id	sid	tid	token	lemma	pos
cana-5835	1	1	communications	communication	NOUN
cana-5835	1	2	on	on	ADP
cana-5835	1	3	applied	apply	VERB
cana-5835	1	4	nonlinear	nonlinear	ADJ
cana-5835	1	5	analysis	analysis	NOUN
cana-5835	1	6	issn	issn	NOUN
cana-5835	1	7	:	:	PUNCT
cana-5835	1	8	1074	1074	NUM
cana-5835	1	9	-	-	PUNCT
cana-5835	1	10	133x	133x	NUM
cana-5835	1	11	vol	vol	NOUN
cana-5835	1	12	32	32	NUM
cana-5835	1	13	no	no	NOUN
cana-5835	1	14	.	.	NOUN
cana-5835	1	15	1	1	NUM
cana-5835	1	16	(	(	PUNCT
cana-5835	1	17	2025	2025	NUM
cana-5835	1	18	)	)	PUNCT
cana-5835	1	19	https://internationalpubls.com	https://internationalpubls.com	X
cana-5835	1	20	566	566	NUM
cana-5835	1	21	spin	spin	VERB
cana-5835	1	22	dependent	dependent	ADJ
cana-5835	1	23	steady	steady	ADJ
cana-5835	1	24	state	state	NOUN
cana-5835	1	25	and	and	CCONJ
cana-5835	1	26	transient	transient	ADJ
cana-5835	1	27	gain	gain	NOUN
cana-5835	1	28	characteristics	characteristic	NOUN
cana-5835	1	29	of	of	ADP
cana-5835	1	30	stimulated	stimulate	VERB
cana-5835	1	31	brillouin	brillouin	NOUN
cana-5835	1	32	scattering	scattering	NOUN
cana-5835	1	33	in	in	ADP
cana-5835	1	34	magnetized	magnetized	ADJ
cana-5835	1	35	quantum	quantum	NOUN
cana-5835	1	36	plasma	plasma	NOUN
cana-5835	1	37	gopal	gopal	PROPN
cana-5835	1	38	chand	chand	PROPN
cana-5835	1	39	dangi1	dangi1	PROPN
cana-5835	1	40	,	,	PUNCT
cana-5835	1	41	ravi	ravi	PROPN
cana-5835	1	42	vanshpal2	vanshpal2	PROPN
cana-5835	1	43	ratna	ratna	PROPN
cana-5835	1	44	agrawal3	agrawal3	PROPN
cana-5835	2	1	1department	1department	NUM
cana-5835	2	2	of	of	ADP
cana-5835	2	3	physics	physics	NOUN
cana-5835	2	4	,	,	PUNCT
cana-5835	3	1	shri	shri	PROPN
cana-5835	3	2	vaishnav	vaishnav	PROPN
cana-5835	3	3	vidyapeeth	vidyapeeth	PROPN
cana-5835	3	4	vishwavidyalaya	vishwavidyalaya	PROPN
cana-5835	3	5	indore	indore	PROPN
cana-5835	3	6	(	(	PUNCT
cana-5835	3	7	m.p	m.p	PROPN
cana-5835	3	8	.	.	PROPN
cana-5835	3	9	)	)	PUNCT
cana-5835	4	1	india	india	PROPN
cana-5835	4	2	2department	2department	PROPN
cana-5835	4	3	of	of	ADP
cana-5835	4	4	physics	physics	PROPN
cana-5835	4	5	,	,	PUNCT
cana-5835	4	6	shri	shri	PROPN
cana-5835	4	7	vaishnav	vaishnav	PROPN
cana-5835	4	8	vidyapeeth	vidyapeeth	PROPN
cana-5835	4	9	vishwavidyalaya	vishwavidyalaya	PROPN
cana-5835	4	10	indore	indore	PROPN
cana-5835	4	11	(	(	PUNCT
cana-5835	4	12	m.p	m.p	PROPN
cana-5835	4	13	.	.	PROPN
cana-5835	4	14	)	)	PUNCT
cana-5835	5	1	india	india	PROPN
cana-5835	5	2	3school	3school	PROPN
cana-5835	5	3	of	of	ADP
cana-5835	5	4	studies	study	NOUN
cana-5835	5	5	in	in	ADP
cana-5835	5	6	physics	physics	PROPN
cana-5835	5	7	,	,	PUNCT
cana-5835	5	8	vikram	vikram	PROPN
cana-5835	5	9	university	university	PROPN
cana-5835	5	10	,	,	PUNCT
cana-5835	5	11	ujjain	ujjain	PROPN
cana-5835	5	12	456010	456010	NUM
cana-5835	5	13	,	,	PUNCT
cana-5835	5	14	india	india	PROPN
cana-5835	5	15	article	article	PROPN
cana-5835	5	16	history	history	NOUN
cana-5835	5	17	:	:	PUNCT
cana-5835	5	18	received	receive	VERB
cana-5835	5	19	:	:	PUNCT
cana-5835	5	20	14	14	NUM
cana-5835	5	21	-	-	SYM
cana-5835	5	22	11	11	NUM
cana-5835	5	23	-	-	PUNCT
cana-5835	5	24	2024	2024	NUM
cana-5835	5	25	revised	revise	VERB
cana-5835	5	26	:	:	PUNCT
cana-5835	5	27	15	15	NUM
cana-5835	5	28	-	-	SYM
cana-5835	5	29	12	12	NUM
cana-5835	5	30	-	-	PUNCT
cana-5835	5	31	2024	2024	NUM
cana-5835	5	32	accepted	accept	VERB
cana-5835	5	33	:	:	PUNCT
cana-5835	5	34	21	21	NUM
cana-5835	5	35	-	-	SYM
cana-5835	5	36	01	01	NUM
cana-5835	5	37	-	-	PUNCT
cana-5835	5	38	2025	2025	NUM
cana-5835	5	39	abstract	abstract	NOUN
cana-5835	5	40	the	the	DET
cana-5835	5	41	steady	steady	ADJ
cana-5835	5	42	state	state	NOUN
cana-5835	5	43	stability	stability	NOUN
cana-5835	5	44	and	and	CCONJ
cana-5835	5	45	the	the	DET
cana-5835	5	46	transient	transient	ADJ
cana-5835	5	47	gain	gain	VERB
cana-5835	5	48	features	feature	NOUN
cana-5835	5	49	of	of	ADP
cana-5835	5	50	stimulated	stimulate	VERB
cana-5835	5	51	brillouin	brillouin	NOUN
cana-5835	5	52	gain	gain	NOUN
cana-5835	5	53	in	in	ADP
cana-5835	5	54	the	the	DET
cana-5835	5	55	semiconductor	semiconductor	NOUN
cana-5835	5	56	plasmas	plasma	NOUN
cana-5835	5	57	are	be	AUX
cana-5835	5	58	examined	examine	VERB
cana-5835	5	59	whenever	whenever	SCONJ
cana-5835	5	60	an	an	DET
cana-5835	5	61	expanded	expand	VERB
cana-5835	5	62	quantum	quantum	ADJ
cana-5835	5	63	magnetohydrodynamic	magnetohydrodynamic	ADJ
cana-5835	5	64	formula	formula	NOUN
cana-5835	5	65	is	be	AUX
cana-5835	5	66	considered	consider	VERB
cana-5835	5	67	.	.	PUNCT
cana-5835	6	1	the	the	DET
cana-5835	6	2	model	model	NOUN
cana-5835	6	3	includes	include	VERB
cana-5835	6	4	primeval	primeval	NOUN
cana-5835	6	5	quantum	quantum	NOUN
cana-5835	6	6	corrections	correction	NOUN
cana-5835	6	7	including	include	VERB
cana-5835	6	8	the	the	DET
cana-5835	6	9	bohm	bohm	PROPN
cana-5835	6	10	potential	potential	NOUN
cana-5835	6	11	,	,	PUNCT
cana-5835	6	12	and	and	CCONJ
cana-5835	6	13	also	also	ADV
cana-5835	6	14	spin	spin	NOUN
cana-5835	6	15	-	-	PUNCT
cana-5835	6	16	generated	generate	VERB
cana-5835	6	17	effects	effect	NOUN
cana-5835	6	18	of	of	ADP
cana-5835	6	19	magnetization	magnetization	NOUN
cana-5835	6	20	to	to	PART
cana-5835	6	21	better	well	ADV
cana-5835	6	22	explain	explain	VERB
cana-5835	6	23	the	the	DET
cana-5835	6	24	electronic	electronic	ADJ
cana-5835	6	25	fluid	fluid	ADJ
cana-5835	6	26	behavior	behavior	NOUN
cana-5835	6	27	under	under	ADP
cana-5835	6	28	excitation	excitation	NOUN
cana-5835	6	29	of	of	ADP
cana-5835	6	30	the	the	DET
cana-5835	6	31	electromagnetic	electromagnetic	ADJ
cana-5835	6	32	field	field	NOUN
cana-5835	6	33	.	.	PUNCT
cana-5835	7	1	this	this	PRON
cana-5835	7	2	is	be	AUX
cana-5835	7	3	because	because	SCONJ
cana-5835	7	4	the	the	DET
cana-5835	7	5	third	third	ADJ
cana-5835	7	6	order	order	NOUN
cana-5835	7	7	nonlinear	nonlinear	ADJ
cana-5835	7	8	susceptibility	susceptibility	NOUN
cana-5835	7	9	is	be	AUX
cana-5835	7	10	responsible	responsible	ADJ
cana-5835	7	11	in	in	ADP
cana-5835	7	12	the	the	DET
cana-5835	7	13	amplification	amplification	NOUN
cana-5835	7	14	mechanism	mechanism	NOUN
cana-5835	7	15	known	know	VERB
cana-5835	7	16	as	as	ADP
cana-5835	7	17	the	the	DET
cana-5835	7	18	brillouin	brillouin	NOUN
cana-5835	7	19	amplification	amplification	NOUN
cana-5835	7	20	mechanism	mechanism	NOUN
cana-5835	7	21	and	and	CCONJ
cana-5835	7	22	therefore	therefore	ADV
cana-5835	7	23	this	this	PRON
cana-5835	7	24	is	be	AUX
cana-5835	7	25	as	as	ADP
cana-5835	7	26	a	a	DET
cana-5835	7	27	result	result	NOUN
cana-5835	7	28	of	of	ADP
cana-5835	7	29	the	the	DET
cana-5835	7	30	nonlinear	nonlinear	ADJ
cana-5835	7	31	current	current	ADJ
cana-5835	7	32	density	density	NOUN
cana-5835	7	33	and	and	CCONJ
cana-5835	7	34	electrostrictive	electrostrictive	ADJ
cana-5835	7	35	coupling	coupling	NOUN
cana-5835	7	36	of	of	ADP
cana-5835	7	37	the	the	DET
cana-5835	7	38	plasma	plasma	NOUN
cana-5835	7	39	medium	medium	NOUN
cana-5835	7	40	.	.	PUNCT
cana-5835	8	1	our	our	PRON
cana-5835	8	2	analysis	analysis	NOUN
cana-5835	8	3	demonstrates	demonstrate	VERB
cana-5835	8	4	that	that	SCONJ
cana-5835	8	5	both	both	PRON
cana-5835	8	6	spin	spin	VERB
cana-5835	8	7	polarization	polarization	NOUN
cana-5835	8	8	and	and	CCONJ
cana-5835	8	9	quantum	quantum	NOUN
cana-5835	8	10	corrections	correction	NOUN
cana-5835	8	11	significantly	significantly	ADV
cana-5835	8	12	alter	alter	VERB
cana-5835	8	13	the	the	DET
cana-5835	8	14	sbs	sbs	NOUN
cana-5835	8	15	gain	gain	NOUN
cana-5835	8	16	dynamics	dynamic	NOUN
cana-5835	8	17	.	.	PUNCT
cana-5835	9	1	notably	notably	ADV
cana-5835	9	2	,	,	PUNCT
cana-5835	9	3	the	the	DET
cana-5835	9	4	spin	spin	NOUN
cana-5835	9	5	effect	effect	NOUN
cana-5835	9	6	enhances	enhance	VERB
cana-5835	9	7	the	the	DET
cana-5835	9	8	brillouin	brillouin	NOUN
cana-5835	9	9	gain	gain	VERB
cana-5835	9	10	profile	profile	NOUN
cana-5835	9	11	and	and	CCONJ
cana-5835	9	12	leads	lead	VERB
cana-5835	9	13	to	to	ADP
cana-5835	9	14	a	a	DET
cana-5835	9	15	substantial	substantial	ADJ
cana-5835	9	16	reduction	reduction	NOUN
cana-5835	9	17	in	in	ADP
cana-5835	9	18	the	the	DET
cana-5835	9	19	threshold	threshold	NOUN
cana-5835	9	20	pump	pump	NOUN
cana-5835	9	21	intensity	intensity	NOUN
cana-5835	9	22	,	,	PUNCT
cana-5835	9	23	thereby	thereby	ADV
cana-5835	9	24	improving	improve	VERB
cana-5835	9	25	the	the	DET
cana-5835	9	26	efficiency	efficiency	NOUN
cana-5835	9	27	of	of	ADP
cana-5835	9	28	sbs	sbs	ADJ
cana-5835	9	29	generation	generation	NOUN
cana-5835	9	30	.	.	PUNCT
cana-5835	10	1	these	these	DET
cana-5835	10	2	results	result	NOUN
cana-5835	10	3	underscore	underscore	VERB
cana-5835	10	4	the	the	DET
cana-5835	10	5	critical	critical	ADJ
cana-5835	10	6	role	role	NOUN
cana-5835	10	7	of	of	ADP
cana-5835	10	8	spin	spin	NOUN
cana-5835	10	9	dynamics	dynamic	NOUN
cana-5835	10	10	in	in	ADP
