.01.006	PROPN
can-1953	161	6	.	.	X
can-1953	162	1	17	17	NUM
can-1953	162	2	.	.	PUNCT
can-1953	163	1	ramm	ramm	PROPN
can-1953	163	2	ag	ag	PROPN
can-1953	163	3	.	.	PUNCT
can-1953	164	1	preparing	prepare	VERB
can-1953	164	2	materials	material	NOUN
can-1953	164	3	with	with	ADP
can-1953	164	4	a	a	DET
can-1953	164	5	desired	desire	VERB
can-1953	164	6	refraction	refraction	NOUN
can-1953	164	7	coefficient	coefficient	NOUN
can-1953	164	8	and	and	CCONJ
can-1953	164	9	applications	application	NOUN
can-1953	164	10	.	.	PUNCT
can-1953	165	1	in	in	ADP
can-1953	165	2	:	:	PUNCT
can-1953	165	3	skiadas	skiadas	PROPN
can-1953	165	4	c	c	PROPN
can-1953	165	5	,	,	PUNCT
can-1953	165	6	dimotikalis	dimotikalis	VERB
can-1953	165	7	i	i	PRON
can-1953	165	8	,	,	PUNCT
can-1953	165	9	skiadas	skiadas	PROPN
can-1953	165	10	c	c	PROPN
can-1953	165	11	(	(	PUNCT
can-1953	165	12	editors	editor	NOUN
can-1953	165	13	)	)	PUNCT
can-1953	165	14	.	.	PUNCT
can-1953	166	1	topics	topic	NOUN
can-1953	166	2	on	on	ADP
can-1953	166	3	chaotic	chaotic	ADJ
can-1953	166	4	systems	system	NOUN
can-1953	166	5	:	:	PUNCT
can-1953	166	6	selected	select	VERB
can-1953	166	7	papers	paper	NOUN
can-1953	166	8	from	from	ADP
can-1953	166	9	chaos	chaos	NOUN
can-1953	166	10	2008	2008	NUM
can-1953	166	11	international	international	ADJ
can-1953	166	12	conference	conference	NOUN
can-1953	166	13	.	.	PUNCT
can-1953	167	1	singapore	singapore	PROPN
can-1953	167	2	:	:	PUNCT
can-1953	167	3	world	world	NOUN
can-1953	167	4	scientific	scientific	PROPN
can-1953	167	5	publishing	publishing	PROPN
can-1953	167	6	co.	co.	PROPN
can-1953	167	7	pte	pte	PROPN
can-1953	167	8	.	.	PROPN
can-1953	167	9	ltd	ltd	PROPN
can-1953	167	10	.	.	PROPN
can-1953	167	11	;	;	PUNCT
can-1953	167	12	2009	2009	NUM
can-1953	167	13	.	.	PUNCT
can-1953	168	1	p.	p.	NOUN
can-1953	168	2	265–273	265–273	NUM
can-1953	168	3	.	.	PUNCT
can-1953	169	1	18	18	NUM
can-1953	169	2	.	.	X
can-1953	169	3	ramm	ramm	PROPN
can-1953	169	4	ag	ag	PROPN
can-1953	169	5	.	.	PUNCT
can-1953	170	1	preparing	prepare	VERB
can-1953	170	2	materials	material	NOUN
can-1953	170	3	with	with	ADP
can-1953	170	4	a	a	DET
can-1953	170	5	desired	desire	VERB
can-1953	170	6	refraction	refraction	NOUN
can-1953	170	7	coefficient	coefficient	NOUN
can-1953	170	8	.	.	PUNCT
can-1953	171	1	nonlinear	nonlinear	ADJ
can-1953	171	2	analysis	analysis	NOUN
can-1953	171	3	:	:	PUNCT
can-1953	171	4	theory	theory	NOUN
can-1953	171	5	,	,	PUNCT
can-1953	171	6	methods	method	NOUN
can-1953	171	7	&	&	CCONJ
can-1953	171	8	applications	application	NOUN
can-1953	171	9	2009	2009	NUM
can-1953	171	10	;	;	PUNCT
can-1953	171	11	71(12	71(12	NUM
can-1953	171	12	):	):	PUNCT
can-1953	171	13	e186	e186	PROPN
can-1953	171	14	–	–	PUNCT
can-1953	171	15	e190	e190	PROPN
can-1953	171	16	.	.	PUNCT
can-1953	171	17	doi	doi	PROPN
can-1953	171	18	:	:	PUNCT
can-1953	171	19	10.1016	10.1016	NUM
can-1953	171	20	/	/	SYM
can-1953	171	21	j.na.2008.10.011	j.na.2008.10.011	PROPN
can-1953	171	22	.	.	PROPN
can-1953	171	23	19	19	NUM
can-1953	171	24	.	.	X
can-1953	171	25	ramm	ramm	PROPN
can-1953	171	26	ag	ag	PROPN
can-1953	171	27	.	.	PUNCT
can-1953	172	1	creating	create	VERB
can-1953	172	2	desired	desire	VERB
can-1953	172	3	potentials	potential	NOUN
can-1953	172	4	by	by	ADP
