id	sid	tid	token	lemma	pos
cet-2332	1	1	chemical	chemical	NOUN
cet-2332	1	2	engineering	engineering	NOUN
cet-2332	1	3	transactions	transaction	NOUN
cet-2332	1	4	vol	vol	NOUN
cet-2332	1	5	.	.	PROPN
cet-2332	1	6	57	57	NUM
cet-2332	1	7	,	,	PUNCT
cet-2332	1	8	2017	2017	NUM
cet-2332	1	9	a	a	DET
cet-2332	1	10	publication	publication	NOUN
cet-2332	1	11	of	of	ADP
cet-2332	1	12	the	the	DET
cet-2332	1	13	italian	italian	ADJ
cet-2332	1	14	association	association	NOUN
cet-2332	1	15	of	of	ADP
cet-2332	1	16	chemical	chemical	PROPN
cet-2332	1	17	engineering	engineering	NOUN
cet-2332	1	18	online	online	ADV
cet-2332	1	19	at	at	ADP
cet-2332	1	20	www.aidic.it/cet	www.aidic.it/cet	PROPN
cet-2332	1	21	guest	guest	NOUN
cet-2332	1	22	editors	editor	NOUN
cet-2332	1	23	:	:	PUNCT
cet-2332	1	24	sauro	sauro	PROPN
cet-2332	1	25	pierucci	pierucci	PROPN
cet-2332	1	26	,	,	PUNCT
cet-2332	1	27	jiří	jiří	NOUN
cet-2332	1	28	jaromír	jaromír	PROPN
cet-2332	1	29	klemeš	klemeš	PROPN
cet-2332	1	30	,	,	PUNCT
cet-2332	1	31	laura	laura	PROPN
cet-2332	1	32	piazza	piazza	PROPN
cet-2332	1	33	,	,	PUNCT
cet-2332	1	34	serafim	serafim	NOUN
cet-2332	1	35	bakalis	bakali	VERB
cet-2332	1	36	copyright	copyright	NOUN
cet-2332	1	37	©	©	PROPN
cet-2332	1	38	2017	2017	NUM
cet-2332	1	39	,	,	PUNCT
cet-2332	1	40	aidic	aidic	ADJ
cet-2332	1	41	servizi	servizi	PROPN
cet-2332	1	42	s.r.l	s.r.l	PROPN
cet-2332	1	43	.	.	PUNCT
cet-2332	2	1	isbn	isbn	ADJ
cet-2332	2	2	978	978	NUM
cet-2332	2	3	-	-	SYM
cet-2332	2	4	88	88	NUM
cet-2332	2	5	-	-	PUNCT
cet-2332	2	6	9560848	9560848	NUM
cet-2332	2	7	-	-	SYM
cet-2332	2	8	8	8	NUM
cet-2332	3	1	;	;	PUNCT
cet-2332	3	2	issn	issn	PROPN
cet-2332	3	3	2283	2283	NUM
cet-2332	3	4	-	-	SYM
cet-2332	3	5	9216	9216	NUM
cet-2332	3	6	electromagnetic	electromagnetic	ADJ
cet-2332	3	7	model	model	NOUN
cet-2332	3	8	for	for	ADP
cet-2332	3	9	determining	determine	VERB
cet-2332	3	10	the	the	DET
cet-2332	3	11	speed	speed	NOUN
cet-2332	3	12	of	of	ADP
cet-2332	3	13	absorptive	absorptive	ADJ
cet-2332	3	14	photonic	photonic	NOUN
cet-2332	3	15	in	in	ADP
cet-2332	3	16	a	a	DET
cet-2332	3	17	solar	solar	ADJ
cet-2332	3	18	collector	collector	NOUN
cet-2332	3	19	in	in	ADP
cet-2332	3	20	v	v	NUM
cet-2332	3	21	(	(	PUNCT
cet-2332	3	22	v	v	NOUN
cet-2332	3	23	-	-	PUNCT
cet-2332	3	24	collector	collector	NOUN
cet-2332	3	25	)	)	PUNCT
cet-2332	3	26	german	german	ADJ
cet-2332	3	27	ramosa	ramosa	NOUN
cet-2332	3	28	,	,	PUNCT
cet-2332	3	29	pablo	pablo	PROPN
cet-2332	3	30	velásquez*a	velásquez*a	NUM
cet-2332	3	31	,	,	PUNCT
cet-2332	3	32	paola	paola	PROPN
cet-2332	3	33	acevedoa	acevedoa	PROPN
cet-2332	3	34	,	,	PUNCT
cet-2332	3	35	angélica	angélica	PROPN
cet-2332	3	36	santisa	santisa	PROPN
cet-2332	3	37	,	,	PUNCT
cet-2332	3	38	johan	johan	PROPN
cet-2332	3	39	rincóna	rincóna	PROPN
cet-2332	3	40	,	,	PUNCT
cet-2332	3	41	andrés	andrés	PROPN
cet-2332	3	42	lópezb	lópezb	PROPN
cet-2332	3	43	auniversidad	auniversidad	PROPN
cet-2332	3	44	cooperativa	cooperativa	PROPN
cet-2332	3	45	de	de	PROPN
cet-2332	3	46	colombia	colombia	PROPN
cet-2332	3	47	–	–	PUNCT
cet-2332	3	48	ucc	ucc	PROPN
cet-2332	3	49	(	(	PUNCT
cet-2332	3	50	bogotá	bogotá	PROPN
cet-2332	3	51	)	)	PUNCT
cet-2332	3	52	buniversidad	buniversidad	PROPN
cet-2332	3	53	libre	libre	PROPN
cet-2332	3	54	–	–	PUNCT
cet-2332	3	55	(	(	PUNCT
cet-2332	3	56	bogotá	bogotá	NOUN
cet-2332	3	57	)	)	PUNCT
cet-2332	3	58	pablo.velasquez@campusucc.edu.co	pablo.velasquez@campusucc.edu.co	VERB
cet-2332	3	59	the	the	DET
cet-2332	3	60	electromagnetic	electromagnetic	ADJ
cet-2332	3	61	model	model	NOUN
cet-2332	3	62	for	for	ADP
cet-2332	3	63	determining	determine	VERB
cet-2332	3	64	the	the	DET
cet-2332	3	65	speed	speed	NOUN
cet-2332	3	66	of	of	ADP
cet-2332	3	67	absorptive	absorptive	ADJ
cet-2332	3	68	photonic	photonic	NOUN
cet-2332	3	69	in	in	ADP
cet-2332	3	70	a	a	DET
cet-2332	3	71	v	v	NOUN
cet-2332	3	72	-	-	PUNCT
cet-2332	3	73	collector	collector	NOUN
cet-2332	3	74	was	be	AUX
cet-2332	3	75	developed	develop	VERB
cet-2332	3	76	as	as	ADP
cet-2332	3	77	the	the	DET
cet-2332	3	78	function	function	NOUN
cet-2332	3	79	of	of	ADP
cet-2332	3	80	electrical	electrical	ADJ
cet-2332	3	81	and	and	CCONJ
cet-2332	3	82	magnetic	magnetic	ADJ
cet-2332	3	83	characteristics	characteristic	NOUN
cet-2332	3	84	of	of	ADP
cet-2332	3	85	a	a	DET
cet-2332	3	86	medium	medium	NOUN
cet-2332	3	87	,	,	PUNCT
cet-2332	3	88	considering	consider	VERB
cet-2332	3	89	both	both	CCONJ
cet-2332	3	90	the	the	DET
cet-2332	3	91	phase	phase	NOUN
cet-2332	3	92	factors	factor	NOUN
cet-2332	3	93	and	and	CCONJ
cet-2332	3	94	the	the	DET
cet-2332	3	95	attenuation	attenuation	NOUN
cet-2332	3	96	of	of	ADP
cet-2332	3	97	the	the	DET
cet-2332	3	98	suspension	suspension	NOUN
cet-2332	3	99	.	.	PUNCT
cet-2332	4	1	for	for	ADP
cet-2332	4	2	this	this	DET
cet-2332	4	3	purpose	purpose	NOUN
cet-2332	4	4	the	the	DET
cet-2332	4	5	six	six	NUM
cet-2332	4	6	-	-	PUNCT
cet-2332	4	7	flux	flux	NOUN
cet-2332	4	8	model	model	NOUN
cet-2332	4	9	was	be	AUX
cet-2332	4	10	used	use	VERB
cet-2332	4	11	to	to	PART
cet-2332	4	12	simulate	simulate	VERB
cet-2332	4	13	the	the	DET
cet-2332	4	14	photonic	photonic	ADJ
cet-2332	4	15	absorption	absorption	NOUN
cet-2332	4	16	and	and	CCONJ
cet-2332	4	17	the	the	DET
cet-2332	4	18	ray	ray	NOUN
cet-2332	4	19	-	-	PUNCT
cet-2332	4	20	tracing	trace	VERB
cet-2332	4	21	tool	tool	NOUN
cet-2332	4	22	was	be	AUX
cet-2332	4	23	used	use	VERB
cet-2332	4	24	to	to	PART
cet-2332	4	25	model	model	VERB
cet-2332	4	26	the	the	DET
cet-2332	4	27	rays	ray	NOUN
cet-2332	4	28	of	of	ADP
cet-2332	4	29	incident	incident	NOUN
cet-2332	4	30	radiation	radiation	NOUN
cet-2332	4	31	on	on	ADP
cet-2332	4	32	the	the	DET
cet-2332	4	33	v	v	NOUN
cet-2332	4	34	-	-	NOUN
cet-2332	4	35	collector	collector	NOUN
cet-2332	4	36	.	.	PUNCT
cet-2332	5	1	the	the	DET
cet-2332	5	2	developed	develop	VERB
cet-2332	5	3	model	model	NOUN
cet-2332	5	4	represents	represent	VERB
cet-2332	5	5	a	a	DET
cet-2332	5	6	new	new	ADJ
cet-2332	5	7	approach	approach	NOUN
cet-2332	5	8	to	to	ADP
cet-2332	5	9	those	those	PRON
cet-2332	5	10	reported	report	VERB
cet-2332	5	11	previously	previously	ADV
cet-2332	5	12	in	in	ADP
cet-2332	5	13	the	the	DET
cet-2332	5	14	literature	literature	NOUN
cet-2332	5	15	.	.	PUNCT
cet-2332	6	1	1	1	X
cet-2332	6	2	.	.	X
cet-2332	6	3	introduction	introduction	NOUN
cet-2332	6	4	the	the	DET
cet-2332	6	5	heterogeneous	heterogeneous	ADJ
cet-2332	6	6	photocatalysis	photocatalysis	NOUN
cet-2332	6	7	based	base	VERB
cet-2332	6	8	on	on	ADP
cet-2332	6	9	tio2	tio2	NOUN
cet-2332	6	10	and	and	CCONJ
cet-2332	6	11	modified	modify	VERB
cet-2332	6	12	semiconductors	semiconductor	NOUN
cet-2332	6	13	have	have	AUX
cet-2332	6	14	been	be	AUX
cet-2332	6	15	recently	recently	ADV
cet-2332	6	16	used	use	VERB
cet-2332	6	17	for	for	ADP
cet-2332	6	18	the	the	DET
cet-2332	6	19	treatment	treatment	NOUN
cet-2332	6	20	and	and	CCONJ
cet-2332	6	21	purification	purification	NOUN
cet-2332	6	22	of	of	ADP
cet-2332	6	23	slightly	slightly	ADV
cet-2332	6	24	contaminated	contaminate	VERB
cet-2332	6	25	effluents	effluent	NOUN
cet-2332	6	26	(	(	PUNCT
cet-2332	6	27	<	<	X
cet-2332	6	28	1	1	NUM
cet-2332	6	29	mg	mg	PROPN
cet-2332	6	30	l-1	l-1	NUM
cet-2332	6	31	)	)	PUNCT
cet-2332	6	32	,	,	PUNCT
cet-2332	6	33	in	in	ADP
cet-2332	6	34	self	self	NOUN
cet-2332	6	35	-	-	PUNCT
cet-2332	6	36	cleaning	cleaning	NOUN
cet-2332	6	37	of	of	ADP
cet-2332	6	38	surfaces	surface	NOUN
cet-2332	6	39	and	and	CCONJ
cet-2332	6	40	as	as	ADP
cet-2332	6	41	an	an	DET
cet-2332	6	42	alternative	alternative	ADJ
cet-2332	6	43	route	route	NOUN
cet-2332	6	44	in	in	ADP
cet-2332	6	45	the	the	DET
cet-2332	6	46	generation	generation	NOUN
cet-2332	6	47	of	of	ADP
cet-2332	6	48	energy	energy	NOUN
cet-2332	6	49	in	in	ADP
cet-2332	6	50	a	a	DET
cet-2332	6	51	sustainable	sustainable	ADJ
cet-2332	6	52	way	way	NOUN
cet-2332	6	53	.	.	PUNCT
cet-2332	7	1	by	by	ADP
cet-2332	7	2	means	mean	NOUN
cet-2332	7	3	of	of	ADP
cet-2332	7	4	the	the	DET
cet-2332	7	5	irradiation	irradiation	NOUN
cet-2332	7	6	of	of	ADP
cet-2332	7	7	the	the	DET
cet-2332	7	8	semiconductor	semiconductor	NOUN
cet-2332	7	9	with	with	ADP
cet-2332	7	10	energy	energy	NOUN
cet-2332	7	11	of	of	ADP
cet-2332	7	12	impinging	impinge	VERB
cet-2332	7	13	photons	photon	NOUN
cet-2332	7	14	higher	high	ADJ
cet-2332	7	15	than	than	ADP
cet-2332	7	16	its	its	PRON
cet-2332	7	17	band	band	NOUN
cet-2332	7	18	gap	gap	NOUN
cet-2332	7	19	(	(	PUNCT
cet-2332	7	20	tio2	tio2	NOUN
cet-2332	7	21	λ	λ	PROPN
cet-2332	7	22	<	<	X
cet-2332	7	23	384	384	NUM
cet-2332	7	24	nm	nm	NOUN
cet-2332	7	25	)	)	PUNCT
cet-2332	7	26	the	the	DET
cet-2332	7	27	procedure	procedure	NOUN
cet-2332	7	28	generates	generate	VERB
cet-2332	7	29	a	a	DET
cet-2332	7	30	couple	couple	NOUN
cet-2332	7	31	electron	electron	NOUN
cet-2332	7	32	/	/	SYM
cet-2332	7	33	hole	hole	NOUN
cet-2332	7	34	capable	capable	ADJ
cet-2332	7	35	of	of	ADP
cet-2332	7	36	initiating	initiate	VERB
cet-2332	7	37	reactions	reaction	NOUN
cet-2332	7	38	of	of	ADP
cet-2332	7	39	reduction	reduction	NOUN
cet-2332	7	40	and	and	CCONJ
cet-2332	7	41	oxidation	oxidation	NOUN
cet-2332	7	42	.	.	PUNCT
cet-2332	8	1	oxidation	oxidation	ADJ
cet-2332	8	2	reactions	reaction	NOUN
cet-2332	8	3	generate	generate	VERB
cet-2332	8	4	holes	hole	NOUN
cet-2332	8	5	that	that	PRON
cet-2332	8	6	occur	occur	VERB
cet-2332	8	7	at	at	ADP
cet-2332	8	8	the	the	DET
cet-2332	8	9	surface	surface	NOUN
cet-2332	8	10	of	of	ADP
cet-2332	8	11	tio2	tio2	NOUN
cet-2332	8	12	in	in	ADP
cet-2332	8	13	an	an	DET
cet-2332	8	14	aqueous	aqueous	ADJ
cet-2332	8	15	medium	medium	NOUN
cet-2332	8	16	,	,	PUNCT
cet-2332	8	17	through	through	ADP
cet-2332	8	18	hydroxyl	hydroxyl	NOUN
cet-2332	8	19	radicals	radical	NOUN
cet-2332	8	20	responsible	responsible	ADJ
cet-2332	8	21	for	for	ADP
cet-2332	8	22	the	the	DET
cet-2332	8	23	degradation	degradation	NOUN
cet-2332	8	24	of	of	ADP
cet-2332	8	25	a	a	DET
cet-2332	8	26	wide	wide	ADJ
cet-2332	8	27	range	range	NOUN
cet-2332	8	28	of	of	ADP
cet-2332	8	29	pollutants	pollutant	NOUN
cet-2332	8	30	,	,	PUNCT
cet-2332	8	31	including	include	VERB
cet-2332	8	32	organic	organic	ADJ
cet-2332	8	33	and	and	CCONJ
cet-2332	8	34	inorganic	inorganic	ADJ
cet-2332	8	35	compounds	compound	NOUN
cet-2332	8	36	,	,	PUNCT
cet-2332	8	37	and	and	CCONJ
cet-2332	8	38	inactivation	inactivation	NOUN
cet-2332	8	39	of	of	ADP
cet-2332	8	40	microorganisms	microorganism	NOUN
cet-2332	8	41	and	and	CCONJ
cet-2332	8	42	toxins	toxin	NOUN
cet-2332	8	43	the	the	DET
cet-2332	8	44	quantum	quantum	ADJ
cet-2332	8	45	yield	yield	NOUN
cet-2332	8	46	of	of	ADP
cet-2332	8	47	the	the	DET
cet-2332	8	48	photocatalytic	photocatalytic	ADJ
cet-2332	8	49	process	process	NOUN
cet-2332	8	50	can	can	AUX
cet-2332	8	51	be	be	AUX
cet-2332	8	52	determined	determine	VERB
cet-2332	8	53	when	when	SCONJ
cet-2332	8	54	the	the	DET
cet-2332	8	55	spatial	spatial	ADJ
cet-2332	8	56	and	and	CCONJ
cet-2332	8	57	directional	directional	ADJ
cet-2332	8	58	distributions	distribution	NOUN
cet-2332	8	59	of	of	ADP
cet-2332	8	60	radiation	radiation	NOUN
cet-2332	8	61	intensities	intensity	NOUN
cet-2332	8	62	are	be	AUX
cet-2332	8	63	known	know	VERB
cet-2332	8	64	in	in	ADP
cet-2332	8	65	the	the	DET
cet-2332	8	66	suspension	suspension	NOUN
cet-2332	8	67	,	,	PUNCT
cet-2332	8	68	thus	thus	ADV
cet-2332	8	69	partially	partially	ADV
cet-2332	8	70	solving	solve	VERB
cet-2332	8	71	the	the	DET
cet-2332	8	72	problem	problem	NOUN
cet-2332	8	73	of	of	ADP
cet-2332	8	74	the	the	DET
cet-2332	8	75	reaction	reaction	NOUN
cet-2332	8	76	rate	rate	NOUN
cet-2332	8	77	.	.	PUNCT
cet-2332	9	1	this	this	DET
cet-2332	9	2	ratio	ratio	NOUN
cet-2332	9	3	is	be	AUX
cet-2332	9	4	described	describe	VERB
cet-2332	9	5	by	by	ADP
cet-2332	9	6	the	the	DET
cet-2332	9	7	local	local	ADJ
cet-2332	9	8	volumetric	volumetric	NOUN
cet-2332	9	9	rate	rate	NOUN
cet-2332	9	10	of	of	ADP
cet-2332	9	11	photon	photon	NOUN
cet-2332	9	12	absorption	absorption	NOUN
cet-2332	9	13	(	(	PUNCT
cet-2332	9	14	lvrpa	lvrpa	NOUN
cet-2332	9	15	)	)	PUNCT
cet-2332	9	16	representing	represent	VERB
cet-2332	9	17	the	the	DET
cet-2332	9	18	spatial	spatial	ADJ
cet-2332	9	19	distribution	distribution	NOUN
cet-2332	9	20	or	or	CCONJ
cet-2332	9	21	the	the	DET
cet-2332	9	22	photon	photon	NOUN
cet-2332	9	23	availability	availability	NOUN
cet-2332	9	24	in	in	ADP
cet-2332	9	25	the	the	DET
cet-2332	9	26	reactor	reactor	NOUN
cet-2332	9	27	.	.	PUNCT
cet-2332	10	1	the	the	DET
cet-2332	10	2	electromagnetic	electromagnetic	ADJ
cet-2332	10	3	waves	wave	NOUN
cet-2332	10	4	(	(	PUNCT
cet-2332	10	5	photons	photon	NOUN
cet-2332	10	6	)	)	PUNCT
cet-2332	10	7	that	that	PRON
cet-2332	10	8	are	be	AUX
cet-2332	10	9	responsible	responsible	ADJ
cet-2332	10	10	for	for	ADP
cet-2332	10	11	the	the	DET
cet-2332	10	12	catalyst	catalyst	NOUN
cet-2332	10	13	activation	activation	NOUN
cet-2332	10	14	process	process	NOUN
cet-2332	10	15	when	when	SCONJ
cet-2332	10	16	they	they	PRON
cet-2332	10	17	penetrate	penetrate	VERB
cet-2332	10	18	into	into	ADP
cet-2332	10	19	the	the	DET
cet-2332	10	20	medium	medium	NOUN
cet-2332	10	21	,	,	PUNCT
cet-2332	10	22	are	be	AUX
cet-2332	10	23	dispersed	disperse	VERB
cet-2332	10	24	,	,	PUNCT
cet-2332	10	25	absorbed	absorb	VERB
cet-2332	10	26	and	and	CCONJ
cet-2332	10	27	reflected	reflect	VERB
cet-2332	10	28	by	by	ADP
cet-2332	10	29	the	the	DET
cet-2332	10	30	suspension	suspension	NOUN
cet-2332	10	31	.	.	PUNCT
cet-2332	11	1	the	the	DET
cet-2332	11	2	description	description	NOUN
cet-2332	11	3	of	of	ADP
cet-2332	11	4	this	this	DET
cet-2332	11	5	complex	complex	ADJ
cet-2332	11	6	process	process	NOUN
cet-2332	11	7	is	be	AUX
cet-2332	11	8	performed	perform	VERB
cet-2332	11	9	by	by	ADP
cet-2332	11	10	means	mean	NOUN
cet-2332	11	11	of	of	ADP
cet-2332	11	12	a	a	DET
cet-2332	11	13	physicomathematical	physicomathematical	ADJ
cet-2332	11	14	model	model	NOUN
cet-2332	11	15	,	,	PUNCT
cet-2332	11	16	which	which	PRON
cet-2332	11	17	is	be	AUX
cet-2332	11	18	known	know	VERB
cet-2332	11	19	as	as	ADP
cet-2332	11	20	the	the	DET
cet-2332	11	21	radiative	radiative	ADJ
cet-2332	11	22	transfer	transfer	NOUN
cet-2332	11	23	equation	equation	NOUN
cet-2332	11	24	(	(	PUNCT
cet-2332	11	25	rte	rte	NOUN
cet-2332	11	26	)	)	PUNCT
cet-2332	11	27	.	.	PUNCT
cet-2332	12	1	many	many	ADJ
cet-2332	12	2	studies	study	NOUN
cet-2332	12	3	have	have	AUX
cet-2332	12	4	been	be	AUX
cet-2332	12	5	developed	develop	VERB
cet-2332	12	6	in	in	ADP
cet-2332	12	7	this	this	DET
cet-2332	12	8	way	way	NOUN
cet-2332	12	9	,	,	PUNCT
cet-2332	12	10	because	because	SCONJ
cet-2332	12	11	of	of	ADP
cet-2332	12	12	the	the	DET
cet-2332	12	13	complexity	complexity	NOUN
cet-2332	12	14	of	of	ADP
cet-2332	12	15	the	the	DET
cet-2332	12	16	analytical	analytical	ADJ