cana-5835	10	11	tailoring	tailor	VERB
cana-5835	10	12	nonlinear	nonlinear	ADJ
cana-5835	10	13	optical	optical	ADJ
cana-5835	10	14	responses	response	NOUN
cana-5835	10	15	in	in	ADP
cana-5835	10	16	semiconductor	semiconductor	NOUN
cana-5835	10	17	plasmas	plasma	NOUN
cana-5835	10	18	and	and	CCONJ
cana-5835	10	19	offer	offer	VERB
cana-5835	10	20	valuable	valuable	ADJ
cana-5835	10	21	insights	insight	NOUN
cana-5835	10	22	for	for	ADP
cana-5835	10	23	the	the	DET
cana-5835	10	24	development	development	NOUN
cana-5835	10	25	of	of	ADP
cana-5835	10	26	spin	spin	NOUN
cana-5835	10	27	-	-	PUNCT
cana-5835	10	28	dependent	dependent	ADJ
cana-5835	10	29	photonic	photonic	ADJ
cana-5835	10	30	systems	system	NOUN
cana-5835	10	31	,	,	PUNCT
cana-5835	10	32	plasma	plasma	NOUN
cana-5835	10	33	-	-	PUNCT
cana-5835	10	34	based	base	VERB
cana-5835	10	35	amplifiers	amplifier	NOUN
cana-5835	10	36	,	,	PUNCT
cana-5835	10	37	and	and	CCONJ
cana-5835	10	38	quantum	quantum	ADJ
cana-5835	10	39	sensing	sensing	NOUN
cana-5835	10	40	technologies	technology	NOUN
cana-5835	10	41	.	.	PUNCT
cana-5835	11	1	1	1	X
cana-5835	11	2	.	.	X
cana-5835	11	3	introduction	introduction	NOUN
cana-5835	11	4	the	the	DET
cana-5835	11	5	interaction	interaction	NOUN
cana-5835	11	6	of	of	ADP
cana-5835	11	7	intense	intense	ADJ
cana-5835	11	8	electromagnetic	electromagnetic	ADJ
cana-5835	11	9	fields	field	NOUN
cana-5835	11	10	with	with	ADP
cana-5835	11	11	dense	dense	ADJ
cana-5835	11	12	media	medium	NOUN
cana-5835	11	13	has	have	AUX
cana-5835	11	14	led	lead	VERB
cana-5835	11	15	to	to	ADP
cana-5835	11	16	the	the	DET
cana-5835	11	17	emergence	emergence	NOUN
cana-5835	11	18	of	of	ADP
cana-5835	11	19	nonlinear	nonlinear	ADJ
cana-5835	11	20	optical	optical	ADJ
cana-5835	11	21	phenomena	phenomenon	NOUN
cana-5835	11	22	such	such	ADJ
cana-5835	11	23	as	as	ADP
cana-5835	11	24	stimulated	stimulate	VERB
cana-5835	11	25	brillouin	brillouin	NOUN
cana-5835	11	26	scattering	scattering	NOUN
cana-5835	11	27	(	(	PUNCT
cana-5835	11	28	sbs	sbs	NOUN
cana-5835	11	29	)	)	PUNCT
cana-5835	11	30	,	,	PUNCT
cana-5835	11	31	a	a	DET
cana-5835	11	32	process	process	NOUN
cana-5835	11	33	wherein	wherein	SCONJ
cana-5835	11	34	a	a	DET
cana-5835	11	35	monochromatic	monochromatic	ADJ
cana-5835	11	36	optical	optical	ADJ
cana-5835	11	37	wave	wave	NOUN
cana-5835	11	38	couples	couple	NOUN
cana-5835	11	39	with	with	ADP
cana-5835	11	40	an	an	DET
cana-5835	11	41	induced	induced	ADJ
cana-5835	11	42	acoustic	acoustic	ADJ
cana-5835	11	43	wave	wave	NOUN
cana-5835	11	44	through	through	ADP
cana-5835	11	45	the	the	DET
cana-5835	11	46	mechanism	mechanism	NOUN
cana-5835	11	47	of	of	ADP
cana-5835	11	48	optical	optical	ADJ
cana-5835	11	49	electrostriction	electrostriction	NOUN
cana-5835	11	50	.	.	PUNCT
cana-5835	12	1	this	this	DET
cana-5835	12	2	interaction	interaction	NOUN
cana-5835	12	3	facilitates	facilitate	VERB
cana-5835	12	4	the	the	DET
cana-5835	12	5	generation	generation	NOUN
cana-5835	12	6	and	and	CCONJ
cana-5835	12	7	amplification	amplification	NOUN
cana-5835	12	8	of	of	ADP
cana-5835	12	9	coherent	coherent	ADJ
cana-5835	12	10	optical	optical	ADJ
cana-5835	12	11	radiation	radiation	NOUN
cana-5835	12	12	with	with	ADP
cana-5835	12	13	fine	fine	ADJ
cana-5835	12	14	spectral	spectral	ADJ
cana-5835	12	15	tunability	tunability	NOUN
cana-5835	12	16	and	and	CCONJ
cana-5835	12	17	has	have	AUX
cana-5835	12	18	been	be	AUX
cana-5835	12	19	extensively	extensively	ADV
cana-5835	12	20	studied	study	VERB
cana-5835	12	21	in	in	ADP
cana-5835	12	22	plasmas	plasma	NOUN
cana-5835	12	23	and	and	CCONJ
cana-5835	12	24	condensed	condense	VERB
cana-5835	12	25	matter	matter	NOUN
cana-5835	12	26	systems	system	NOUN
cana-5835	12	27	[	[	X
cana-5835	12	28	1	1	NUM
cana-5835	12	29	-	-	SYM
cana-5835	12	30	3	3	NUM
cana-5835	12	31	]	]	PUNCT
cana-5835	12	32	.	.	PUNCT
cana-5835	13	1	sbs	sbs	PROPN
cana-5835	13	2	has	have	AUX
cana-5835	13	3	become	become	VERB
cana-5835	13	4	a	a	DET
cana-5835	13	5	vital	vital	ADJ
cana-5835	13	6	technique	technique	NOUN
cana-5835	13	7	in	in	ADP
cana-5835	13	8	photonics	photonic	NOUN
cana-5835	13	9	,	,	PUNCT
cana-5835	13	10	offering	offer	VERB
cana-5835	13	11	applications	application	NOUN
cana-5835	13	12	ranging	range	VERB
cana-5835	13	13	from	from	ADP
cana-5835	13	14	laser	laser	NOUN
cana-5835	13	15	frequency	frequency	NOUN
cana-5835	13	16	stabilization	stabilization	NOUN
cana-5835	13	17	and	and	CCONJ
cana-5835	13	18	signal	signal	NOUN
cana-5835	13	19	processing	processing	NOUN
cana-5835	13	20	to	to	ADP
cana-5835	13	21	high	high	ADJ
cana-5835	13	22	-	-	PUNCT
cana-5835	13	23	resolution	resolution	NOUN
cana-5835	13	24	spectroscopy	spectroscopy	NOUN
cana-5835	13	25	and	and	CCONJ
cana-5835	13	26	optical	optical	ADJ
cana-5835	13	27	phase	phase	NOUN
cana-5835	13	28	conjugation	conjugation	NOUN
cana-5835	13	29	[	[	X
cana-5835	13	30	4	4	NUM
cana-5835	13	31	-	-	SYM
cana-5835	13	32	5	5	NUM
cana-5835	13	33	]	]	PUNCT
cana-5835	13	34	.	.	PUNCT
cana-5835	14	1	in	in	ADP
cana-5835	14	2	recent	recent	ADJ
cana-5835	14	3	years	year	NOUN
cana-5835	14	4	,	,	PUNCT
cana-5835	14	5	the	the	DET
cana-5835	14	6	integration	integration	NOUN
cana-5835	14	7	of	of	ADP
cana-5835	14	8	quantum	quantum	ADJ
cana-5835	14	9	mechanical	mechanical	ADJ
cana-5835	14	10	effects	effect	NOUN
cana-5835	14	11	into	into	ADP
cana-5835	14	12	classical	classical	ADJ
cana-5835	14	13	plasma	plasma	NOUN
cana-5835	14	14	models	model	NOUN
cana-5835	14	15	has	have	AUX
cana-5835	14	16	opened	open	VERB
cana-5835	14	17	new	new	ADJ
cana-5835	14	18	avenues	avenue	NOUN
cana-5835	14	19	for	for	ADP
cana-5835	14	20	understanding	understand	VERB
cana-5835	14	21	plasma	plasma	NOUN
cana-5835	14	22	dynamics	dynamic	NOUN
cana-5835	14	23	at	at	ADP
cana-5835	14	24	nanoscales	nanoscale	NOUN
cana-5835	14	25	.	.	PUNCT
cana-5835	15	1	notably	notably	ADV
cana-5835	15	2	,	,	PUNCT
cana-5835	15	3	the	the	DET
cana-5835	15	4	role	role	NOUN
cana-5835	15	5	of	of	ADP
cana-5835	15	6	the	the	DET
cana-5835	15	7	electron	electron	NOUN
cana-5835	15	8	's	's	PART
cana-5835	15	9	intrinsic	intrinsic	ADJ
cana-5835	15	10	spin	spin	NOUN
cana-5835	16	1	[	[	X
cana-5835	16	2	6	6	NUM
cana-5835	16	3	]	]	PUNCT
cana-5835	16	4	,	,	PUNCT
cana-5835	16	5	once	once	ADV
cana-5835	16	6	considered	consider	VERB
cana-5835	16	7	negligible	negligible	ADJ
cana-5835	16	8	in	in	ADP
cana-5835	16	9	many	many	ADJ
cana-5835	16	10	plasma	plasma	NOUN
cana-5835	16	11	systems	system	NOUN
cana-5835	16	12	,	,	PUNCT
cana-5835	16	13	has	have	AUX
cana-5835	16	14	gained	gain	VERB
cana-5835	16	15	attention	attention	NOUN
cana-5835	16	16	for	for	ADP
cana-5835	16	17	its	its	PRON
cana-5835	16	18	significant	significant	ADJ
cana-5835	16	19	impact	impact	NOUN
cana-5835	16	20	on	on	ADP
cana-5835	16	21	wave	wave	NOUN
cana-5835	16	22	dispersion	dispersion	NOUN
cana-5835	16	23	,	,	PUNCT
cana-5835	16	24	stability	stability	NOUN
cana-5835	16	25	,	,	PUNCT
cana-5835	16	26	and	and	CCONJ
cana-5835	16	27	transport	transport	NOUN
cana-5835	16	28	properties	property	NOUN
cana-5835	16	29	.	.	PUNCT
cana-5835	17	1	electron	electron	NOUN
cana-5835	17	2	spin	spin	NOUN
cana-5835	17	3	effects	effect	NOUN
cana-5835	17	4	have	have	AUX
cana-5835	17	5	not	not	PART
cana-5835	17	6	only	only	ADV
cana-5835	17	7	enriched	enrich	VERB
cana-5835	17	8	the	the	DET
cana-5835	17	9	theoretical	theoretical	ADJ
cana-5835	17	10	framework	framework	NOUN
cana-5835	17	11	of	of	ADP
cana-5835	17	12	plasma	plasma	NOUN
cana-5835	17	13	physics	physics	NOUN
cana-5835	17	14	but	but	CCONJ
cana-5835	17	15	also	also	ADV
cana-5835	17	16	inspired	inspire	VERB
cana-5835	17	17	emerging	emerge	VERB
cana-5835	17	18	applications	application	NOUN
cana-5835	17	19	in	in	ADP
cana-5835	17	20	spintronics	spintronic	NOUN
cana-5835	17	21	,	,	PUNCT
cana-5835	17	22	quantum	quantum	ADJ
cana-5835	17	23	computation	computation	NOUN
cana-5835	17	24	,	,	PUNCT
cana-5835	17	25	and	and	CCONJ
cana-5835	17	26	spin	spin	NOUN
cana-5835	17	27	-	-	PUNCT
cana-5835	17	28	based	base	VERB
cana-5835	17	29	diagnostic	diagnostic	ADJ
cana-5835	17	30	techniques	technique	NOUN
cana-5835	17	31	[	[	X
cana-5835	17	32	7,8	7,8	NUM
cana-5835	17	33	]	]	PUNCT
cana-5835	17	34	.	.	PUNCT
cana-5835	18	1	the	the	DET
cana-5835	18	2	spin	spin	NOUN
cana-5835	18	3	of	of	ADP
cana-5835	18	4	charged	charge	VERB
cana-5835	18	5	particles	particle	NOUN
cana-5835	18	6	introduces	introduce	VERB
cana-5835	18	7	additional	additional	ADJ
cana-5835	18	8	magnetic	magnetic	ADJ
cana-5835	18	9	moment	moment	NOUN
cana-5835	18	10	interactions	interaction	NOUN
cana-5835	18	11	,	,	PUNCT
cana-5835	18	12	leading	lead	VERB
cana-5835	18	13	to	to	ADP
cana-5835	18	14	spin	spin	NOUN
cana-5835	18	15	-	-	PUNCT
cana-5835	18	16	current	current	ADJ
cana-5835	18	17	coupling	coupling	NOUN
cana-5835	18	18	and	and	CCONJ
cana-5835	18	19	spin	spin	NOUN