can-1953	172	5	embedding	embed	VERB
can-1953	172	6	small	small	ADJ
can-1953	172	7	inhomogeneities	inhomogeneity	NOUN
can-1953	172	8	.	.	PUNCT
can-1953	173	1	journal	journal	PROPN
can-1953	173	2	of	of	ADP
can-1953	173	3	mathematical	mathematical	ADJ
can-1953	173	4	physics	physics	NOUN
can-1953	173	5	2009	2009	NUM
can-1953	173	6	;	;	PUNCT
can-1953	173	7	50	50	NUM
can-1953	173	8	:	:	SYM
can-1953	173	9	123525	123525	NUM
can-1953	173	10	.	.	PUNCT
can-1953	174	1	doi	doi	NOUN
can-1953	174	2	:	:	PUNCT
can-1953	174	3	10.1063/1.3267887	10.1063/1.3267887	NUM
can-1953	174	4	.	.	PUNCT
can-1953	175	1	20	20	NUM
can-1953	175	2	.	.	PUNCT
can-1953	175	3	ramm	ramm	PROPN
can-1953	175	4	ag	ag	PROPN
can-1953	175	5	.	.	PUNCT
can-1953	176	1	a	a	DET
can-1953	176	2	method	method	NOUN
can-1953	176	3	for	for	ADP
can-1953	176	4	creating	create	VERB
can-1953	176	5	materials	material	NOUN
can-1953	176	6	with	with	ADP
can-1953	176	7	a	a	DET
can-1953	176	8	desired	desire	VERB
can-1953	176	9	refraction	refraction	NOUN
can-1953	176	10	coefficient	coefficient	NOUN
can-1953	176	11	.	.	PUNCT
can-1953	177	1	international	international	ADJ
can-1953	177	2	journal	journal	PROPN
can-1953	177	3	of	of	ADP
can-1953	177	4	modern	modern	ADJ
can-1953	177	5	physics	physics	PROPN
can-1953	177	6	b	b	PROPN
can-1953	177	7	2010	2010	NUM
can-1953	177	8	;	;	PUNCT
can-1953	177	9	24(27	24(27	NUM
can-1953	177	10	):	):	PUNCT
can-1953	177	11	5261–5268	5261–5268	NUM
can-1953	177	12	.	.	PUNCT
can-1953	178	1	doi	doi	NOUN
can-1953	178	2	:	:	PUNCT
can-1953	178	3	10.1142	10.1142	NUM
can-1953	178	4	/	/	SYM
can-1953	178	5	s0217979210056074	s0217979210056074	NOUN
can-1953	178	6	.	.	PUNCT
can-1953	179	1	21	21	NUM
can-1953	179	2	.	.	PUNCT
can-1953	179	3	ramm	ramm	PROPN
can-1953	179	4	ag	ag	PROPN
can-1953	179	5	.	.	PUNCT
can-1953	179	6	materials	material	NOUN
can-1953	179	7	with	with	ADP
can-1953	179	8	a	a	DET
can-1953	179	9	desired	desire	VERB
can-1953	179	10	refraction	refraction	NOUN
can-1953	179	11	coefficient	coefficient	NOUN
can-1953	179	12	can	can	AUX
can-1953	179	13	be	be	AUX
can-1953	179	14	created	create	VERB
can-1953	179	15	by	by	ADP
can-1953	179	16	embedding	embed	VERB
can-1953	179	17	small	small	ADJ
can-1953	179	18	particles	particle	NOUN
can-1953	179	19	into	into	ADP
can-1953	179	20	a	a	DET
can-1953	179	21	given	give	VERB
can-1953	179	22	material	material	NOUN
can-1953	179	23	.	.	PUNCT
can-1953	180	1	international	international	ADJ
can-1953	180	2	journal	journal	PROPN
can-1953	180	3	of	of	ADP
can-1953	180	4	structural	structural	ADJ
can-1953	180	5	changes	change	NOUN
can-1953	180	6	in	in	ADP
can-1953	180	7	solids	solid	NOUN
can-1953	180	8	2010	2010	NUM
can-1953	180	9	;	;	PUNCT
can-1953	180	10	2(2	2(2	NUM
can-1953	180	11	):	):	PUNCT
can-1953	180	12	17–23	17–23	NUM
can-1953	180	13	.	.	PUNCT
can-1953	181	1	22	22	NUM
can-1953	181	2	.	.	PUNCT
can-1953	182	1	ramm	ramm	PROPN
can-1953	182	2	ag	ag	PROPN
can-1953	182	3	.	.	PROPN
can-1953	182	4	wave	wave	NOUN
can-1953	182	5	scattering	scatter	VERB
can-1953	182	6	by	by	ADP
can-1953	182	7	many	many	ADJ
can-1953	182	8	small	small	ADJ
can-1953	182	9	bodies	body	NOUN
can-1953	182	10	and	and	CCONJ
can-1953	182	11	creating	create	VERB
can-1953	182	12	materials	material	NOUN