cet-2332	12	17	solution	solution	NOUN
cet-2332	12	18	.	.	PUNCT
cet-2332	13	1	both	both	CCONJ
cet-2332	13	2	the	the	DET
cet-2332	13	3	empirical	empirical	ADJ
cet-2332	13	4	models	model	NOUN
cet-2332	13	5	for	for	ADP
cet-2332	13	6	the	the	DET
cet-2332	13	7	determination	determination	NOUN
cet-2332	13	8	of	of	ADP
cet-2332	13	9	lvrpa	lvrpa	NOUN
cet-2332	13	10	and	and	CCONJ
cet-2332	13	11	the	the	DET
cet-2332	13	12	estimation	estimation	NOUN
cet-2332	13	13	of	of	ADP
cet-2332	13	14	experimental	experimental	ADJ
cet-2332	13	15	parameters	parameter	NOUN
cet-2332	13	16	that	that	PRON
cet-2332	13	17	fit	fit	VERB
cet-2332	13	18	the	the	DET
cet-2332	13	19	solution	solution	NOUN
cet-2332	13	20	of	of	ADP
cet-2332	13	21	the	the	DET
cet-2332	13	22	rte	rte	NOUN
cet-2332	13	23	result	result	NOUN
cet-2332	13	24	in	in	ADP
cet-2332	13	25	an	an	PRON
cet-2332	13	26	of	of	ADP
cet-2332	13	27	great	great	ADJ
cet-2332	13	28	mathematical	mathematical	ADJ
cet-2332	13	29	complexity	complexity	NOUN
cet-2332	13	30	that	that	PRON
cet-2332	13	31	makes	make	VERB
cet-2332	13	32	it	it	PRON
cet-2332	13	33	practically	practically	ADV
cet-2332	13	34	impossible	impossible	ADJ
cet-2332	13	35	to	to	PART
cet-2332	13	36	scale	scale	VERB
cet-2332	13	37	up	up	ADP
cet-2332	13	38	.	.	PUNCT
cet-2332	14	1	to	to	PART
cet-2332	14	2	pass	pass	VERB
cet-2332	14	3	from	from	ADP
cet-2332	14	4	the	the	DET
cet-2332	14	5	laboratory	laboratory	NOUN
cet-2332	14	6	to	to	ADP
cet-2332	14	7	the	the	DET
cet-2332	14	8	commercial	commercial	ADJ
cet-2332	14	9	scale	scale	NOUN
cet-2332	14	10	implies	imply	VERB
cet-2332	14	11	the	the	DET
cet-2332	14	12	inability	inability	NOUN
cet-2332	14	13	of	of	ADP
cet-2332	14	14	controlling	control	VERB
cet-2332	14	15	parameters	parameter	NOUN
cet-2332	14	16	such	such	ADJ
cet-2332	14	17	as	as	ADP
cet-2332	14	18	albedo	albedo	NOUN
cet-2332	14	19	,	,	PUNCT
cet-2332	14	20	solar	solar	ADJ
cet-2332	14	21	dispersion	dispersion	NOUN
cet-2332	14	22	in	in	ADP
cet-2332	14	23	the	the	DET
cet-2332	14	24	medium	medium	NOUN
cet-2332	14	25	,	,	PUNCT
cet-2332	14	26	etc	etc	X
cet-2332	14	27	.	.	X
cet-2332	15	1	it	it	PRON
cet-2332	15	2	is	be	AUX
cet-2332	15	3	noteworthy	noteworthy	ADJ
cet-2332	15	4	that	that	SCONJ
cet-2332	15	5	in	in	ADP
cet-2332	15	6	any	any	DET
cet-2332	15	7	controlled	control	VERB
cet-2332	15	8	photocatalytic	photocatalytic	ADJ
cet-2332	15	9	process	process	NOUN
cet-2332	15	10	,	,	PUNCT
cet-2332	15	11	the	the	DET
cet-2332	15	12	kinetics	kinetic	NOUN
cet-2332	15	13	of	of	ADP
cet-2332	15	14	catalyst	catalyst	NOUN
cet-2332	15	15	activation	activation	NOUN
cet-2332	15	16	is	be	AUX
cet-2332	15	17	always	always	ADV
cet-2332	15	18	a	a	DET
cet-2332	15	19	photochemical	photochemical	ADJ
cet-2332	15	20	act	act	NOUN
cet-2332	15	21	that	that	PRON
cet-2332	15	22	depends	depend	VERB
cet-2332	15	23	on	on	ADP
cet-2332	15	24	the	the	DET
cet-2332	15	25	local	local	ADJ
cet-2332	15	26	value	value	NOUN
cet-2332	15	27	of	of	ADP
cet-2332	15	28	the	the	DET
cet-2332	15	29	volumetric	volumetric	ADJ
cet-2332	15	30	rate	rate	NOUN
cet-2332	15	31	of	of	ADP
cet-2332	15	32	energy	energy	NOUN
cet-2332	15	33	absorption	absorption	NOUN
cet-2332	15	34	(	(	PUNCT
cet-2332	15	35	lvrea	lvrea	NOUN
cet-2332	15	36	)	)	PUNCT
cet-2332	15	37	.	.	PUNCT
cet-2332	16	1	most	most	ADJ
cet-2332	16	2	studies	study	NOUN
cet-2332	16	3	have	have	AUX
cet-2332	16	4	focused	focus	VERB
cet-2332	16	5	on	on	ADP
cet-2332	16	6	the	the	DET
cet-2332	16	7	rte	rte	NOUN
cet-2332	16	8	solution	solution	NOUN
cet-2332	16	9	for	for	ADP
cet-2332	16	10	modeling	model	VERB
cet-2332	16	11	lvrpa	lvrpa	NOUN
cet-2332	16	12	and	and	CCONJ
cet-2332	16	13	lvrea	lvrea	NOUN
cet-2332	16	14	in	in	ADP
cet-2332	16	15	parabolic	parabolic	ADJ
cet-2332	16	16	trough	trough	NOUN
cet-2332	16	17	collectors	collector	NOUN
cet-2332	16	18	(	(	PUNCT
cet-2332	16	19	ptc	ptc	PROPN
cet-2332	16	20	)	)	PUNCT
cet-2332	16	21	and	and	CCONJ
cet-2332	16	22	parabolic	parabolic	ADJ
cet-2332	16	23	concentrators	concentrator	NOUN
cet-2332	16	24	(	(	PUNCT
cet-2332	16	25	pc	pc	NOUN
cet-2332	16	26	)	)	PUNCT
cet-2332	16	27	.	.	PUNCT
cet-2332	17	1	considering	consider	VERB
cet-2332	17	2	that	that	SCONJ
cet-2332	17	3	the	the	DET
cet-2332	17	4	overall	overall	ADJ
cet-2332	17	5	performance	performance	NOUN
cet-2332	17	6	in	in	ADP
cet-2332	17	7	terms	term	NOUN
cet-2332	17	8	of	of	ADP
cet-2332	17	9	the	the	DET
cet-2332	17	10	accumulated	accumulate	VERB
cet-2332	17	11	energy	energy	NOUN
cet-2332	17	12	by	by	ADP
cet-2332	17	13	a	a	DET
cet-2332	17	14	v	v	NOUN
cet-2332	17	15	-	-	PUNCT
cet-2332	17	16	collector	collector	NOUN
cet-2332	17	17	is	be	AUX
cet-2332	17	18	close	close	ADJ
cet-2332	17	19	to	to	ADP
cet-2332	17	20	obtaining	obtain	VERB
cet-2332	17	21	in	in	ADP
cet-2332	17	22	a	a	DET
cet-2332	17	23	ptc	ptc	NOUN
cet-2332	17	24	(	(	PUNCT
cet-2332	17	25	bandala	bandala	X
cet-2332	17	26	et	et	PROPN
cet-2332	17	27	al	al	PROPN
cet-2332	17	28	.	.	PROPN
cet-2332	17	29	,	,	PUNCT
cet-2332	17	30	2004	2004	NUM
cet-2332	17	31	)	)	PUNCT
cet-2332	17	32	,	,	PUNCT
cet-2332	17	33	it	it	PRON
cet-2332	17	34	makes	make	VERB
cet-2332	17	35	interesting	interesting	ADJ
cet-2332	17	36	the	the	DET
cet-2332	17	37	lvrpa	lvrpa	NOUN
cet-2332	17	38	determination	determination	NOUN
cet-2332	17	39	.	.	PUNCT
cet-2332	18	1	since	since	SCONJ
cet-2332	18	2	there	there	PRON
cet-2332	18	3	are	be	VERB
cet-2332	18	4	no	no	DET
cet-2332	18	5	reports	report	NOUN
cet-2332	18	6	for	for	ADP
cet-2332	18	7	this	this	DET
cet-2332	18	8	type	type	NOUN
cet-2332	18	9	of	of	ADP
cet-2332	18	10	configuration	configuration	NOUN
cet-2332	18	11	of	of	ADP
cet-2332	18	12	v	v	NOUN
cet-2332	18	13	collector	collector	NOUN
cet-2332	18	14	.	.	PUNCT
cet-2332	19	1	in	in	ADP
cet-2332	19	2	the	the	DET
cet-2332	19	3	same	same	ADJ
cet-2332	19	4	article	article	NOUN
cet-2332	19	5	,	,	PUNCT
cet-2332	19	6	it	it	PRON
cet-2332	19	7	was	be	AUX
cet-2332	19	8	concluded	conclude	VERB
cet-2332	19	9	that	that	SCONJ
cet-2332	19	10	"	"	PUNCT
cet-2332	19	11	the	the	DET
cet-2332	19	12	incidence	incidence	NOUN
cet-2332	19	13	angle	angle	NOUN
cet-2332	19	14	affects	affect	VERB
cet-2332	19	15	the	the	DET
cet-2332	19	16	total	total	ADJ
cet-2332	19	17	amount	amount	NOUN
cet-2332	19	18	of	of	ADP
cet-2332	19	19	energy	energy	NOUN
cet-2332	19	20	achieved	achieve	VERB
cet-2332	19	21	,	,	PUNCT
cet-2332	19	22	but	but	CCONJ
cet-2332	19	23	it	it	PRON
cet-2332	19	24	does	do	AUX
cet-2332	19	25	not	not	PART
cet-2332	19	26	greatly	greatly	ADV
cet-2332	19	27	reduce	reduce	VERB
cet-2332	19	28	the	the	DET
cet-2332	19	29	efficiency	efficiency	NOUN
cet-2332	19	30	of	of	ADP
cet-2332	19	31	the	the	DET
cet-2332	19	32	reactors	reactor	NOUN
cet-2332	19	33	to	to	PART
cet-2332	19	34	use	use	VERB
cet-2332	19	35	this	this	DET
cet-2332	19	36	energy	energy	NOUN
cet-2332	19	37	in	in	ADP
cet-2332	19	38	the	the	DET
cet-2332	19	39	photocatalytic	photocatalytic	ADJ
cet-2332	19	40	process	process	NOUN
cet-2332	19	41	"	"	PUNCT
cet-2332	19	42	for	for	ADP
cet-2332	19	43	the	the	DET
cet-2332	19	44	estimation	estimation	NOUN
cet-2332	19	45	of	of	ADP
cet-2332	19	46	the	the	DET
cet-2332	19	47	speed	speed	NOUN
cet-2332	19	48	of	of	ADP
cet-2332	19	49	local	local	ADJ
cet-2332	19	50	photon	photon	NOUN
cet-2332	19	51	absorption	absorption	NOUN
cet-2332	19	52	(	(	PUNCT
cet-2332	19	53	lvrpa	lvrpa	NOUN
cet-2332	19	54	)	)	PUNCT
cet-2332	19	55	in	in	ADP
cet-2332	19	56	photocatalytic	photocatalytic	ADJ
cet-2332	19	57	heterogeneous	heterogeneous	ADJ
cet-2332	19	58	systems	system	NOUN
cet-2332	19	59	the	the	DET
cet-2332	19	60	six	six	NUM
cet-2332	19	61	-	-	PUNCT
cet-2332	19	62	flux	flux	NOUN
cet-2332	19	63	approach	approach	NOUN
cet-2332	19	64	absorption	absorption	NOUN
cet-2332	19	65	-	-	PUNCT
cet-2332	19	66	scattering	scatter	VERB
cet-2332	19	67	model	model	NOUN
cet-2332	19	68	(	(	PUNCT
cet-2332	19	69	sfm	sfm	PROPN
cet-2332	19	70	)	)	PUNCT
cet-2332	19	71	was	be	AUX
cet-2332	19	72	proposed	propose	VERB
cet-2332	19	73	(	(	PUNCT
cet-2332	19	74	brucatto	brucatto	PROPN
cet-2332	19	75	et	et	PROPN
cet-2332	19	76	al	al	PROPN
cet-2332	19	77	.	.	PROPN
cet-2332	19	78	,	,	PUNCT
cet-2332	19	79	2006	2006	NUM
cet-2332	19	80	)	)	PUNCT
cet-2332	19	81	.	.	PUNCT
cet-2332	20	1	this	this	DET
cet-2332	20	2	approach	approach	NOUN
cet-2332	20	3	doi	doi	NOUN
cet-2332	20	4	:	:	PUNCT
cet-2332	20	5	10.3303	10.3303	NUM
cet-2332	20	6	/	/	SYM
cet-2332	20	7	cet1757269	cet1757269	NOUN
cet-2332	20	8	please	please	INTJ
cet-2332	20	9	cite	cite	VERB
cet-2332	20	10	this	this	DET
cet-2332	20	11	article	article	NOUN
cet-2332	20	12	as	as	ADP
cet-2332	20	13	:	:	PUNCT
cet-2332	20	14	ramos	ramos	PROPN
cet-2332	20	15	g.	g.	PROPN
cet-2332	20	16	,	,	PUNCT
cet-2332	20	17	velasquez	velasquez	PROPN
cet-2332	20	18	p.	p.	PROPN
cet-2332	20	19	,	,	PUNCT
cet-2332	20	20	acevedo	acevedo	PROPN
cet-2332	20	21	p.	p.	PROPN
cet-2332	20	22	,	,	PUNCT
cet-2332	20	23	santis	santis	PROPN
cet-2332	20	24	a.	a.	PROPN
cet-2332	20	25	,	,	PUNCT
cet-2332	20	26	rincon	rincon	PROPN
cet-2332	20	27	j.	j.	PROPN
cet-2332	20	28	,	,	PUNCT
cet-2332	20	29	lopez	lopez	PROPN
cet-2332	20	30	a.	a.	PROPN
cet-2332	20	31	,	,	PUNCT
cet-2332	20	32	2017	2017	NUM
cet-2332	20	33	,	,	PUNCT
cet-2332	20	34	electromagnetic	electromagnetic	ADJ
cet-2332	20	35	model	model	NOUN
cet-2332	20	36	for	for	ADP
cet-2332	20	37	determining	determine	VERB
cet-2332	20	38	the	the	DET
cet-2332	20	39	speed	speed	NOUN
cet-2332	20	40	of	of	ADP
cet-2332	20	41	absorptive	absorptive	ADJ
cet-2332	20	42	photonic	photonic	NOUN
cet-2332	20	43	in	in	ADP
cet-2332	20	44	a	a	DET
cet-2332	20	45	solar	solar	ADJ
cet-2332	20	46	collector	collector	NOUN
cet-2332	20	47	in	in	ADP
cet-2332	20	48	v	v	NUM
cet-2332	20	49	(	(	PUNCT
cet-2332	20	50	v	v	NOUN
cet-2332	20	51	-	-	NOUN
cet-2332	20	52	collector	collector	NOUN
cet-2332	20	53	)	)	PUNCT
cet-2332	20	54	,	,	PUNCT
cet-2332	20	55	chemical	chemical	NOUN
cet-2332	20	56	engineering	engineering	NOUN
cet-2332	20	57	transactions	transaction	NOUN
cet-2332	20	58	,	,	PUNCT
cet-2332	20	59	57	57	NUM
cet-2332	20	60	,	,	PUNCT
cet-2332	20	61	1609	1609	NUM
cet-2332	20	62	-	-	SYM
cet-2332	20	63	1614	1614	NUM
cet-2332	20	64	doi	doi	NOUN
cet-2332	20	65	:	:	PUNCT
cet-2332	20	66	10.3303	10.3303	NUM
cet-2332	20	67	/	/	SYM
cet-2332	20	68	cet1757269	cet1757269	X
cet-2332	20	69	1609	1609	NUM
cet-2332	20	70	is	be	AUX
cet-2332	20	71	based	base	VERB
cet-2332	20	72	on	on	ADP
cet-2332	20	73	the	the	DET
cet-2332	20	74	directional	directional	ADJ
cet-2332	20	75	dispersion	dispersion	NOUN
cet-2332	20	76	in	in	ADP
cet-2332	20	77	three	three	NUM
cet-2332	20	78	axes	axis	NOUN
cet-2332	20	79	,	,	PUNCT
cet-2332	20	80	combined	combine	VERB
cet-2332	20	81	with	with	ADP
cet-2332	20	82	the	the	DET
cet-2332	20	83	technique	technique	NOUN
cet-2332	20	84	based	base	VERB
cet-2332	20	85	on	on	ADP
cet-2332	20	86	the	the	DET
cet-2332	20	87	ray	ray	NOUN
cet-2332	20	88	-	-	PUNCT
cet-2332	20	89	tracing	trace	VERB
cet-2332	20	90	for	for	ADP
cet-2332	20	91	modeling	modeling	NOUN
cet-2332	20	92	of	of	ADP
cet-2332	20	93	the	the	DET
cet-2332	20	94	incident	incident	NOUN
cet-2332	20	95	radiation	radiation	NOUN
cet-2332	20	96	.	.	PUNCT
cet-2332	21	1	a	a	DET
cet-2332	21	2	model	model	NOUN
cet-2332	21	3	for	for	ADP
cet-2332	21	4	the	the	DET
cet-2332	21	5	lvrpa	lvrpa	NOUN
cet-2332	21	6	in	in	ADP
cet-2332	21	7	photocatalytic	photocatalytic	ADJ
cet-2332	21	8	mineralization	mineralization	NOUN
cet-2332	21	9	of	of	ADP
cet-2332	21	10	pollutant	pollutant	ADJ
cet-2332	21	11	compounds	compound	NOUN
cet-2332	21	12	is	be	AUX
cet-2332	21	13	also	also	ADV
cet-2332	21	14	presented	present	VERB
cet-2332	21	15	.	.	PUNCT
cet-2332	22	1	in	in	ADP
cet-2332	22	2	this	this	DET
cet-2332	22	3	research	research	NOUN
cet-2332	22	4	we	we	PRON
cet-2332	22	5	develope	develope	VERB
cet-2332	22	6	an	an	DET
cet-2332	22	7	electromagnetic	electromagnetic	ADJ
cet-2332	22	8	model	model	NOUN
cet-2332	22	9	of	of	ADP
cet-2332	22	10	estimation	estimation	NOUN
cet-2332	22	11	of	of	ADP
cet-2332	22	12	the	the	DET
cet-2332	22	13	absorbed	absorb	VERB
cet-2332	22	14	uv	uv	NOUN
cet-2332	22	15	energy	energy	NOUN
cet-2332	22	16	by	by	ADP
cet-2332	22	17	the	the	DET
cet-2332	22	18	catalyst	catalyst	NOUN
cet-2332	22	19	in	in	ADP
cet-2332	22	20	a	a	DET
cet-2332	22	21	suspension	suspension	NOUN
cet-2332	22	22	in	in	ADP
cet-2332	22	23	order	order	NOUN
cet-2332	22	24	to	to	PART
cet-2332	22	25	evaluate	evaluate	VERB
cet-2332	22	26	the	the	DET
cet-2332	22	27	absorption	absorption	NOUN
cet-2332	22	28	of	of	ADP
cet-2332	22	29	photons	photon	NOUN
cet-2332	22	30	in	in	ADP
cet-2332	22	31	a	a	DET
cet-2332	22	32	heterogeneous	heterogeneous	ADJ
cet-2332	22	33	photocatalytic	photocatalytic	ADJ
cet-2332	22	34	reactor	reactor	NOUN
cet-2332	22	35	(	(	PUNCT
cet-2332	22	36	v	v	NOUN
cet-2332	22	37	collector	collector	NOUN
cet-2332	22	38	)	)	PUNCT
cet-2332	22	39	based	base	VERB
cet-2332	22	40	on	on	ADP
cet-2332	22	41	electrical	electrical	ADJ
cet-2332	22	42	and	and	CCONJ
cet-2332	22	43	magnetic	magnetic	ADJ
cet-2332	22	44	characteristics	characteristic	NOUN
cet-2332	22	45	of	of	ADP
cet-2332	22	46	the	the	DET
cet-2332	22	47	suspension	suspension	NOUN
cet-2332	22	48	.	.	PUNCT
cet-2332	23	1	the	the	DET
cet-2332	23	2	analysis	analysis	NOUN
cet-2332	23	3	of	of	ADP
cet-2332	23	4	the	the	DET
cet-2332	23	5	electromagnetic	electromagnetic	ADJ
cet-2332	23	6	characteristics	characteristic	NOUN
cet-2332	23	7	of	of	ADP
cet-2332	23	8	the	the	DET
cet-2332	23	9	medium	medium	NOUN
cet-2332	23	10	allow	allow	VERB
cet-2332	23	11	us	we	PRON
cet-2332	23	12	to	to	PART
cet-2332	23	13	estimate	estimate	VERB
cet-2332	23	14	the	the	DET
cet-2332	23	15	local	local	ADJ
cet-2332	23	16	energy	energy	NOUN
cet-2332	23	17	absorption	absorption	NOUN
cet-2332	23	18	inherent	inherent	ADJ
cet-2332	23	19	to	to	ADP
cet-2332	23	20	the	the	DET
cet-2332	23	21	medium	medium	NOUN
cet-2332	23	22	and	and	CCONJ
cet-2332	23	23	to	to	PART
cet-2332	23	24	determine	determine	VERB
cet-2332	23	25	the	the	DET
cet-2332	23	26	model	model	NOUN
cet-2332	23	27	of	of	ADP
cet-2332	23	28	the	the	DET
cet-2332	23	29	local	local	ADJ
cet-2332	23	30	volumetric	volumetric	NOUN
cet-2332	23	31	speed	speed	NOUN
cet-2332	23	32	of	of	ADP
cet-2332	23	33	absorption	absorption	NOUN
cet-2332	23	34	of	of	ADP
cet-2332	23	35	photons	photon	NOUN
cet-2332	23	36	.	.	PUNCT
cet-2332	24	1	2	2	X
cet-2332	24	2	.	.	X
cet-2332	24	3	material	material	NOUN
cet-2332	24	4	and	and	CCONJ
cet-2332	24	5	methods	method	NOUN
cet-2332	24	6	for	for	ADP
cet-2332	24	7	the	the	DET
cet-2332	24	8	elaboration	elaboration	NOUN
cet-2332	24	9	of	of	ADP
cet-2332	24	10	the	the	DET
cet-2332	24	11	proposed	propose	VERB
cet-2332	24	12	model	model	NOUN
cet-2332	24	13	,	,	PUNCT