cana-5835	18	20	-	-	PUNCT
cana-5835	18	21	induced	induce	VERB
cana-5835	18	22	forces	force	NOUN
cana-5835	18	23	,	,	PUNCT
cana-5835	18	24	which	which	PRON
cana-5835	18	25	are	be	AUX
cana-5835	18	26	particularly	particularly	ADV
cana-5835	18	27	relevant	relevant	ADJ
cana-5835	18	28	in	in	ADP
cana-5835	18	29	magnetized	magnetized	ADJ
cana-5835	18	30	environments	environment	NOUN
cana-5835	18	31	such	such	ADJ
cana-5835	18	32	as	as	ADP
cana-5835	18	33	astrophysical	astrophysical	ADJ
cana-5835	18	34	plasmas	plasma	NOUN
cana-5835	18	35	and	and	CCONJ
cana-5835	18	36	semiconductor	semiconductor	NOUN
cana-5835	18	37	-	-	PUNCT
cana-5835	18	38	based	base	VERB
cana-5835	18	39	quantum	quantum	NOUN
cana-5835	18	40	plasmas	plasma	NOUN
cana-5835	18	41	.	.	PUNCT
cana-5835	19	1	to	to	PART
cana-5835	19	2	rigorously	rigorously	ADV
cana-5835	19	3	account	account	VERB
cana-5835	19	4	for	for	ADP
cana-5835	19	5	these	these	DET
cana-5835	19	6	quantum	quantum	ADJ
cana-5835	19	7	spin	spin	NOUN
cana-5835	19	8	effects	effect	NOUN
cana-5835	19	9	,	,	PUNCT
cana-5835	19	10	the	the	DET
cana-5835	19	11	quantum	quantum	ADJ
cana-5835	19	12	magnetohydrodynamic	magnetohydrodynamic	ADJ
cana-5835	19	13	model	model	NOUN
cana-5835	19	14	has	have	AUX
cana-5835	19	15	been	be	AUX
cana-5835	19	16	developed	develop	VERB
cana-5835	19	17	[	[	PUNCT
cana-5835	19	18	9	9	NUM
cana-5835	19	19	]	]	PUNCT
cana-5835	19	20	.	.	PUNCT
cana-5835	20	1	this	this	DET
cana-5835	20	2	model	model	NOUN
cana-5835	20	3	extends	extend	VERB
cana-5835	20	4	the	the	DET
cana-5835	20	5	classical	classical	ADJ
cana-5835	20	6	magnetohydrodynamic	magnetohydrodynamic	ADJ
cana-5835	20	7	(	(	PUNCT
cana-5835	20	8	mhd	mhd	NOUN
cana-5835	20	9	)	)	PUNCT
cana-5835	20	10	framework	framework	NOUN
cana-5835	20	11	by	by	ADP
cana-5835	20	12	incorporating	incorporate	VERB
cana-5835	20	13	quantum	quantum	ADJ
cana-5835	20	14	statistical	statistical	ADJ
cana-5835	20	15	pressure	pressure	NOUN
cana-5835	20	16	or	or	CCONJ
cana-5835	20	17	fermi	fermi	NOUN
cana-5835	20	18	pressure	pressure	NOUN
cana-5835	20	19	,	,	PUNCT
cana-5835	20	20	bohm	bohm	PROPN
cana-5835	20	21	quantum	quantum	ADJ
cana-5835	20	22	potential	potential	NOUN
cana-5835	20	23	(	(	PUNCT
cana-5835	20	24	accounting	account	VERB
cana-5835	20	25	for	for	ADP
cana-5835	20	26	quantum	quantum	ADJ
cana-5835	20	27	diffraction	diffraction	NOUN
cana-5835	20	28	)	)	PUNCT
cana-5835	20	29	,	,	PUNCT
cana-5835	20	30	and	and	CCONJ
cana-5835	20	31	spin	spin	NOUN
cana-5835	20	32	-	-	PUNCT
cana-5835	20	33	induced	induce	VERB
cana-5835	20	34	magnetization	magnetization	NOUN
cana-5835	20	35	effects	effect	NOUN
cana-5835	20	36	via	via	ADP
cana-5835	20	37	the	the	DET
cana-5835	20	38	pauli	pauli	PROPN
cana-5835	20	39	equation	equation	NOUN
cana-5835	20	40	formalism	formalism	NOUN
cana-5835	20	41	.	.	PUNCT
cana-5835	21	1	communications	communication	NOUN
cana-5835	21	2	on	on	ADP
cana-5835	21	3	applied	apply	VERB
cana-5835	21	4	nonlinear	nonlinear	ADJ
cana-5835	21	5	analysis	analysis	NOUN
cana-5835	21	6	issn	issn	NOUN
cana-5835	21	7	:	:	PUNCT
cana-5835	21	8	1074	1074	NUM
cana-5835	21	9	-	-	PUNCT
cana-5835	21	10	133x	133x	NUM
cana-5835	21	11	vol	vol	NOUN
cana-5835	21	12	32	32	NUM
cana-5835	21	13	no	no	NOUN
cana-5835	21	14	.	.	NOUN
cana-5835	21	15	1	1	NUM
cana-5835	21	16	(	(	PUNCT
cana-5835	21	17	2025	2025	NUM
cana-5835	21	18	)	)	PUNCT
cana-5835	21	19	https://internationalpubls.com	https://internationalpubls.com	X
cana-5835	21	20	567	567	NUM
cana-5835	21	21	the	the	DET
cana-5835	21	22	qmhd	qmhd	NOUN
cana-5835	21	23	model	model	NOUN
cana-5835	21	24	thus	thus	ADV
cana-5835	21	25	provides	provide	VERB
cana-5835	21	26	a	a	DET
cana-5835	21	27	robust	robust	ADJ
cana-5835	21	28	platform	platform	NOUN
cana-5835	21	29	to	to	PART
cana-5835	21	30	study	study	VERB
cana-5835	21	31	collective	collective	ADJ
cana-5835	21	32	plasma	plasma	NOUN
cana-5835	21	33	behaviors	behavior	NOUN
cana-5835	21	34	influenced	influence	VERB
cana-5835	21	35	by	by	ADP
cana-5835	21	36	both	both	DET
cana-5835	21	37	quantum	quantum	ADJ
cana-5835	21	38	mechanics	mechanic	NOUN
cana-5835	21	39	and	and	CCONJ
cana-5835	21	40	magnetism	magnetism	NOUN
cana-5835	22	1	[	[	X
cana-5835	22	2	10	10	NUM
cana-5835	22	3	]	]	PUNCT
cana-5835	22	4	.	.	PUNCT
cana-5835	23	1	in	in	ADP
cana-5835	23	2	semiconductor	semiconductor	NOUN
cana-5835	23	3	plasmas	plasma	NOUN
cana-5835	23	4	,	,	PUNCT
cana-5835	23	5	particularly	particularly	ADV
cana-5835	23	6	in	in	ADP
cana-5835	23	7	piezoelectric	piezoelectric	ADJ
cana-5835	23	8	crystals	crystal	NOUN
cana-5835	23	9	,	,	PUNCT
cana-5835	23	10	quantum	quantum	ADJ
cana-5835	23	11	mechanical	mechanical	ADJ
cana-5835	23	12	effects	effect	NOUN
cana-5835	23	13	become	become	VERB
cana-5835	23	14	increasingly	increasingly	ADV
cana-5835	23	15	significant	significant	ADJ
cana-5835	23	16	due	due	ADP
cana-5835	23	17	to	to	ADP
cana-5835	23	18	the	the	DET
cana-5835	23	19	reduced	reduce	VERB
cana-5835	23	20	carrier	carrier	NOUN
cana-5835	23	21	density	density	NOUN
cana-5835	23	22	,	,	PUNCT
cana-5835	23	23	small	small	ADJ
cana-5835	23	24	effective	effective	ADJ
cana-5835	23	25	masses	masse	NOUN
cana-5835	23	26	,	,	PUNCT
cana-5835	23	27	and	and	CCONJ
cana-5835	23	28	the	the	DET
cana-5835	23	29	ability	ability	NOUN
cana-5835	23	30	to	to	PART
cana-5835	23	31	confine	confine	VERB
cana-5835	23	32	carriers	carrier	NOUN
cana-5835	23	33	in	in	ADP
cana-5835	23	34	nanostructured	nanostructure	VERB
cana-5835	23	35	geometries	geometry	NOUN
cana-5835	23	36	[	[	X
cana-5835	23	37	11	11	NUM
cana-5835	23	38	]	]	PUNCT
cana-5835	23	39	.	.	PUNCT
cana-5835	24	1	these	these	DET
cana-5835	24	2	factors	factor	NOUN
cana-5835	24	3	enhance	enhance	VERB
cana-5835	24	4	the	the	DET
cana-5835	24	5	de	de	X
cana-5835	24	6	broglie	broglie	PROPN
cana-5835	24	7	wavelength	wavelength	NOUN
cana-5835	24	8	of	of	ADP
cana-5835	24	9	carriers	carrier	NOUN
cana-5835	24	10	,	,	PUNCT
cana-5835	24	11	making	make	VERB
cana-5835	24	12	quantum	quantum	ADJ
cana-5835	24	13	tunneling	tunneling	NOUN
cana-5835	24	14	,	,	PUNCT
cana-5835	24	15	nonlocality	nonlocality	NOUN
cana-5835	24	16	,	,	PUNCT
cana-5835	24	17	and	and	CCONJ
cana-5835	24	18	spin	spin	VERB
cana-5835	24	19	interactions	interaction	NOUN
cana-5835	24	20	essential	essential	ADJ
cana-5835	24	21	to	to	PART
cana-5835	24	22	consider	consider	VERB
cana-5835	24	23	[	[	PRON
cana-5835	24	24	1213	1213	NUM
cana-5835	24	25	]	]	PUNCT
cana-5835	24	26	.	.	PUNCT
cana-5835	25	1	under	under	ADP
cana-5835	25	2	high	high	ADJ
cana-5835	25	3	magnetic	magnetic	ADJ
cana-5835	25	4	fields	field	NOUN
cana-5835	25	5	or	or	CCONJ
cana-5835	25	6	near	near	ADP
cana-5835	25	7	cyclotron	cyclotron	NOUN
cana-5835	25	8	resonance	resonance	NOUN
cana-5835	25	9	,	,	PUNCT
cana-5835	25	10	these	these	DET
cana-5835	25	11	systems	system	NOUN
cana-5835	25	12	exhibit	exhibit	VERB
cana-5835	25	13	enhanced	enhanced	ADJ
cana-5835	25	14	nonlinearities	nonlinearitie	NOUN
cana-5835	25	15	,	,	PUNCT
cana-5835	25	16	enabling	enable	VERB
cana-5835	25	17	experimental	experimental	ADJ
cana-5835	25	18	access	access	NOUN
cana-5835	25	19	to	to	ADP
cana-5835	25	20	regimes	regime	NOUN
cana-5835	25	21	where	where	SCONJ
cana-5835	25	22	classical	classical	ADJ
cana-5835	25	23	models	model	NOUN
cana-5835	25	24	fall	fall	VERB
cana-5835	25	25	short	short	ADJ
cana-5835	25	26	.	.	PUNCT
cana-5835	26	1	despite	despite	SCONJ
cana-5835	26	2	the	the	DET
cana-5835	26	3	extensive	extensive	ADJ
cana-5835	26	4	literature	literature	NOUN
cana-5835	26	5	on	on	ADP
cana-5835	26	6	sbs	sbs	NOUN
cana-5835	26	7	in	in	ADP
cana-5835	26	8	classical	classical	ADJ
cana-5835	26	9	and	and	CCONJ
cana-5835	26	10	quantum	quantum	NOUN
cana-5835	26	11	plasmas	plasma	NOUN
cana-5835	26	12	,	,	PUNCT
cana-5835	26	13	the	the	DET
cana-5835	26	14	combined	combined	ADJ
cana-5835	26	15	influence	influence	NOUN
cana-5835	26	16	of	of	ADP
cana-5835	26	17	quantum	quantum	NOUN
cana-5835	26	18	spin	spin	NOUN
cana-5835	26	19	dynamics	dynamic	NOUN
cana-5835	26	20	on	on	ADP
cana-5835	26	21	steady	steady	ADJ
cana-5835	26	22	-	-	PUNCT
cana-5835	26	23	state	state	NOUN
cana-5835	26	24	and	and	CCONJ
cana-5835	26	25	transient	transient	ADJ
cana-5835	26	26	brillouin	brillouin	NOUN
cana-5835	26	27	gain	gain	NOUN
cana-5835	26	28	characteristics	characteristic	NOUN
cana-5835	26	29	has	have	AUX
cana-5835	26	30	remained	remain	VERB
cana-5835	26	31	relatively	relatively	ADV
cana-5835	26	32	unexplored	unexplored	ADJ
cana-5835	26	33	.	.	PUNCT
cana-5835	27	1	in	in	ADP
cana-5835	27	2	response	response	NOUN
cana-5835	27	3	to	to	ADP
cana-5835	27	4	this	this	DET
cana-5835	27	5	shortcoming	shortcoming	NOUN
cana-5835	27	6	,	,	PUNCT
cana-5835	27	7	the	the	DET
cana-5835	27	8	proposed	propose	VERB
cana-5835	27	9	work	work	NOUN
cana-5835	27	10	examines	examine	NOUN
cana-5835	27	11	,	,	PUNCT