can-1953	182	13	with	with	ADP
can-1953	182	14	a	a	DET
can-1953	182	15	desired	desire	VERB
can-1953	182	16	refraction	refraction	NOUN
can-1953	182	17	coefficient	coefficient	NOUN
can-1953	182	18	.	.	PUNCT
can-1953	183	1	afrika	afrika	PROPN
can-1953	183	2	matematika	matematika	PROPN
can-1953	183	3	2011	2011	NUM
can-1953	183	4	;	;	PUNCT
can-1953	183	5	22	22	NUM
can-1953	183	6	:	:	PUNCT
can-1953	183	7	33–55	33–55	NUM
can-1953	183	8	.	.	PUNCT
can-1953	184	1	doi	doi	NOUN
can-1953	184	2	:	:	PUNCT
can-1953	184	3	10.1007	10.1007	NUM
can-1953	184	4	/	/	SYM
can-1953	184	5	s13370	s13370	NOUN
can-1953	184	6	-	-	PUNCT
can-1953	184	7	011	011	NUM
can-1953	184	8	-	-	PUNCT
can-1953	184	9	0004	0004	NUM
can-1953	184	10	-	-	PUNCT
can-1953	184	11	3	3	NUM
can-1953	184	12	.	.	NOUN
can-1953	184	13	23	23	NUM
can-1953	184	14	.	.	PUNCT
can-1953	185	1	ramm	ramm	PROPN
can-1953	185	2	ag	ag	PROPN
can-1953	185	3	.	.	PUNCT
can-1953	185	4	scattering	scatter	VERB
can-1953	185	5	by	by	ADP
can-1953	185	6	many	many	ADJ
can-1953	185	7	small	small	ADJ
can-1953	185	8	inhomogeneities	inhomogeneity	NOUN
can-1953	185	9	and	and	CCONJ
can-1953	185	10	applications	application	NOUN
can-1953	185	11	.	.	PUNCT
can-1953	186	1	in	in	ADP
can-1953	186	2	:	:	PUNCT
can-1953	186	3	skiadas	skiadas	PROPN
can-1953	186	4	c	c	PROPN
can-1953	186	5	,	,	PUNCT
can-1953	186	6	dimotikalis	dimotikalis	VERB
can-1953	186	7	i	i	PRON
can-1953	186	8	,	,	PUNCT
can-1953	186	9	skiadas	skiadas	PROPN
can-1953	186	10	c	c	PROPN
can-1953	186	11	(	(	PUNCT
can-1953	186	12	editors	editor	NOUN
can-1953	186	13	)	)	PUNCT
can-1953	186	14	.	.	PUNCT
can-1953	187	1	topics	topic	NOUN
can-1953	187	2	on	on	ADP
can-1953	187	3	chaotic	chaotic	ADJ
can-1953	187	4	systems	system	NOUN
can-1953	187	5	:	:	PUNCT
can-1953	187	6	selected	select	VERB
can-1953	187	7	papers	paper	NOUN
can-1953	187	8	from	from	ADP
can-1953	187	9	chaos	chaos	NOUN
can-1953	187	10	2010	2010	NUM
can-1953	187	11	international	international	ADJ
can-1953	187	12	conference	conference	NOUN
can-1953	187	13	.	.	PUNCT
can-1953	188	1	singapore	singapore	PROPN
can-1953	188	2	:	:	PUNCT
can-1953	188	3	world	world	NOUN
can-1953	188	4	scientific	scientific	PROPN
can-1953	188	5	publishing	publishing	PROPN
can-1953	188	6	co.	co.	PROPN
can-1953	188	7	pte	pte	PROPN
can-1953	188	8	.	.	PROPN
can-1953	188	9	ltd	ltd	PROPN
can-1953	188	10	.	.	PROPN
can-1953	188	11	;	;	PUNCT
can-1953	188	12	2011	2011	NUM
can-1953	188	13	.	.	PUNCT
can-1953	189	1	p.	p.	NOUN
can-1953	189	2	41–52	41–52	NUM
can-1953	189	3	.	.	PUNCT
can-1953	190	1	24	24	NUM
can-1953	190	2	.	.	PUNCT
can-1953	190	3	ramm	ramm	PROPN
can-1953	190	4	ag	ag	PROPN
can-1953	190	5	.	.	PROPN
can-1953	190	6	collocation	collocation	NOUN
can-1953	190	7	method	method	NOUN
can-1953	190	8	for	for	ADP
can-1953	190	9	solving	solve	VERB
can-1953	190	10	some	some	DET
can-1953	190	11	integral	integral	ADJ
can-1953	190	12	equations	equation	NOUN
can-1953	190	13	of	of	ADP
can-1953	190	14	estimation	estimation	NOUN
can-1953	190	15	theory	theory	NOUN
can-1953	190	16	.	.	PUNCT
can-1953	191	1	international	international	ADJ
can-1953	191	2	journal	journal	NOUN
can-1953	191	3	of	of	ADP
can-1953	191	4	pure	pure	ADJ
can-1953	191	5	and	and	CCONJ
can-1953	191	6	applied	applied	ADJ