cet-2332	24	14	the	the	DET
cet-2332	24	15	electromagnetic	electromagnetic	ADJ
cet-2332	24	16	model	model	NOUN
cet-2332	24	17	for	for	ADP
cet-2332	24	18	the	the	DET
cet-2332	24	19	lvrpa	lvrpa	NOUN
cet-2332	24	20	,	,	PUNCT
cet-2332	24	21	the	the	DET
cet-2332	24	22	two	two	NUM
cet-2332	24	23	-	-	PUNCT
cet-2332	24	24	flux	flux	NOUN
cet-2332	24	25	(	(	PUNCT
cet-2332	24	26	tfm	tfm	NOUN
cet-2332	24	27	)	)	PUNCT
cet-2332	24	28	and	and	CCONJ
cet-2332	24	29	the	the	DET
cet-2332	24	30	sixflux	sixflux	ADJ
cet-2332	24	31	(	(	PUNCT
cet-2332	24	32	sfm	sfm	NOUN
cet-2332	24	33	)	)	PUNCT
cet-2332	24	34	approaches	approach	NOUN
cet-2332	24	35	were	be	AUX
cet-2332	24	36	used	use	VERB
cet-2332	24	37	.	.	PUNCT
cet-2332	25	1	using	use	VERB
cet-2332	25	2	the	the	DET
cet-2332	25	3	electromagnetic	electromagnetic	ADJ
cet-2332	25	4	theory	theory	NOUN
cet-2332	25	5	was	be	AUX
cet-2332	25	6	presented	present	VERB
cet-2332	25	7	a	a	DET
cet-2332	25	8	way	way	NOUN
cet-2332	25	9	to	to	PART
cet-2332	25	10	establish	establish	VERB
cet-2332	25	11	the	the	DET
cet-2332	25	12	lvrpa	lvrpa	NOUN
cet-2332	25	13	from	from	ADP
cet-2332	25	14	the	the	DET
cet-2332	25	15	characteristics	characteristic	NOUN
cet-2332	25	16	of	of	ADP
cet-2332	25	17	the	the	DET
cet-2332	25	18	medium	medium	NOUN
cet-2332	25	19	and	and	CCONJ
cet-2332	25	20	the	the	DET
cet-2332	25	21	frequency	frequency	NOUN
cet-2332	25	22	of	of	ADP
cet-2332	25	23	the	the	DET
cet-2332	25	24	incident	incident	NOUN
cet-2332	25	25	rays	ray	NOUN
cet-2332	25	26	on	on	ADP
cet-2332	25	27	the	the	DET
cet-2332	25	28	aqueous	aqueous	ADJ
cet-2332	25	29	medium	medium	NOUN
cet-2332	25	30	,	,	PUNCT
cet-2332	25	31	which	which	PRON
cet-2332	25	32	correspond	correspond	VERB
cet-2332	25	33	to	to	ADP
cet-2332	25	34	the	the	DET
cet-2332	25	35	rays	ray	NOUN
cet-2332	25	36	reflected	reflect	VERB
cet-2332	25	37	by	by	ADP
cet-2332	25	38	the	the	DET
cet-2332	25	39	reflective	reflective	ADJ
cet-2332	25	40	surface	surface	NOUN
cet-2332	25	41	of	of	ADP
cet-2332	25	42	the	the	DET
cet-2332	25	43	v	v	NOUN
cet-2332	25	44	-	-	NOUN
cet-2332	25	45	collector	collector	NOUN
cet-2332	25	46	.	.	PUNCT
cet-2332	26	1	in	in	ADP
cet-2332	26	2	order	order	NOUN
cet-2332	26	3	to	to	PART
cet-2332	26	4	delimit	delimit	VERB
cet-2332	26	5	the	the	DET
cet-2332	26	6	study	study	NOUN
cet-2332	26	7	,	,	PUNCT
cet-2332	26	8	as	as	ADV
cet-2332	26	9	well	well	ADV
cet-2332	26	10	as	as	ADP
cet-2332	26	11	to	to	PART
cet-2332	26	12	establish	establish	VERB
cet-2332	26	13	an	an	DET
cet-2332	26	14	equivalence	equivalence	NOUN
cet-2332	26	15	between	between	ADP
cet-2332	26	16	the	the	DET
cet-2332	26	17	developed	develop	VERB
cet-2332	26	18	models	model	NOUN
cet-2332	26	19	(	(	PUNCT
cet-2332	26	20	the	the	DET
cet-2332	26	21	twoflux	twoflux	NOUN
cet-2332	26	22	and	and	CCONJ
cet-2332	26	23	six	six	NUM
cet-2332	26	24	-	-	PUNCT
cet-2332	26	25	flux	flux	NOUN
cet-2332	26	26	)	)	PUNCT
cet-2332	26	27	,	,	PUNCT
cet-2332	26	28	it	it	PRON
cet-2332	26	29	was	be	AUX
cet-2332	26	30	assumed	assume	VERB
cet-2332	26	31	the	the	DET
cet-2332	26	32	following	follow	VERB
cet-2332	26	33	:	:	PUNCT
cet-2332	26	34	1	1	X
cet-2332	26	35	.	.	PUNCT
cet-2332	26	36	cylindrical	cylindrical	ADJ
cet-2332	26	37	coordinate	coordinate	NOUN
cet-2332	26	38	system	system	NOUN
cet-2332	26	39	,	,	PUNCT
cet-2332	26	40	it	it	PRON
cet-2332	26	41	best	well	ADV
cet-2332	26	42	describes	describe	VERB
cet-2332	26	43	the	the	DET
cet-2332	26	44	behavior	behavior	NOUN
cet-2332	26	45	of	of	ADP
cet-2332	26	46	the	the	DET
cet-2332	26	47	rays	ray	NOUN
cet-2332	26	48	reflected	reflect	VERB
cet-2332	26	49	by	by	ADP
cet-2332	26	50	the	the	DET
cet-2332	26	51	flat	flat	ADJ
cet-2332	26	52	reflectors	reflector	NOUN
cet-2332	26	53	of	of	ADP
cet-2332	26	54	the	the	DET
cet-2332	26	55	v	v	NOUN
cet-2332	26	56	-	-	NOUN
cet-2332	26	57	collector	collector	NOUN
cet-2332	26	58	,	,	PUNCT
cet-2332	26	59	on	on	ADP
cet-2332	26	60	the	the	DET
cet-2332	26	61	cylindrical	cylindrical	ADJ
cet-2332	26	62	glass	glass	NOUN
cet-2332	26	63	tube	tube	NOUN
cet-2332	26	64	through	through	ADP
cet-2332	26	65	which	which	PRON
cet-2332	26	66	the	the	DET
cet-2332	26	67	suspension	suspension	NOUN
cet-2332	26	68	runs	run	NOUN
cet-2332	26	69	.	.	PUNCT
cet-2332	27	1	2	2	X
cet-2332	27	2	.	.	X
cet-2332	27	3	the	the	DET
cet-2332	27	4	direction	direction	NOUN
cet-2332	27	5	of	of	ADP
cet-2332	27	6	incidence	incidence	NOUN
cet-2332	27	7	of	of	ADP
cet-2332	27	8	the	the	DET
cet-2332	27	9	rays	ray	NOUN
cet-2332	27	10	is	be	AUX
cet-2332	27	11	radial	radial	ADJ
cet-2332	27	12	with	with	ADP
cet-2332	27	13	respect	respect	NOUN
cet-2332	27	14	to	to	ADP
cet-2332	27	15	the	the	DET
cet-2332	27	16	cylindrical	cylindrical	ADJ
cet-2332	27	17	coordinate	coordinate	NOUN
cet-2332	27	18	system	system	NOUN
cet-2332	27	19	proposed	propose	VERB
cet-2332	27	20	.	.	PUNCT
cet-2332	28	1	3	3	X
cet-2332	28	2	.	.	X
cet-2332	28	3	there	there	PRON
cet-2332	28	4	are	be	VERB
cet-2332	28	5	n	n	DET
cet-2332	28	6	planes	plane	NOUN
cet-2332	28	7	with	with	ADP
cet-2332	28	8	the	the	DET
cet-2332	28	9	same	same	ADJ
cet-2332	28	10	form	form	NOUN
cet-2332	28	11	of	of	ADP
cet-2332	28	12	particle	particle	NOUN
cet-2332	28	13	distribution	distribution	NOUN
cet-2332	28	14	.	.	PUNCT
cet-2332	29	1	4	4	X
cet-2332	29	2	.	.	X
cet-2332	29	3	the	the	DET
cet-2332	29	4	incident	incident	NOUN
cet-2332	29	5	rays	ray	NOUN
cet-2332	29	6	will	will	AUX
cet-2332	29	7	be	be	AUX
cet-2332	29	8	reflected	reflect	VERB
cet-2332	29	9	at	at	ADP
cet-2332	29	10	an	an	DET
cet-2332	29	11	angle	angle	NOUN
cet-2332	29	12	θ	θ	PROPN
cet-2332	29	13	with	with	ADP
cet-2332	29	14	respect	respect	NOUN
cet-2332	29	15	to	to	ADP
cet-2332	29	16	the	the	DET
cet-2332	29	17	radial	radial	ADJ
cet-2332	29	18	direction	direction	NOUN
cet-2332	29	19	.	.	PUNCT
cet-2332	30	1	5	5	X
cet-2332	30	2	.	.	X
cet-2332	30	3	the	the	DET
cet-2332	30	4	catalyst	catalyst	NOUN
cet-2332	30	5	absorbs	absorb	VERB
cet-2332	30	6	all	all	DET
cet-2332	30	7	the	the	DET
cet-2332	30	8	local	local	ADJ
cet-2332	30	9	radiation	radiation	NOUN
cet-2332	30	10	,	,	PUNCT
cet-2332	30	11	because	because	SCONJ
cet-2332	30	12	of	of	ADP
cet-2332	30	13	this	this	PRON
cet-2332	30	14	it	it	PRON
cet-2332	30	15	becomes	become	VERB
cet-2332	30	16	necessary	necessary	ADJ
cet-2332	30	17	to	to	PART
cet-2332	30	18	calculate	calculate	VERB
cet-2332	30	19	the	the	DET
cet-2332	30	20	attenuation	attenuation	NOUN
cet-2332	30	21	factor	factor	NOUN
cet-2332	30	22	of	of	ADP
cet-2332	30	23	the	the	DET
cet-2332	30	24	electromagnetic	electromagnetic	ADJ
cet-2332	30	25	waves	wave	NOUN
cet-2332	30	26	in	in	ADP
cet-2332	30	27	the	the	DET
cet-2332	30	28	medium	medium	NOUN
cet-2332	30	29	.	.	PUNCT
cet-2332	31	1	6	6	X
cet-2332	31	2	.	.	X
cet-2332	31	3	there	there	PRON
cet-2332	31	4	is	be	VERB
cet-2332	31	5	no	no	DET
cet-2332	31	6	emission	emission	NOUN
cet-2332	31	7	by	by	ADP
cet-2332	31	8	the	the	DET
cet-2332	31	9	heterogeneous	heterogeneous	ADJ
cet-2332	31	10	system	system	NOUN
cet-2332	31	11	.	.	PUNCT
cet-2332	32	1	3	3	X
cet-2332	32	2	.	.	NOUN
cet-2332	32	3	results	result	NOUN
cet-2332	32	4	and	and	CCONJ
cet-2332	32	5	discussion	discussion	VERB
cet-2332	32	6	the	the	DET
cet-2332	32	7	maxwell	maxwell	PROPN
cet-2332	32	8	's	's	PART
cet-2332	32	9	equations	equation	NOUN
cet-2332	32	10	are	be	AUX
cet-2332	32	11	a	a	DET
cet-2332	32	12	set	set	NOUN
cet-2332	32	13	of	of	ADP
cet-2332	32	14	physical	physical	ADJ
cet-2332	32	15	-	-	PUNCT
cet-2332	32	16	mathematical	mathematical	ADJ
cet-2332	32	17	descriptions	description	NOUN
cet-2332	32	18	that	that	PRON
cet-2332	32	19	represent	represent	VERB
cet-2332	32	20	any	any	DET
cet-2332	32	21	classical	classical	ADJ
cet-2332	32	22	phenomena	phenomenon	NOUN
cet-2332	32	23	of	of	ADP
cet-2332	32	24	nature	nature	NOUN
cet-2332	32	25	either	either	CCONJ
cet-2332	32	26	electric	electric	PROPN
cet-2332	32	27	,	,	PUNCT
cet-2332	32	28	magnetic	magnetic	ADJ
cet-2332	32	29	or	or	CCONJ
cet-2332	32	30	electromagnetic	electromagnetic	ADJ
cet-2332	32	31	character	character	NOUN
cet-2332	32	32	.	.	PUNCT
cet-2332	33	1	the	the	DET
cet-2332	33	2	phenomenon	phenomenon	NOUN
cet-2332	33	3	of	of	ADP
cet-2332	33	4	light	light	ADJ
cet-2332	33	5	energy	energy	NOUN
cet-2332	33	6	transport	transport	NOUN
cet-2332	33	7	in	in	ADP
cet-2332	33	8	a	a	DET
cet-2332	33	9	medium	medium	NOUN
cet-2332	33	10	(	(	PUNCT
cet-2332	33	11	as	as	ADP
cet-2332	33	12	in	in	ADP
cet-2332	33	13	the	the	DET
cet-2332	33	14	case	case	NOUN
cet-2332	33	15	of	of	ADP
cet-2332	33	16	radiation	radiation	NOUN
cet-2332	33	17	incident	incident	NOUN
cet-2332	33	18	in	in	ADP
cet-2332	33	19	a	a	DET
cet-2332	33	20	catalyst	catalyst	NOUN
cet-2332	33	21	slurry	slurry	NOUN
cet-2332	33	22	)	)	PUNCT
cet-2332	33	23	can	can	AUX
cet-2332	33	24	be	be	AUX
cet-2332	33	25	described	describe	VERB
cet-2332	33	26	by	by	ADP
cet-2332	33	27	maxwell	maxwell	PROPN
cet-2332	33	28	's	's	PART
cet-2332	33	29	equations	equation	NOUN
cet-2332	33	30	.	.	PUNCT
cet-2332	34	1	they	they	PRON
cet-2332	34	2	offer	offer	VERB
cet-2332	34	3	a	a	DET
cet-2332	34	4	way	way	NOUN
cet-2332	34	5	how	how	SCONJ
cet-2332	34	6	to	to	PART
cet-2332	34	7	predict	predict	VERB
cet-2332	34	8	the	the	DET
cet-2332	34	9	amount	amount	NOUN
cet-2332	34	10	of	of	ADP
cet-2332	34	11	photons	photon	NOUN
cet-2332	34	12	that	that	PRON
cet-2332	34	13	are	be	AUX
cet-2332	34	14	present	present	ADJ
cet-2332	34	15	locally	locally	ADV
cet-2332	34	16	in	in	ADP
cet-2332	34	17	a	a	DET
cet-2332	34	18	medium	medium	NOUN
cet-2332	34	19	radiated	radiate	VERB
cet-2332	34	20	with	with	ADP
cet-2332	34	21	uv	uv	NOUN
cet-2332	34	22	radiation	radiation	NOUN
cet-2332	34	23	.	.	PUNCT
cet-2332	35	1	this	this	DET
cet-2332	35	2	application	application	NOUN
cet-2332	35	3	is	be	AUX
cet-2332	35	4	very	very	ADV
cet-2332	35	5	useful	useful	ADJ
cet-2332	35	6	to	to	PART
cet-2332	35	7	model	model	VERB
cet-2332	35	8	the	the	DET
cet-2332	35	9	lvrpa	lvrpa	NOUN
cet-2332	35	10	in	in	ADP
cet-2332	35	11	suspension	suspension	NOUN
cet-2332	35	12	since	since	SCONJ
cet-2332	35	13	the	the	DET
cet-2332	35	14	photons	photon	NOUN
cet-2332	35	15	are	be	AUX
cet-2332	35	16	corpuscular	corpuscular	ADJ
cet-2332	35	17	representations	representation	NOUN
cet-2332	35	18	of	of	ADP
cet-2332	35	19	electromagnetic	electromagnetic	ADJ
cet-2332	35	20	waves	wave	NOUN
cet-2332	35	21	.	.	PUNCT
cet-2332	36	1	the	the	DET
cet-2332	36	2	procedure	procedure	NOUN
cet-2332	36	3	for	for	ADP
cet-2332	36	4	obtaining	obtain	VERB
cet-2332	36	5	the	the	DET
cet-2332	36	6	model	model	NOUN
cet-2332	36	7	is	be	AUX
cet-2332	36	8	described	describe	VERB
cet-2332	36	9	below	below	ADP
cet-2332	36	10	:	:	PUNCT
cet-2332	36	11	1	1	X
cet-2332	36	12	)	)	PUNCT
cet-2332	36	13	choosing	choose	VERB
cet-2332	36	14	the	the	DET
cet-2332	36	15	flow	flow	NOUN
cet-2332	36	16	models	model	NOUN
cet-2332	36	17	:	:	PUNCT
cet-2332	36	18	the	the	DET
cet-2332	36	19	flow	flow	NOUN
cet-2332	36	20	model	model	NOUN
cet-2332	36	21	represents	represent	VERB
cet-2332	36	22	a	a	DET
cet-2332	36	23	way	way	NOUN
cet-2332	36	24	of	of	ADP
cet-2332	36	25	describing	describe	VERB
cet-2332	36	26	how	how	SCONJ
cet-2332	36	27	photons	photon	NOUN
cet-2332	36	28	interact	interact	VERB
cet-2332	36	29	with	with	ADP
cet-2332	36	30	the	the	DET
cet-2332	36	31	suspension	suspension	NOUN
cet-2332	36	32	.	.	PUNCT
cet-2332	37	1	the	the	DET
cet-2332	37	2	photon	photon	NOUN
cet-2332	37	3	flux	flux	NOUN
cet-2332	37	4	was	be	AUX
cet-2332	37	5	modeled	model	VERB
cet-2332	37	6	assuming	assume	VERB
cet-2332	37	7	the	the	DET
cet-2332	37	8	photons	photon	NOUN
cet-2332	37	9	interact	interact	VERB
cet-2332	37	10	with	with	ADP
cet-2332	37	11	the	the	DET
cet-2332	37	12	medium	medium	NOUN
cet-2332	37	13	and	and	CCONJ
cet-2332	37	14	had	have	VERB
cet-2332	37	15	only	only	ADV
cet-2332	37	16	two	two	NUM
cet-2332	37	17	possible	possible	ADJ
cet-2332	37	18	directions	direction	NOUN
cet-2332	37	19	of	of	ADP
cet-2332	37	20	dispersion	dispersion	NOUN
cet-2332	37	21	(	(	PUNCT
cet-2332	37	22	forward	forward	ADV
cet-2332	37	23	-	-	PUNCT
cet-2332	37	24	back	back	NOUN
cet-2332	37	25	)	)	PUNCT
cet-2332	37	26	(	(	PUNCT
cet-2332	37	27	brucato	brucato	NOUN
cet-2332	37	28	and	and	CCONJ
cet-2332	37	29	rizzuti	rizzuti	NOUN
cet-2332	37	30	,	,	PUNCT
cet-2332	37	31	1997	1997	NUM
cet-2332	37	32	)	)	PUNCT
cet-2332	37	33	.	.	PUNCT
cet-2332	38	1	the	the	DET
cet-2332	38	2	sixflux	sixflux	ADJ
cet-2332	38	3	model	model	NOUN
cet-2332	38	4	represents	represent	VERB
cet-2332	38	5	the	the	DET
cet-2332	38	6	two	two	NUM
cet-2332	38	7	-	-	PUNCT
cet-2332	38	8	flux	flux	NOUN
cet-2332	38	9	model	model	NOUN
cet-2332	38	10	carried	carry	VERB
cet-2332	38	11	to	to	ADP
cet-2332	38	12	three	three	NUM
cet-2332	38	13	rectangular	rectangular	ADJ
cet-2332	38	14	coordinates	coordinate	NOUN
cet-2332	38	15	such	such	ADJ
cet-2332	38	16	that	that	SCONJ
cet-2332	38	17	there	there	PRON
cet-2332	38	18	would	would	AUX
cet-2332	38	19	be	be	AUX
cet-2332	38	20	six	six	NUM
cet-2332	38	21	possible	possible	ADJ
cet-2332	38	22	dispersion	dispersion	NOUN
cet-2332	38	23	directions	direction	NOUN
cet-2332	38	24	(	(	PUNCT
cet-2332	38	25	six	six	NUM
cet-2332	38	26	-	-	PUNCT
cet-2332	38	27	flux	flux	NOUN
cet-2332	38	28	)	)	PUNCT
cet-2332	38	29	.	.	PUNCT
cet-2332	39	1	this	this	DET
cet-2332	39	2	fact	fact	NOUN
cet-2332	39	3	establishes	establish	VERB
cet-2332	39	4	the	the	DET
cet-2332	39	5	possibility	possibility	NOUN
cet-2332	39	6	of	of	ADP
cet-2332	39	7	having	have	VERB
cet-2332	39	8	the	the	DET
cet-2332	39	9	six	six	NUM
cet-2332	39	10	-	-	PUNCT
cet-2332	39	11	flux	flux	NOUN
cet-2332	39	12	model	model	NOUN
cet-2332	39	13	not	not	PART
cet-2332	39	14	in	in	ADP
cet-2332	39	15	cartesian	cartesian	ADJ
cet-2332	39	16	coordinates	coordinate	NOUN
cet-2332	39	17	but	but	CCONJ
cet-2332	39	18	in	in	ADP
cet-2332	39	19	cylindrical	cylindrical	ADJ
cet-2332	39	20	coordinates	coordinate	NOUN
cet-2332	39	21	.	.	PUNCT
cet-2332	40	1	2	2	X
cet-2332	40	2	)	)	PUNCT
cet-2332	40	3	substitute	substitute	NOUN
cet-2332	40	4	for	for	ADP
cet-2332	40	5	derivation	derivation	NOUN
cet-2332	40	6	:	:	PUNCT
cet-2332	40	7	a	a	DET
cet-2332	40	8	mathematical	mathematical	ADJ
cet-2332	40	9	development	development	NOUN
cet-2332	40	10	to	to	PART
cet-2332	40	11	establish	establish	VERB
cet-2332	40	12	the	the	DET
cet-2332	40	13	appropriate	appropriate	ADJ
cet-2332	40	14	substitute	substitute	NOUN
cet-2332	40	15	for	for	ADP
cet-2332	40	16	total	total	ADJ
cet-2332	40	17	derivation	derivation	NOUN
cet-2332	40	18	(	(	PUNCT
cet-2332	40	19	rate	rate	NOUN
cet-2332	40	20	of	of	ADP
cet-2332	40	21	change	change	NOUN
cet-2332	40	22	in	in	ADP
cet-2332	40	23	one	one	NUM