cana-5835	27	12	to	to	ADP
cana-5835	27	13	the	the	DET
cana-5835	27	14	best	good	ADJ
cana-5835	27	15	of	of	ADP
cana-5835	27	16	our	our	PRON
cana-5835	27	17	knowledge	knowledge	NOUN
cana-5835	27	18	,	,	PUNCT
cana-5835	27	19	the	the	DET
cana-5835	27	20	spin	spin	NOUN
cana-5835	27	21	induced	induce	VERB
cana-5835	27	22	quantum	quantum	ADJ
cana-5835	27	23	corrections	correction	NOUN
cana-5835	27	24	on	on	ADP
cana-5835	27	25	sbs	sbs	NOUN
cana-5835	27	26	in	in	ADP
cana-5835	27	27	magnetized	magnetize	VERB
cana-5835	27	28	semiconductor	semiconductor	NOUN
cana-5835	27	29	plasmas	plasma	NOUN
cana-5835	27	30	using	use	VERB
cana-5835	27	31	the	the	DET
cana-5835	27	32	qmhd	qmhd	NOUN
cana-5835	27	33	model	model	NOUN
cana-5835	27	34	.	.	PUNCT
cana-5835	28	1	we	we	PRON
cana-5835	28	2	analytically	analytically	ADV
cana-5835	28	3	derive	derive	VERB
cana-5835	28	4	the	the	DET
cana-5835	28	5	modified	modify	VERB
cana-5835	28	6	brillouin	brillouin	NOUN
cana-5835	28	7	gain	gain	VERB
cana-5835	28	8	profiles	profile	NOUN
cana-5835	28	9	by	by	ADP
cana-5835	28	10	incorporating	incorporate	VERB
cana-5835	28	11	spin	spin	NOUN
cana-5835	28	12	magnetization	magnetization	NOUN
cana-5835	28	13	forces	force	NOUN
cana-5835	28	14	and	and	CCONJ
cana-5835	28	15	quantum	quantum	NOUN
cana-5835	28	16	potentials	potential	NOUN
cana-5835	28	17	.	.	PUNCT
cana-5835	29	1	our	our	PRON
cana-5835	29	2	results	result	NOUN
cana-5835	29	3	reveal	reveal	VERB
cana-5835	29	4	that	that	SCONJ
cana-5835	29	5	spin	spin	NOUN
cana-5835	29	6	effects	effect	NOUN
cana-5835	29	7	not	not	PART
cana-5835	29	8	only	only	ADV
cana-5835	29	9	enhance	enhance	VERB
cana-5835	29	10	brillouin	brillouin	NOUN
cana-5835	29	11	gain	gain	NOUN
cana-5835	29	12	constants	constant	NOUN
cana-5835	29	13	but	but	CCONJ
cana-5835	29	14	also	also	ADV
cana-5835	29	15	lower	lower	VERB
cana-5835	29	16	the	the	DET
cana-5835	29	17	threshold	threshold	NOUN
cana-5835	29	18	pump	pump	NOUN
cana-5835	29	19	intensity	intensity	NOUN
cana-5835	29	20	for	for	ADP
cana-5835	29	21	sbs	sbs	ADJ
cana-5835	29	22	excitation	excitation	NOUN
cana-5835	29	23	.	.	PUNCT
cana-5835	30	1	this	this	DET
cana-5835	30	2	manuscript	manuscript	NOUN
cana-5835	30	3	is	be	AUX
cana-5835	30	4	structured	structure	VERB
cana-5835	30	5	as	as	SCONJ
cana-5835	30	6	follows	follow	VERB
cana-5835	30	7	:	:	PUNCT
cana-5835	30	8	section	section	NOUN
cana-5835	30	9	2	2	NUM
cana-5835	30	10	outlines	outline	VERB
cana-5835	30	11	the	the	DET
cana-5835	30	12	theoretical	theoretical	ADJ
cana-5835	30	13	foundation	foundation	NOUN
cana-5835	30	14	based	base	VERB
cana-5835	30	15	on	on	ADP
cana-5835	30	16	the	the	DET
cana-5835	30	17	qmhd	qmhd	NOUN
cana-5835	30	18	model	model	NOUN
cana-5835	30	19	and	and	CCONJ
cana-5835	30	20	derives	derive	VERB
cana-5835	30	21	the	the	DET
cana-5835	30	22	governing	govern	VERB
cana-5835	30	23	equations	equation	NOUN
cana-5835	30	24	relevant	relevant	ADJ
cana-5835	30	25	to	to	AUX
cana-5835	30	26	stimulated	stimulate	VERB
cana-5835	30	27	brillouin	brillouin	NOUN
cana-5835	30	28	scattering	scattering	NOUN
cana-5835	30	29	(	(	PUNCT
cana-5835	30	30	sbs	sbs	NOUN
cana-5835	30	31	)	)	PUNCT
cana-5835	30	32	in	in	ADP
cana-5835	30	33	spin	spin	NOUN
cana-5835	30	34	-	-	PUNCT
cana-5835	30	35	influenced	influence	VERB
cana-5835	30	36	semiconductor	semiconductor	NOUN
cana-5835	30	37	plasmas	plasma	NOUN
cana-5835	30	38	.	.	PUNCT
cana-5835	31	1	the	the	DET
cana-5835	31	2	subsections	subsection	NOUN
cana-5835	31	3	2.1	2.1	NUM
cana-5835	31	4	and	and	CCONJ
cana-5835	31	5	2.2	2.2	NUM
cana-5835	31	6	detail	detail	NOUN
cana-5835	31	7	the	the	DET
cana-5835	31	8	steady	steady	ADJ
cana-5835	31	9	-	-	PUNCT
cana-5835	31	10	state	state	NOUN
cana-5835	31	11	and	and	CCONJ
cana-5835	31	12	transient	transient	ADJ
cana-5835	31	13	gain	gain	NOUN
cana-5835	31	14	characteristics	characteristic	NOUN
cana-5835	31	15	,	,	PUNCT
cana-5835	31	16	respectively	respectively	ADV
cana-5835	31	17	,	,	PUNCT
cana-5835	31	18	while	while	SCONJ
cana-5835	31	19	section	section	NOUN
cana-5835	31	20	2.3	2.3	NUM
cana-5835	31	21	elaborates	elaborate	VERB
cana-5835	31	22	on	on	ADP
cana-5835	31	23	the	the	DET
cana-5835	31	24	nonlinear	nonlinear	ADJ
cana-5835	31	25	structure	structure	NOUN
cana-5835	31	26	of	of	ADP
cana-5835	31	27	the	the	DET
cana-5835	31	28	model	model	NOUN
cana-5835	31	29	and	and	CCONJ
cana-5835	31	30	its	its	PRON
cana-5835	31	31	broader	broad	ADJ
cana-5835	31	32	implications	implication	NOUN
cana-5835	31	33	.	.	PUNCT
cana-5835	32	1	section	section	NOUN
cana-5835	32	2	3	3	NUM
cana-5835	32	3	presents	present	VERB
cana-5835	32	4	numerical	numerical	ADJ
cana-5835	32	5	simulations	simulation	NOUN
cana-5835	32	6	carried	carry	VERB
cana-5835	32	7	out	out	ADP
cana-5835	32	8	for	for	ADP
cana-5835	32	9	an	an	DET
cana-5835	32	10	ninsb	ninsb	NOUN
cana-5835	32	11	semiconductor	semiconductor	NOUN
cana-5835	32	12	crystal	crystal	NOUN
cana-5835	32	13	subjected	subject	VERB
cana-5835	32	14	to	to	AUX
cana-5835	32	15	pulsed	pulse	VERB
cana-5835	32	16	co₂	co₂	PROPN
cana-5835	32	17	laser	laser	NOUN
cana-5835	32	18	excitation	excitation	NOUN
cana-5835	32	19	,	,	PUNCT
cana-5835	32	20	highlighting	highlight	VERB
cana-5835	32	21	the	the	DET
cana-5835	32	22	influence	influence	NOUN
cana-5835	32	23	of	of	ADP
cana-5835	32	24	spin	spin	NOUN
cana-5835	32	25	polarization	polarization	NOUN
cana-5835	32	26	and	and	CCONJ
cana-5835	32	27	quantum	quantum	NOUN
cana-5835	32	28	effects	effect	NOUN
cana-5835	32	29	.	.	PUNCT
cana-5835	33	1	finally	finally	ADV
cana-5835	33	2	,	,	PUNCT
cana-5835	33	3	section	section	NOUN
cana-5835	33	4	4	4	NUM
cana-5835	33	5	summarizes	summarize	NOUN
cana-5835	33	6	the	the	DET
cana-5835	33	7	principal	principal	ADJ
cana-5835	33	8	findings	finding	NOUN
cana-5835	33	9	and	and	CCONJ
cana-5835	33	10	discusses	discuss	VERB
cana-5835	33	11	their	their	PRON
cana-5835	33	12	relevance	relevance	NOUN
cana-5835	33	13	to	to	ADP
cana-5835	33	14	future	future	ADJ
cana-5835	33	15	developments	development	NOUN
cana-5835	33	16	in	in	ADP
cana-5835	33	17	quantum	quantum	ADJ
cana-5835	33	18	plasma	plasma	NOUN
cana-5835	33	19	technologies	technology	NOUN
cana-5835	33	20	and	and	CCONJ
cana-5835	33	21	spin	spin	NOUN
cana-5835	33	22	-	-	PUNCT
cana-5835	33	23	sensitive	sensitive	ADJ
cana-5835	33	24	optical	optical	ADJ
cana-5835	33	25	applications	application	NOUN
cana-5835	33	26	.	.	PUNCT
cana-5835	34	1	2	2	X
cana-5835	34	2	.	.	X
cana-5835	34	3	theoretical	theoretical	ADJ
cana-5835	34	4	formulations	formulation	NOUN
cana-5835	34	5	here	here	ADV
cana-5835	34	6	in	in	ADP
cana-5835	34	7	this	this	DET
cana-5835	34	8	section	section	NOUN
cana-5835	34	9	,	,	PUNCT
cana-5835	34	10	we	we	PRON
cana-5835	34	11	have	have	AUX
cana-5835	34	12	talked	talk	VERB
cana-5835	34	13	about	about	ADP
cana-5835	34	14	the	the	DET
cana-5835	34	15	field	field	NOUN
cana-5835	34	16	theoretical	theoretical	ADJ
cana-5835	34	17	expression	expression	NOUN
cana-5835	34	18	of	of	ADP
cana-5835	34	19	the	the	DET
cana-5835	34	20	third	third	ADJ
cana-5835	34	21	order	order	NOUN
cana-5835	34	22	nonlinear	nonlinear	ADJ
cana-5835	34	23	optical	optical	ADJ
cana-5835	34	24	susceptibility	susceptibility	NOUN
cana-5835	34	25	𝜒𝐵	𝜒𝐵	X
cana-5835	34	26	(	(	PUNCT
cana-5835	34	27	3	3	NUM
cana-5835	34	28	)	)	PUNCT
cana-5835	34	29	of	of	ADP
cana-5835	34	30	the	the	DET
cana-5835	34	31	stokes	stoke	NOUN
cana-5835	34	32	part	part	NOUN
cana-5835	34	33	of	of	ADP
cana-5835	34	34	the	the	DET
cana-5835	34	35	scattered	scatter	VERB
cana-5835	34	36	electromagnetic	electromagnetic	ADJ
cana-5835	34	37	wave	wave	NOUN
cana-5835	34	38	of	of	ADP
cana-5835	34	39	the	the	DET
cana-5835	34	40	doped	doped	ADJ
cana-5835	34	41	semiconductor	semiconductor	NOUN
cana-5835	34	42	qmhd	qmhd	NOUN
cana-5835	34	43	model	model	NOUN
cana-5835	34	44	.	.	PUNCT
cana-5835	35	1	we	we	PRON
cana-5835	35	2	have	have	AUX
cana-5835	35	3	chosen	choose	VERB
cana-5835	35	4	a	a	DET
cana-5835	35	5	model	model	NOUN
cana-5835	35	6	which	which	PRON
cana-5835	35	7	is	be	AUX
cana-5835	35	8	the	the	DET
cana-5835	35	9	magneto	magneto	ADJ
cana-5835	35	10	hydrodynamical	hydrodynamical	ADJ
cana-5835	35	11	model	model	NOUN
cana-5835	35	12	of	of	ADP
cana-5835	35	13	a	a	DET
cana-5835	35	14	homogenous	homogenous	ADJ
cana-5835	35	15	one	one	NUM
cana-5835	35	16	component	component	NOUN
cana-5835	35	17	(	(	PUNCT
cana-5835	35	18	electron	electron	NOUN
cana-5835	35	19	)	)	PUNCT
cana-5835	35	20	plasma	plasma	NOUN
cana-5835	35	21	in	in	ADP
cana-5835	35	22	thermodynamic	thermodynamic	ADJ
cana-5835	35	23	equilibrium	equilibrium	NOUN
cana-5835	35	24	and	and	CCONJ
cana-5835	35	25	that	that	PRON
cana-5835	35	26	satisfies	satisfy	VERB
cana-5835	35	27	the	the	DET
cana-5835	35	28	condition	condition	NOUN
cana-5835	35	29	𝑘𝑎𝑙	𝑘𝑎𝑙	VERB
cana-5835	35	30	<	<	X
cana-5835	35	31	<	<	X