can-1953	191	7	mathematics	mathematic	NOUN
can-1953	191	8	2010	2010	NUM
can-1953	191	9	;	;	PUNCT
can-1953	191	10	62(1	62(1	NUM
can-1953	191	11	):	):	PUNCT
can-1953	191	12	57–65	57–65	NUM
can-1953	191	13	.	.	PUNCT
can-1953	192	1	doi	doi	NOUN
can-1953	192	2	:	:	PUNCT
can-1953	192	3	10.1504	10.1504	NUM
can-1953	192	4	/	/	SYM
can-1953	192	5	ijcsm.2009.027874	ijcsm.2009.027874	NOUN
can-1953	192	6	.	.	PUNCT
can-1953	193	1	25	25	NUM
can-1953	193	2	.	.	PUNCT
can-1953	193	3	ramm	ramm	PROPN
can-1953	193	4	ag	ag	PROPN
can-1953	193	5	.	.	PROPN
can-1953	193	6	electromagnetic	electromagnetic	ADJ
can-1953	193	7	wave	wave	NOUN
can-1953	193	8	scattering	scatter	VERB
can-1953	193	9	by	by	ADP
can-1953	193	10	a	a	DET
can-1953	193	11	small	small	ADJ
can-1953	193	12	impedance	impedance	NOUN
can-1953	193	13	particle	particle	NOUN
can-1953	193	14	of	of	ADP
can-1953	193	15	arbitrary	arbitrary	ADJ
can-1953	193	16	shape	shape	NOUN
can-1953	193	17	.	.	PUNCT
can-1953	194	1	optics	optic	NOUN
can-1953	194	2	communications	communication	NOUN
can-1953	194	3	2011	2011	NUM
can-1953	194	4	;	;	PUNCT
can-1953	194	5	284(16	284(16	NUM
can-1953	194	6	-	-	SYM
can-1953	194	7	17	17	NUM
can-1953	194	8	):	):	PUNCT
can-1953	194	9	3872–3877	3872–3877	NUM
can-1953	194	10	.	.	PUNCT
can-1953	195	1	doi	doi	NOUN
can-1953	195	2	:	:	PUNCT
can-1953	195	3	10.1016	10.1016	NUM
can-1953	195	4	/	/	SYM
can-1953	195	5	j.optcom.2011.04.035	j.optcom.2011.04.035	PROPN
can-1953	195	6	.	.	PROPN
can-1953	196	1	26	26	NUM
can-1953	196	2	.	.	PUNCT
can-1953	196	3	ramm	ramm	PROPN
can-1953	196	4	ag	ag	PROPN
can-1953	196	5	.	.	PUNCT
can-1953	196	6	scattering	scatter	VERB
can-1953	196	7	of	of	ADP
can-1953	196	8	scalar	scalar	ADJ
can-1953	196	9	waves	wave	NOUN
can-1953	196	10	by	by	ADP
can-1953	196	11	many	many	ADJ
can-1953	196	12	small	small	ADJ
can-1953	196	13	particles	particle	NOUN
can-1953	196	14	.	.	PUNCT
can-1953	197	1	aip	aip	PROPN
can-1953	197	2	advances	advance	VERB
can-1953	197	3	2011	2011	NUM
can-1953	197	4	;	;	PUNCT
can-1953	197	5	1(2	1(2	NUM
can-1953	197	6	):	):	PUNCT
can-1953	197	7	022135	022135	NUM
can-1953	197	8	.	.	PUNCT
can-1953	198	1	doi	doi	NOUN
can-1953	198	2	:	:	PUNCT
can-1953	198	3	10.1063/1.3600704	10.1063/1.3600704	NUM
can-1953	198	4	.	.	PUNCT
can-1953	199	1	27	27	NUM
can-1953	199	2	.	.	PUNCT
can-1953	199	3	ramm	ramm	PROPN
can-1953	199	4	ag	ag	PROPN
can-1953	199	5	.	.	PUNCT
can-1953	199	6	scattering	scatter	VERB
can-1953	199	7	of	of	ADP
can-1953	199	8	electromagnetic	electromagnetic	ADJ
can-1953	199	9	waves	wave	NOUN
can-1953	199	10	by	by	ADP
can-1953	199	11	many	many	ADJ
can-1953	199	12	thin	thin	ADJ
can-1953	199	13	cylinders	cylinder	NOUN
can-1953	199	14	.	.	PUNCT
can-1953	200	1	results	result	NOUN
can-1953	200	2	in	in	ADP
can-1953	200	3	physics	physics	NOUN
can-1953	200	4	2011	2011	NUM
can-1953	200	5	;	;	PUNCT
can-1953	200	6	1(1	1(1	NUM
can-1953	200	7	):	):	PUNCT
can-1953	200	8	13–16	13–16	NUM
can-1953	200	9	.	.	PUNCT
can-1953	201	1	doi	doi	NOUN
can-1953	201	2	:	:	PUNCT
can-1953	201	3	10.1016	10.1016	NUM
can-1953	201	4	/	/	SYM
can-1953	201	5	j.rinp.2011.05.002	j.rinp.2011.05.002	NOUN
can-1953	201	6	.	.	PROPN
can-1953	202	1	28	28	NUM
can-1953	202	2	.	.	PUNCT
can-1953	202	3	ramm	ramm	PROPN