cet-2332	40	24	dimension	dimension	NOUN
cet-2332	40	25	)	)	PUNCT
cet-2332	40	26	was	be	AUX
cet-2332	40	27	presented	present	VERB
cet-2332	40	28	.	.	PUNCT
cet-2332	41	1	it	it	PRON
cet-2332	41	2	was	be	AUX
cet-2332	41	3	established	establish	VERB
cet-2332	41	4	that	that	SCONJ
cet-2332	41	5	the	the	DET
cet-2332	41	6	adequate	adequate	ADJ
cet-2332	41	7	substitute	substitute	NOUN
cet-2332	41	8	for	for	ADP
cet-2332	41	9	the	the	DET
cet-2332	41	10	one	one	NUM
cet-2332	41	11	-	-	PUNCT
cet-2332	41	12	dimensional	dimensional	ADJ
cet-2332	41	13	derivative	derivative	NOUN
cet-2332	41	14	is	be	AUX
cet-2332	41	15	the	the	DET
cet-2332	41	16	divergence	divergence	NOUN
cet-2332	41	17	.	.	PUNCT
cet-2332	42	1	3	3	X
cet-2332	42	2	)	)	PUNCT
cet-2332	42	3	proposed	propose	VERB
cet-2332	42	4	model	model	NOUN
cet-2332	42	5	:	:	PUNCT
cet-2332	42	6	two	two	NUM
cet-2332	42	7	-	-	PUNCT
cet-2332	42	8	flux	flux	NOUN
cet-2332	42	9	and	and	CCONJ
cet-2332	42	10	six	six	NUM
cet-2332	42	11	-	-	PUNCT
cet-2332	42	12	flux	flux	NOUN
cet-2332	42	13	models	model	NOUN
cet-2332	42	14	represent	represent	VERB
cet-2332	42	15	approximations	approximation	NOUN
cet-2332	42	16	of	of	ADP
cet-2332	42	17	how	how	SCONJ
cet-2332	42	18	photons	photon	NOUN
cet-2332	42	19	interact	interact	VERB
cet-2332	42	20	with	with	ADP
cet-2332	42	21	the	the	DET
cet-2332	42	22	medium	medium	NOUN
cet-2332	42	23	.	.	PUNCT
cet-2332	43	1	it	it	PRON
cet-2332	43	2	was	be	AUX
cet-2332	43	3	then	then	ADV
cet-2332	43	4	proposed	propose	VERB
cet-2332	43	5	that	that	SCONJ
cet-2332	43	6	the	the	DET
cet-2332	43	7	photon	photon	NOUN
cet-2332	43	8	flux	flux	NOUN
cet-2332	43	9	per	per	ADP
cet-2332	43	10	unit	unit	NOUN
cet-2332	43	11	area	area	NOUN
cet-2332	43	12	impacting	impact	VERB
cet-2332	43	13	the	the	DET
cet-2332	43	14	particle	particle	NOUN
cet-2332	43	15	should	should	AUX
cet-2332	43	16	be	be	AUX
cet-2332	43	17	proportional	proportional	ADJ
cet-2332	43	18	to	to	ADP
cet-2332	43	19	the	the	DET
cet-2332	43	20	number	number	NOUN
cet-2332	43	21	of	of	ADP
cet-2332	43	22	photons	photon	NOUN
cet-2332	43	23	that	that	PRON
cet-2332	43	24	penetrate	penetrate	VERB
cet-2332	43	25	the	the	DET
cet-2332	43	26	suspension	suspension	NOUN
cet-2332	43	27	.	.	PUNCT
cet-2332	44	1	4	4	X
cet-2332	44	2	)	)	PUNCT
cet-2332	44	3	the	the	DET
cet-2332	44	4	proposed	propose	VERB
cet-2332	44	5	equation	equation	NOUN
cet-2332	44	6	solution	solution	NOUN
cet-2332	44	7	:	:	PUNCT
cet-2332	44	8	taking	take	VERB
cet-2332	44	9	the	the	DET
cet-2332	44	10	divergence	divergence	NOUN
cet-2332	44	11	in	in	ADP
cet-2332	44	12	cylindrical	cylindrical	ADJ
cet-2332	44	13	coordinates	coordinate	NOUN
cet-2332	44	14	,	,	PUNCT
cet-2332	44	15	the	the	DET
cet-2332	44	16	partial	partial	ADJ
cet-2332	44	17	differential	differential	NOUN
cet-2332	44	18	equation	equation	NOUN
cet-2332	44	19	was	be	AUX
cet-2332	44	20	solved	solve	VERB
cet-2332	44	21	using	use	VERB
cet-2332	44	22	the	the	DET
cet-2332	44	23	fourier	fourier	ADJ
cet-2332	44	24	variable	variable	ADJ
cet-2332	44	25	separation	separation	NOUN
cet-2332	44	26	method	method	NOUN
cet-2332	44	27	.	.	PUNCT
cet-2332	45	1	where	where	SCONJ
cet-2332	45	2	appeared	appear	VERB
cet-2332	45	3	a	a	DET
cet-2332	45	4	constant	constant	ADJ
cet-2332	45	5	(	(	PUNCT
cet-2332	45	6	dependent	dependent	ADJ
cet-2332	45	7	on	on	ADP
cet-2332	45	8	the	the	DET
cet-2332	45	9	initial	initial	ADJ
cet-2332	45	10	conditions	condition	NOUN
cet-2332	45	11	)	)	PUNCT
cet-2332	45	12	and	and	CCONJ
cet-2332	45	13	an	an	DET
cet-2332	45	14	own	own	ADJ
cet-2332	45	15	value	value	NOUN
cet-2332	45	16	(	(	PUNCT
cet-2332	45	17	dependent	dependent	ADJ
cet-2332	45	18	on	on	ADP
cet-2332	45	19	the	the	DET
cet-2332	45	20	boundary	boundary	ADJ
cet-2332	45	21	conditions	condition	NOUN
cet-2332	45	22	)	)	PUNCT
cet-2332	45	23	,	,	PUNCT
cet-2332	45	24	which	which	PRON
cet-2332	45	25	should	should	AUX
cet-2332	45	26	be	be	AUX
cet-2332	45	27	determined	determine	VERB
cet-2332	45	28	to	to	PART
cet-2332	45	29	obtain	obtain	VERB
cet-2332	45	30	the	the	DET
cet-2332	45	31	proposed	propose	VERB
cet-2332	45	32	electromagnetic	electromagnetic	NOUN
cet-2332	45	33	model	model	NOUN
cet-2332	45	34	,	,	PUNCT
cet-2332	45	35	which	which	PRON
cet-2332	45	36	clearly	clearly	ADV
cet-2332	45	37	represents	represent	VERB
cet-2332	45	38	a	a	DET
cet-2332	45	39	new	new	ADJ
cet-2332	45	40	way	way	NOUN
cet-2332	45	41	of	of	ADP
cet-2332	45	42	dealing	deal	VERB
cet-2332	45	43	with	with	ADP
cet-2332	45	44	the	the	DET
cet-2332	45	45	problem	problem	NOUN
cet-2332	45	46	.	.	PUNCT
cet-2332	46	1	5	5	X
cet-2332	46	2	)	)	PUNCT
cet-2332	46	3	determination	determination	NOUN
cet-2332	46	4	of	of	ADP
cet-2332	46	5	constants	constant	NOUN
cet-2332	46	6	:	:	PUNCT
cet-2332	46	7	in	in	ADP
cet-2332	46	8	order	order	NOUN
cet-2332	46	9	to	to	PART
cet-2332	46	10	determine	determine	VERB
cet-2332	46	11	the	the	DET
cet-2332	46	12	constants	constant	NOUN
cet-2332	46	13	,	,	PUNCT
cet-2332	46	14	the	the	DET
cet-2332	46	15	concepts	concept	NOUN
cet-2332	46	16	of	of	ADP
cet-2332	46	17	attenuation	attenuation	NOUN
cet-2332	46	18	,	,	PUNCT
cet-2332	46	19	phase	phase	NOUN
cet-2332	46	20	and	and	CCONJ
cet-2332	46	21	propagation	propagation	NOUN
cet-2332	46	22	factor	factor	NOUN
cet-2332	46	23	were	be	AUX
cet-2332	46	24	applied	apply	VERB
cet-2332	46	25	in	in	ADP
cet-2332	46	26	a	a	DET
cet-2332	46	27	medium	medium	NOUN
cet-2332	46	28	where	where	SCONJ
cet-2332	46	29	the	the	DET
cet-2332	46	30	density	density	NOUN
cet-2332	46	31	or	or	CCONJ
cet-2332	46	32	distribution	distribution	NOUN
cet-2332	46	33	of	of	ADP
cet-2332	46	34	charges	charge	NOUN
cet-2332	46	35	is	be	AUX
cet-2332	46	36	not	not	PART
cet-2332	46	37	significant	significant	ADJ
cet-2332	46	38	.	.	PUNCT
cet-2332	47	1	the	the	DET
cet-2332	47	2	attenuation	attenuation	NOUN
cet-2332	47	3	and	and	CCONJ
cet-2332	47	4	phase	phase	NOUN
cet-2332	47	5	factors	factor	NOUN
cet-2332	47	6	are	be	AUX
cet-2332	47	7	related	relate	VERB
cet-2332	47	8	to	to	ADP
cet-2332	47	9	the	the	DET
cet-2332	47	10	constants	constant	NOUN
cet-2332	47	11	.	.	PUNCT
cet-2332	48	1	consider	consider	VERB
cet-2332	48	2	a	a	DET
cet-2332	48	3	vector	vector	NOUN
cet-2332	48	4	field	field	NOUN
cet-2332	48	5	in	in	ADP
cet-2332	48	6	ℝ3	ℝ3	PROPN
cet-2332	48	7	,	,	PUNCT
cet-2332	48	8	1610	1610	NUM
cet-2332	48	9	𝑈(𝑥	𝑈(𝑥	PROPN
cet-2332	48	10	,	,	PUNCT
cet-2332	48	11	𝑦	𝑦	NOUN
cet-2332	48	12	,	,	PUNCT
cet-2332	48	13	𝑧	𝑧	NOUN
cet-2332	48	14	)	)	PUNCT
cet-2332	48	15	=	=	SYM
cet-2332	48	16	𝑢(𝑥	𝑢(𝑥	PROPN
cet-2332	48	17	,	,	PUNCT
cet-2332	48	18	𝑦	𝑦	NOUN
cet-2332	48	19	,	,	PUNCT
cet-2332	48	20	𝑧)𝑒1̂	𝑧)𝑒1̂	NOUN
cet-2332	48	21	+	+	CCONJ
cet-2332	48	22	𝑣(𝑥	𝑣(𝑥	PROPN
cet-2332	48	23	,	,	PUNCT
cet-2332	48	24	𝑦	𝑦	NOUN
cet-2332	48	25	,	,	PUNCT
cet-2332	48	26	𝑧)𝑒2̂	𝑧)𝑒2̂	PROPN
cet-2332	49	1	+	+	CCONJ
cet-2332	49	2	𝑤(𝑥	𝑤(𝑥	X
cet-2332	49	3	,	,	PUNCT
cet-2332	49	4	𝑦	𝑦	NOUN
cet-2332	49	5	,	,	PUNCT
cet-2332	49	6	𝑧)𝑒3̂	𝑧)𝑒3̂	ADV
cet-2332	49	7	(	(	PUNCT
cet-2332	49	8	1	1	NUM
cet-2332	49	9	)	)	PUNCT
cet-2332	49	10	where	where	SCONJ
cet-2332	49	11	the	the	DET
cet-2332	49	12	vectors	vector	NOUN
cet-2332	49	13	{	{	PUNCT
cet-2332	49	14	𝑒1̂	𝑒1̂	PROPN
cet-2332	49	15	,	,	PUNCT
cet-2332	49	16	𝑒2̂	𝑒2̂	NOUN
cet-2332	49	17	,	,	PUNCT
cet-2332	49	18	𝑒3̂	𝑒3̂	NOUN
cet-2332	49	19	}	}	PUNCT
cet-2332	49	20	are	be	AUX
cet-2332	49	21	a	a	DET
cet-2332	49	22	canonical	canonical	ADJ
cet-2332	49	23	basis	basis	NOUN
cet-2332	49	24	in	in	ADP
cet-2332	49	25	an	an	DET
cet-2332	49	26	orthogonal	orthogonal	ADJ
cet-2332	49	27	curvilinear	curvilinear	NOUN
cet-2332	49	28	coordinate	coordinate	NOUN
cet-2332	49	29	system	system	NOUN
cet-2332	49	30	(	(	PUNCT
cet-2332	49	31	spiegel	spiegel	PROPN
cet-2332	49	32	,	,	PUNCT
cet-2332	49	33	1959	1959	NUM
cet-2332	49	34	)	)	PUNCT
cet-2332	49	35	.	.	PUNCT
cet-2332	50	1	in	in	ADP
cet-2332	50	2	addition	addition	NOUN
cet-2332	50	3	,	,	PUNCT
cet-2332	50	4	assume	assume	VERB
cet-2332	50	5	that	that	SCONJ
cet-2332	50	6	ω	ω	PROPN
cet-2332	50	7	is	be	AUX
cet-2332	50	8	a	a	DET
cet-2332	50	9	bounded	bounded	ADJ
cet-2332	50	10	region	region	NOUN
cet-2332	50	11	of	of	ADP
cet-2332	50	12	ℝ3	ℝ3	PROPN
cet-2332	50	13	and	and	CCONJ
cet-2332	50	14	additionally	additionally	ADV
cet-2332	50	15	the	the	DET
cet-2332	50	16	regularity	regularity	NOUN
cet-2332	50	17	of	of	ADP
cet-2332	50	18	the	the	DET
cet-2332	50	19	function	function	NOUN
cet-2332	50	20	𝑈	𝑈	PROPN
cet-2332	50	21	of	of	ADP
cet-2332	50	22	ℝ3	ℝ3	PROPN
cet-2332	50	23	in	in	ADP
cet-2332	50	24	ℝ3	ℝ3	PROPN
cet-2332	50	25	that	that	PRON
cet-2332	50	26	defines	define	VERB
cet-2332	50	27	the	the	DET
cet-2332	50	28	field	field	NOUN
cet-2332	50	29	.	.	PUNCT
cet-2332	51	1	this	this	PRON
cet-2332	51	2	means	mean	VERB
cet-2332	51	3	that	that	SCONJ
cet-2332	51	4	𝑈	𝑈	PROPN
cet-2332	51	5	∈	∈	PROPN
cet-2332	51	6	∁1(ℝ3	∁1(ℝ3	NOUN
cet-2332	51	7	)	)	PUNCT
cet-2332	51	8	,	,	PUNCT
cet-2332	51	9	which	which	PRON
cet-2332	51	10	means	mean	VERB
cet-2332	51	11	that	that	SCONJ
cet-2332	51	12	𝑈	𝑈	PROPN
cet-2332	51	13	and	and	CCONJ
cet-2332	51	14	its	its	PRON
cet-2332	51	15	first	first	ADJ
cet-2332	51	16	-	-	PUNCT
cet-2332	51	17	order	order	NOUN
cet-2332	51	18	derivatives	derivative	NOUN
cet-2332	51	19	are	be	AUX
cet-2332	51	20	continuous	continuous	ADJ
cet-2332	51	21	.	.	PUNCT
cet-2332	52	1	applying	apply	VERB
cet-2332	52	2	the	the	DET
cet-2332	52	3	taylor	taylor	PROPN
cet-2332	52	4	theorem	theorem	PROPN
cet-2332	52	5	,	,	PUNCT
cet-2332	52	6	we	we	PRON
cet-2332	52	7	have	have	VERB
cet-2332	52	8	in	in	ADP
cet-2332	52	9	equation	equation	NOUN
cet-2332	52	10	.	.	PUNCT
cet-2332	53	1	1	1	NUM
cet-2332	53	2	𝑈(	𝑈(	PROPN
cet-2332	53	3	�	�	NOUN
cet-2332	53	4	⃗	⃗	PROPN
cet-2332	53	5	�	�	PROPN
cet-2332	53	6	+	+	CCONJ
cet-2332	53	7	ℎ⃗⃗	ℎ⃗⃗	PROPN
cet-2332	53	8	)	)	PUNCT
cet-2332	53	9	=	=	SYM
cet-2332	53	10	𝑈(	𝑈(	VERB
cet-2332	53	11	�	�	PROPN
cet-2332	53	12	⃗	⃗	NOUN
cet-2332	53	13	�	�	PROPN
cet-2332	53	14	)	)	PUNCT
cet-2332	53	15	+	+	PROPN
cet-2332	53	16	𝐽𝑧𝑈(	𝐽𝑧𝑈(	PROPN
cet-2332	53	17	�	�	NOUN
cet-2332	53	18	⃗	⃗	NOUN
cet-2332	53	19	�	�	PROPN
cet-2332	53	20	)ℎ⃗⃗	)ℎ⃗⃗	PUNCT
cet-2332	53	21	+	+	NUM
cet-2332	53	22	𝑜	𝑜	SYM
cet-2332	53	23	(	(	PUNCT
cet-2332	53	24	|ℎ⃗⃗|	|ℎ⃗⃗|	NOUN
cet-2332	53	25	2	2	NUM
cet-2332	53	26	)	)	PUNCT
cet-2332	53	27	(	(	PUNCT
cet-2332	53	28	2	2	X
cet-2332	53	29	)	)	PUNCT
cet-2332	53	30	where	where	SCONJ
cet-2332	53	31	�	�	NOUN
cet-2332	53	32	⃗	⃗	X
cet-2332	53	33	�	�	NOUN
cet-2332	53	34	=	=	SYM
cet-2332	53	35	(	(	PUNCT
cet-2332	53	36	𝑥	𝑥	PROPN
cet-2332	53	37	,	,	PUNCT
cet-2332	53	38	𝑦	𝑦	NOUN
cet-2332	53	39	,	,	PUNCT
cet-2332	53	40	𝑧	𝑧	NOUN
cet-2332	53	41	)	)	PUNCT
cet-2332	53	42	,	,	PUNCT
cet-2332	53	43	ℎ⃗⃗	ℎ⃗⃗	PROPN
cet-2332	53	44	=	=	PUNCT
cet-2332	53	45	(	(	PUNCT
cet-2332	53	46	ℎ1	ℎ1	PROPN
cet-2332	53	47	,	,	PUNCT
cet-2332	53	48	ℎ2	ℎ2	NOUN
cet-2332	53	49	,	,	PUNCT
cet-2332	53	50	ℎ3	ℎ3	NOUN
cet-2332	53	51	)	)	PUNCT
cet-2332	53	52	and	and	CCONJ
cet-2332	53	53	𝐽𝑧𝑈(	𝐽𝑧𝑈(	PROPN
cet-2332	53	54	�	�	PROPN
cet-2332	53	55	⃗	⃗	NOUN
cet-2332	53	56	�	�	PROPN
cet-2332	53	57	)	)	PUNCT
cet-2332	53	58	is	be	AUX
cet-2332	53	59	the	the	DET
cet-2332	53	60	jacobian	jacobian	NOUN
cet-2332	53	61	of	of	ADP
cet-2332	53	62	𝑈	𝑈	PROPN
cet-2332	53	63	at	at	ADP
cet-2332	53	64	the	the	DET
cet-2332	53	65	point	point	NOUN
cet-2332	53	66	�	�	PROPN
cet-2332	53	67	⃗	⃗	NOUN
cet-2332	53	68	�	�	PROPN
cet-2332	53	69	.	.	PUNCT
cet-2332	54	1	if	if	SCONJ
cet-2332	54	2	ℎ⃗⃗	ℎ⃗⃗	PROPN
cet-2332	54	3	→	→	SYM
cet-2332	54	4	0	0	NUM
cet-2332	54	5	we	we	PRON
cet-2332	54	6	can	can	AUX
cet-2332	54	7	take	take	VERB
cet-2332	54	8	𝑈(	𝑈(	PROPN
cet-2332	54	9	�	�	PROPN
cet-2332	54	10	⃗	⃗	NOUN
cet-2332	54	11	�	�	PROPN
cet-2332	54	12	)	)	PUNCT
cet-2332	55	1	+	+	PROPN
cet-2332	55	2	𝐽𝑧𝑈(	𝐽𝑧𝑈(	PROPN
cet-2332	55	3	�	�	NOUN
cet-2332	55	4	⃗	⃗	NOUN
cet-2332	55	5	�	�	PROPN
cet-2332	55	6	)ℎ⃗⃗	)ℎ⃗⃗	PUNCT
cet-2332	55	7	as	as	ADP
cet-2332	55	8	the	the	DET
cet-2332	55	9	approximate	approximate	ADJ
cet-2332	55	10	value	value	NOUN
cet-2332	55	11	of	of	ADP
cet-2332	55	12	𝑈(	𝑈(	PROPN
cet-2332	55	13	�	�	PROPN
cet-2332	55	14	⃗	⃗	PROPN
cet-2332	55	15	�	�	PROPN
cet-2332	55	16	+	+	CCONJ
cet-2332	55	17	ℎ⃗⃗	ℎ⃗⃗	PROPN
cet-2332	55	18	)	)	PUNCT
cet-2332	55	19	.	.	PUNCT
cet-2332	56	1	𝑈(	𝑈(	PROPN
cet-2332	56	2	�	�	PROPN
cet-2332	56	3	⃗	⃗	PROPN
cet-2332	56	4	�	�	PROPN
cet-2332	56	5	)	)	PUNCT
cet-2332	56	6	represents	represent	VERB
cet-2332	56	7	a	a	DET
cet-2332	56	8	translation	translation	NOUN
cet-2332	56	9	,	,	PUNCT
cet-2332	56	10	whereas	whereas	SCONJ
cet-2332	56	11	𝐽𝑧𝑈(	𝐽𝑧𝑈(	PROPN
cet-2332	56	12	�	�	PROPN
cet-2332	56	13	⃗	⃗	NOUN
cet-2332	56	14	�	�	PROPN
cet-2332	56	15	)ℎ⃗⃗	)ℎ⃗⃗	PUNCT
cet-2332	56	16	is	be	AUX
cet-2332	56	17	written	write	VERB
cet-2332	56	18	as	as	ADP
cet-2332	56	19	𝐽𝑧𝑈(	𝐽𝑧𝑈(	PROPN
cet-2332	56	20	�	�	PROPN
cet-2332	56	21	⃗	⃗	NOUN
cet-2332	56	22	�	�	PROPN
cet-2332	56	23	)ℎ⃗⃗	)ℎ⃗⃗	SYM
cet-2332	56	24	=	=	PUNCT
cet-2332	56	25	(	(	PUNCT
cet-2332	56	26	𝑢𝑥	𝑢𝑥	ADP
cet-2332	56	27	𝑢𝑦	𝑢𝑦	INTJ
cet-2332	56	28	𝑢𝑧	𝑢𝑧	PROPN
cet-2332	57	1	𝑣𝑥	𝑣𝑥	INTJ
cet-2332	57	2	𝑣𝑦	𝑣𝑦	NOUN
cet-2332	57	3	𝑣𝑧	𝑣𝑧	VERB
cet-2332	57	4	𝑤𝑥	𝑤𝑥	ADV
cet-2332	57	5	𝑤𝑦	𝑤𝑦	INTJ
cet-2332	57	6	𝑤𝑧	𝑤𝑧	ADP
cet-2332	57	7	)	)	PUNCT
cet-2332	57	8	(	(	PUNCT
cet-2332	57	9	ℎ1	ℎ1	PROPN
cet-2332	57	10	ℎ2	ℎ2	ADJ
cet-2332	57	11	ℎ3	ℎ3	NOUN
cet-2332	57	12	)	)	PUNCT
cet-2332	57	13	≡	≡	PROPN
cet-2332	57	14	𝐴ℎ⃗⃗	𝐴ℎ⃗⃗	NOUN
cet-2332	58	1	(	(	PUNCT
cet-2332	58	2	3	3	X
cet-2332	58	3	)	)	PUNCT
cet-2332	58	4	considering	consider	VERB
cet-2332	58	5	the	the	DET
cet-2332	58	6	symmetric	symmetric	NOUN
cet-2332	58	7	and	and	CCONJ
cet-2332	58	8	antisymmetric	antisymmetric	ADJ
cet-2332	58	9	part	part	NOUN
cet-2332	58	10	of	of	ADP
cet-2332	58	11	a	a	PRON
cet-2332	58	12	that	that	PRON
cet-2332	58	13	is	be	AUX
cet-2332	58	14	,	,	PUNCT
cet-2332	58	15	𝐷	𝐷	PROPN
cet-2332	58	16	=	=	NOUN
cet-2332	58	17	1	1	NUM
cet-2332	58	18	2	2	NUM
cet-2332	58	19	(	(	PUNCT
cet-2332	58	20	𝐴	𝐴	PROPN
cet-2332	58	21	+	+	CCONJ
cet-2332	58	22	𝐴𝑡	𝐴𝑡	PROPN
cet-2332	58	23	)	)	PUNCT
cet-2332	58	24	𝑦	𝑦	PROPN
cet-2332	58	25	𝑅	𝑅	PROPN
cet-2332	58	26	=	=	NOUN
cet-2332	58	27	1	1	NUM
cet-2332	58	28	2	2	NUM
cet-2332	58	29	(	(	PUNCT
cet-2332	58	30	𝐴	𝐴	PROPN
cet-2332	58	31	−	−	PROPN
cet-2332	58	32	𝐴𝑡	𝐴𝑡	PROPN
cet-2332	58	33	)	)	PUNCT
cet-2332	58	34	(	(	PUNCT
cet-2332	58	35	4	4	X
cet-2332	58	36	)	)	PUNCT
cet-2332	58	37	the	the	DET
cet-2332	58	38	approximate	approximate	ADJ
cet-2332	58	39	value	value	NOUN
cet-2332	58	40	of	of	ADP
cet-2332	58	41	𝑈(	𝑈(	PROPN
cet-2332	58	42	�	�	PROPN
cet-2332	58	43	⃗	⃗	PROPN
cet-2332	58	44	�	�	PROPN
cet-2332	58	45	+	+	CCONJ
cet-2332	58	46	ℎ⃗⃗	ℎ⃗⃗	PROPN
cet-2332	58	47	)	)	PUNCT
cet-2332	58	48	can	can	AUX
cet-2332	58	49	be	be	AUX
cet-2332	58	50	expressed	express	VERB
cet-2332	58	51	as	as	ADP