cana-5835	35	32	1	1	NUM
cana-5835	35	33	(	(	PUNCT
cana-5835	35	34	𝑘𝑎	𝑘𝑎	PROPN
cana-5835	35	35	is	be	AUX
cana-5835	35	36	acoustic	acoustic	ADJ
cana-5835	35	37	wave	wave	NOUN
cana-5835	35	38	vector	vector	NOUN
cana-5835	35	39	and	and	CCONJ
cana-5835	35	40	l	l	NOUN
cana-5835	35	41	is	be	AUX
cana-5835	35	42	the	the	DET
cana-5835	35	43	average	average	ADJ
cana-5835	35	44	distance	distance	NOUN
cana-5835	35	45	which	which	PRON
cana-5835	35	46	electrons	electron	NOUN
cana-5835	35	47	move	move	VERB
cana-5835	35	48	between	between	ADP
cana-5835	35	49	collisions	collision	NOUN
cana-5835	35	50	)	)	PUNCT
cana-5835	35	51	.	.	PUNCT
cana-5835	36	1	the	the	DET
cana-5835	36	2	implication	implication	NOUN
cana-5835	36	3	that	that	PRON
cana-5835	36	4	follows	follow	VERB
cana-5835	36	5	this	this	DET
cana-5835	36	6	assumption	assumption	NOUN
cana-5835	36	7	is	be	AUX
cana-5835	36	8	that	that	SCONJ
cana-5835	36	9	the	the	DET
cana-5835	36	10	sound	sound	ADJ
cana-5835	36	11	wavelength	wavelength	NOUN
cana-5835	36	12	is	be	AUX
cana-5835	36	13	very	very	ADV
cana-5835	36	14	long	long	ADJ
cana-5835	36	15	relative	relative	ADJ
cana-5835	36	16	to	to	ADP
cana-5835	36	17	the	the	DET
cana-5835	36	18	mean	mean	ADJ
cana-5835	36	19	free	free	ADJ
cana-5835	36	20	path	path	NOUN
cana-5835	36	21	of	of	ADP
cana-5835	36	22	the	the	DET
cana-5835	36	23	electrons	electron	NOUN
cana-5835	36	24	in	in	ADP
cana-5835	36	25	the	the	DET
cana-5835	36	26	structure	structure	NOUN
cana-5835	36	27	the	the	DET
cana-5835	36	28	carrier	carrier	NOUN
cana-5835	36	29	motion	motion	NOUN
cana-5835	36	30	dictated	dictate	VERB
cana-5835	36	31	with	with	ADP
cana-5835	36	32	the	the	DET
cana-5835	36	33	external	external	ADJ
cana-5835	36	34	fields	field	NOUN
cana-5835	36	35	will	will	AUX
cana-5835	36	36	smooth	smooth	VERB
cana-5835	36	37	out	out	ADP
cana-5835	36	38	.	.	PUNCT
cana-5835	37	1	it	it	PRON
cana-5835	37	2	also	also	ADV
cana-5835	37	3	empowers	empower	VERB
cana-5835	37	4	us	we	PRON
cana-5835	37	5	to	to	PART
cana-5835	37	6	disregard	disregard	VERB
cana-5835	37	7	high	high	ADJ
cana-5835	37	8	frequency	frequency	NOUN
cana-5835	37	9	electric	electric	ADJ
cana-5835	37	10	field	field	NOUN
cana-5835	37	11	non	non	ADJ
cana-5835	37	12	uniformity	uniformity	NOUN
cana-5835	37	13	in	in	ADP
cana-5835	37	14	dipole	dipole	NOUN
cana-5835	37	15	approximation	approximation	NOUN
cana-5835	37	16	[	[	X
cana-5835	37	17	14	14	NUM
cana-5835	37	18	]	]	PUNCT
cana-5835	37	19	.	.	PUNCT
cana-5835	38	1	to	to	PART
cana-5835	38	2	obtain	obtain	VERB
cana-5835	38	3	third	third	ADJ
cana-5835	38	4	order	order	NOUN
cana-5835	38	5	brillouin	brillouin	NOUN
cana-5835	38	6	susceptibility	susceptibility	NOUN
cana-5835	38	7	induced	induce	VERB
cana-5835	38	8	by	by	ADP
cana-5835	38	9	the	the	DET
cana-5835	38	10	induced	induced	ADJ
cana-5835	38	11	polarization	polarization	NOUN
cana-5835	38	12	and	and	CCONJ
cana-5835	38	13	electrostriction	electrostriction	NOUN
cana-5835	38	14	,	,	PUNCT
cana-5835	38	15	the	the	DET
cana-5835	38	16	incident	incident	NOUN
cana-5835	38	17	pump	pump	VERB
cana-5835	38	18	radiation	radiation	NOUN
cana-5835	38	19	𝐸0(𝑥	𝐸0(𝑥	PROPN
cana-5835	38	20	,	,	PUNCT
cana-5835	38	21	𝑡	𝑡	NOUN
cana-5835	38	22	)	)	PUNCT
cana-5835	38	23	=	=	SYM
cana-5835	38	24	�	�	PROPN
cana-5835	38	25	̂	̂	NOUN
cana-5835	38	26	�	�	NOUN
cana-5835	38	27	𝐸0exp⁡[𝑖(𝑘0𝑥	𝐸0exp⁡[𝑖(𝑘0𝑥	NOUN
cana-5835	38	28	−	−	NOUN
cana-5835	38	29	𝜔0𝑡	𝜔0𝑡	PROPN
cana-5835	38	30	)	)	PUNCT
cana-5835	38	31	]	]	PUNCT
cana-5835	38	32	is	be	AUX
cana-5835	38	33	expected	expect	VERB
cana-5835	38	34	to	to	PART
cana-5835	38	35	be	be	AUX
cana-5835	38	36	travelling	travel	VERB
cana-5835	38	37	along	along	ADP
cana-5835	38	38	x	x	NOUN
cana-5835	38	39	direction	direction	NOUN
cana-5835	38	40	and	and	CCONJ
cana-5835	38	41	is	be	AUX
cana-5835	38	42	polarized	polarize	VERB
cana-5835	38	43	along	along	ADP
cana-5835	38	44	z	z	NOUN
cana-5835	38	45	direction	direction	NOUN
cana-5835	38	46	.	.	PUNCT
cana-5835	39	1	the	the	DET
cana-5835	39	2	longitudinal	longitudinal	ADJ
cana-5835	39	3	polarized	polarize	VERB
cana-5835	39	4	acoustic	acoustic	ADJ
cana-5835	39	5	wave	wave	NOUN
cana-5835	39	6	�	�	NOUN
cana-5835	39	7	⃗	⃗	PROPN
cana-5835	39	8	�	�	PROPN
cana-5835	39	9	(	(	PUNCT
cana-5835	39	10	𝑥	𝑥	PROPN
cana-5835	39	11	,	,	PUNCT
cana-5835	39	12	𝑡	𝑡	NOUN
cana-5835	39	13	)	)	PUNCT
cana-5835	39	14	=	=	SYM
cana-5835	39	15	�	�	PROPN
cana-5835	39	16	⃗	⃗	NOUN
cana-5835	39	17	�	�	NOUN
cana-5835	39	18	0exp⁡[𝑖(𝑘𝑎𝑥	0exp⁡[𝑖(𝑘𝑎𝑥	NUM
cana-5835	39	19	−	−	PROPN
cana-5835	39	20	𝜔𝑎𝑡	𝜔𝑎𝑡	NOUN
cana-5835	39	21	)	)	PUNCT
cana-5835	39	22	]	]	PUNCT
cana-5835	39	23	is	be	AUX
cana-5835	39	24	also	also	ADV
cana-5835	39	25	assumed	assume	VERB
cana-5835	39	26	to	to	PART
cana-5835	39	27	be	be	AUX
cana-5835	39	28	travelling	travel	VERB
cana-5835	39	29	along	along	ADP
cana-5835	39	30	𝑥	𝑥	DET
cana-5835	39	31	direction	direction	NOUN
cana-5835	39	32	.	.	PUNCT
cana-5835	40	1	the	the	DET
cana-5835	40	2	brillouin	brillouin	NOUN
cana-5835	40	3	back	back	ADV
cana-5835	40	4	scattered	scatter	VERB
cana-5835	40	5	stoke	stoke	NOUN
cana-5835	40	6	wave	wave	NOUN
cana-5835	40	7	𝐸1(𝑥	𝐸1(𝑥	PROPN
cana-5835	40	8	,	,	PUNCT
cana-5835	40	9	𝑡	𝑡	NOUN
cana-5835	40	10	)	)	PUNCT
cana-5835	40	11	=	=	SYM
cana-5835	40	12	�	�	PROPN
cana-5835	40	13	̂	̂	NOUN
cana-5835	40	14	�	�	NOUN
cana-5835	40	15	𝐸1exp⁡[𝑖(−𝑘1𝑥	𝐸1exp⁡[𝑖(−𝑘1𝑥	NOUN
cana-5835	40	16	−	−	PROPN
cana-5835	40	17	𝜔1𝑡	𝜔1𝑡	PROPN
cana-5835	40	18	)	)	PUNCT
cana-5835	40	19	]	]	PUNCT
cana-5835	40	20	is	be	AUX
cana-5835	40	21	traveling	travel	VERB
cana-5835	40	22	in	in	ADP
cana-5835	40	23	-x	-x	NOUN
cana-5835	40	24	direction	direction	NOUN
cana-5835	40	25	and	and	CCONJ
cana-5835	40	26	is	be	AUX
cana-5835	40	27	polarized	polarize	VERB
cana-5835	40	28	along	along	ADP
cana-5835	40	29	z	z	NOUN
cana-5835	40	30	direction	direction	NOUN
cana-5835	40	31	.	.	PUNCT
cana-5835	41	1	so	so	ADV
cana-5835	41	2	that	that	SCONJ
cana-5835	41	3	sbs	sbs	NOUN
cana-5835	41	4	can	can	AUX
cana-5835	41	5	be	be	AUX
cana-5835	41	6	investigated	investigate	VERB
cana-5835	41	7	within	within	ADP
cana-5835	41	8	a	a	DET
cana-5835	41	9	medium	medium	NOUN
cana-5835	41	10	,	,	PUNCT
cana-5835	41	11	the	the	DET
cana-5835	41	12	phase	phase	NOUN
cana-5835	41	13	matching	matching	NOUN
cana-5835	41	14	criteria	criterion	NOUN
cana-5835	41	15	that	that	PRON
cana-5835	41	16	must	must	AUX
cana-5835	41	17	be	be	AUX
cana-5835	41	18	achieved	achieve	VERB
cana-5835	41	19	in	in	ADP
cana-5835	41	20	the	the	DET
cana-5835	41	21	present	present	ADJ
cana-5835	41	22	case	case	NOUN
cana-5835	41	23	are	be	AUX
cana-5835	41	24	:	:	PUNCT
cana-5835	41	25	ℏ𝜔0	ℏ𝜔0	PROPN
cana-5835	41	26	=	=	PUNCT
cana-5835	41	27	ℏ𝜔1	ℏ𝜔1	PROPN
cana-5835	41	28	+	+	PUNCT
cana-5835	41	29	ℏ𝜔𝑎	ℏ𝜔𝑎	NOUN
cana-5835	41	30	and	and	CCONJ
cana-5835	41	31	ℏ𝑘0	ℏ𝑘0	NOUN
cana-5835	41	32	=	=	SYM
cana-5835	42	1	ℏ𝑘1	ℏ𝑘1	NOUN
cana-5835	42	2	+	+	ADJ
cana-5835	42	3	ℏ𝑘𝑎.	ℏ𝑘𝑎.	NOUN
cana-5835	42	4	these	these	DET
cana-5835	42	5	conditions	condition	NOUN
cana-5835	42	6	provide	provide	VERB
cana-5835	42	7	𝜔1	𝜔1	ADJ
cana-5835	42	8	=	=	PUNCT
cana-5835	42	9	𝜔0	𝜔0	NOUN
cana-5835	42	10	−	−	PROPN
cana-5835	42	11	𝜔𝑎	𝜔𝑎	NOUN
cana-5835	43	1	and	and	CCONJ
cana-5835	43	2	𝑘𝑎	𝑘𝑎	NOUN
cana-5835	43	3	=	=	PROPN
cana-5835	43	4	2𝑘𝑠	2𝑘𝑠	NOUN
cana-5835	43	5	(	(	PUNCT
cana-5835	43	6	since	since	SCONJ
cana-5835	43	7	|𝑘0|	|𝑘0|	VERB
cana-5835	43	8	≈	≈	PROPN
cana-5835	43	9	|𝑘1|	|𝑘1|	NOUN
cana-5835	43	10	)	)	PUNCT
cana-5835	43	11	.	.	PUNCT
cana-5835	44	1	since	since	SCONJ
cana-5835	44	2	the	the	DET
cana-5835	44	3	crystal	crystal	NOUN
cana-5835	44	4	is	be	AUX
cana-5835	44	5	supposed	suppose	VERB
cana-5835	44	6	to	to	PART
cana-5835	44	7	be	be	AUX
cana-5835	44	8	centro	centro	NOUN
cana-5835	44	9	-	-	PUNCT
cana-5835	44	10	symmetric	symmetric	ADJ
cana-5835	44	11	,	,	PUNCT
cana-5835	44	12	the	the	DET
cana-5835	44	13	impact	impact	NOUN
cana-5835	44	14	of	of	ADP
cana-5835	44	15	any	any	DET
cana-5835	44	16	pseudo	pseudo	NOUN
cana-5835	44	17	-	-	NOUN
cana-5835	44	18	potential	potential	NOUN
cana-5835	44	19	can	can	AUX
cana-5835	44	20	be	be	AUX
cana-5835	44	21	ignored	ignore	VERB
cana-5835	44	22	in	in	ADP
cana-5835	44	23	order	order	NOUN
cana-5835	44	24	to	to	PART
cana-5835	44	25	simplify	simplify	VERB
cana-5835	44	26	the	the	DET
cana-5835	44	27	analysis	analysis	NOUN
cana-5835	44	28	.	.	PUNCT
cana-5835	45	1	in	in	ADP
cana-5835	45	2	these	these	DET
cana-5835	45	3	conditions	condition	NOUN
cana-5835	45	4	when	when	SCONJ
cana-5835	45	5	the	the	DET
cana-5835	45	6	density	density	NOUN
cana-5835	45	7	is	be	AUX
cana-5835	45	8	considerably	considerably	ADV
cana-5835	45	9	high	high	ADJ
cana-5835	45	10	and	and	CCONJ
cana-5835	45	11	the	the	DET
cana-5835	45	12	plasma	plasma	NOUN
cana-5835	45	13	cooled	cool	VERB
cana-5835	45	14	into	into	ADP
cana-5835	45	15	the	the	DET