can-1953	202	4	ag	ag	PROPN
can-1953	202	5	.	.	PROPN
can-1953	203	1	electromagnetic	electromagnetic	ADJ
can-1953	203	2	wave	wave	NOUN
can-1953	203	3	scattering	scatter	VERB
can-1953	203	4	by	by	ADP
can-1953	203	5	many	many	ADJ
can-1953	203	6	small	small	ADJ
can-1953	203	7	perfectly	perfectly	ADV
can-1953	203	8	conducting	conduct	VERB
can-1953	203	9	particles	particle	NOUN
can-1953	203	10	of	of	ADP
can-1953	203	11	an	an	DET
can-1953	203	12	arbitrary	arbitrary	ADJ
can-1953	203	13	shape	shape	NOUN
can-1953	203	14	.	.	PUNCT
can-1953	204	1	optics	optic	NOUN
can-1953	204	2	communications	communication	NOUN
can-1953	204	3	2012	2012	NUM
can-1953	204	4	;	;	PUNCT
can-1953	204	5	285(18	285(18	NUM
can-1953	204	6	):	):	PUNCT
can-1953	204	7	3679–3683	3679–3683	NUM
can-1953	204	8	.	.	PUNCT
can-1953	205	1	doi	doi	NOUN
can-1953	205	2	:	:	PUNCT
can-1953	205	3	10.1016	10.1016	NUM
can-1953	205	4	/	/	SYM
can-1953	205	5	j.optcom.2012.05.010	j.optcom.2012.05.010	PROPN
can-1953	205	6	.	.	PUNCT
can-1953	206	1	29	29	NUM
can-1953	206	2	.	.	PUNCT
can-1953	207	1	ramm	ramm	PROPN
can-1953	207	2	ag	ag	PROPN
can-1953	207	3	.	.	PROPN
can-1953	207	4	electromagnetic	electromagnetic	ADJ
can-1953	207	5	wave	wave	NOUN
can-1953	207	6	scattering	scatter	VERB
can-1953	207	7	by	by	ADP
can-1953	207	8	small	small	ADJ
can-1953	207	9	impedance	impedance	NOUN
can-1953	207	10	particles	particle	NOUN
can-1953	207	11	of	of	ADP
can-1953	207	12	an	an	DET
can-1953	207	13	arbitrary	arbitrary	ADJ
can-1953	207	14	shape	shape	NOUN
can-1953	207	15	.	.	PUNCT
can-1953	208	1	journal	journal	NOUN
can-1953	208	2	of	of	ADP
can-1953	208	3	applied	apply	VERB
can-1953	208	4	mathematics	mathematic	NOUN
can-1953	208	5	and	and	CCONJ
can-1953	208	6	computing	computing	NOUN
can-1953	208	7	2013	2013	NUM
can-1953	208	8	;	;	PUNCT
can-1953	208	9	43(1	43(1	NUM
can-1953	208	10	):	):	PUNCT
can-1953	208	11	427–444	427–444	NUM
can-1953	208	12	.	.	PUNCT
can-1953	209	1	doi	doi	NOUN
can-1953	209	2	:	:	PUNCT
can-1953	209	3	10.1007	10.1007	NUM
can-1953	209	4	/	/	SYM
can-1953	209	5	s12190	s12190	NOUN
can-1953	209	6	-	-	PUNCT
can-1953	209	7	013	013	NUM
can-1953	209	8	-	-	PUNCT
can-1953	209	9	0671	0671	NUM
can-1953	209	10	-	-	SYM
can-1953	209	11	3	3	NUM
can-1953	209	12	.	.	NOUN
can-1953	209	13	30	30	NUM
can-1953	209	14	.	.	PUNCT
can-1953	210	1	ramm	ramm	PROPN
can-1953	210	2	ag	ag	PROPN
can-1953	210	3	.	.	PUNCT
can-1953	211	1	many	many	ADJ
can-1953	211	2	-	-	PUNCT
can-1953	211	3	body	body	NOUN
can-1953	211	4	wave	wave	NOUN
can-1953	211	5	scattering	scatter	VERB
can-1953	211	6	problems	problem	NOUN
can-1953	211	7	in	in	ADP
can-1953	211	8	the	the	DET
can-1953	211	9	case	case	NOUN
can-1953	211	10	of	of	ADP
can-1953	211	11	small	small	ADJ
can-1953	211	12	scatterers	scatterer	NOUN
can-1953	211	13	.	.	PUNCT
can-1953	212	1	journal	journal	NOUN
can-1953	212	2	of	of	ADP
can-1953	212	3	applied	apply	VERB
can-1953	212	4	mathematics	mathematic	NOUN
can-1953	212	5	and	and	CCONJ
can-1953	212	6	computing	computing	NOUN
can-1953	212	7	2013	2013	NUM
can-1953	212	8	;	;	PUNCT
can-1953	212	9	41(1	41(1	NUM
can-1953	212	10	):	):	PUNCT
can-1953	212	11	473–500	473–500	NUM
can-1953	212	12	.	.	PUNCT
can-1953	213	1	doi	doi	NOUN
can-1953	213	2	:	:	PUNCT
can-1953	213	3	10.1007	10.1007	NUM