cet-2332	58	52	𝑈(	𝑈(	PROPN
cet-2332	58	53	�	�	PROPN
cet-2332	58	54	⃗	⃗	NOUN
cet-2332	58	55	�	�	PROPN
cet-2332	58	56	)	)	PUNCT
cet-2332	58	57	=	=	PUNCT
cet-2332	58	58	𝐷ℎ⃗⃗	𝐷ℎ⃗⃗	PROPN
cet-2332	59	1	+	+	CCONJ
cet-2332	59	2	𝑅ℎ⃗⃗	𝑅ℎ⃗⃗	ADJ
cet-2332	59	3	(	(	PUNCT
cet-2332	59	4	5	5	NUM
cet-2332	59	5	)	)	PUNCT
cet-2332	59	6	therefore	therefore	ADV
cet-2332	59	7	𝑇𝑟𝑎𝑐𝑒(𝐷	𝑇𝑟𝑎𝑐𝑒(𝐷	PROPN
cet-2332	59	8	)	)	PUNCT
cet-2332	59	9	=	=	SYM
cet-2332	59	10	∇	∇	X
cet-2332	59	11	∙	∙	PROPN
cet-2332	59	12	𝑈	𝑈	PROPN
cet-2332	59	13	(	(	PUNCT
cet-2332	59	14	6	6	NUM
cet-2332	59	15	)	)	PUNCT
cet-2332	59	16	when	when	SCONJ
cet-2332	59	17	applying	apply	VERB
cet-2332	59	18	an	an	DET
cet-2332	59	19	orthogonal	orthogonal	ADJ
cet-2332	59	20	curvilinear	curvilinear	NOUN
cet-2332	59	21	coordinate	coordinate	NOUN
cet-2332	59	22	change	change	NOUN
cet-2332	59	23	,	,	PUNCT
cet-2332	59	24	the	the	DET
cet-2332	59	25	matrix	matrix	NOUN
cet-2332	59	26	d	d	X
cet-2332	59	27	can	can	AUX
cet-2332	59	28	be	be	AUX
cet-2332	59	29	changed	change	VERB
cet-2332	59	30	into	into	ADP
cet-2332	59	31	a	a	DET
cet-2332	59	32	diagonal	diagonal	ADJ
cet-2332	59	33	matrix	matrix	NOUN
cet-2332	60	1	d	d	NOUN
cet-2332	60	2	of	of	ADP
cet-2332	60	3	the	the	DET
cet-2332	60	4	form	form	NOUN
cet-2332	60	5	�	�	PROPN
cet-2332	60	6	̃	̃	NOUN
cet-2332	60	7	�	�	NOUN
cet-2332	60	8	=	=	SYM
cet-2332	60	9	(	(	PUNCT
cet-2332	60	10	𝑑1	𝑑1	NOUN
cet-2332	60	11	0	0	NUM
cet-2332	60	12	0	0	NUM
cet-2332	60	13	0	0	NUM
cet-2332	61	1	𝑑2	𝑑2	NOUN
cet-2332	61	2	0	0	NUM
cet-2332	61	3	0	0	NUM
cet-2332	61	4	0	0	NUM
cet-2332	61	5	𝑑3	𝑑3	NOUN
cet-2332	61	6	)	)	PUNCT
cet-2332	61	7	(	(	PUNCT
cet-2332	61	8	7	7	X
cet-2332	61	9	)	)	PUNCT
cet-2332	61	10	and	and	CCONJ
cet-2332	61	11	we	we	PRON
cet-2332	61	12	have	have	VERB
cet-2332	61	13	that	that	PRON
cet-2332	61	14	𝑇𝑟𝑎𝑐𝑒(𝐷	𝑇𝑟𝑎𝑐𝑒(𝐷	PROPN
cet-2332	61	15	)	)	PUNCT
cet-2332	62	1	=	=	SYM
cet-2332	62	2	∇	∇	X
cet-2332	62	3	∙	∙	PROPN
cet-2332	62	4	𝑈	𝑈	PROPN
cet-2332	62	5	since	since	SCONJ
cet-2332	62	6	the	the	DET
cet-2332	62	7	trace	trace	NOUN
cet-2332	62	8	is	be	AUX
cet-2332	62	9	an	an	DET
cet-2332	62	10	invariant	invariant	NOUN
cet-2332	62	11	under	under	ADP
cet-2332	62	12	the	the	DET
cet-2332	62	13	transformation	transformation	NOUN
cet-2332	62	14	of	of	ADP
cet-2332	62	15	orthogonal	orthogonal	ADJ
cet-2332	62	16	curvilinear	curvilinear	PROPN
cet-2332	62	17	coordinates	coordinate	NOUN
cet-2332	62	18	.	.	PUNCT
cet-2332	63	1	the	the	DET
cet-2332	63	2	values	value	NOUN
cet-2332	63	3	𝑑𝑖	𝑑𝑖	PRON
cet-2332	63	4	are	be	AUX
cet-2332	63	5	related	relate	VERB
cet-2332	63	6	to	to	ADP
cet-2332	63	7	the	the	DET
cet-2332	63	8	scale	scale	NOUN
cet-2332	63	9	factors	factor	NOUN
cet-2332	63	10	characteristic	characteristic	ADJ
cet-2332	63	11	of	of	ADP
cet-2332	63	12	each	each	DET
cet-2332	63	13	coordinate	coordinate	NOUN
cet-2332	63	14	system	system	NOUN
cet-2332	63	15	.	.	PUNCT
cet-2332	64	1	thus	thus	ADV
cet-2332	64	2	,	,	PUNCT
cet-2332	64	3	𝐷ℎ⃗⃗	𝐷ℎ⃗⃗	PROPN
cet-2332	64	4	is	be	AUX
cet-2332	64	5	interpreted	interpret	VERB
cet-2332	64	6	as	as	ADP
cet-2332	64	7	follows	follow	VERB
cet-2332	64	8	.	.	PUNCT
cet-2332	65	1	let	let	VERB
cet-2332	65	2	po	po	PRON
cet-2332	65	3	be	be	AUX
cet-2332	65	4	a	a	DET
cet-2332	65	5	parallelepiped	parallelepiped	ADJ
cet-2332	65	6	and	and	CCONJ
cet-2332	65	7	p(t	p(t	NOUN
cet-2332	65	8	)	)	PUNCT
cet-2332	65	9	the	the	DET
cet-2332	65	10	evolution	evolution	NOUN
cet-2332	65	11	of	of	ADP
cet-2332	65	12	po	po	PROPN
cet-2332	65	13	at	at	ADP
cet-2332	65	14	time	time	NOUN
cet-2332	65	15	t	t	PROPN
cet-2332	65	16	i.e.	i.e.	X
cet-2332	65	17	,	,	PUNCT
cet-2332	65	18	if	if	SCONJ
cet-2332	65	19	ℎ⃗⃗(𝑡	ℎ⃗⃗(𝑡	PROPN
cet-2332	65	20	)	)	PUNCT
cet-2332	66	1	=	=	PUNCT
cet-2332	66	2	(	(	PUNCT
cet-2332	66	3	ℎ1(𝑡	ℎ1(𝑡	NOUN
cet-2332	66	4	)	)	PUNCT
cet-2332	66	5	,	,	PUNCT
cet-2332	66	6	ℎ2(𝑡	ℎ2(𝑡	PROPN
cet-2332	66	7	)	)	PUNCT
cet-2332	66	8	,	,	PUNCT
cet-2332	66	9	ℎ3(𝑡	ℎ3(𝑡	PROPN
cet-2332	66	10	)	)	PUNCT
cet-2332	66	11	)	)	PUNCT
cet-2332	67	1	𝑡	𝑡	PROPN
cet-2332	67	2	are	be	AUX
cet-2332	67	3	sides	side	NOUN
cet-2332	67	4	of	of	ADP
cet-2332	67	5	p(t	p(t	NOUN
cet-2332	67	6	)	)	PUNCT
cet-2332	67	7	y	y	PROPN
cet-2332	67	8	ℎ⃗⃗0	ℎ⃗⃗0	ADV
cet-2332	67	9	=	=	SYM
cet-2332	67	10	(	(	PUNCT
cet-2332	67	11	ℎ01	ℎ01	PROPN
cet-2332	67	12	,	,	PUNCT
cet-2332	67	13	ℎ02	ℎ02	PROPN
cet-2332	67	14	,	,	PUNCT
cet-2332	67	15	ℎ03)𝑡the	ℎ03)𝑡the	DET
cet-2332	67	16	sides	side	NOUN
cet-2332	67	17	of	of	ADP
cet-2332	67	18	po	po	NOUN
cet-2332	67	19	is	be	AUX
cet-2332	67	20	verified	verify	VERB
cet-2332	67	21	{	{	PUNCT
cet-2332	67	22	𝑑ℎ⃗⃗	𝑑ℎ⃗⃗	PROPN
cet-2332	67	23	𝑑𝑡	𝑑𝑡	ADP
cet-2332	67	24	(	(	PUNCT
cet-2332	67	25	𝑡	𝑡	NOUN
cet-2332	67	26	)	)	PUNCT
cet-2332	67	27	=	=	SYM
cet-2332	67	28	𝐷ℎ⃗⃗(𝑡	𝐷ℎ⃗⃗(𝑡	ADJ
cet-2332	67	29	)	)	PUNCT
cet-2332	67	30	ℎ⃗⃗(0	ℎ⃗⃗(0	NOUN
cet-2332	67	31	)	)	PUNCT
cet-2332	67	32	=	=	PRON
cet-2332	67	33	ℎ⃗⃗0	ℎ⃗⃗0	NOUN
cet-2332	67	34	(	(	PUNCT
cet-2332	67	35	8)	8)	NUM
cet-2332	67	36	the	the	DET
cet-2332	67	37	ℎ̃𝑖	ℎ̃𝑖	NOUN
cet-2332	67	38	,	,	PUNCT
cet-2332	67	39	𝑖	𝑖	PUNCT
cet-2332	67	40	=	=	NOUN
cet-2332	67	41	1,2,3	1,2,3	NUM
cet-2332	67	42	the	the	DET
cet-2332	67	43	transformations	transformation	NOUN
cet-2332	67	44	of	of	ADP
cet-2332	67	45	the	the	DET
cet-2332	67	46	ℎ𝑖	ℎ𝑖	NOUN
cet-2332	67	47	scale	scale	NOUN
cet-2332	67	48	factors	factor	NOUN
cet-2332	67	49	of	of	ADP
cet-2332	67	50	the	the	DET
cet-2332	67	51	transformation	transformation	NOUN
cet-2332	67	52	of	of	ADP
cet-2332	67	53	orthogonal	orthogonal	ADJ
cet-2332	67	54	curvilinear	curvilinear	PROPN
cet-2332	67	55	coordinates	coordinate	NOUN
cet-2332	67	56	.	.	PUNCT
cet-2332	67	57	𝑑ℎ̃𝑖(𝑡	𝑑ℎ̃𝑖(𝑡	PUNCT
cet-2332	67	58	)	)	PUNCT
cet-2332	67	59	𝑑𝑡	𝑑𝑡	ADP
cet-2332	67	60	=	=	PUNCT
cet-2332	67	61	𝑑𝑖ℎ̃𝑖(𝑡	𝑑𝑖ℎ̃𝑖(𝑡	NOUN
cet-2332	67	62	)	)	PUNCT
cet-2332	67	63	,	,	PUNCT
cet-2332	67	64	𝑖	𝑖	SYM
cet-2332	67	65	=	=	NOUN
cet-2332	67	66	1,2,3	1,2,3	NUM
cet-2332	67	67	(	(	PUNCT
cet-2332	67	68	9	9	NUM
cet-2332	67	69	)	)	PUNCT
cet-2332	67	70	and	and	CCONJ
cet-2332	67	71	therefore	therefore	ADV
cet-2332	67	72	,	,	PUNCT
cet-2332	67	73	𝑑	𝑑	NOUN
cet-2332	67	74	𝑑𝑡	𝑑𝑡	ADP
cet-2332	67	75	𝑉𝑜𝑙(𝑃(𝑡	𝑉𝑜𝑙(𝑃(𝑡	NOUN
cet-2332	67	76	)	)	PUNCT
cet-2332	67	77	)	)	PUNCT
cet-2332	68	1	=	=	SYM
cet-2332	68	2	𝑑	𝑑	X
cet-2332	68	3	𝑑𝑡	𝑑𝑡	ADP
cet-2332	68	4	(	(	PUNCT
cet-2332	68	5	ℎ̃1(𝑡	ℎ̃1(𝑡	NOUN
cet-2332	68	6	)	)	PUNCT
cet-2332	68	7	,	,	PUNCT
cet-2332	68	8	ℎ̃2(𝑡	ℎ̃2(𝑡	PROPN
cet-2332	68	9	)	)	PUNCT
cet-2332	68	10	,	,	PUNCT
cet-2332	68	11	ℎ̃3(𝑡	ℎ̃3(𝑡	PROPN
cet-2332	68	12	)	)	PUNCT
cet-2332	68	13	)	)	PUNCT
cet-2332	69	1	=	=	PRON
cet-2332	69	2	(	(	PUNCT
cet-2332	69	3	∑	∑	PROPN
cet-2332	69	4	𝑑𝑖	𝑑𝑖	PROPN
cet-2332	69	5	3	3	NUM
cet-2332	69	6	𝑖=1	𝑖=1	PROPN
cet-2332	69	7	)	)	PUNCT
cet-2332	69	8	(	(	PUNCT
cet-2332	69	9	ℎ̃1(𝑡	ℎ̃1(𝑡	NOUN
cet-2332	69	10	)	)	PUNCT
cet-2332	69	11	,	,	PUNCT
cet-2332	69	12	ℎ̃2(𝑡	ℎ̃2(𝑡	PROPN
cet-2332	69	13	)	)	PUNCT
cet-2332	69	14	,	,	PUNCT
cet-2332	69	15	ℎ̃3(𝑡	ℎ̃3(𝑡	PROPN
cet-2332	69	16	)	)	PUNCT
cet-2332	69	17	)	)	PUNCT
cet-2332	70	1	=	=	PRON
cet-2332	70	2	(	(	PUNCT
cet-2332	70	3	∇	∇	X
cet-2332	70	4	∙	∙	PROPN
cet-2332	70	5	𝑈)𝑉𝑜𝑙(𝑃(𝑡	𝑈)𝑉𝑜𝑙(𝑃(𝑡	NOUN
cet-2332	70	6	)	)	PUNCT
cet-2332	70	7	)	)	PUNCT
cet-2332	70	8	(	(	PUNCT
cet-2332	70	9	10	10	NUM
cet-2332	70	10	)	)	PUNCT
cet-2332	70	11	the	the	DET
cet-2332	70	12	divergence	divergence	NOUN
cet-2332	70	13	measures	measure	NOUN
cet-2332	70	14	the	the	DET
cet-2332	70	15	rate	rate	NOUN
cet-2332	70	16	of	of	ADP
cet-2332	70	17	change	change	NOUN
cet-2332	70	18	of	of	ADP
cet-2332	70	19	volume	volume	NOUN
cet-2332	70	20	associated	associate	VERB
cet-2332	70	21	with	with	ADP
cet-2332	70	22	the	the	DET
cet-2332	70	23	field	field	NOUN
cet-2332	70	24	u.	u.	VERB
cet-2332	70	25	it	it	PRON
cet-2332	70	26	has	have	AUX
cet-2332	70	27	been	be	AUX
cet-2332	70	28	finally	finally	ADV
cet-2332	70	29	possible	possible	ADJ
cet-2332	70	30	to	to	PART
cet-2332	70	31	establish	establish	VERB
cet-2332	70	32	that	that	DET
cet-2332	70	33	substitute	substitute	NOUN
cet-2332	70	34	adequate	adequate	ADJ
cet-2332	70	35	to	to	ADP
cet-2332	70	36	the	the	DET
cet-2332	70	37	derivative	derivative	NOUN
cet-2332	70	38	such	such	ADJ
cet-2332	70	39	as	as	ADP
cet-2332	70	40	rate	rate	NOUN
cet-2332	70	41	of	of	ADP
cet-2332	70	42	change	change	NOUN
cet-2332	70	43	in	in	ADP
cet-2332	70	44	ℝ1	ℝ1	PROPN
cet-2332	70	45	,	,	PUNCT
cet-2332	70	46	is	be	AUX
cet-2332	70	47	the	the	DET
cet-2332	70	48	divergence	divergence	NOUN
cet-2332	70	49	(	(	PUNCT
cet-2332	70	50	peralalonso	peralalonso	PROPN
cet-2332	70	51	,	,	PUNCT
cet-2332	70	52	1995	1995	NUM
cet-2332	70	53	)	)	PUNCT
cet-2332	70	54	.	.	PUNCT
cet-2332	71	1	the	the	DET
cet-2332	71	2	flux	flux	NOUN
cet-2332	71	3	field	field	NOUN
cet-2332	71	4	is	be	AUX
cet-2332	71	5	a	a	DET
cet-2332	71	6	scalar	scalar	ADJ
cet-2332	71	7	quantity	quantity	NOUN
cet-2332	71	8	that	that	PRON
cet-2332	71	9	expresses	express	VERB
cet-2332	71	10	the	the	DET
cet-2332	71	11	measurement	measurement	NOUN
cet-2332	71	12	of	of	ADP
cet-2332	71	13	the	the	DET
cet-2332	71	14	field	field	NOUN
cet-2332	71	15	that	that	PRON
cet-2332	71	16	crosses	cross	VERB
cet-2332	71	17	to	to	ADP
cet-2332	71	18	a	a	DET
cet-2332	71	19	surface	surface	NOUN
cet-2332	71	20	.	.	PUNCT
cet-2332	72	1	such	such	ADJ
cet-2332	72	2	field	field	NOUN
cet-2332	72	3	can	can	AUX
cet-2332	72	4	be	be	AUX
cet-2332	72	5	the	the	DET
cet-2332	72	6	field	field	NOUN
cet-2332	72	7	of	of	ADP
cet-2332	72	8	speeds	speed	NOUN
cet-2332	72	9	,	,	PUNCT
cet-2332	72	10	electric	electric	ADJ
cet-2332	72	11	field	field	NOUN
cet-2332	72	12	,	,	PUNCT
cet-2332	72	13	and	and	CCONJ
cet-2332	72	14	magnetic	magnetic	ADJ
cet-2332	72	15	field	field	NOUN
cet-2332	72	16	among	among	ADP
cet-2332	72	17	others	other	NOUN
cet-2332	72	18	.	.	PUNCT
cet-2332	73	1	the	the	DET
cet-2332	73	2	net	net	ADJ
cet-2332	73	3	field	field	NOUN
cet-2332	73	4	flux	flux	NOUN
cet-2332	73	5	is	be	AUX
cet-2332	73	6	a	a	DET
cet-2332	73	7	measure	measure	NOUN
cet-2332	73	8	of	of	ADP
cet-2332	73	9	the	the	DET
cet-2332	73	10	net	net	ADJ
cet-2332	73	11	number	number	NOUN
cet-2332	73	12	of	of	ADP
cet-2332	73	13	field	field	NOUN
cet-2332	73	14	lines	line	NOUN
cet-2332	73	15	that	that	PRON
cet-2332	73	16	come	come	VERB
cet-2332	73	17	out	out	ADP
cet-2332	73	18	of	of	ADP
cet-2332	73	19	a	a	DET
cet-2332	73	20	closed	closed	ADJ
cet-2332	73	21	surface	surface	NOUN
cet-2332	73	22	under	under	ADP
cet-2332	73	23	the	the	DET
cet-2332	73	24	assumption	assumption	NOUN
cet-2332	73	25	that	that	SCONJ
cet-2332	73	26	the	the	DET
cet-2332	73	27	adequate	adequate	ADJ
cet-2332	73	28	substitute	substitute	NOUN
cet-2332	73	29	in	in	ADP
cet-2332	73	30	ℝ2	ℝ2	PROPN
cet-2332	73	31	for	for	ADP
cet-2332	73	32	the	the	DET
cet-2332	73	33	derivative	derivative	NOUN
cet-2332	73	34	in	in	ADP
cet-2332	73	35	the	the	DET
cet-2332	73	36	divergence	divergence	NOUN
cet-2332	73	37	,	,	PUNCT
cet-2332	73	38	it	it	PRON
cet-2332	73	39	can	can	AUX
cet-2332	73	40	be	be	AUX
cet-2332	73	41	expressed	express	VERB
cet-2332	73	42	that	that	SCONJ
cet-2332	73	43	the	the	DET
cet-2332	73	44	divergence	divergence	NOUN
cet-2332	73	45	of	of	ADP
cet-2332	73	46	the	the	DET
cet-2332	73	47	field	field	NOUN
cet-2332	73	48	is	be	AUX
cet-2332	73	49	proportional	proportional	ADJ
cet-2332	73	50	to	to	ADP
cet-2332	73	51	the	the	DET
cet-2332	73	52	magnitude	magnitude	NOUN
cet-2332	73	53	of	of	ADP
cet-2332	73	54	the	the	DET
cet-2332	73	55	same	same	ADJ
cet-2332	73	56	i.e.	i.e.	X
cet-2332	73	57	it	it	PRON
cet-2332	73	58	is	be	AUX
cet-2332	73	59	a	a	DET
cet-2332	73	60	3d	3d	NUM
cet-2332	73	61	1611	1611	NUM
cet-2332	73	62	extrapolation	extrapolation	NOUN
cet-2332	73	63	to	to	ADP
cet-2332	73	64	what	what	PRON
cet-2332	73	65	is	be	AUX
cet-2332	73	66	commonly	commonly	ADV
cet-2332	73	67	known	know	VERB
cet-2332	73	68	as	as	ADP
cet-2332	73	69	lambert	lambert	PROPN
cet-2332	73	70	law	law	NOUN
cet-2332	73	71	of	of	ADP
cet-2332	73	72	absorption	absorption	NOUN
cet-2332	73	73	.	.	PUNCT
cet-2332	74	1	under	under	ADP
cet-2332	74	2	this	this	DET
cet-2332	74	3	assumption	assumption	NOUN
cet-2332	74	4	and	and	CCONJ
cet-2332	74	5	those	those	PRON
cet-2332	74	6	listed	list	VERB
cet-2332	74	7	in	in	ADP
cet-2332	74	8	the	the	DET
cet-2332	74	9	proposed	propose	VERB
cet-2332	74	10	model	model	NOUN
cet-2332	74	11	,	,	PUNCT
cet-2332	74	12	these	these	DET
cet-2332	74	13	assumptions	assumption	NOUN
cet-2332	74	14	lead	lead	VERB
cet-2332	74	15	to	to	ADP
cet-2332	74	16	the	the	DET
cet-2332	74	17	proposed	propose	VERB
cet-2332	74	18	equation	equation	NOUN
cet-2332	74	19	.	.	PUNCT
cet-2332	75	1	∇⃗⃗⃗	∇⃗⃗⃗	PROPN
cet-2332	75	2	∙	∙	PROPN
cet-2332	75	3	𝐼	𝐼	PROPN
cet-2332	75	4	+	+	PROPN
cet-2332	75	5	𝑘|𝐼|	𝑘|𝐼|	PROPN
cet-2332	75	6	=	=	SYM
cet-2332	75	7	0	0	PROPN
cet-2332	75	8	(	(	PUNCT
cet-2332	75	9	11	11	NUM
cet-2332	75	10	)	)	PUNCT
cet-2332	75	11	the	the	DET
cet-2332	75	12	principle	principle	NOUN
cet-2332	75	13	of	of	ADP
cet-2332	75	14	lambert	lambert	PROPN
cet-2332	75	15	(	(	PUNCT
cet-2332	75	16	equation	equation	NOUN
cet-2332	75	17	11	11	NUM
cet-2332	75	18	)	)	PUNCT
cet-2332	75	19	states	state	VERB
cet-2332	75	20	that	that	SCONJ
cet-2332	75	21	when	when	SCONJ
cet-2332	75	22	a	a	DET
cet-2332	75	23	ray	ray	NOUN
cet-2332	75	24	of	of	ADP
cet-2332	75	25	light	light	NOUN
cet-2332	75	26	passes	pass	VERB
cet-2332	75	27	through	through	ADP
cet-2332	75	28	a	a	DET
cet-2332	75	29	substance	substance	NOUN
cet-2332	75	30	,	,	PUNCT
cet-2332	75	31	the	the	DET
cet-2332	75	32	ratio	ratio	NOUN
cet-2332	75	33	with	with	ADP
cet-2332	75	34	which	which	PRON
cet-2332	75	35	its	its	PRON
cet-2332	75	36	intensity	intensity	NOUN
cet-2332	75	37	decreases	decrease	VERB
cet-2332	75	38	i	i	PRON
cet-2332	75	39	is	be	AUX
cet-2332	75	40	proportional	proportional	ADJ
cet-2332	75	41	to	to	ADP
cet-2332	75	42	i(r	i(r	PROPN
cet-2332	75	43	)	)	PUNCT
cet-2332	75	44	,	,	PUNCT
cet-2332	75	45	where	where	SCONJ
cet-2332	75	46	r	r	NOUN
cet-2332	75	47	represents	represent	VERB
cet-2332	75	48	the	the	DET
cet-2332	75	49	thickness	thickness	NOUN
cet-2332	75	50	of	of	ADP
cet-2332	75	51	the	the	DET
cet-2332	75	52	medium	medium	NOUN
cet-2332	75	53	.	.	PUNCT
cet-2332	76	1	𝑑𝐼	𝑑𝐼	ADJ
cet-2332	76	2	𝑑𝑟	𝑑𝑟	NOUN
cet-2332	76	3	=	=	PUNCT
cet-2332	76	4	−𝛼𝐼	−𝛼𝐼	PROPN
cet-2332	76	5	(	(	PUNCT
cet-2332	76	6	12	12	NUM
cet-2332	76	7	)	)	PUNCT
cet-2332	76	8	in	in	ADP
cet-2332	76	9	orthogonal	orthogonal	ADJ
cet-2332	76	10	curvilinear	curvilinear	PROPN
cet-2332	76	11	coordinates	coordinate	NOUN
cet-2332	76	12	,	,	PUNCT
cet-2332	76	13	lambert	lambert	PROPN
cet-2332	76	14	's	's	PART
cet-2332	76	15	equation	equation	NOUN
cet-2332	76	16	in	in	ADP
cet-2332	76	17	ℝ3	ℝ3	PROPN
cet-2332	76	18	is	be	AUX
cet-2332	76	19	represented	represent	VERB