cana-5835	45	16	quite	quite	ADV
cana-5835	45	17	low	low	ADJ
cana-5835	45	18	level	level	NOUN
cana-5835	45	19	of	of	ADP
cana-5835	45	20	temperature	temperature	NOUN
cana-5835	45	21	,	,	PUNCT
cana-5835	45	22	then	then	ADV
cana-5835	45	23	the	the	DET
cana-5835	45	24	ultracold	ultracold	PROPN
cana-5835	45	25	plasma	plasma	PROPN
cana-5835	45	26	will	will	AUX
cana-5835	45	27	serve	serve	VERB
cana-5835	45	28	as	as	ADP
cana-5835	45	29	the	the	DET
cana-5835	45	30	degenerate	degenerate	ADJ
cana-5835	45	31	fermion	fermion	NOUN
cana-5835	45	32	gas	gas	NOUN
cana-5835	45	33	and	and	CCONJ
cana-5835	45	34	the	the	DET
cana-5835	45	35	quantum	quantum	ADJ
cana-5835	45	36	effects	effect	NOUN
cana-5835	45	37	will	will	AUX
cana-5835	45	38	be	be	AUX
cana-5835	45	39	rather	rather	ADV
cana-5835	45	40	significant	significant	ADJ
cana-5835	45	41	in	in	ADP
cana-5835	45	42	dynamics	dynamic	NOUN
cana-5835	45	43	of	of	ADP
cana-5835	45	44	the	the	DET
cana-5835	45	45	charged	charge	VERB
cana-5835	45	46	particles	particle	NOUN
cana-5835	45	47	[	[	X
cana-5835	45	48	15	15	NUM
cana-5835	45	49	]	]	PUNCT
cana-5835	45	50	.	.	PUNCT
cana-5835	46	1	for	for	ADP
cana-5835	46	2	the	the	DET
cana-5835	46	3	appreciation	appreciation	NOUN
cana-5835	46	4	of	of	ADP
cana-5835	46	5	the	the	DET
cana-5835	46	6	above	above	ADJ
cana-5835	46	7	fact	fact	NOUN
cana-5835	46	8	for	for	ADP
cana-5835	46	9	this	this	DET
cana-5835	46	10	problem	problem	NOUN
cana-5835	46	11	let	let	VERB
cana-5835	46	12	us	we	PRON
cana-5835	46	13	calculate	calculate	VERB
cana-5835	46	14	the	the	DET
cana-5835	46	15	tf	tf	NOUN
cana-5835	46	16	in	in	ADP
cana-5835	46	17	terms	term	NOUN
cana-5835	46	18	of	of	ADP
cana-5835	46	19	carrier	carrier	NOUN
cana-5835	46	20	density	density	NOUN
cana-5835	46	21	(	(	PUNCT
cana-5835	46	22	𝑛0	𝑛0	VERB
cana-5835	46	23	=	=	NOUN
cana-5835	46	24	communications	communication	NOUN
cana-5835	46	25	on	on	ADP
cana-5835	46	26	applied	apply	VERB
cana-5835	46	27	nonlinear	nonlinear	ADJ
cana-5835	46	28	analysis	analysis	NOUN
cana-5835	46	29	issn	issn	NOUN
cana-5835	46	30	:	:	PUNCT
cana-5835	46	31	1074	1074	NUM
cana-5835	46	32	-	-	PUNCT
cana-5835	46	33	133x	133x	NUM
cana-5835	46	34	vol	vol	NOUN
cana-5835	46	35	32	32	NUM
cana-5835	46	36	no	no	NOUN
cana-5835	46	37	.	.	NOUN
cana-5835	46	38	1	1	NUM
cana-5835	46	39	(	(	PUNCT
cana-5835	46	40	2025	2025	NUM
cana-5835	46	41	)	)	PUNCT
cana-5835	47	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-5835	47	2	568	568	NUM
cana-5835	47	3	3	3	NUM
cana-5835	47	4	×	×	NOUN
cana-5835	47	5	1024𝑚−3	1024𝑚−3	NUM
cana-5835	47	6	)	)	PUNCT
cana-5835	47	7	through	through	ADP
cana-5835	47	8	standard	standard	ADJ
cana-5835	47	9	formula	formula	NOUN
cana-5835	47	10	.	.	PUNCT
cana-5835	48	1	it	it	PRON
cana-5835	48	2	comes	come	VERB
cana-5835	48	3	out	out	ADP
cana-5835	48	4	to	to	ADP
cana-5835	48	5	for	for	ADP
cana-5835	48	6	insb	insb	NOUN
cana-5835	48	7	.	.	PUNCT
cana-5835	49	1	we	we	PRON
cana-5835	49	2	have	have	AUX
cana-5835	49	3	considered	consider	VERB
cana-5835	49	4	the	the	DET
cana-5835	49	5	lattice	lattice	NOUN
cana-5835	49	6	temperature	temperature	NOUN
cana-5835	49	7	as	as	ADP
cana-5835	49	8	77	77	NUM
cana-5835	49	9	k	k	NOUN
cana-5835	49	10	,	,	PUNCT
cana-5835	49	11	hence	hence	ADV
cana-5835	49	12	here	here	ADV
cana-5835	49	13	t<<tf	t<<tf	PROPN
cana-5835	49	14	(	(	PUNCT
cana-5835	49	15	6.27	6.27	NUM
cana-5835	49	16	×	×	NOUN
cana-5835	49	17	103𝐾	103𝐾	NUM
cana-5835	49	18	)	)	PUNCT
cana-5835	49	19	which	which	PRON
cana-5835	49	20	defines	define	VERB
cana-5835	49	21	a	a	DET
cana-5835	49	22	fully	fully	ADV
cana-5835	49	23	degenerate	degenerate	ADJ
cana-5835	49	24	quantum	quantum	NOUN
cana-5835	49	25	regime	regime	NOUN
cana-5835	49	26	.	.	PUNCT
cana-5835	50	1	to	to	PART
cana-5835	50	2	make	make	VERB
cana-5835	50	3	the	the	DET
cana-5835	50	4	discussions	discussion	NOUN
cana-5835	50	5	definite	definite	ADJ
cana-5835	50	6	we	we	PRON
cana-5835	50	7	suppose	suppose	VERB
cana-5835	50	8	that	that	SCONJ
cana-5835	50	9	the	the	DET
cana-5835	50	10	pressure	pressure	NOUN
cana-5835	50	11	law	law	NOUN
cana-5835	50	12	in	in	ADP
cana-5835	50	13	one	one	NUM
cana-5835	50	14	dimensional	dimensional	ADJ
cana-5835	50	15	fermi	fermi	NOUN
cana-5835	50	16	gas	gas	NOUN
cana-5835	50	17	is	be	AUX
cana-5835	50	18	satisfied	satisfy	VERB
cana-5835	50	19	by	by	ADP
cana-5835	50	20	the	the	DET
cana-5835	50	21	plasma	plasma	NOUN
cana-5835	50	22	particles	particle	NOUN
cana-5835	51	1	[	[	X
cana-5835	51	2	16	16	NUM
cana-5835	51	3	]	]	X
cana-5835	51	4	𝑷	𝑷	PROPN
cana-5835	51	5	=	=	PUNCT
cana-5835	52	1	𝒎𝑽𝑭𝜶	𝒎𝑽𝑭𝜶	NOUN
cana-5835	52	2	𝟐𝒏𝟏𝜶	𝟐𝒏𝟏𝜶	NOUN
cana-5835	52	3	𝟓/𝟑	𝟓/𝟑	NUM
cana-5835	52	4	𝟓𝒏𝟎𝜶	𝟓𝒏𝟎𝜶	NOUN
cana-5835	52	5	𝟐/𝟑	𝟐/𝟑	PRON
cana-5835	52	6	(	(	PUNCT
cana-5835	52	7	1	1	NUM
cana-5835	52	8	)	)	PUNCT
cana-5835	52	9	where	where	SCONJ
cana-5835	52	10	p	p	NOUN
cana-5835	52	11	stands	stand	VERB
cana-5835	52	12	for	for	ADP
cana-5835	52	13	fermi	fermi	NOUN
cana-5835	52	14	pressure	pressure	NOUN
cana-5835	52	15	with	with	ADP
cana-5835	52	16	𝑉𝐹𝛼𝑗	𝑉𝐹𝛼𝑗	PROPN
cana-5835	52	17	=	=	PROPN
cana-5835	53	1	√𝜉3𝐷ℏ(𝑛0𝛼⁡1/3)/𝑚	√𝜉3𝐷ℏ(𝑛0𝛼⁡1/3)/𝑚	PROPN
cana-5835	53	2	is	be	AUX
cana-5835	53	3	the	the	DET
cana-5835	53	4	fermi	fermi	NOUN
cana-5835	53	5	velocity	velocity	NOUN
cana-5835	53	6	.	.	PUNCT
cana-5835	54	1	𝜉3𝐷	𝜉3𝐷	PROPN
cana-5835	54	2	is	be	AUX
cana-5835	54	3	degree	degree	NOUN
cana-5835	54	4	of	of	ADP
cana-5835	54	5	spin	spin	NOUN
cana-5835	54	6	polarization	polarization	NOUN
cana-5835	54	7	given	give	VERB
cana-5835	54	8	by	by	ADP
cana-5835	54	9	𝜉3𝐷	𝜉3𝐷	NOUN
cana-5835	55	1	=	=	PUNCT
cana-5835	56	1	[	[	X
cana-5835	56	2	(	(	PUNCT
cana-5835	56	3	1	1	NUM
cana-5835	56	4	−	−	NUM
cana-5835	56	5	𝜂)5/3	𝜂)5/3	X
cana-5835	57	1	+	+	CCONJ
cana-5835	57	2	(	(	PUNCT
cana-5835	57	3	1	1	NUM
cana-5835	57	4	+	+	CCONJ
cana-5835	57	5	𝜂)5/3]/2	𝜂)5/3]/2	NOUN
cana-5835	57	6	with	with	ADP
cana-5835	57	7	spin	spin	NOUN
cana-5835	57	8	polarization	polarization	NOUN
cana-5835	57	9	(	(	PUNCT
cana-5835	57	10	𝜂	𝜂	NOUN
cana-5835	57	11	)	)	PUNCT
cana-5835	57	12	defined	define	VERB
cana-5835	57	13	by	by	ADP
cana-5835	57	14	𝜂	𝜂	NOUN
cana-5835	57	15	=	=	SYM
cana-5835	57	16	|𝑛↑	|𝑛↑	PROPN
cana-5835	57	17	−	−	PROPN
cana-5835	57	18	𝑛↓|/𝑛↑	𝑛↓|/𝑛↑	PROPN
cana-5835	57	19	+	+	SYM
cana-5835	57	20	𝑛↓	𝑛↓	X
cana-5835	57	21	,	,	PUNCT
cana-5835	57	22	↑	↑	PROPN
cana-5835	57	23	and	and	CCONJ
cana-5835	57	24	↓	↓	NOUN
cana-5835	57	25	denotes	denote	VERB
cana-5835	57	26	the	the	DET
cana-5835	57	27	electrons	electron	NOUN
cana-5835	57	28	in	in	ADP
cana-5835	57	29	the	the	DET
cana-5835	57	30	spin	spin	NOUN
cana-5835	57	31	up	up	ADP
cana-5835	57	32	and	and	CCONJ
cana-5835	57	33	spin	spin	VERB
cana-5835	57	34	down	down	ADP
cana-5835	57	35	states	state	NOUN
cana-5835	57	36	correspondingly	correspondingly	ADV
cana-5835	57	37	[	[	X
cana-5835	57	38	17	17	NUM
cana-5835	57	39	]	]	PUNCT
cana-5835	57	40	.	.	PUNCT
cana-5835	58	1	the	the	DET
cana-5835	58	2	quantum	quantum	ADJ
cana-5835	58	3	force	force	NOUN
cana-5835	58	4	𝐹𝑄	𝐹𝑄	PROPN
cana-5835	58	5	on	on	ADP
cana-5835	58	6	an	an	DET
cana-5835	58	7	electron	electron	NOUN
cana-5835	58	8	in	in	ADP
cana-5835	58	9	eq	eq	ADP
cana-5835	58	10	.	.	PUNCT
cana-5835	59	1	(	(	PUNCT
cana-5835	59	2	1	1	X
cana-5835	59	3	)	)	PUNCT
cana-5835	59	4	includes	include	VERB
cana-5835	59	5	two	two	NUM
cana-5835	59	6	terms	term	NOUN
cana-5835	59	7	.	.	PUNCT
cana-5835	60	1	the	the	DET
cana-5835	60	2	first	first	ADJ
cana-5835	60	3	term	term	NOUN
cana-5835	60	4	is	be	AUX
cana-5835	60	5	the	the	DET
cana-5835	60	6	bohm	bohm	PROPN
cana-5835	60	7	potential	potential	NOUN
cana-5835	60	8	of	of	ADP
cana-5835	60	9	quantum	quantum	ADJ
cana-5835	60	10	diffusion	diffusion	NOUN
cana-5835	60	11	of	of	ADP
cana-5835	60	12	electrons	electron	NOUN
cana-5835	60	13	,	,	PUNCT
cana-5835	60	14	and	and	CCONJ
cana-5835	60	15	the	the	DET
cana-5835	60	16	other	other	ADJ
cana-5835	60	17	one	one	NOUN
cana-5835	60	18	is	be	AUX
cana-5835	60	19	the	the	DET
cana-5835	60	20	energy	energy	NOUN
cana-5835	60	21	of	of	ADP
cana-5835	60	22	spin	spin	NOUN
cana-5835	60	23	magnetization	magnetization	NOUN
cana-5835	60	24	due	due	ADP
cana-5835	60	25	to	to	PART
cana-5835	60	26	spin	spin	VERB
cana-5835	60	27	interaction	interaction	NOUN
cana-5835	60	28	with	with	ADP
cana-5835	60	29	magnetic	magnetic	ADJ
cana-5835	60	30	field	field	NOUN
cana-5835	60	31	.	.	PUNCT
cana-5835	61	1	here	here	ADV
cana-5835	61	2	𝑆𝛼	𝑆𝛼	PROPN
cana-5835	61	3	is	be	AUX
cana-5835	61	4	the	the	DET
cana-5835	61	5	spin	spin	NOUN
cana-5835	61	6	of	of	ADP
cana-5835	61	7	species	specie	NOUN
cana-5835	61	8	𝛼	𝛼	PROPN
cana-5835	61	9	,	,	PUNCT
cana-5835	61	10	𝛼	𝛼	PROPN
cana-5835	61	11	=	=	NOUN
cana-5835	61	12	↑	↑	X
cana-5835	61	13	𝑎𝑛𝑑	𝑎𝑛𝑑	PROPN
cana-5835	61	14	↓	↓	PROPN
cana-5835	61	15	denotes	denote	VERB
cana-5835	61	16	the	the	DET
cana-5835	61	17	electrons	electron	NOUN
cana-5835	61	18	in	in	ADP