can-1953	213	4	/	/	SYM
can-1953	213	5	s12190	s12190	NOUN
can-1953	213	6	-	-	PUNCT
can-1953	213	7	012	012	NUM
can-1953	213	8	-	-	PUNCT
can-1953	213	9	0609	0609	NUM
can-1953	213	10	-	-	SYM
can-1953	213	11	1	1	NUM
can-1953	213	12	31	31	NUM
can-1953	213	13	.	.	PUNCT
can-1953	214	1	ramm	ramm	PROPN
can-1953	214	2	ag	ag	PROPN
can-1953	214	3	.	.	PUNCT
can-1953	214	4	scattering	scatter	VERB
can-1953	214	5	of	of	ADP
can-1953	214	6	acoustic	acoustic	ADJ
can-1953	214	7	and	and	CCONJ
can-1953	214	8	electromagnetic	electromagnetic	ADJ
can-1953	214	9	waves	wave	NOUN
can-1953	214	10	by	by	ADP
can-1953	214	11	small	small	ADJ
can-1953	214	12	bodies	body	NOUN
can-1953	214	13	of	of	ADP
can-1953	214	14	arbitrary	arbitrary	ADJ
can-1953	214	15	shapes	shape	NOUN
can-1953	214	16	.	.	PUNCT
can-1953	215	1	applications	application	NOUN
can-1953	215	2	to	to	ADP
can-1953	215	3	creating	create	VERB
can-1953	215	4	new	new	ADJ
can-1953	215	5	engineered	engineer	VERB
can-1953	215	6	materials	material	NOUN
can-1953	215	7	.	.	PUNCT
can-1953	216	1	new	new	PROPN
can-1953	216	2	york	york	PROPN
can-1953	216	3	:	:	PUNCT
can-1953	216	4	momentum	momentum	NOUN
can-1953	216	5	press	press	NOUN
can-1953	216	6	;	;	PUNCT
can-1953	216	7	2013	2013	NUM
can-1953	216	8	.	.	PUNCT
can-1953	217	1	p.	p.	NOUN
can-1953	217	2	260	260	NUM
can-1953	217	3	.	.	PUNCT
can-1953	217	4	32	32	NUM
can-1953	217	5	.	.	PUNCT
can-1953	218	1	ramm	ramm	PROPN
can-1953	218	2	ag	ag	PROPN
can-1953	218	3	.	.	PUNCT
can-1953	218	4	creating	create	VERB
can-1953	218	5	materials	material	NOUN
can-1953	218	6	with	with	ADP
can-1953	218	7	a	a	DET
can-1953	218	8	desired	desire	VERB
can-1953	218	9	refraction	refraction	NOUN
can-1953	218	10	coefficient	coefficient	NOUN
can-1953	218	11	.	.	PUNCT
can-1953	219	1	doi	doi	NOUN
can-1953	219	2	:	:	PUNCT
can-1953	219	3	10.1088/978	10.1088/978	NUM
can-1953	219	4	-	-	SYM
can-1953	219	5	1	1	NUM
can-1953	219	6	-	-	PUNCT
can-1953	219	7	6817	6817	NUM
can-1953	219	8	-	-	PUNCT
can-1953	219	9	4708	4708	NUM
can-1953	219	10	-	-	SYM
can-1953	219	11	8	8	NUM
can-1953	219	12	.	.	PUNCT
can-1953	220	1	san	san	PROPN
can-1953	220	2	rafael	rafael	PROPN
can-1953	220	3	,	,	PUNCT
can-1953	220	4	california	california	PROPN
can-1953	220	5	:	:	PUNCT
can-1953	220	6	iop	iop	PROPN
can-1953	220	7	concise	concise	PROPN
can-1953	220	8	physics	physics	PROPN
can-1953	220	9	,	,	PUNCT
can-1953	220	10	morgan	morgan	PROPN
can-1953	220	11	&	&	CCONJ
can-1953	220	12	claypool	claypool	PROPN
can-1953	220	13	publishers	publisher	NOUN
can-1953	220	14	;	;	PUNCT
can-1953	220	15	2017	2017	NUM
can-1953	220	16	.	.	PUNCT
can-1953	221	1	33	33	NUM
can-1953	221	2	.	.	PUNCT
can-1953	221	3	ramm	ramm	PROPN
can-1953	221	4	ag	ag	PROPN
can-1953	221	5	.	.	PUNCT
can-1953	222	1	creating	create	VERB
can-1953	222	2	materials	material	NOUN
can-1953	222	3	with	with	ADP
can-1953	222	4	a	a	DET
can-1953	222	5	desired	desire	VERB
can-1953	222	6	refraction	refraction	NOUN
can-1953	222	7	coefficient	coefficient	NOUN
can-1953	222	8	.	.	PUNCT
can-1953	223	1	2nd	2nd	ADJ
can-1953	223	2	ed	ed	NOUN
can-1953	223	3	.	.	PUNCT
can-1953	224	1	bristol	bristol	PROPN
can-1953	224	2	,	,	PUNCT
can-1953	224	3	uk	uk	PROPN
can-1953	224	4	:	:	PUNCT
can-1953	224	5	iop	iop	NOUN