cet-2332	76	20	∇⃗⃗⃗	∇⃗⃗⃗	PROPN
cet-2332	76	21	∙	∙	PROPN
cet-2332	76	22	𝐼	𝐼	PROPN
cet-2332	76	23	+	+	PROPN
cet-2332	76	24	𝑘|𝐼|	𝑘|𝐼|	PROPN
cet-2332	76	25	=	=	SYM
cet-2332	76	26	1	1	NUM
cet-2332	76	27	𝐽	𝐽	PROPN
cet-2332	76	28	∑	∑	PUNCT
cet-2332	76	29	𝜕	𝜕	PROPN
cet-2332	76	30	𝜕𝑞𝑖	𝜕𝑞𝑖	PUNCT
cet-2332	76	31	(	(	PUNCT
cet-2332	76	32	𝐽𝐼𝑖	𝐽𝐼𝑖	NOUN
cet-2332	76	33	ℎ𝑖	ℎ𝑖	NOUN
cet-2332	76	34	)	)	PUNCT
cet-2332	76	35	3	3	NUM
cet-2332	76	36	𝑖=1	𝑖=1	PUNCT
cet-2332	77	1	+	+	CCONJ
cet-2332	77	2	𝑘𝐼	𝑘𝐼	NUM
cet-2332	77	3	(	(	PUNCT
cet-2332	77	4	13	13	NUM
cet-2332	77	5	)	)	PUNCT
cet-2332	77	6	the	the	DET
cet-2332	77	7	ℎ𝑖	ℎ𝑖	NOUN
cet-2332	77	8	are	be	AUX
cet-2332	77	9	the	the	DET
cet-2332	77	10	scaling	scale	VERB
cet-2332	77	11	factors	factor	NOUN
cet-2332	77	12	in	in	ADP
cet-2332	77	13	the	the	DET
cet-2332	77	14	coordinate	coordinate	NOUN
cet-2332	77	15	transformation	transformation	NOUN
cet-2332	77	16	.	.	PUNCT
cet-2332	78	1	the	the	DET
cet-2332	78	2	values	value	NOUN
cet-2332	78	3	corresponding	correspond	VERB
cet-2332	78	4	to	to	ADP
cet-2332	78	5	the	the	DET
cet-2332	78	6	cylindrical	cylindrical	ADJ
cet-2332	78	7	coordinates	coordinate	NOUN
cet-2332	78	8	(	(	PUNCT
cet-2332	78	9	condition	condition	NOUN
cet-2332	78	10	1	1	NUM
cet-2332	78	11	)	)	PUNCT
cet-2332	78	12	are	be	AUX
cet-2332	78	13	ℎ𝑟	ℎ𝑟	ADP
cet-2332	78	14	=	=	NOUN
cet-2332	78	15	1	1	NUM
cet-2332	78	16	;	;	PUNCT
cet-2332	78	17	ℎ𝜃	ℎ𝜃	ADP
cet-2332	78	18	=	=	SYM
cet-2332	78	19	𝑟	𝑟	NOUN
cet-2332	78	20	;	;	PUNCT
cet-2332	78	21	ℎ𝑧	ℎ𝑧	NOUN
cet-2332	78	22	=	=	SYM
cet-2332	78	23	1	1	NUM
cet-2332	78	24	whereby	whereby	SCONJ
cet-2332	78	25	eq	eq	ADJ
cet-2332	78	26	.	.	PROPN
cet-2332	78	27	13	13	NUM
cet-2332	78	28	takes	take	VERB
cet-2332	78	29	the	the	DET
cet-2332	78	30	form	form	NOUN
cet-2332	78	31	1	1	NUM
cet-2332	78	32	𝑟	𝑟	NOUN
cet-2332	78	33	{	{	PUNCT
cet-2332	78	34	𝜕	𝜕	PROPN
cet-2332	78	35	𝜕𝑟	𝜕𝑟	PROPN
cet-2332	78	36	(	(	PUNCT
cet-2332	78	37	𝑟𝐼	𝑟𝐼	NOUN
cet-2332	78	38	)	)	PUNCT
cet-2332	78	39	+	+	NUM
cet-2332	78	40	𝜕	𝜕	NOUN
cet-2332	78	41	𝜕𝜃	𝜕𝜃	NOUN
cet-2332	78	42	(	(	PUNCT
cet-2332	78	43	𝐼	𝐼	PROPN
cet-2332	78	44	)	)	PUNCT
cet-2332	78	45	+	+	NOUN
cet-2332	78	46	𝜕	𝜕	PROPN
cet-2332	78	47	𝜕𝑧	𝜕𝑧	PROPN
cet-2332	78	48	(	(	PUNCT
cet-2332	78	49	𝐼	𝐼	PROPN
cet-2332	78	50	)	)	PUNCT
cet-2332	78	51	}	}	PUNCT
cet-2332	79	1	+	+	PUNCT
cet-2332	79	2	𝑘𝐼	𝑘𝐼	X
cet-2332	79	3	=	=	SYM
cet-2332	79	4	0	0	NUM
cet-2332	79	5	(	(	PUNCT
cet-2332	79	6	14	14	NUM
cet-2332	79	7	)	)	PUNCT
cet-2332	79	8	by	by	ADP
cet-2332	79	9	the	the	DET
cet-2332	79	10	conditions	condition	NOUN
cet-2332	79	11	exposed	expose	VERB
cet-2332	79	12	in	in	ADP
cet-2332	79	13	the	the	DET
cet-2332	79	14	model	model	NOUN
cet-2332	79	15	(	(	PUNCT
cet-2332	79	16	condition	condition	NOUN
cet-2332	79	17	3	3	NUM
cet-2332	79	18	)	)	PUNCT
cet-2332	79	19	,	,	PUNCT
cet-2332	79	20	eq	eq	NOUN
cet-2332	79	21	.	.	PROPN
cet-2332	79	22	14	14	NUM
cet-2332	79	23	does	do	AUX
cet-2332	79	24	not	not	PART
cet-2332	79	25	depend	depend	VERB
cet-2332	79	26	on	on	ADP
cet-2332	79	27	z	z	PROPN
cet-2332	79	28	whereby	whereby	SCONJ
cet-2332	79	29	the	the	DET
cet-2332	79	30	proposed	propose	VERB
cet-2332	79	31	equation	equation	NOUN
cet-2332	79	32	can	can	AUX
cet-2332	79	33	be	be	AUX
cet-2332	79	34	written	write	VERB
cet-2332	79	35	as	as	ADP
cet-2332	79	36	1	1	NUM
cet-2332	79	37	𝑟	𝑟	NOUN
cet-2332	79	38	{	{	PUNCT
cet-2332	79	39	𝜕	𝜕	PROPN
cet-2332	79	40	𝜕𝑟	𝜕𝑟	PROPN
cet-2332	79	41	(	(	PUNCT
cet-2332	79	42	𝑟𝐼	𝑟𝐼	NOUN
cet-2332	79	43	)	)	PUNCT
cet-2332	80	1	+	+	NUM
cet-2332	80	2	𝜕	𝜕	NOUN
cet-2332	80	3	𝜕𝜃	𝜕𝜃	NOUN
cet-2332	80	4	(	(	PUNCT
cet-2332	80	5	𝐼	𝐼	PROPN
cet-2332	80	6	)	)	PUNCT
cet-2332	80	7	}	}	PUNCT
cet-2332	81	1	+	+	PUNCT
cet-2332	81	2	𝑘𝐼	𝑘𝐼	X
cet-2332	81	3	=	=	SYM
cet-2332	81	4	0	0	NUM
cet-2332	81	5	(	(	PUNCT
cet-2332	81	6	15	15	NUM
cet-2332	81	7	)	)	PUNCT
cet-2332	81	8	which	which	PRON
cet-2332	81	9	represents	represent	VERB
cet-2332	81	10	a	a	DET
cet-2332	81	11	radial	radial	ADJ
cet-2332	81	12	variation	variation	NOUN
cet-2332	81	13	of	of	ADP
cet-2332	81	14	the	the	DET
cet-2332	81	15	flux	flux	NOUN
cet-2332	81	16	dependent	dependent	ADJ
cet-2332	81	17	on	on	ADP
cet-2332	81	18	the	the	DET
cet-2332	81	19	𝑘	𝑘	PRON
cet-2332	81	20	factor	factor	NOUN
cet-2332	81	21	that	that	PRON
cet-2332	81	22	is	be	AUX
cet-2332	81	23	related	relate	VERB
cet-2332	81	24	to	to	ADP
cet-2332	81	25	the	the	DET
cet-2332	81	26	electromagnetic	electromagnetic	ADJ
cet-2332	81	27	characteristics	characteristic	NOUN
cet-2332	81	28	of	of	ADP
cet-2332	81	29	the	the	DET
cet-2332	81	30	medium	medium	NOUN
cet-2332	81	31	in	in	ADP
cet-2332	81	32	order	order	NOUN
cet-2332	81	33	to	to	PART
cet-2332	81	34	find	find	VERB
cet-2332	81	35	the	the	DET
cet-2332	81	36	solution	solution	NOUN
cet-2332	81	37	of	of	ADP
cet-2332	81	38	the	the	DET
cet-2332	81	39	partial	partial	ADJ
cet-2332	81	40	differential	differential	NOUN
cet-2332	81	41	equation	equation	NOUN
cet-2332	81	42	(	(	PUNCT
cet-2332	81	43	eq	eq	NOUN
cet-2332	81	44	.	.	PROPN
cet-2332	81	45	15	15	NUM
cet-2332	81	46	)	)	PUNCT
cet-2332	81	47	,	,	PUNCT
cet-2332	81	48	the	the	DET
cet-2332	81	49	solution	solution	NOUN
cet-2332	81	50	was	be	AUX
cet-2332	81	51	proposed	propose	VERB
cet-2332	81	52	by	by	ADP
cet-2332	81	53	the	the	DET
cet-2332	81	54	method	method	NOUN
cet-2332	81	55	of	of	ADP
cet-2332	81	56	separating	separate	VERB
cet-2332	81	57	fourier	fourier	ADJ
cet-2332	81	58	variables	variable	NOUN
cet-2332	81	59	(	(	PUNCT
cet-2332	81	60	tessè	tessè	VERB
cet-2332	81	61	,	,	PUNCT
cet-2332	81	62	and	and	CCONJ
cet-2332	81	63	lamet	lamet	VERB
cet-2332	81	64	,	,	PUNCT
cet-2332	81	65	2011	2011	NUM
cet-2332	81	66	)	)	PUNCT
cet-2332	81	67	,	,	PUNCT
cet-2332	81	68	assuming	assume	VERB
cet-2332	81	69	the	the	DET
cet-2332	81	70	solution	solution	NOUN
cet-2332	81	71	of	of	ADP
cet-2332	81	72	the	the	DET
cet-2332	81	73	equation	equation	NOUN
cet-2332	81	74	of	of	ADP
cet-2332	81	75	the	the	DET
cet-2332	81	76	form	form	NOUN
cet-2332	81	77	𝐼(𝑟	𝐼(𝑟	ADP
cet-2332	81	78	,	,	PUNCT
cet-2332	81	79	𝜃	𝜃	NOUN
cet-2332	81	80	)	)	PUNCT
cet-2332	81	81	=	=	SYM
cet-2332	81	82	𝑅(𝑟)θ(𝜃	𝑅(𝑟)θ(𝜃	ADJ
cet-2332	81	83	)	)	PUNCT
cet-2332	81	84	(	(	PUNCT
cet-2332	81	85	16	16	NUM
cet-2332	81	86	)	)	PUNCT
cet-2332	81	87	the	the	DET
cet-2332	81	88	ordinary	ordinary	ADJ
cet-2332	81	89	differential	differential	ADJ
cet-2332	81	90	equations	equation	NOUN
cet-2332	81	91	are	be	AUX
cet-2332	81	92	obtained	obtain	VERB
cet-2332	81	93	𝑅	𝑅	PROPN
cet-2332	81	94	+	+	PROPN
cet-2332	81	95	𝑟	𝑟	NOUN
cet-2332	81	96	𝑑𝑅	𝑑𝑅	VERB
cet-2332	81	97	𝑑𝑟	𝑑𝑟	NOUN
cet-2332	81	98	+	+	CCONJ
cet-2332	81	99	𝑘𝑟𝑅	𝑘𝑟𝑅	NOUN
cet-2332	81	100	=	=	SYM
cet-2332	81	101	𝜆𝑅	𝜆𝑅	PROPN
cet-2332	81	102	𝑑θ	𝑑θ	ADP
cet-2332	81	103	𝑑𝜃	𝑑𝜃	PROPN
cet-2332	81	104	=	=	PUNCT
cet-2332	81	105	−𝜆θ	−𝜆θ	PROPN
cet-2332	81	106	(	(	PUNCT
cet-2332	81	107	17	17	NUM
cet-2332	81	108	)	)	PUNCT
cet-2332	81	109	(	(	PUNCT
cet-2332	81	110	18	18	NUM
cet-2332	81	111	)	)	PUNCT
cet-2332	81	112	whose	whose	DET
cet-2332	81	113	solutions	solution	NOUN
cet-2332	81	114	are	be	AUX
cet-2332	81	115	in	in	ADP
cet-2332	81	116	eq	eq	PROPN
cet-2332	81	117	.	.	PROPN
cet-2332	81	118	19	19	NUM
cet-2332	81	119	and	and	CCONJ
cet-2332	81	120	20	20	NUM
cet-2332	81	121	.	.	PUNCT
cet-2332	82	1	𝑅(𝑟	𝑅(𝑟	NUM
cet-2332	82	2	)	)	PUNCT
cet-2332	83	1	=	=	PRON
cet-2332	83	2	𝑅𝑜𝑟(𝜆−1)𝑒−𝑘𝑟	𝑅𝑜𝑟(𝜆−1)𝑒−𝑘𝑟	X
cet-2332	83	3	(	(	PUNCT
cet-2332	83	4	19	19	NUM
cet-2332	83	5	)	)	PUNCT
cet-2332	83	6	θ(θ	θ(θ	VERB
cet-2332	83	7	)	)	PUNCT
cet-2332	83	8	=	=	SYM
cet-2332	83	9	θ0𝑒−𝜆𝜃	θ0𝑒−𝜆𝜃	X
cet-2332	83	10	(	(	PUNCT
cet-2332	83	11	20	20	NUM
cet-2332	83	12	)	)	PUNCT
cet-2332	83	13	the	the	DET
cet-2332	83	14	solution	solution	NOUN
cet-2332	83	15	to	to	ADP
cet-2332	83	16	eq.15	eq.15	PROPN
cet-2332	83	17	is	be	AUX
cet-2332	83	18	:	:	PUNCT
cet-2332	83	19	𝐼(𝑟	𝐼(𝑟	NUM
cet-2332	83	20	,	,	PUNCT
cet-2332	83	21	𝜃	𝜃	NOUN
cet-2332	83	22	)	)	PUNCT
cet-2332	83	23	=	=	SYM
cet-2332	83	24	𝐼0𝑟(𝜆−1)𝑒−(𝑘𝑟+𝜆𝜃	𝐼0𝑟(𝜆−1)𝑒−(𝑘𝑟+𝜆𝜃	X
cet-2332	83	25	)	)	PUNCT
cet-2332	83	26	(	(	PUNCT
cet-2332	83	27	21	21	NUM
cet-2332	83	28	)	)	PUNCT
cet-2332	83	29	can	can	AUX
cet-2332	83	30	be	be	AUX
cet-2332	83	31	written	write	VERB
cet-2332	83	32	as	as	ADP
cet-2332	83	33	𝐼(𝑟	𝐼(𝑟	X
cet-2332	83	34	,	,	PUNCT
cet-2332	83	35	𝜃	𝜃	NOUN
cet-2332	83	36	)	)	PUNCT
cet-2332	83	37	=	=	PUNCT
cet-2332	84	1	𝐼0𝑒(𝜆−1)𝐿𝑛	𝐼0𝑒(𝜆−1)𝐿𝑛	PROPN
cet-2332	84	2	𝑟−𝑘𝑟𝑒−𝜆𝜃	𝑟−𝑘𝑟𝑒−𝜆𝜃	PROPN
cet-2332	84	3	(	(	PUNCT
cet-2332	84	4	22	22	NUM
cet-2332	84	5	)	)	PUNCT
cet-2332	84	6	the	the	DET
cet-2332	84	7	values	value	NOUN
cet-2332	84	8	of	of	ADP
cet-2332	84	9	𝜆	𝜆	PRON
cet-2332	84	10	and	and	CCONJ
cet-2332	84	11	𝑘	𝑘	PRON
cet-2332	84	12	correspond	correspond	NOUN
cet-2332	84	13	to	to	ADP
cet-2332	84	14	the	the	DET
cet-2332	84	15	eigenvalues	eigenvalue	NOUN
cet-2332	84	16	of	of	ADP
cet-2332	84	17	eq.15	eq.15	NOUN
cet-2332	84	18	related	relate	VERB
cet-2332	84	19	to	to	ADP
cet-2332	84	20	the	the	DET
cet-2332	84	21	boundary	boundary	ADJ
cet-2332	84	22	conditions	condition	NOUN
cet-2332	84	23	and	and	CCONJ
cet-2332	84	24	the	the	DET
cet-2332	84	25	electromagnetic	electromagnetic	ADJ
cet-2332	84	26	characteristics	characteristic	NOUN
cet-2332	84	27	of	of	ADP
cet-2332	84	28	the	the	DET
cet-2332	84	29	suspension	suspension	NOUN
cet-2332	84	30	respectively	respectively	ADV
cet-2332	84	31	.	.	PUNCT
cet-2332	85	1	the	the	DET
cet-2332	85	2	vector	vector	NOUN
cet-2332	85	3	identity	identity	NOUN
cet-2332	85	4	applied	apply	VERB
cet-2332	85	5	to	to	ADP
cet-2332	85	6	the	the	DET
cet-2332	85	7	equations	equation	NOUN
cet-2332	85	8	of	of	ADP
cet-2332	85	9	maxwell	maxwell	PROPN
cet-2332	85	10	(	(	PUNCT
cet-2332	85	11	moreira	moreira	PROPN
cet-2332	85	12	et	et	PROPN
cet-2332	85	13	.	.	PUNCT
cet-2332	86	1	al	al	PROPN
cet-2332	86	2	.	.	PROPN
cet-2332	86	3	2011	2011	NUM
cet-2332	86	4	)	)	PUNCT
cet-2332	86	5	which	which	PRON
cet-2332	86	6	mathematical	mathematical	ADJ
cet-2332	86	7	expressions	expression	NOUN
cet-2332	86	8	are	be	AUX
cet-2332	86	9	deduced	deduce	VERB
cet-2332	86	10	is	be	AUX
cet-2332	86	11	described	describe	VERB
cet-2332	86	12	in	in	ADP
cet-2332	86	13	eq	eq	ADP
cet-2332	86	14	.	.	PROPN
cet-2332	86	15	23	23	NUM
cet-2332	86	16	.	.	PUNCT
cet-2332	87	1	∇⃗⃗⃗	∇⃗⃗⃗	PROPN
cet-2332	87	2	×	×	PROPN
cet-2332	87	3	∇⃗⃗⃗	∇⃗⃗⃗	PROPN
cet-2332	87	4	×	×	PROPN
cet-2332	87	5	𝐴	𝐴	NOUN
cet-2332	87	6	=	=	PUNCT
cet-2332	87	7	∇⃗⃗⃗(∇⃗⃗⃗	∇⃗⃗⃗(∇⃗⃗⃗	NOUN
cet-2332	87	8	∙	∙	PROPN
cet-2332	87	9	𝐴	𝐴	PROPN
cet-2332	87	10	)	)	PUNCT
cet-2332	87	11	−	−	PROPN
cet-2332	88	1	∇2𝐴	∇2𝐴	PROPN
cet-2332	88	2	(	(	PUNCT
cet-2332	88	3	23	23	NUM
cet-2332	88	4	)	)	PUNCT
cet-2332	88	5	where	where	SCONJ
cet-2332	88	6	𝐴	𝐴	PROPN
cet-2332	88	7	is	be	AUX
cet-2332	88	8	a	a	DET
cet-2332	88	9	vector	vector	NOUN
cet-2332	88	10	field	field	NOUN
cet-2332	88	11	applying	apply	VERB
cet-2332	88	12	the	the	DET
cet-2332	88	13	rotational	rotational	NOUN
cet-2332	88	14	to	to	ADP
cet-2332	88	15	the	the	DET
cet-2332	88	16	law	law	NOUN
cet-2332	88	17	of	of	ADP
cet-2332	88	18	ampere	ampere	NOUN
cet-2332	88	19	-	-	PUNCT
cet-2332	88	20	maxwell	maxwell	PROPN
cet-2332	88	21	and	and	CCONJ
cet-2332	88	22	to	to	ADP
cet-2332	88	23	the	the	DET
cet-2332	88	24	law	law	NOUN
cet-2332	88	25	of	of	ADP
cet-2332	88	26	faraday	faraday	PROPN
cet-2332	88	27	,	,	PUNCT
cet-2332	88	28	we	we	PRON
cet-2332	88	29	have	have	AUX
cet-2332	88	30	following	follow	VERB
cet-2332	88	31	equations	equation	NOUN
cet-2332	88	32	:	:	PUNCT
cet-2332	88	33	−∇2𝐻	−∇2𝐻	X
cet-2332	88	34	=	=	PUNCT
cet-2332	88	35	−𝑗𝜔𝜇(𝜎	−𝑗𝜔𝜇(𝜎	PROPN
cet-2332	88	36	+	+	CCONJ
cet-2332	88	37	𝑗𝜔𝜀)𝐻	𝑗𝜔𝜀)𝐻	PROPN
cet-2332	88	38	(	(	PUNCT
cet-2332	88	39	24	24	NUM
cet-2332	88	40	)	)	PUNCT
cet-2332	88	41	−∇2𝐸	−∇2𝐸	PROPN
cet-2332	88	42	=	=	SYM
cet-2332	88	43	−𝑗𝜔𝜇(𝜎	−𝑗𝜔𝜇(𝜎	PROPN
cet-2332	89	1	+	+	NUM
cet-2332	89	2	𝑗𝜔𝜀)𝐸	𝑗𝜔𝜀)𝐸	NOUN
cet-2332	89	3	(	(	PUNCT
cet-2332	89	4	25	25	NUM
cet-2332	89	5	)	)	PUNCT
cet-2332	89	6	defining	define	VERB
cet-2332	89	7	𝛾2	𝛾2	NOUN
cet-2332	89	8	=	=	PUNCT
cet-2332	89	9	𝑗𝜔𝜇(𝜎	𝑗𝜔𝜇(𝜎	PROPN
cet-2332	90	1	+	+	CCONJ
cet-2332	90	2	𝑗𝜔𝜀	𝑗𝜔𝜀	NOUN
cet-2332	90	3	)	)	PUNCT
cet-2332	90	4	(	(	PUNCT
cet-2332	90	5	26	26	NUM
cet-2332	90	6	)	)	PUNCT
cet-2332	90	7	equations	equation	NOUN
cet-2332	90	8	24	24	NUM
cet-2332	90	9	and	and	CCONJ
cet-2332	90	10	25	25	NUM
cet-2332	90	11	take	take	VERB
cet-2332	90	12	the	the	DET
cet-2332	90	13	form	form	NOUN
cet-2332	90	14	∇2𝐸	∇2𝐸	NOUN
cet-2332	90	15	=	=	SYM
cet-2332	90	16	𝛾2𝐸	𝛾2𝐸	NOUN
cet-2332	90	17	(	(	PUNCT
cet-2332	90	18	27	27	NUM
cet-2332	90	19	)	)	PUNCT
cet-2332	90	20	∇2𝐻	∇2𝐻	PROPN
cet-2332	90	21	=	=	SYM
cet-2332	90	22	𝛾2𝐻	𝛾2𝐻	X
cet-2332	90	23	(	(	PUNCT
cet-2332	90	24	28	28	NUM
cet-2332	90	25	)	)	PUNCT
cet-2332	90	26	1612	1612	NUM
cet-2332	90	27	which	which	PRON
cet-2332	90	28	are	be	AUX
cet-2332	90	29	known	know	VERB
cet-2332	90	30	as	as	ADP
cet-2332	90	31	electromagnetic	electromagnetic	ADJ
cet-2332	90	32	wave	wave	NOUN
cet-2332	90	33	equations	equation	NOUN
cet-2332	90	34	[	[	X
cet-2332	90	35	8	8	NUM
cet-2332	90	36	]	]	PUNCT
cet-2332	90	37	.	.	PUNCT
cet-2332	91	1	the	the	DET
cet-2332	91	2	𝛾	𝛾	PROPN
cet-2332	91	3	factor	factor	NOUN
cet-2332	91	4	is	be	AUX
cet-2332	91	5	known	know	VERB
cet-2332	91	6	as	as	ADP
cet-2332	91	7	the	the	DET
cet-2332	91	8	propagation	propagation	NOUN
cet-2332	91	9	factor	factor	NOUN
cet-2332	91	10	of	of	ADP
cet-2332	91	11	the	the	DET
cet-2332	91	12	electromagnetic	electromagnetic	ADJ
cet-2332	91	13	wave	wave	NOUN
cet-2332	91	14	and	and	CCONJ
cet-2332	91	15	is	be	AUX
cet-2332	91	16	related	relate	VERB
cet-2332	91	17	to	to	ADP
cet-2332	91	18	the	the	DET
cet-2332	91	19	characteristics	characteristic	NOUN
cet-2332	91	20	of	of	ADP
cet-2332	91	21	the	the	DET
cet-2332	91	22	medium	medium	NOUN
cet-2332	91	23	i.e.	i.e.	X
cet-2332	91	24	with	with	ADP
cet-2332	91	25	the	the	DET
cet-2332	91	26	electrical	electrical	ADJ
cet-2332	91	27	permittivity	permittivity	NOUN
cet-2332	91	28	(	(	PUNCT
cet-2332	91	29	𝜀	𝜀	NOUN
cet-2332	91	30	)	)	PUNCT
cet-2332	91	31	expressed	express	VERB
cet-2332	91	32	in	in	ADP
cet-2332	91	33	the	the	DET
cet-2332	91	34	s.i	s.i	PROPN
cet-2332	91	35	.	.	PROPN
cet-2332	91	36	in	in	ADP
cet-2332	91	37	farad	farad	PROPN
cet-2332	91	38	/	/	SYM
cet-2332	91	39	meter	meter	NOUN
cet-2332	91	40	,	,	PUNCT
cet-2332	91	41	magnetic	magnetic	ADJ
cet-2332	91	42	permeability	permeability	NOUN
cet-2332	91	43	(	(	PUNCT
cet-2332	91	44	𝜇	𝜇	NOUN
cet-2332	91	45	)	)	PUNCT
cet-2332	91	46	in	in	ADP
cet-2332	91	47	tesla	tesla	NOUN
cet-2332	91	48	-	-	PUNCT
cet-2332	91	49	meter	meter	NOUN
cet-2332	91	50	/	/	PUNCT
cet-2332	91	51	ampere	ampere	NOUN
cet-2332	91	52	and	and	CCONJ
cet-2332	91	53	the	the	DET
cet-2332	91	54	electrical	electrical	ADJ
cet-2332	91	55	conductivity	conductivity	NOUN
cet-2332	91	56	(	(	PUNCT
cet-2332	91	57	𝜎	𝜎	X