cana-5835	61	19	the	the	DET
cana-5835	61	20	spin	spin	NOUN
cana-5835	61	21	up	up	ADP
cana-5835	61	22	and	and	CCONJ
cana-5835	61	23	spin	spin	VERB
cana-5835	61	24	down	down	ADP
cana-5835	61	25	states	state	NOUN
cana-5835	61	26	correspondingly	correspondingly	ADV
cana-5835	61	27	.	.	PUNCT
cana-5835	62	1	𝑛1𝛼	𝑛1𝛼	PROPN
cana-5835	62	2	is	be	AUX
cana-5835	62	3	the	the	DET
cana-5835	62	4	perturb	perturb	NOUN
cana-5835	62	5	number	number	NOUN
cana-5835	62	6	density	density	NOUN
cana-5835	62	7	of	of	ADP
cana-5835	62	8	species	specie	NOUN
cana-5835	62	9	𝛼.	𝛼.	NOUN
cana-5835	63	1	it	it	PRON
cana-5835	63	2	is	be	AUX
cana-5835	63	3	an	an	DET
cana-5835	63	4	established	establish	VERB
cana-5835	63	5	fact	fact	NOUN
cana-5835	63	6	that	that	SCONJ
cana-5835	63	7	the	the	DET
cana-5835	63	8	quantum	quantum	ADJ
cana-5835	63	9	effects	effect	NOUN
cana-5835	63	10	have	have	AUX
cana-5835	63	11	no	no	DET
cana-5835	63	12	impacts	impact	NOUN
cana-5835	63	13	on	on	ADP
cana-5835	63	14	the	the	DET
cana-5835	63	15	transverse	transverse	NOUN
cana-5835	63	16	electromagnetic	electromagnetic	ADJ
cana-5835	63	17	wave	wave	NOUN
cana-5835	63	18	which	which	PRON
cana-5835	63	19	is	be	AUX
cana-5835	63	20	linearly	linearly	ADV
cana-5835	63	21	polarized	polarize	VERB
cana-5835	63	22	.	.	PUNCT
cana-5835	64	1	according	accord	VERB
cana-5835	64	2	to	to	ADP
cana-5835	64	3	guha	guha	PROPN
cana-5835	64	4	et	et	PROPN
cana-5835	64	5	al	al	PROPN
cana-5835	64	6	.	.	PUNCT
cana-5835	65	1	[	[	X
cana-5835	65	2	18	18	NUM
cana-5835	65	3	]	]	PUNCT
cana-5835	65	4	and	and	CCONJ
cana-5835	65	5	manfredi	manfredi	PROPN
cana-5835	66	1	[	[	X
cana-5835	66	2	19	19	NUM
cana-5835	66	3	]	]	PUNCT
cana-5835	66	4	,	,	PUNCT
cana-5835	66	5	the	the	DET
cana-5835	66	6	other	other	ADJ
cana-5835	66	7	fundamental	fundamental	ADJ
cana-5835	66	8	equations	equation	NOUN
cana-5835	66	9	that	that	PRON
cana-5835	66	10	are	be	AUX
cana-5835	66	11	used	use	VERB
cana-5835	66	12	are	be	AUX
cana-5835	66	13	𝜕2𝑢	𝜕2𝑢	PROPN
cana-5835	66	14	𝜕𝑡2	𝜕𝑡2	NOUN
cana-5835	66	15	−	−	PROPN
cana-5835	66	16	𝐶	𝐶	PROPN
cana-5835	66	17	𝜌	𝜌	ADP
cana-5835	66	18	𝜕2𝑢	𝜕2𝑢	PROPN
cana-5835	66	19	𝜕𝑥2	𝜕𝑥2	NOUN
cana-5835	66	20	+	+	PROPN
cana-5835	67	1	2𝛤𝑎	2𝛤𝑎	NUM
cana-5835	67	2	𝜕𝑢	𝜕𝑢	NOUN
cana-5835	67	3	𝜕𝑡	𝜕𝑡	NOUN
cana-5835	67	4	=	=	SYM
cana-5835	67	5	𝛾	𝛾	PROPN
cana-5835	67	6	2𝜌	2𝜌	NUM
cana-5835	67	7	𝜕	𝜕	NOUN
cana-5835	67	8	𝜕𝑥	𝜕𝑥	X
cana-5835	67	9	(	(	PUNCT
cana-5835	67	10	𝐸0𝐸1𝑥	𝐸0𝐸1𝑥	NUM
cana-5835	67	11	∗	∗	NOUN
cana-5835	67	12	)	)	PUNCT
cana-5835	67	13	(	(	PUNCT
cana-5835	67	14	2	2	X
cana-5835	67	15	)	)	PUNCT
cana-5835	67	16	𝜕𝜐0	𝜕𝜐0	ADV
cana-5835	67	17	𝜕𝑡	𝜕𝑡	PROPN
cana-5835	67	18	+	+	CCONJ
cana-5835	67	19	𝜈𝜐0	𝜈𝜐0	ADJ
cana-5835	67	20	=	=	NOUN
cana-5835	67	21	𝑒	𝑒	PROPN
cana-5835	67	22	𝑚	𝑚	PRON
cana-5835	67	23	𝐸0	𝐸0	ADJ
cana-5835	67	24	(	(	PUNCT
cana-5835	67	25	3	3	NUM
cana-5835	67	26	)	)	PUNCT
cana-5835	67	27	𝜕𝜐1	𝜕𝜐1	NOUN
cana-5835	67	28	𝜕𝑡	𝜕𝑡	NOUN
cana-5835	67	29	+	+	NUM
cana-5835	67	30	𝜈𝜐1	𝜈𝜐1	NOUN
cana-5835	67	31	+	+	CCONJ
cana-5835	67	32	𝜐1	𝜐1	NOUN
cana-5835	67	33	(	(	PUNCT
cana-5835	67	34	𝜐0	𝜐0	NOUN
cana-5835	67	35	𝜕	𝜕	NOUN
cana-5835	67	36	𝜕𝑥	𝜕𝑥	NOUN
cana-5835	67	37	)	)	PUNCT
cana-5835	68	1	=	=	PUNCT
cana-5835	68	2	−	−	PROPN
cana-5835	68	3	𝑒	𝑒	PROPN
cana-5835	68	4	𝑚	𝑚	NOUN
cana-5835	68	5	(	(	PUNCT
cana-5835	68	6	𝐸1	𝐸1	NOUN
cana-5835	68	7	+	+	CCONJ
cana-5835	68	8	𝜐1	𝜐1	NOUN
cana-5835	68	9	×	×	PROPN
cana-5835	68	10	𝐵1	𝐵1	NOUN
cana-5835	68	11	)	)	PUNCT
cana-5835	68	12	−	−	PROPN
cana-5835	69	1	1	1	NUM
cana-5835	69	2	𝑚𝑛0	𝑚𝑛0	NUM
cana-5835	69	3	𝜕𝑃	𝜕𝑃	X
cana-5835	69	4	𝜕𝑥	𝜕𝑥	X
cana-5835	69	5	+	+	CCONJ
cana-5835	69	6	𝐹𝑄	𝐹𝑄	PROPN
cana-5835	69	7	(	(	PUNCT
cana-5835	69	8	4	4	NUM
cana-5835	69	9	)	)	PUNCT
cana-5835	69	10	where	where	SCONJ
cana-5835	69	11	,	,	PUNCT
cana-5835	69	12	⁡⁡⁡𝐹𝑄	⁡⁡⁡𝐹𝑄	ADV
cana-5835	69	13	=	=	SYM
cana-5835	69	14	2𝜇𝐵	2𝜇𝐵	NUM
cana-5835	69	15	ℏ𝑚	ℏ𝑚	AUX
cana-5835	69	16	𝛻(𝐵1	𝛻(𝐵1	ADJ
cana-5835	69	17	.	.	PUNCT
cana-5835	70	1	𝑆𝛼	𝑆𝛼	PROPN
cana-5835	70	2	)	)	PUNCT
cana-5835	71	1	+	+	CCONJ
cana-5835	71	2	ℏ𝟐	ℏ𝟐	PROPN
cana-5835	71	3	4𝑚2𝑛	4𝑚2𝑛	ADJ
cana-5835	71	4	𝜕3𝑛1	𝜕3𝑛1	ADJ
cana-5835	71	5	𝜕𝑥3	𝜕𝑥3	ADJ
cana-5835	71	6	𝜐0	𝜐0	NOUN
cana-5835	71	7	𝜕𝑛1	𝜕𝑛1	NOUN
cana-5835	71	8	𝜕𝑥	𝜕𝑥	X
cana-5835	71	9	+	+	CCONJ
cana-5835	71	10	𝑛0	𝑛0	VERB
cana-5835	71	11	𝜕𝜐1	𝜕𝜐1	NOUN
cana-5835	71	12	𝜕𝑥	𝜕𝑥	NOUN
cana-5835	71	13	+	+	CCONJ
cana-5835	71	14	𝜕𝑛1	𝜕𝑛1	NOUN
cana-5835	71	15	𝜕𝑡	𝜕𝑡	NOUN
cana-5835	71	16	=	=	NOUN
cana-5835	71	17	⁡0	⁡0	NOUN
cana-5835	71	18	(	(	PUNCT
cana-5835	71	19	5	5	NUM
cana-5835	71	20	)	)	PUNCT
cana-5835	71	21	𝑃𝑒𝑠	𝑃𝑒𝑠	PROPN
cana-5835	71	22	=	=	SYM
cana-5835	71	23	−𝛾𝐸0	−𝛾𝐸0	PROPN
cana-5835	71	24	𝜕𝑢∗	𝜕𝑢∗	NOUN
cana-5835	71	25	𝜕𝑥	𝜕𝑥	X
cana-5835	71	26	(	(	PUNCT
cana-5835	71	27	6	6	NUM
cana-5835	71	28	)	)	PUNCT
cana-5835	71	29	𝜕𝐸1	𝜕𝐸1	ADJ
cana-5835	71	30	𝜕𝑥	𝜕𝑥	X
cana-5835	71	31	=	=	SYM
cana-5835	72	1	𝑛1𝑒	𝑛1𝑒	NOUN
cana-5835	72	2	+	+	NUM
cana-5835	72	3	𝛾	𝛾	NOUN
cana-5835	72	4	𝐸0	𝐸0	ADJ
cana-5835	72	5	𝜕𝑢∗	𝜕𝑢∗	NOUN
cana-5835	72	6	𝜕𝑥	𝜕𝑥	X
cana-5835	72	7	(	(	PUNCT
cana-5835	72	8	7	7	X
cana-5835	72	9	)	)	PUNCT
cana-5835	72	10	the	the	DET
cana-5835	72	11	quantum	quantum	ADJ
cana-5835	72	12	force	force	NOUN
cana-5835	72	13	𝐹𝑄	𝐹𝑄	PROPN
cana-5835	72	14	of	of	ADP
cana-5835	72	15	an	an	DET
cana-5835	72	16	electron	electron	NOUN
cana-5835	72	17	in	in	ADP
cana-5835	72	18	eq	eq	ADP
cana-5835	72	19	.	.	PUNCT
cana-5835	72	20	(	(	PUNCT
cana-5835	72	21	4	4	X
cana-5835	72	22	)	)	PUNCT
cana-5835	72	23	includes	include	VERB
cana-5835	72	24	two	two	NUM
cana-5835	72	25	terms	term	NOUN
cana-5835	72	26	:	:	PUNCT
cana-5835	72	27	the	the	DET
cana-5835	72	28	former	former	ADJ
cana-5835	72	29	one	one	NOUN
cana-5835	72	30	is	be	AUX
cana-5835	72	31	the	the	DET
cana-5835	72	32	bohm	bohm	PROPN
cana-5835	72	33	potential	potential	NOUN
cana-5835	72	34	as	as	ADP
cana-5835	72	35	the	the	DET
cana-5835	72	36	energy	energy	NOUN
cana-5835	72	37	that	that	PRON
cana-5835	72	38	causes	cause	VERB
cana-5835	72	39	the	the	DET
cana-5835	72	40	quantum	quantum	NOUN
cana-5835	72	41	diffusion	diffusion	NOUN
cana-5835	72	42	of	of	ADP
cana-5835	72	43	the	the	DET
cana-5835	72	44	electrons	electron	NOUN
cana-5835	72	45	and	and	CCONJ
cana-5835	72	46	the	the	DET
cana-5835	72	47	energy	energy	NOUN
cana-5835	72	48	of	of	ADP
cana-5835	72	49	the	the	DET
cana-5835	72	50	spin	spin	NOUN
cana-5835	72	51	magnetization	magnetization	NOUN
cana-5835	72	52	as	as	ADP
cana-5835	72	53	the	the	DET
cana-5835	72	54	outcome	outcome	NOUN
cana-5835	72	55	of	of	ADP
cana-5835	72	56	the	the	DET
cana-5835	72	57	energy	energy	NOUN
cana-5835	72	58	of	of	ADP
cana-5835	72	59	spin	spin	NOUN
cana-5835	72	60	magnetization	magnetization	NOUN
cana-5835	72	61	due	due	ADP
cana-5835	72	62	to	to	PART
cana-5835	72	63	spin	spin	VERB
cana-5835	72	64	interaction	interaction	NOUN
cana-5835	72	65	with	with	ADP
cana-5835	72	66	magnetic	magnetic	ADJ
cana-5835	72	67	field	field	NOUN
cana-5835	72	68	.	.	PUNCT
cana-5835	73	1	here	here	ADV
cana-5835	73	2	𝑆𝛼	𝑆𝛼	PROPN
cana-5835	73	3	is	be	AUX
cana-5835	73	4	the	the	DET
cana-5835	73	5	spin	spin	NOUN
cana-5835	73	6	of	of	ADP
cana-5835	73	7	species	specie	NOUN
cana-5835	73	8	𝛼	𝛼	PROPN
cana-5835	73	9	,	,	PUNCT
cana-5835	73	10	𝛼	𝛼	PROPN
cana-5835	73	11	=	=	NOUN
cana-5835	73	12	↑	↑	X
cana-5835	73	13	𝑎𝑛𝑑	𝑎𝑛𝑑	PROPN
cana-5835	73	14	↓	↓	PROPN
cana-5835	73	15	denotes	denote	VERB
cana-5835	73	16	the	the	DET
cana-5835	73	17	spin	spin	NOUN
cana-5835	73	18	up	up	ADP
cana-5835	73	19	and	and	CCONJ
cana-5835	73	20	the	the	DET
cana-5835	73	21	spin	spin	NOUN
cana-5835	73	22	down	down	ADP
cana-5835	73	23	electrons	electron	NOUN
cana-5835	73	24	respectively	respectively	ADV
cana-5835	73	25	with	with	ADP
cana-5835	73	26	𝜇	𝜇	ADP
cana-5835	73	27	=	=	NOUN
cana-5835	73	28	−	−	PROPN
cana-5835	73	29	𝑔𝜇𝐵	𝑔𝜇𝐵	PROPN
cana-5835	73	30	2	2	NUM
cana-5835	73	31	,	,	PUNCT
cana-5835	73	32	𝜇𝐵	𝜇𝐵	NOUN
cana-5835	73	33	=	=	SYM
cana-5835	73	34	𝑒ℏ	𝑒ℏ	ADP
cana-5835	73	35	2𝑚	2𝑚	NOUN
cana-5835	73	36	,	,	PUNCT
cana-5835	73	37	𝑔	𝑔	PROPN
cana-5835	73	38	=	=	SYM
cana-5835	73	39	2.0023192	2.0023192	NUM
cana-5835	73	40	is	be	AUX
cana-5835	73	41	the	the	DET
cana-5835	73	42	electron	electron	NOUN
cana-5835	73	43	𝑔	𝑔	PROPN
cana-5835	73	44	factor	factor	NOUN
cana-5835	73	45	,	,	PUNCT
cana-5835	73	46	𝑛1𝛼	𝑛1𝛼	VERB
cana-5835	73	47	is	be	AUX
cana-5835	73	48	the	the	DET
cana-5835	73	49	perturb	perturb	NOUN
cana-5835	73	50	number	number	NOUN
cana-5835	73	51	density	density	NOUN
cana-5835	73	52	of	of	ADP
cana-5835	73	53	species	specie	NOUN
cana-5835	73	54	𝛼.	𝛼.	ADP
cana-5835	73	55	the	the	DET
cana-5835	73	56	quantum	quantum	NOUN
cana-5835	73	57	effects	effect	NOUN
cana-5835	73	58	are	be	AUX
cana-5835	73	59	unsurprisingly	unsurprisingly	ADV
cana-5835	73	60	known	know	VERB
cana-5835	73	61	to	to	PART
cana-5835	73	62	possess	possess	VERB
cana-5835	73	63	no	no	DET
cana-5835	73	64	effects	effect	NOUN