can-1953	224	6	publishing	publishing	NOUN
can-1953	224	7	;	;	PUNCT
can-1953	224	8	2020	2020	NUM
can-1953	224	9	.	.	PUNCT
can-1953	225	1	doi	doi	NOUN
can-1953	225	2	:	:	PUNCT
can-1953	225	3	10.1088/978	10.1088/978	NUM
can-1953	225	4	-	-	SYM
can-1953	225	5	0	0	NUM
can-1953	225	6	-	-	PUNCT
can-1953	225	7	7503	7503	NUM
can-1953	225	8	-	-	PUNCT
can-1953	225	9	3391	3391	NUM
can-1953	225	10	-	-	SYM
can-1953	225	11	7	7	NUM
can-1953	225	12	.	.	NOUN
can-1953	225	13	34	34	NUM
can-1953	225	14	.	.	PUNCT
can-1953	225	15	ramm	ramm	PROPN
can-1953	225	16	ag	ag	PROPN
can-1953	225	17	.	.	PUNCT
can-1953	226	1	how	how	SCONJ
can-1953	226	2	can	can	AUX
can-1953	226	3	one	one	PRON
can-1953	226	4	create	create	VERB
can-1953	226	5	a	a	DET
can-1953	226	6	material	material	NOUN
can-1953	226	7	with	with	ADP
can-1953	226	8	a	a	DET
can-1953	226	9	prescribed	prescribed	ADJ
can-1953	226	10	refraction	refraction	NOUN
can-1953	226	11	coefficient	coefficient	NOUN
can-1953	226	12	?	?	PUNCT
can-1953	227	1	sun	sun	NOUN
can-1953	227	2	text	text	NOUN
can-1953	227	3	review	review	NOUN
can-1953	227	4	of	of	ADP
can-1953	227	5	material	material	NOUN
can-1953	227	6	science	science	NOUN
can-1953	227	7	2020	2020	NUM
can-1953	227	8	;	;	PUNCT
can-1953	227	9	1(1	1(1	NUM
can-1953	227	10	):	):	PUNCT
can-1953	227	11	102	102	NUM
can-1953	227	12	.	.	PUNCT
can-1953	228	1	doi	doi	NOUN
can-1953	228	2	:	:	PUNCT
can-1953	228	3	10.51737/2766	10.51737/2766	NUM
can-1953	228	4	-	-	SYM
can-1953	228	5	5100.2020.002	5100.2020.002	NUM
can-1953	228	6	.	.	NOUN
can-1953	228	7	35	35	NUM
can-1953	228	8	.	.	PUNCT
can-1953	229	1	ramm	ramm	PROPN
can-1953	229	2	ag	ag	PROPN
can-1953	229	3	.	.	PUNCT
can-1953	229	4	scattering	scatter	VERB
can-1953	229	5	by	by	ADP
can-1953	229	6	obstacles	obstacle	NOUN
can-1953	229	7	and	and	CCONJ
can-1953	229	8	potentials	potential	NOUN
can-1953	229	9	,	,	PUNCT
can-1953	229	10	singapore	singapore	PROPN
can-1953	229	11	:	:	PUNCT
can-1953	229	12	world	world	NOUN
can-1953	229	13	scientific	scientific	PROPN
can-1953	229	14	publishing	publishing	PROPN
can-1953	229	15	co.	co.	PROPN
can-1953	229	16	pte	pte	PROPN
can-1953	229	17	.	.	PROPN
can-1953	229	18	ltd	ltd	PROPN
can-1953	229	19	.	.	PROPN
can-1953	229	20	;	;	PUNCT
can-1953	229	21	2017	2017	NUM
can-1953	229	22	.	.	PUNCT
can-1953	230	1	p.	p.	NOUN
can-1953	230	2	620	620	NUM
can-1953	230	3	.	.	PUNCT
can-1953	231	1	doi	doi	NOUN
can-1953	231	2	:	:	PUNCT
can-1953	231	3	10.1142/10473	10.1142/10473	NUM
can-1953	231	4	.	.	X
can-1953	232	1	36	36	NUM
can-1953	232	2	.	.	PUNCT
can-1953	232	3	ramm	ramm	PROPN
can-1953	232	4	ag	ag	PROPN
can-1953	232	5	,	,	PUNCT
can-1953	232	6	tran	tran	PROPN
can-1953	232	7	n.	n.	PROPN
can-1953	232	8	a	a	DET
can-1953	232	9	fast	fast	ADJ
can-1953	232	10	algorithm	algorithm	NOUN
can-1953	232	11	for	for	ADP
can-1953	232	12	solving	solve	VERB
can-1953	232	13	scalar	scalar	ADJ
can-1953	232	14	wave	wave	NOUN
can-1953	232	15	scattering	scattering	NOUN
can-1953	232	16	problem	problem	NOUN
can-1953	232	17	by	by	ADP
can-1953	232	18	billions	billion	NOUN
can-1953	232	19	of	of	ADP
can-1953	232	20	particles	particle	NOUN
can-1953	232	21	.	.	PUNCT
can-1953	233	1	journal	journal	NOUN
can-1953	233	2	of	of	ADP
can-1953	233	3	algorithms	algorithm	NOUN