cet-2332	91	58	)	)	PUNCT
cet-2332	91	59	in	in	ADP
cet-2332	91	60	siemens	siemens	PROPN
cet-2332	91	61	/	/	SYM
cet-2332	91	62	meter	meter	NOUN
cet-2332	91	63	.	.	PUNCT
cet-2332	92	1	since	since	SCONJ
cet-2332	92	2	the	the	DET
cet-2332	92	3	propagation	propagation	NOUN
cet-2332	92	4	factor	factor	NOUN
cet-2332	92	5	is	be	AUX
cet-2332	92	6	a	a	DET
cet-2332	92	7	complex	complex	ADJ
cet-2332	92	8	number	number	NOUN
cet-2332	92	9	,	,	PUNCT
cet-2332	92	10	it	it	PRON
cet-2332	92	11	can	can	AUX
cet-2332	92	12	be	be	AUX
cet-2332	92	13	written	write	VERB
cet-2332	92	14	by	by	ADP
cet-2332	92	15	eq.11	eq.11	PROPN
cet-2332	92	16	.	.	PUNCT
cet-2332	93	1	𝛾	𝛾	X
cet-2332	93	2	=	=	SYM
cet-2332	93	3	𝛼	𝛼	PROPN
cet-2332	93	4	+	+	X
cet-2332	93	5	𝑗𝛽	𝑗𝛽	X
cet-2332	93	6	(	(	PUNCT
cet-2332	93	7	29	29	NUM
cet-2332	93	8	)	)	PUNCT
cet-2332	93	9	where	where	SCONJ
cet-2332	93	10	:	:	PUNCT
cet-2332	93	11	𝛼	𝛼	X
cet-2332	93	12	:	:	PUNCT
cet-2332	93	13	the	the	DET
cet-2332	93	14	attenuation	attenuation	NOUN
cet-2332	93	15	factor	factor	NOUN
cet-2332	93	16	of	of	ADP
cet-2332	93	17	the	the	DET
cet-2332	93	18	electromagnetic	electromagnetic	ADJ
cet-2332	93	19	wave	wave	NOUN
cet-2332	93	20	.	.	PUNCT
cet-2332	94	1	𝛽	𝛽	NOUN
cet-2332	94	2	:	:	PUNCT
cet-2332	94	3	phase	phase	NOUN
cet-2332	94	4	factor	factor	NOUN
cet-2332	94	5	of	of	ADP
cet-2332	94	6	the	the	DET
cet-2332	94	7	electromagnetic	electromagnetic	ADJ
cet-2332	94	8	wave	wave	NOUN
cet-2332	94	9	.	.	PUNCT
cet-2332	95	1	the	the	DET
cet-2332	95	2	focus	focus	NOUN
cet-2332	95	3	is	be	AUX
cet-2332	95	4	then	then	ADV
cet-2332	95	5	on	on	ADP
cet-2332	95	6	determining	determine	VERB
cet-2332	95	7	the	the	DET
cet-2332	95	8	wave	wave	NOUN
cet-2332	95	9	attenuation	attenuation	NOUN
cet-2332	95	10	factor	factor	NOUN
cet-2332	95	11	since	since	SCONJ
cet-2332	95	12	it	it	PRON
cet-2332	95	13	indicates	indicate	VERB
cet-2332	95	14	the	the	DET
cet-2332	95	15	power	power	NOUN
cet-2332	95	16	loss	loss	NOUN
cet-2332	95	17	of	of	ADP
cet-2332	95	18	the	the	DET
cet-2332	95	19	wave	wave	NOUN
cet-2332	95	20	as	as	SCONJ
cet-2332	95	21	it	it	PRON
cet-2332	95	22	penetrates	penetrate	VERB
cet-2332	95	23	the	the	DET
cet-2332	95	24	medium	medium	NOUN
cet-2332	95	25	.	.	PUNCT
cet-2332	96	1	for	for	ADP
cet-2332	96	2	practical	practical	ADJ
cet-2332	96	3	purposes	purpose	NOUN
cet-2332	96	4	,	,	PUNCT
cet-2332	96	5	it	it	PRON
cet-2332	96	6	would	would	AUX
cet-2332	96	7	correspond	correspond	VERB
cet-2332	96	8	to	to	PART
cet-2332	96	9	determine	determine	VERB
cet-2332	96	10	the	the	DET
cet-2332	96	11	power	power	NOUN
cet-2332	96	12	loss	loss	NOUN
cet-2332	96	13	in	in	ADP
cet-2332	96	14	the	the	DET
cet-2332	96	15	suspension	suspension	NOUN
cet-2332	96	16	.	.	PUNCT
cet-2332	97	1	the	the	DET
cet-2332	97	2	relationship	relationship	NOUN
cet-2332	97	3	between	between	ADP
cet-2332	97	4	attenuation	attenuation	NOUN
cet-2332	97	5	and	and	CCONJ
cet-2332	97	6	phase	phase	NOUN
cet-2332	97	7	factors	factor	NOUN
cet-2332	97	8	with	with	ADP
cet-2332	97	9	the	the	DET
cet-2332	97	10	electromagnetic	electromagnetic	ADJ
cet-2332	97	11	characteristics	characteristic	NOUN
cet-2332	97	12	of	of	ADP
cet-2332	97	13	the	the	DET
cet-2332	97	14	medium(𝜀	medium(𝜀	NOUN
cet-2332	97	15	,	,	PUNCT
cet-2332	97	16	𝜇	𝜇	ADP
cet-2332	97	17	,	,	PUNCT
cet-2332	97	18	𝜎	𝜎	NOUN
cet-2332	97	19	)	)	PUNCT
cet-2332	97	20	,	,	PUNCT
cet-2332	97	21	and	and	CCONJ
cet-2332	97	22	the	the	DET
cet-2332	97	23	frequency	frequency	NOUN
cet-2332	97	24	of	of	ADP
cet-2332	97	25	the	the	DET
cet-2332	97	26	electromagnetic	electromagnetic	ADJ
cet-2332	97	27	wave(𝜔	wave(𝜔	PROPN
cet-2332	97	28	)	)	PUNCT
cet-2332	97	29	can	can	AUX
cet-2332	97	30	be	be	AUX
cet-2332	97	31	determined	determine	VERB
cet-2332	97	32	eq.28	eq.28	PROPN
cet-2332	97	33	is	be	AUX
cet-2332	97	34	a	a	DET
cet-2332	97	35	function	function	NOUN
cet-2332	97	36	of	of	ADP
cet-2332	97	37	a	a	DET
cet-2332	97	38	complex	complex	ADJ
cet-2332	97	39	variable	variable	NOUN
cet-2332	97	40	that	that	PRON
cet-2332	97	41	can	can	AUX
cet-2332	97	42	be	be	AUX
cet-2332	97	43	written	write	VERB
cet-2332	97	44	as	as	ADP
cet-2332	97	45	:	:	PUNCT
cet-2332	97	46	𝛾2	𝛾2	VERB
cet-2332	97	47	=	=	PUNCT
cet-2332	97	48	𝑗𝜔𝜇(𝜎	𝑗𝜔𝜇(𝜎	PROPN
cet-2332	98	1	+	+	CCONJ
cet-2332	98	2	𝑗𝜔𝜀	𝑗𝜔𝜀	NOUN
cet-2332	98	3	)	)	PUNCT
cet-2332	99	1	=	=	PRON
cet-2332	99	2	(	(	PUNCT
cet-2332	99	3	𝛼	𝛼	X
cet-2332	99	4	+	+	X
cet-2332	99	5	𝑗𝛽)2	𝑗𝛽)2	PROPN
cet-2332	99	6	(	(	PUNCT
cet-2332	99	7	30	30	NUM
cet-2332	99	8	)	)	PUNCT
cet-2332	99	9	replacing	replace	VERB
cet-2332	99	10	according	accord	VERB
cet-2332	99	11	to	to	ADP
cet-2332	99	12	the	the	DET
cet-2332	99	13	electromagnetic	electromagnetic	ADJ
cet-2332	99	14	characteristics	characteristic	NOUN
cet-2332	99	15	of	of	ADP
cet-2332	99	16	the	the	DET
cet-2332	99	17	medium	medium	NOUN
cet-2332	99	18	and	and	CCONJ
cet-2332	99	19	separating	separate	VERB
cet-2332	99	20	real	real	ADJ
cet-2332	99	21	and	and	CCONJ
cet-2332	99	22	imaginary	imaginary	ADJ
cet-2332	99	23	parts	part	NOUN
cet-2332	99	24	it	it	PRON
cet-2332	99	25	is	be	AUX
cet-2332	99	26	concluded	conclude	VERB
cet-2332	99	27	that	that	SCONJ
cet-2332	99	28	:	:	PUNCT
cet-2332	99	29	𝛼	𝛼	X
cet-2332	99	30	=	=	PUNCT
cet-2332	99	31	𝜔√	𝜔√	PROPN
cet-2332	99	32	𝜇𝜀	𝜇𝜀	ADJ
cet-2332	99	33	2	2	NUM
cet-2332	99	34	[	[	X
cet-2332	99	35	√1	√1	ADV
cet-2332	99	36	−	−	PROPN
cet-2332	99	37	(	(	PUNCT
cet-2332	99	38	𝜎	𝜎	NOUN
cet-2332	99	39	𝜔𝜀	𝜔𝜀	ADJ
cet-2332	99	40	)	)	PUNCT
cet-2332	99	41	2	2	NUM
cet-2332	99	42	−	−	NOUN
cet-2332	99	43	1	1	NUM
cet-2332	99	44	]	]	PUNCT
cet-2332	99	45	(	(	PUNCT
cet-2332	99	46	31	31	NUM
cet-2332	99	47	)	)	PUNCT
cet-2332	99	48	this	this	DET
cet-2332	99	49	factor	factor	NOUN
cet-2332	99	50	clearly	clearly	ADV
cet-2332	99	51	depends	depend	VERB
cet-2332	99	52	on	on	ADP
cet-2332	99	53	the	the	DET
cet-2332	99	54	frequency	frequency	NOUN
cet-2332	99	55	of	of	ADP
cet-2332	99	56	the	the	DET
cet-2332	99	57	electromagnetic	electromagnetic	ADJ
cet-2332	99	58	wave	wave	NOUN
cet-2332	99	59	(	(	PUNCT
cet-2332	99	60	𝜔	𝜔	NOUN
cet-2332	99	61	)	)	PUNCT
cet-2332	99	62	.	.	PUNCT
cet-2332	100	1	the	the	DET
cet-2332	100	2	values	value	NOUN
cet-2332	100	3	of	of	ADP
cet-2332	100	4	the	the	DET
cet-2332	100	5	properties	property	NOUN
cet-2332	100	6	of	of	ADP
cet-2332	100	7	the	the	DET
cet-2332	100	8	medium	medium	NOUN
cet-2332	100	9	,	,	PUNCT
cet-2332	100	10	such	such	ADJ
cet-2332	100	11	as	as	ADP
cet-2332	100	12	the	the	DET
cet-2332	100	13	frequency	frequency	NOUN
cet-2332	100	14	of	of	ADP
cet-2332	100	15	the	the	DET
cet-2332	100	16	electromagnetic	electromagnetic	ADJ
cet-2332	100	17	waves	wave	NOUN
cet-2332	100	18	,	,	PUNCT
cet-2332	100	19	must	must	AUX
cet-2332	100	20	be	be	AUX
cet-2332	100	21	determined	determine	VERB
cet-2332	100	22	experimentally	experimentally	ADV
cet-2332	100	23	.	.	PUNCT
cet-2332	101	1	in	in	ADP
cet-2332	101	2	the	the	DET
cet-2332	101	3	same	same	ADJ
cet-2332	101	4	way	way	NOUN
cet-2332	101	5	,	,	PUNCT
cet-2332	101	6	the	the	DET
cet-2332	101	7	phase	phase	NOUN
cet-2332	101	8	factor	factor	NOUN
cet-2332	101	9	of	of	ADP
cet-2332	101	10	the	the	DET
cet-2332	101	11	electromagnetic	electromagnetic	ADJ
cet-2332	101	12	wave	wave	NOUN
cet-2332	101	13	can	can	AUX
cet-2332	101	14	be	be	AUX
cet-2332	101	15	calculated	calculate	VERB
cet-2332	101	16	and	and	CCONJ
cet-2332	101	17	results	result	NOUN
cet-2332	101	18	in	in	ADP
cet-2332	101	19	:	:	PUNCT
cet-2332	101	20	𝛽	𝛽	NOUN
cet-2332	101	21	=	=	SYM
cet-2332	101	22	𝜔√	𝜔√	PROPN
cet-2332	101	23	𝜇𝜀	𝜇𝜀	ADJ
cet-2332	101	24	2	2	NUM
cet-2332	102	1	[	[	X
cet-2332	102	2	√1	√1	ADV
cet-2332	102	3	−	−	PROPN
cet-2332	102	4	(	(	PUNCT
cet-2332	102	5	𝜎	𝜎	NOUN
cet-2332	102	6	𝜔𝜀	𝜔𝜀	ADJ
cet-2332	102	7	)	)	PUNCT
cet-2332	102	8	2	2	NUM
cet-2332	102	9	+	+	CCONJ
cet-2332	102	10	1	1	NUM
cet-2332	102	11	]	]	PUNCT
cet-2332	102	12	(	(	PUNCT
cet-2332	102	13	32	32	NUM
cet-2332	102	14	)	)	PUNCT
cet-2332	102	15	because	because	SCONJ
cet-2332	102	16	the	the	DET
cet-2332	102	17	light	light	NOUN
cet-2332	102	18	is	be	AUX
cet-2332	102	19	an	an	DET
cet-2332	102	20	electromagnetic	electromagnetic	ADJ
cet-2332	102	21	wave	wave	NOUN
cet-2332	102	22	,	,	PUNCT
cet-2332	102	23	it	it	PRON
cet-2332	102	24	is	be	AUX
cet-2332	102	25	subject	subject	ADJ
cet-2332	102	26	to	to	ADP
cet-2332	102	27	the	the	DET
cet-2332	102	28	phenomenon	phenomenon	NOUN
cet-2332	102	29	of	of	ADP
cet-2332	102	30	attenuation	attenuation	NOUN
cet-2332	102	31	(	(	PUNCT
cet-2332	102	32	the	the	DET
cet-2332	102	33	power	power	NOUN
cet-2332	102	34	loss	loss	NOUN
cet-2332	102	35	when	when	SCONJ
cet-2332	102	36	penetrating	penetrate	VERB
cet-2332	102	37	the	the	DET
cet-2332	102	38	medium	medium	NOUN
cet-2332	102	39	)	)	PUNCT
cet-2332	102	40	.	.	PUNCT
cet-2332	103	1	this	this	DET
cet-2332	103	2	power	power	NOUN
cet-2332	103	3	loss	loss	NOUN
cet-2332	103	4	is	be	AUX
cet-2332	103	5	related	relate	VERB
cet-2332	103	6	to	to	ADP
cet-2332	103	7	the	the	DET
cet-2332	103	8	depth	depth	NOUN
cet-2332	103	9	of	of	ADP
cet-2332	103	10	penetration	penetration	NOUN
cet-2332	103	11	of	of	ADP
cet-2332	103	12	the	the	DET
cet-2332	103	13	wave	wave	NOUN
cet-2332	103	14	and	and	CCONJ
cet-2332	103	15	the	the	DET
cet-2332	103	16	attenuation	attenuation	NOUN
cet-2332	103	17	factor	factor	NOUN
cet-2332	103	18	of	of	ADP
cet-2332	103	19	the	the	DET
cet-2332	103	20	wave	wave	NOUN
cet-2332	103	21	in	in	ADP
cet-2332	103	22	the	the	DET
cet-2332	103	23	medium	medium	NOUN
cet-2332	103	24	.	.	PUNCT
cet-2332	104	1	as	as	SCONJ
cet-2332	104	2	mentioned	mention	VERB
cet-2332	104	3	above	above	ADV
cet-2332	104	4	,	,	PUNCT
cet-2332	104	5	when	when	SCONJ
cet-2332	104	6	the	the	DET
cet-2332	104	7	electromagnetic	electromagnetic	ADJ
cet-2332	104	8	wave	wave	NOUN
cet-2332	104	9	passes	pass	VERB
cet-2332	104	10	through	through	ADP
cet-2332	104	11	a	a	DET
cet-2332	104	12	substance	substance	NOUN
cet-2332	104	13	,	,	PUNCT
cet-2332	104	14	the	the	DET
cet-2332	104	15	ratio	ratio	NOUN
cet-2332	104	16	with	with	ADP
cet-2332	104	17	which	which	PRON
cet-2332	104	18	its	its	PRON
cet-2332	104	19	intensity	intensity	NOUN
cet-2332	104	20	i	i	PRON
cet-2332	104	21	decreases	decrease	VERB
cet-2332	104	22	is	be	AUX
cet-2332	104	23	proportional	proportional	ADJ
cet-2332	104	24	to	to	ADP
cet-2332	104	25	i(r	i(r	PROPN
cet-2332	104	26	)	)	PUNCT
cet-2332	104	27	,	,	PUNCT
cet-2332	104	28	where	where	SCONJ
cet-2332	104	29	r	r	NOUN
cet-2332	104	30	represents	represent	VERB
cet-2332	104	31	the	the	DET
cet-2332	104	32	penetration	penetration	NOUN
cet-2332	104	33	length	length	NOUN
cet-2332	104	34	of	of	ADP
cet-2332	104	35	the	the	DET
cet-2332	104	36	light	light	ADJ
cet-2332	104	37	ray	ray	NOUN
cet-2332	104	38	in	in	ADP
cet-2332	104	39	the	the	DET
cet-2332	104	40	medium	medium	NOUN
cet-2332	104	41	𝑑𝐼	𝑑𝐼	NOUN
cet-2332	104	42	𝑑𝑟	𝑑𝑟	NOUN
cet-2332	104	43	=	=	PUNCT
cet-2332	104	44	−𝛼𝐼	−𝛼𝐼	PROPN
cet-2332	104	45	(	(	PUNCT
cet-2332	104	46	33	33	NUM
cet-2332	104	47	)	)	PUNCT
cet-2332	104	48	the	the	DET
cet-2332	104	49	factor	factor	NOUN
cet-2332	104	50	α	α	NOUN
cet-2332	104	51	represents	represent	VERB
cet-2332	104	52	the	the	DET
cet-2332	104	53	attenuation	attenuation	NOUN
cet-2332	104	54	that	that	PRON
cet-2332	104	55	is	be	AUX
cet-2332	104	56	typical	typical	ADJ
cet-2332	104	57	for	for	ADP
cet-2332	104	58	each	each	DET
cet-2332	104	59	medium	medium	NOUN
cet-2332	104	60	and	and	CCONJ
cet-2332	104	61	it	it	PRON
cet-2332	104	62	is	be	AUX
cet-2332	104	63	related	relate	VERB
cet-2332	104	64	to	to	ADP
cet-2332	104	65	the	the	DET
cet-2332	104	66	properties	property	NOUN
cet-2332	104	67	of	of	ADP
cet-2332	104	68	the	the	DET
cet-2332	104	69	sample	sample	NOUN
cet-2332	104	70	.	.	PUNCT
cet-2332	105	1	clearly	clearly	ADV
cet-2332	105	2	,	,	PUNCT
cet-2332	105	3	a	a	DET
cet-2332	105	4	part	part	NOUN
cet-2332	105	5	of	of	ADP
cet-2332	105	6	this	this	DET
cet-2332	105	7	loss	loss	NOUN
cet-2332	105	8	is	be	AUX
cet-2332	105	9	related	relate	VERB
cet-2332	105	10	to	to	ADP
cet-2332	105	11	the	the	DET
cet-2332	105	12	absorption	absorption	NOUN
cet-2332	105	13	of	of	ADP
cet-2332	105	14	radiation	radiation	NOUN
cet-2332	105	15	by	by	ADP
cet-2332	105	16	the	the	DET
cet-2332	105	17	semiconductor	semiconductor	NOUN
cet-2332	105	18	in	in	ADP
cet-2332	105	19	order	order	NOUN
cet-2332	105	20	to	to	PART
cet-2332	105	21	participate	participate	VERB
cet-2332	105	22	in	in	ADP
cet-2332	105	23	the	the	DET
cet-2332	105	24	process	process	NOUN
cet-2332	105	25	of	of	ADP
cet-2332	105	26	photodegradation	photodegradation	NOUN
cet-2332	105	27	of	of	ADP
cet-2332	105	28	the	the	DET
cet-2332	105	29	pollutants	pollutant	NOUN
cet-2332	105	30	(	(	PUNCT
cet-2332	105	31	condition	condition	NOUN
cet-2332	105	32	5	5	NUM
cet-2332	105	33	and	and	CCONJ
cet-2332	105	34	6	6	NUM
cet-2332	105	35	)	)	PUNCT
cet-2332	105	36	.	.	PUNCT
cet-2332	106	1	as	as	ADP
cet-2332	106	2	(	(	PUNCT
cet-2332	106	3	𝜆	𝜆	X
cet-2332	106	4	−	−	PROPN
cet-2332	106	5	1)𝐿𝑛	1)𝐿𝑛	NUM
cet-2332	106	6	𝑟	𝑟	NOUN
cet-2332	106	7	−	−	NOUN
cet-2332	106	8	𝑘𝑟	𝑘𝑟	INTJ
cet-2332	106	9	=	=	SYM
cet-2332	106	10	𝛼𝑟	𝛼𝑟	PROPN
cet-2332	106	11	=	=	PUNCT
cet-2332	106	12	𝜔√	𝜔√	PROPN
cet-2332	106	13	𝜇𝜀	𝜇𝜀	ADJ
cet-2332	106	14	2	2	NUM
cet-2332	106	15	[	[	X
cet-2332	106	16	√1	√1	ADV
cet-2332	106	17	−	−	PROPN
cet-2332	106	18	(	(	PUNCT
cet-2332	106	19	𝜎	𝜎	NOUN
cet-2332	106	20	𝜔𝜀	𝜔𝜀	ADJ
cet-2332	106	21	)	)	PUNCT
cet-2332	106	22	2	2	NUM
cet-2332	106	23	−	−	NOUN
cet-2332	106	24	1	1	NUM
cet-2332	106	25	]	]	SYM
cet-2332	106	26	𝑟	𝑟	X
cet-2332	106	27	(	(	PUNCT
cet-2332	106	28	34	34	NUM
cet-2332	106	29	)	)	PUNCT
cet-2332	106	30	it	it	PRON
cet-2332	106	31	is	be	AUX
cet-2332	106	32	obtained	obtain	VERB
cet-2332	106	33	that	that	SCONJ
cet-2332	106	34	the	the	DET
cet-2332	106	35	solution	solution	NOUN
cet-2332	106	36	to	to	ADP
cet-2332	106	37	eq	eq	NOUN
cet-2332	106	38	.	.	PROPN
cet-2332	106	39	15	15	NUM
cet-2332	106	40	is	be	AUX
cet-2332	106	41	:	:	PUNCT
cet-2332	106	42	𝐼0𝑒	𝐼0𝑒	VERB
cet-2332	106	43	−𝜔√	−𝜔√	SCONJ
cet-2332	106	44	𝜇𝜀	𝜇𝜀	VERB
cet-2332	106	45	2	2	NUM
cet-2332	106	46	[	[	X
cet-2332	106	47	√1−	√1−	X
cet-2332	106	48	(	(	PUNCT
cet-2332	106	49	𝜎	𝜎	NOUN
cet-2332	106	50	𝜔𝜀	𝜔𝜀	NOUN
cet-2332	106	51	)	)	PUNCT
cet-2332	106	52	2	2	NUM
cet-2332	106	53	−1]∙𝑟	−1]∙𝑟	PROPN
cet-2332	106	54	𝑒	𝑒	PROPN
cet-2332	106	55	−(𝜔√	−(𝜔√	PROPN
cet-2332	106	56	𝜇𝜀	𝜇𝜀	VERB
cet-2332	106	57	2	2	NUM
cet-2332	106	58	[	[	X
cet-2332	106	59	√1−	√1−	X
cet-2332	106	60	(	(	PUNCT
cet-2332	106	61	𝜎	𝜎	NOUN
cet-2332	106	62	𝜔𝜀	𝜔𝜀	NOUN
cet-2332	106	63	)	)	PUNCT
cet-2332	106	64	2	2	NUM
cet-2332	106	65	−1	−1	NOUN
cet-2332	106	66	]	]	PUNCT
cet-2332	106	67	)	)	PUNCT
cet-2332	106	68	(	(	PUNCT
cet-2332	106	69	35	35	NUM
cet-2332	106	70	)	)	PUNCT
cet-2332	106	71	1613	1613	NUM
cet-2332	106	72	the	the	DET
cet-2332	106	73	eq	eq	NOUN
cet-2332	106	74	.	.	PROPN
cet-2332	106	75	35	35	NUM
cet-2332	106	76	corresponds	correspond	NOUN
cet-2332	106	77	to	to	ADP
cet-2332	106	78	the	the	DET
cet-2332	106	79	analytical	analytical	ADJ
cet-2332	106	80	solution	solution	NOUN
cet-2332	106	81	of	of	ADP
cet-2332	106	82	the	the	DET
cet-2332	106	83	proposed	propose	VERB
cet-2332	106	84	model	model	NOUN
cet-2332	106	85	,	,	PUNCT
cet-2332	106	86	with	with	ADP
cet-2332	106	87	the	the	DET
cet-2332	106	88	conditions	condition	NOUN
cet-2332	106	89	established	establish	VERB
cet-2332	106	90	in	in	ADP
cet-2332	106	91	the	the	DET
cet-2332	106	92	development	development	NOUN
cet-2332	106	93	where	where	SCONJ
cet-2332	106	94	:	:	PUNCT
cet-2332	106	95	𝜔	𝜔	PART
cet-2332	106	96	represents	represent	VERB
cet-2332	106	97	the	the	DET
cet-2332	106	98	average	average	ADJ
cet-2332	106	99	frequency	frequency	NOUN
cet-2332	106	100	of	of	ADP
cet-2332	106	101	the	the	DET
cet-2332	106	102	incident	incident	NOUN
cet-2332	106	103	rays	ray	NOUN
cet-2332	106	104	(	(	PUNCT
cet-2332	106	105	average	average	ADJ
cet-2332	106	106	frequency	frequency	NOUN
cet-2332	106	107	of	of	ADP
cet-2332	106	108	uv	uv	NOUN
cet-2332	106	109	radiation	radiation	NOUN
cet-2332	106	110	)	)	PUNCT
cet-2332	106	111	.	.	PUNCT
cet-2332	107	1	𝜇	𝜇	ADP
cet-2332	107	2	is	be	AUX
cet-2332	107	3	the	the	DET
cet-2332	107	4	magnetic	magnetic	ADJ
cet-2332	107	5	permeability	permeability	NOUN
cet-2332	107	6	of	of	ADP
cet-2332	107	7	the	the	DET
cet-2332	107	8	suspension	suspension	NOUN
cet-2332	107	9	.	.	PUNCT
cet-2332	108	1	𝜀	𝜀	PROPN
cet-2332	108	2	is	be	AUX
cet-2332	108	3	the	the	DET
cet-2332	108	4	electrical	electrical	ADJ
cet-2332	108	5	permittivity	permittivity	NOUN
cet-2332	108	6	of	of	ADP
cet-2332	108	7	the	the	DET
cet-2332	108	8	suspension	suspension	NOUN
cet-2332	108	9	.	.	PUNCT
cet-2332	109	1	𝜎	𝜎	PROPN
cet-2332	109	2	is	be	AUX
cet-2332	109	3	the	the	DET
cet-2332	109	4	electrical	electrical	ADJ
cet-2332	109	5	conductivity	conductivity	NOUN
cet-2332	109	6	of	of	ADP
cet-2332	109	7	the	the	DET
cet-2332	109	8	suspension	suspension	NOUN
cet-2332	109	9	.	.	PUNCT
cet-2332	110	1	the	the	DET
cet-2332	110	2	first	first	ADJ
cet-2332	110	3	factor	factor	NOUN
cet-2332	110	4	of	of	ADP
cet-2332	110	5	eq	eq	PROPN
cet-2332	110	6	.	.	PROPN
cet-2332	110	7	35	35	NUM
cet-2332	110	8	represents	represent	VERB
cet-2332	110	9	the	the	DET
cet-2332	110	10	energy	energy	NOUN
cet-2332	110	11	loss	loss	NOUN
cet-2332	110	12	of	of	ADP
cet-2332	110	13	the	the	DET
cet-2332	110	14	incident	incident	NOUN
cet-2332	110	15	electromagnetic	electromagnetic	ADJ
cet-2332	110	16	waves	wave	NOUN
cet-2332	110	17	by	by	ADP
cet-2332	110	18	penetrating	penetrate	VERB
cet-2332	110	19	the	the	DET
cet-2332	110	20	suspension	suspension	NOUN
cet-2332	110	21	a	a	DET
cet-2332	110	22	distance	distance	NOUN
cet-2332	110	23	𝑟	𝑟	NOUN
cet-2332	110	24	with	with	ADP
cet-2332	110	25	respect	respect	NOUN
cet-2332	110	26	to	to	ADP
cet-2332	110	27	the	the	DET
cet-2332	110	28	incident	incident	NOUN
cet-2332	110	29	energy	energy	NOUN
cet-2332	110	30	wave	wave	NOUN
cet-2332	110	31	𝐼0	𝐼0	PROPN
cet-2332	110	32	.	.	PUNCT
cet-2332	111	1	the	the	DET
cet-2332	111	2	electromagnetic	electromagnetic	ADJ
cet-2332	111	3	waves	wave	NOUN
cet-2332	111	4	at	at	ADP
cet-2332	111	5	the	the	DET
cet-2332	111	6	reactor	reactor	NOUN
cet-2332	111	7	surface	surface	NOUN
cet-2332	111	8	(	(	PUNCT
cet-2332	111	9	𝑟	𝑟	NOUN
cet-2332	111	10	=	=	SYM
cet-2332	111	11	0	0	X
cet-2332	111	12	)	)	PUNCT
cet-2332	111	13	have	have	VERB
cet-2332	111	14	an	an	DET
cet-2332	111	15	energy	energy	NOUN
cet-2332	111	16	𝐼0	𝐼0	NOUN
cet-2332	111	17	.	.	PUNCT
cet-2332	112	1	this	this	DET
cet-2332	112	2	decreases	decrease	VERB
cet-2332	112	3	in	in	ADP
cet-2332	112	4	relation	relation	NOUN
cet-2332	112	5	to	to	ADP
cet-2332	112	6	the	the	DET
cet-2332	112	7	depth	depth	NOUN
cet-2332	112	8	of	of	ADP
cet-2332	112	9	penetration	penetration	NOUN
cet-2332	112	10	r	r	NOUN
cet-2332	112	11	and	and	CCONJ
cet-2332	112	12	the	the	DET
cet-2332	112	13	second	second	ADJ
cet-2332	112	14	factor	factor	NOUN
cet-2332	112	15	represents	represent	VERB
cet-2332	112	16	the	the	DET
cet-2332	112	17	characteristic	characteristic	NOUN
cet-2332	112	18	of	of	ADP
cet-2332	112	19	the	the	DET
cet-2332	112	20	suspension	suspension	NOUN
cet-2332	112	21	that	that	PRON
cet-2332	112	22	is	be	AUX
cet-2332	112	23	inherent	inherent	ADJ
cet-2332	112	24	to	to	ADP
cet-2332	112	25	the	the	DET
cet-2332	112	26	electromagnetic	electromagnetic	ADJ
cet-2332	112	27	properties	property	NOUN
cet-2332	112	28	of	of	ADP
cet-2332	112	29	the	the	DET
cet-2332	112	30	medium	medium	NOUN
cet-2332	112	31	.	.	PUNCT
cet-2332	113	1	then	then	ADV
cet-2332	113	2	,	,	PUNCT
cet-2332	113	3	which	which	PRON
cet-2332	113	4	by	by	ADP
cet-2332	113	5	means	mean	NOUN
cet-2332	113	6	of	of	ADP
cet-2332	113	7	the	the	DET
cet-2332	113	8	assumption	assumption	NOUN
cet-2332	113	9	3	3	NUM
cet-2332	113	10	,	,	PUNCT
cet-2332	113	11	are	be	AUX
cet-2332	113	12	assumed	assume	VERB
cet-2332	113	13	constant	constant	ADJ
cet-2332	113	14	,	,	PUNCT
cet-2332	113	15	i.e.	i.e.	X
cet-2332	113	16	,	,	PUNCT
cet-2332	113	17	proper	proper	ADJ
cet-2332	113	18	of	of	ADP
cet-2332	113	19	each	each	DET
cet-2332	113	20	analyzed	analyze	VERB
cet-2332	113	21	medium	medium	NOUN
cet-2332	113	22	.	.	NOUN
cet-2332	114	1	4	4	X
cet-2332	114	2	.	.	X
cet-2332	114	3	conclusions	conclusion	NOUN
cet-2332	114	4	the	the	DET
cet-2332	114	5	proposed	propose	VERB
cet-2332	114	6	model	model	NOUN
cet-2332	114	7	places	place	NOUN
cet-2332	114	8	emphasis	emphasis	NOUN
cet-2332	114	9	on	on	ADP
cet-2332	114	10	the	the	DET
cet-2332	114	11	electromagnetic	electromagnetic	ADJ
cet-2332	114	12	characteristics	characteristic	NOUN
cet-2332	114	13	of	of	ADP
cet-2332	114	14	the	the	DET
cet-2332	114	15	suspension	suspension	NOUN
cet-2332	114	16	,	,	PUNCT
cet-2332	114	17	such	such	ADJ
cet-2332	114	18	as	as	ADP
cet-2332	114	19	the	the	DET
cet-2332	114	20	permittivity	permittivity	NOUN
cet-2332	114	21	,	,	PUNCT
cet-2332	114	22	conductivity	conductivity	NOUN
cet-2332	114	23	,	,	PUNCT
cet-2332	114	24	and	and	CCONJ
cet-2332	114	25	permeability	permeability	NOUN
cet-2332	114	26	.	.	PUNCT
cet-2332	115	1	we	we	PRON
cet-2332	115	2	also	also	ADV
cet-2332	115	3	studied	study	VERB
cet-2332	115	4	how	how	SCONJ
cet-2332	115	5	chemical	chemical	ADJ
cet-2332	115	6	properties	property	NOUN
cet-2332	115	7	of	of	ADP
cet-2332	115	8	the	the	DET
cet-2332	115	9	sample	sample	NOUN
cet-2332	115	10	are	be	AUX
cet-2332	115	11	related	relate	VERB
cet-2332	115	12	to	to	ADP
cet-2332	115	13	variations	variation	NOUN
cet-2332	115	14	of	of	ADP
cet-2332	115	15	these	these	DET
cet-2332	115	16	electromagnetic	electromagnetic	ADJ
cet-2332	115	17	characteristics	characteristic	NOUN
cet-2332	115	18	.	.	PUNCT
cet-2332	116	1	reference	reference	NOUN
cet-2332	116	2	bandala.e.r	bandala.e.r	PROPN
cet-2332	116	3	.	.	PUNCT
cet-2332	116	4	,	,	PUNCT
cet-2332	116	5	arancibia	arancibia	NOUN
cet-2332	116	6	-	-	PUNCT
cet-2332	116	7	bulnes	bulne	NOUN
cet-2332	116	8	.	.	PUNCT
cet-2332	117	1	camilo	camilo	PROPN
cet-2332	117	2	a.	a.	PROPN
cet-2332	117	3	,	,	PUNCT
cet-2332	117	4	orozco	orozco	PROPN
cet-2332	117	5	.	.	PROPN
cet-2332	117	6	sayra	sayra	PROPN
cet-2332	117	7	l.	l.	PROPN
cet-2332	117	8	,	,	PUNCT
cet-2332	117	9	estrada	estrada	PROPN
cet-2332	117	10	.	.	PUNCT
cet-2332	117	11	claudio	claudio	PROPN
cet-2332	117	12	a.	a.	PROPN
cet-2332	117	13	,	,	PUNCT
cet-2332	117	14	2004	2004	NUM
cet-2332	117	15	,	,	PUNCT
cet-2332	117	16	solar	solar	ADJ
cet-2332	117	17	photoreactors	photoreactor	NOUN
cet-2332	117	18	comparison	comparison	NOUN
cet-2332	117	19	based	base	VERB
cet-2332	117	20	on	on	ADP
cet-2332	117	21	oxalic	oxalic	NOUN
cet-2332	117	22	acid	acid	NOUN
cet-2332	117	23	photocatalytic	photocatalytic	ADJ
cet-2332	117	24	degradation	degradation	NOUN
cet-2332	117	25	.	.	PUNCT
cet-2332	118	1	solar	solar	ADJ
cet-2332	118	2	energy	energy	NOUN
cet-2332	118	3	77	77	NUM
cet-2332	118	4	,	,	PUNCT
cet-2332	118	5	503–512	503–512	NUM
cet-2332	118	6	.	.	PUNCT
cet-2332	118	7	brucato	brucato	NOUN
cet-2332	118	8	.	.	PUNCT
cet-2332	119	1	a.	a.	PROPN
cet-2332	119	2	,	,	PUNCT
cet-2332	119	3	cassano	cassano	PROPN
cet-2332	119	4	.	.	PUNCT
cet-2332	120	1	a.	a.	PROPN
cet-2332	120	2	,	,	PUNCT
cet-2332	120	3	grisafi	grisafi	PROPN
cet-2332	120	4	.	.	PUNCT
cet-2332	121	1	f.	f.	PROPN
cet-2332	121	2	,montante	,montante	PROPN
cet-2332	121	3	.	.	PUNCT
cet-2332	122	1	g.	g.	PROPN
cet-2332	122	2	,	,	PUNCT
cet-2332	122	3	rizzuti	rizzuti	PROPN
cet-2332	122	4	.	.	PUNCT
cet-2332	123	1	l.	l.	PROPN
cet-2332	123	2	,	,	PUNCT
cet-2332	123	3	vella	vella	PROPN
cet-2332	123	4	.	.	PUNCT
cet-2332	124	1	g.	g.	PROPN
cet-2332	124	2	,	,	PUNCT
cet-2332	124	3	2006	2006	NUM
cet-2332	124	4	,	,	PUNCT
cet-2332	124	5	estimating	estimate	VERB
cet-2332	124	6	radiant	radiant	ADJ
cet-2332	124	7	fields	field	NOUN
cet-2332	124	8	in	in	ADP
cet-2332	124	9	flat	flat	ADJ
cet-2332	124	10	heterogeneous	heterogeneous	ADJ
cet-2332	124	11	photoreactors	photoreactor	NOUN
cet-2332	124	12	by	by	ADP
cet-2332	124	13	the	the	DET
cet-2332	124	14	six	six	NUM
cet-2332	124	15	-	-	PUNCT
cet-2332	124	16	flux	flux	NOUN
cet-2332	124	17	model	model	NOUN
cet-2332	124	18	,	,	PUNCT
cet-2332	124	19	published	publish	VERB
cet-2332	124	20	online	online	ADV
cet-2332	124	21	september	september	PROPN
cet-2332	124	22	15	15	NUM
cet-2332	124	23	,	,	PUNCT
cet-2332	124	24	in	in	ADP
cet-2332	124	25	wiley	wiley	PROPN
cet-2332	124	26	interscience	interscience	NOUN
cet-2332	124	27	(	(	PUNCT
cet-2332	124	28	www.interscience.wiley.com	www.interscience.wiley.com	X
cet-2332	124	29	)	)	PUNCT
cet-2332	124	30	.	.	PUNCT
cet-2332	125	1	brucato	brucato	NOUN
cet-2332	125	2	.	.	PUNCT
cet-2332	126	1	a.	a.	NOUN
cet-2332	126	2	,	,	PUNCT
cet-2332	126	3	rizzuti	rizzuti	PROPN
cet-2332	126	4	.	.	PUNCT
cet-2332	127	1	l	l	X
cet-2332	127	2	..	..	PUNCT
cet-2332	127	3	1997	1997	NUM
cet-2332	127	4	,	,	PUNCT
cet-2332	127	5	simplified	simplify	VERB
cet-2332	127	6	modeling	modeling	NOUN
cet-2332	127	7	of	of	ADP
cet-2332	127	8	radiant	radiant	ADJ
cet-2332	127	9	fields	field	NOUN
cet-2332	127	10	in	in	ADP
cet-2332	127	11	heterogeneous	heterogeneous	ADJ
cet-2332	127	12	photoreactors	photoreactor	NOUN
cet-2332	127	13	.	.	PUNCT
cet-2332	128	1	1	1	X
cet-2332	128	2	.	.	X
cet-2332	128	3	case	case	NOUN
cet-2332	128	4	of	of	ADP
cet-2332	128	5	zero	zero	NUM
cet-2332	128	6	reflectance	reflectance	NOUN
cet-2332	128	7	.	.	PUNCT
cet-2332	129	1	ind	ind	PROPN
cet-2332	129	2	.	.	PUNCT
cet-2332	130	1	eng	eng	PROPN
cet-2332	130	2	.	.	PROPN
cet-2332	130	3	chem	chem	PROPN
cet-2332	130	4	.	.	PUNCT
cet-2332	131	1	res	re	NOUN
cet-2332	131	2	.	.	PROPN
cet-2332	132	1	36	36	NUM
cet-2332	132	2	,	,	PUNCT
cet-2332	132	3	4740	4740	NUM
cet-2332	132	4	-	-	SYM
cet-2332	132	5	4747	4747	NUM
cet-2332	132	6	.	.	PUNCT
cet-2332	133	1	moreira	moreira	PROPN
cet-2332	133	2	,	,	PUNCT
cet-2332	133	3	j.	j.	PROPN
cet-2332	133	4	,	,	PUNCT
cet-2332	133	5	serrano	serrano	PROPN
cet-2332	133	6	,	,	PUNCT
cet-2332	133	7	b.	b.	PROPN
cet-2332	133	8	,	,	PUNCT
cet-2332	133	9	ortiz	ortiz	PROPN
cet-2332	133	10	a.	a.	PROPN
cet-2332	133	11	,	,	PUNCT
cet-2332	133	12	de	de	PROPN
cet-2332	133	13	lasa	lasa	PROPN
cet-2332	133	14	,	,	PUNCT
cet-2332	133	15	h.	h.	PROPN
cet-2332	133	16	,	,	PUNCT
cet-2332	133	17	2011	2011	NUM
cet-2332	133	18	tio2	tio2	NOUN
cet-2332	133	19	absortion	absortion	NOUN
cet-2332	133	20	and	and	CCONJ
cet-2332	133	21	scattering	scatter	VERB
cet-2332	133	22	coefficient	coefficient	NOUN
cet-2332	133	23	using	use	VERB
cet-2332	133	24	monte	monte	PROPN
cet-2332	133	25	carlo	carlo	PROPN
cet-2332	133	26	method	method	NOUN
cet-2332	133	27	and	and	CCONJ
cet-2332	133	28	macroscopic	macroscopic	ADJ
cet-2332	133	29	balances	balance	NOUN
cet-2332	133	30	in	in	ADP
cet-2332	133	31	a	a	DET
cet-2332	133	32	photo	photo	NOUN
cet-2332	133	33	-	-	PUNCT
cet-2332	133	34	crec	crec	NOUN
cet-2332	133	35	unit	unit	NOUN
cet-2332	133	36	.	.	PUNCT
cet-2332	134	1	chemical	chemical	NOUN
cet-2332	134	2	engineering	engineering	PROPN
cet-2332	134	3	science	science	NOUN
cet-2332	134	4	66	66	NUM
cet-2332	134	5	,	,	PUNCT
cet-2332	134	6	5813	5813	NUM
cet-2332	134	7	5821	5821	NUM
cet-2332	134	8	peral	peral	NOUN
cet-2332	134	9	-	-	PUNCT
cet-2332	134	10	alonso	alonso	PROPN
cet-2332	134	11	,	,	PUNCT
cet-2332	134	12	i.	i.	NOUN
cet-2332	134	13	,	,	PUNCT
cet-2332	134	14	1995	1995	NUM
cet-2332	134	15	,	,	PUNCT
cet-2332	134	16	primer	primer	PROPN
cet-2332	134	17	curso	curso	PROPN
cet-2332	134	18	de	de	PROPN
cet-2332	134	19	ecuaciones	ecuaciones	PROPN
cet-2332	134	20	diferenciales	diferenciale	VERB
cet-2332	134	21	parciales	parciale	NOUN
cet-2332	134	22	.	.	PUNCT
cet-2332	135	1	madrid	madrid	PROPN
cet-2332	135	2	.	.	PROPN
cet-2332	136	1	addisonweslesy	addisonweslesy	PROPN
cet-2332	136	2	/	/	SYM
cet-2332	136	3	universidad	universidad	PROPN
cet-2332	136	4	autónoma	autónoma	PROPN
cet-2332	136	5	de	de	PROPN
cet-2332	136	6	madrid	madrid	PROPN
cet-2332	136	7	.	.	PROPN
cet-2332	137	1	17	17	NUM
cet-2332	137	2	.	.	PUNCT
cet-2332	138	1	spiegel	spiegel	PROPN
cet-2332	138	2	,	,	PUNCT
cet-2332	138	3	m.	m.	NOUN
cet-2332	138	4	,	,	PUNCT
cet-2332	138	5	1959	1959	NUM
cet-2332	138	6	,	,	PUNCT
cet-2332	138	7	vector	vector	NOUN
cet-2332	138	8	analysis	analysis	NOUN
cet-2332	138	9	.	.	PUNCT
cet-2332	139	1	new	new	PROPN
cet-2332	139	2	york	york	PROPN
cet-2332	139	3	.	.	PUNCT
cet-2332	140	1	mcgraw	mcgraw	PROPN
cet-2332	140	2	hill	hill	PROPN
cet-2332	140	3	.	.	PUNCT
cet-2332	141	1	250	250	NUM
cet-2332	141	2	-	-	SYM
cet-2332	141	3	260	260	NUM
cet-2332	141	4	.	.	PUNCT
cet-2332	141	5	tessè	tessè	VERB
cet-2332	141	6	,	,	PUNCT
cet-2332	141	7	l.	l.	PROPN
cet-2332	141	8	,	,	PUNCT
cet-2332	141	9	lamet	lamet	VERB
cet-2332	141	10	,	,	PUNCT
cet-2332	141	11	j.m	j.m	PROPN
cet-2332	141	12	.	.	PROPN
cet-2332	141	13	,	,	PUNCT
cet-2332	141	14	2011	2011	NUM
cet-2332	141	15	,	,	PUNCT
cet-2332	141	16	radiative	radiative	ADJ
cet-2332	141	17	transfer	transfer	NOUN
cet-2332	141	18	modeling	modeling	NOUN
cet-2332	141	19	developed	develop	VERB
cet-2332	141	20	at	at	ADP
cet-2332	141	21	onera	onera	NOUN
cet-2332	141	22	for	for	ADP
cet-2332	141	23	numerical	numerical	ADJ
cet-2332	141	24	simulations	simulation	NOUN
cet-2332	141	25	of	of	ADP
cet-2332	141	26	reactive	reactive	ADJ
cet-2332	141	27	flows	flow	NOUN
cet-2332	141	28	.	.	PUNCT
cet-2332	142	1	the	the	DET
cet-2332	142	2	onera	onera	PROPN
cet-2332	142	3	journal	journal	PROPN
cet-2332	142	4	aerospace	aerospace	NOUN
cet-2332	142	5	lab	lab	NOUN
cet-2332	142	6	2	2	NUM
cet-2332	142	7	.	.	NOUN
cet-2332	142	8	1614	1614	NUM