can-1953	233	4	and	and	CCONJ
can-1953	233	5	optimization	optimization	NOUN
can-1953	233	6	2015	2015	NUM
can-1953	233	7	;	;	PUNCT
can-1953	233	8	3(1	3(1	NUM
can-1953	233	9	):	):	PUNCT
can-1953	233	10	1–13	1–13	NOUN
can-1953	233	11	.	.	PUNCT
can-1953	234	1	37	37	NUM
can-1953	234	2	.	.	PUNCT
can-1953	234	3	andriychuk	andriychuk	PROPN
can-1953	234	4	mi	mi	PROPN
can-1953	234	5	,	,	PUNCT
can-1953	234	6	ramm	ramm	PROPN
can-1953	234	7	ag	ag	PROPN
can-1953	234	8	.	.	PROPN
can-1953	234	9	numerical	numerical	PROPN
can-1953	234	10	solution	solution	NOUN
can-1953	234	11	of	of	ADP
can-1953	234	12	many	many	ADJ
can-1953	234	13	-	-	PUNCT
can-1953	234	14	body	body	NOUN
can-1953	234	15	wave	wave	NOUN
can-1953	234	16	scattering	scattering	NOUN
can-1953	234	17	problem	problem	NOUN
can-1953	234	18	for	for	ADP
can-1953	234	19	small	small	ADJ
can-1953	234	20	particles	particle	NOUN
can-1953	234	21	and	and	CCONJ
can-1953	234	22	creating	create	VERB
can-1953	234	23	materials	material	NOUN
can-1953	234	24	with	with	ADP
can-1953	234	25	desired	desire	VERB
can-1953	234	26	refraction	refraction	NOUN
can-1953	234	27	coefficient	coefficient	NOUN
can-1953	234	28	.	.	PUNCT
can-1953	235	1	in	in	ADP
can-1953	235	2	:	:	PUNCT
can-1953	235	3	awrejcewicz	awrejcewicz	PROPN
can-1953	235	4	j	j	PROPN
can-1953	235	5	(	(	PUNCT
can-1953	235	6	editor	editor	NOUN
can-1953	235	7	)	)	PUNCT
can-1953	235	8	.	.	PUNCT
can-1953	236	1	numerical	numerical	ADJ
can-1953	236	2	simulations	simulation	NOUN
can-1953	236	3	of	of	ADP
can-1953	236	4	physical	physical	ADJ
can-1953	236	5	and	and	CCONJ
can-1953	236	6	engineering	engineering	NOUN
can-1953	236	7	processes	process	NOUN
can-1953	236	8	.	.	PUNCT
can-1953	237	1	london	london	PROPN
can-1953	237	2	:	:	PUNCT
can-1953	237	3	intechopen	intechopen	ADJ
can-1953	237	4	;	;	PUNCT
can-1953	237	5	2011	2011	NUM
can-1953	237	6	.	.	PUNCT
can-1953	238	1	p.	p.	NOUN
can-1953	238	2	1–28	1–28	PROPN
can-1953	238	3	.	.	PUNCT
can-1953	239	1	doi	doi	NOUN
can-1953	239	2	:	:	PUNCT
can-1953	239	3	10.5772/24495	10.5772/24495	NUM
can-1953	239	4	.	.	PROPN
can-1953	240	1	38	38	NUM
can-1953	240	2	.	.	PUNCT
can-1953	240	3	andriychuk	andriychuk	PROPN
can-1953	240	4	m	m	PROPN
can-1953	240	5	,	,	PUNCT
can-1953	240	6	ramm	ramm	PROPN
can-1953	240	7	ag	ag	PROPN
can-1953	240	8	.	.	PUNCT
can-1953	240	9	scattering	scatter	VERB
can-1953	240	10	of	of	ADP
can-1953	240	11	electromagnetic	electromagnetic	ADJ
can-1953	240	12	waves	wave	NOUN
can-1953	240	13	by	by	ADP
can-1953	240	14	many	many	ADJ
can-1953	240	15	thin	thin	ADJ
can-1953	240	16	cylinders	cylinder	NOUN
can-1953	240	17	:	:	PUNCT
can-1953	240	18	theory	theory	NOUN
can-1953	240	19	and	and	CCONJ
can-1953	240	20	computational	computational	ADJ
can-1953	240	21	modeling	modeling	NOUN
can-1953	240	22	,	,	PUNCT
can-1953	240	23	optics	optic	NOUN
can-1953	240	24	communications	communication	NOUN
can-1953	240	25	2012	2012	NUM
can-1953	240	26	;	;	PUNCT
can-1953	240	27	285(20	285(20	NUM
can-1953	240	28	):	):	PUNCT
can-1953	240	29	4019–4026	4019–4026	NUM
can-1953	240	30	.	.	PUNCT
can-1953	241	1	doi	doi	NOUN
can-1953	241	2	:	:	PUNCT
can-1953	241	3	10.1016	10.1016	NUM
can-1953	241	4	/	/	SYM
can-1953	241	5	j.optcom.2012.06.017	j.optcom.2012.06.017	X
can-1953	241	6	.	.	PUNCT