cana-5835	73	65	on	on	ADP
cana-5835	73	66	the	the	DET
cana-5835	73	67	transverse	transverse	NOUN
cana-5835	73	68	electromagnetic	electromagnetic	NOUN
cana-5835	73	69	linearly	linearly	ADV
cana-5835	73	70	polarised	polarise	VERB
cana-5835	73	71	wave	wave	NOUN
cana-5835	73	72	.	.	PUNCT
cana-5835	74	1	the	the	DET
cana-5835	74	2	term	term	NOUN
cana-5835	74	3	proportional	proportional	ADJ
cana-5835	74	4	to	to	ADP
cana-5835	74	5	ℏ2	ℏ2	NOUN
cana-5835	74	6	in	in	ADP
cana-5835	74	7	eq	eq	ADP
cana-5835	74	8	.	.	PUNCT
cana-5835	74	9	(	(	PUNCT
cana-5835	74	10	4	4	NUM
cana-5835	74	11	)	)	PUNCT
cana-5835	74	12	,	,	PUNCT
cana-5835	74	13	accounts	account	VERB
cana-5835	74	14	the	the	DET
cana-5835	74	15	quantum	quantum	ADJ
cana-5835	74	16	diffraction	diffraction	NOUN
cana-5835	74	17	represented	represent	VERB
cana-5835	74	18	by	by	ADP
cana-5835	74	19	the	the	DET
cana-5835	74	20	planck	planck	NOUN
cana-5835	74	21	’s	’s	PART
cana-5835	74	22	constant	constant	ADJ
cana-5835	74	23	where	where	SCONJ
cana-5835	74	24	ℏ	ℏ	PROPN
cana-5835	74	25	is	be	AUX
cana-5835	74	26	the	the	DET
cana-5835	74	27	planck	planck	NOUN
cana-5835	74	28	’s	’s	PART
cana-5835	74	29	constant	constant	ADJ
cana-5835	74	30	divided	divide	VERB
cana-5835	74	31	by	by	ADP
cana-5835	74	32	the	the	DET
cana-5835	74	33	2𝜋.	2𝜋.	NUM
cana-5835	74	34	the	the	DET
cana-5835	74	35	role	role	NOUN
cana-5835	74	36	of	of	ADP
cana-5835	74	37	this	this	DET
cana-5835	74	38	term	term	NOUN
cana-5835	74	39	can	can	AUX
cana-5835	74	40	also	also	ADV
cana-5835	74	41	be	be	AUX
cana-5835	74	42	perceived	perceive	VERB
cana-5835	74	43	in	in	ADP
cana-5835	74	44	the	the	DET
cana-5835	74	45	other	other	ADJ
cana-5835	74	46	way	way	NOUN
cana-5835	74	47	round	round	ADV
cana-5835	74	48	;	;	PUNCT
cana-5835	74	49	that	that	SCONJ
cana-5835	74	50	they	they	PRON
cana-5835	74	51	can	can	AUX
cana-5835	74	52	also	also	ADV
cana-5835	74	53	be	be	AUX
cana-5835	74	54	described	describe	VERB
cana-5835	74	55	as	as	ADP
cana-5835	74	56	the	the	DET
cana-5835	74	57	quantum	quantum	NOUN
cana-5835	74	58	pressure	pressure	NOUN
cana-5835	74	59	term	term	NOUN
cana-5835	74	60	or	or	CCONJ
cana-5835	74	61	as	as	ADP
cana-5835	74	62	the	the	DET
cana-5835	74	63	quantum	quantum	PROPN
cana-5835	74	64	bohm	bohm	PROPN
cana-5835	74	65	potential	potential	NOUN
cana-5835	74	66	[	[	X
cana-5835	74	67	20	20	NUM
cana-5835	74	68	]	]	PUNCT
cana-5835	74	69	.	.	PUNCT
cana-5835	75	1	in	in	ADP
cana-5835	75	2	the	the	DET
cana-5835	75	3	other	other	ADJ
cana-5835	75	4	applications	application	NOUN
cana-5835	75	5	to	to	ADP
cana-5835	75	6	semiconductor	semiconductor	NOUN
cana-5835	75	7	physics	physics	NOUN
cana-5835	75	8	,	,	PUNCT
cana-5835	75	9	the	the	DET
cana-5835	75	10	bohm	bohm	PROPN
cana-5835	75	11	potential	potential	NOUN
cana-5835	75	12	leads	lead	VERB
cana-5835	75	13	to	to	ADP
cana-5835	75	14	tunnelling	tunnelling	NOUN
cana-5835	75	15	and	and	CCONJ
cana-5835	75	16	contributions	contribution	NOUN
cana-5835	75	17	to	to	ADP
cana-5835	75	18	differential	differential	ADJ
cana-5835	75	19	resistances	resistance	NOUN
cana-5835	75	20	[	[	X
cana-5835	75	21	21	21	NUM
cana-5835	75	22	]	]	PUNCT
cana-5835	75	23	.	.	PUNCT
cana-5835	76	1	the	the	DET
cana-5835	76	2	model	model	NOUN
cana-5835	76	3	has	have	AUX
cana-5835	76	4	incorporated	incorporate	VERB
cana-5835	76	5	quantum	quantum	ADJ
cana-5835	76	6	statistics	statistic	NOUN
cana-5835	76	7	,	,	PUNCT
cana-5835	76	8	and	and	CCONJ
cana-5835	76	9	it	it	PRON
cana-5835	76	10	is	be	AUX
cana-5835	76	11	incorporated	incorporate	VERB
cana-5835	76	12	by	by	ADP
cana-5835	76	13	the	the	DET
cana-5835	76	14	equation	equation	NOUN
cana-5835	76	15	of	of	ADP
cana-5835	76	16	state	state	NOUN
cana-5835	76	17	(	(	PUNCT
cana-5835	76	18	eq	eq	NOUN
cana-5835	76	19	.	.	PUNCT
cana-5835	77	1	(	(	PUNCT
cana-5835	77	2	1	1	NUM
cana-5835	77	3	)	)	PUNCT
cana-5835	77	4	)	)	PUNCT
cana-5835	77	5	that	that	PRON
cana-5835	77	6	takes	take	VERB
cana-5835	77	7	into	into	ADP
cana-5835	77	8	consideration	consideration	NOUN
cana-5835	77	9	the	the	DET
cana-5835	77	10	fermionic	fermionic	NOUN
cana-5835	77	11	nature	nature	NOUN
cana-5835	77	12	of	of	ADP
cana-5835	77	13	the	the	DET
cana-5835	77	14	electrons	electron	NOUN
cana-5835	77	15	.	.	PUNCT
cana-5835	78	1	eq	eq	X
cana-5835	78	2	.	.	PUNCT
cana-5835	79	1	(	(	PUNCT
cana-5835	79	2	2	2	X
cana-5835	79	3	)	)	PUNCT
cana-5835	79	4	represents	represent	VERB
cana-5835	79	5	the	the	DET
cana-5835	79	6	dynamic	dynamic	NOUN
cana-5835	79	7	of	of	ADP
cana-5835	79	8	the	the	DET
cana-5835	79	9	lattice	lattice	NOUN
cana-5835	79	10	in	in	ADP
cana-5835	79	11	the	the	DET
cana-5835	79	12	crystal	crystal	NOUN
cana-5835	79	13	,	,	PUNCT
cana-5835	79	14	where	where	SCONJ
cana-5835	79	15	ρ	ρ	PROPN
cana-5835	79	16	is	be	AUX
cana-5835	79	17	the	the	DET
cana-5835	79	18	mass	mass	ADJ
cana-5835	79	19	density	density	NOUN
cana-5835	79	20	of	of	ADP
cana-5835	79	21	the	the	DET
cana-5835	79	22	crystal	crystal	NOUN
cana-5835	79	23	,	,	PUNCT
cana-5835	79	24	𝑢	𝑢	X
cana-5835	79	25	is	be	AUX
cana-5835	79	26	the	the	DET
cana-5835	79	27	displacement	displacement	NOUN
cana-5835	79	28	of	of	ADP
cana-5835	79	29	the	the	DET
cana-5835	79	30	lattice	lattice	NOUN
cana-5835	79	31	,	,	PUNCT
cana-5835	79	32	𝛤𝑎	𝛤𝑎	PROPN
cana-5835	79	33	is	be	AUX
cana-5835	79	34	the	the	DET
cana-5835	79	35	phenomenological	phenomenological	ADJ
cana-5835	79	36	damping	damp	VERB
cana-5835	79	37	factor	factor	NOUN
cana-5835	79	38	of	of	ADP
cana-5835	79	39	communications	communication	NOUN
cana-5835	79	40	on	on	ADP
cana-5835	79	41	applied	apply	VERB
cana-5835	79	42	nonlinear	nonlinear	ADJ
cana-5835	79	43	analysis	analysis	NOUN
cana-5835	79	44	issn	issn	NOUN
cana-5835	79	45	:	:	PUNCT
cana-5835	79	46	1074	1074	NUM
cana-5835	79	47	-	-	PUNCT
cana-5835	79	48	133x	133x	NUM
cana-5835	79	49	vol	vol	NOUN
cana-5835	79	50	32	32	NUM
cana-5835	79	51	no	no	NOUN
cana-5835	79	52	.	.	NOUN
cana-5835	79	53	1	1	NUM
cana-5835	79	54	(	(	PUNCT
cana-5835	79	55	2025	2025	NUM
cana-5835	79	56	)	)	PUNCT
cana-5835	79	57	https://internationalpubls.com	https://internationalpubls.com	X
cana-5835	79	58	569	569	NUM
cana-5835	79	59	acoustic	acoustic	ADJ
cana-5835	79	60	mode	mode	NOUN
cana-5835	79	61	,	,	PUNCT
cana-5835	79	62	𝐶	𝐶	PROPN
cana-5835	79	63	the	the	DET
cana-5835	79	64	elastic	elastic	ADJ
cana-5835	79	65	constant	constant	ADJ
cana-5835	79	66	,	,	PUNCT
cana-5835	79	67	γ	γ	PROPN
cana-5835	79	68	the	the	DET
cana-5835	79	69	electrostriction	electrostriction	NOUN
cana-5835	79	70	coefficient	coefficient	NOUN
cana-5835	79	71	of	of	ADP
cana-5835	79	72	the	the	DET
cana-5835	79	73	crystal	crystal	NOUN
cana-5835	79	74	respectively	respectively	ADV
cana-5835	79	75	.	.	PUNCT
cana-5835	80	1	the	the	DET
cana-5835	80	2	conservative	conservative	ADJ
cana-5835	80	3	term	term	NOUN
cana-5835	80	4	at	at	ADP
cana-5835	80	5	the	the	DET
cana-5835	80	6	right	right	ADJ
cana-5835	80	7	-	-	PUNCT
cana-5835	80	8	hand	hand	NOUN
cana-5835	80	9	side	side	NOUN
cana-5835	80	10	of	of	ADP
cana-5835	80	11	eq	eq	PROPN
cana-5835	80	12	.	.	PUNCT
cana-5835	81	1	(	(	PUNCT
cana-5835	81	2	2	2	X
cana-5835	81	3	)	)	PUNCT
cana-5835	81	4	is	be	AUX
cana-5835	81	5	proportional	proportional	ADJ
cana-5835	81	6	to	to	ADP
cana-5835	81	7	the	the	DET
cana-5835	81	8	electrostrictive	electrostrictive	ADJ
cana-5835	81	9	force	force	NOUN
cana-5835	81	10	,	,	PUNCT
cana-5835	81	11	which	which	PRON
cana-5835	81	12	is	be	AUX
cana-5835	81	13	generated	generate	VERB
cana-5835	81	14	by	by	ADP
cana-5835	81	15	the	the	DET
cana-5835	81	16	pump	pump	PROPN
cana-5835	81	17	electric	electric	ADJ
cana-5835	81	18	field	field	NOUN
cana-5835	81	19	through	through	ADP
cana-5835	81	20	electrostriction	electrostriction	NOUN
cana-5835	81	21	.	.	PUNCT
cana-5835	82	1	eqs	eqs	PROPN
cana-5835	82	2	.	.	PUNCT
cana-5835	83	1	(	(	PUNCT
cana-5835	83	2	3	3	X
cana-5835	83	3	)	)	PUNCT
cana-5835	83	4	and	and	CCONJ
cana-5835	83	5	(	(	PUNCT
cana-5835	83	6	4	4	X
cana-5835	83	7	)	)	PUNCT
cana-5835	83	8	are	be	AUX
cana-5835	83	9	the	the	DET
cana-5835	83	10	zeroth	zeroth	ADJ
cana-5835	83	11	and	and	CCONJ
cana-5835	83	12	first	first	ADJ
cana-5835	83	13	order	order	NOUN
cana-5835	83	14	oscillatory	oscillatory	ADJ
cana-5835	83	15	velocities	velocity	NOUN
cana-5835	83	16	of	of	ADP
cana-5835	83	17	the	the	DET
cana-5835	83	18	fluid	fluid	NOUN
cana-5835	83	19	of	of	ADP
cana-5835	83	20	an	an	DET
cana-5835	83	21	electron	electron	NOUN
cana-5835	83	22	of	of	ADP
cana-5835	83	23	constant	constant	ADJ
cana-5835	83	24	mass	mass	NOUN
cana-5835	83	25	m	m	PROPN
cana-5835	83	26	and	and	CCONJ
cana-5835	83	27	charge	charge	VERB
cana-5835	83	28	e.	e.	PROPN
cana-5835	83	29	𝜈	𝜈	PROPN
cana-5835	83	30	is	be	AUX
cana-5835	83	31	the	the	DET
cana-5835	83	32	phenomenological	phenomenological	ADJ
cana-5835	83	33	frequency	frequency	NOUN
cana-5835	83	34	of	of	ADP
cana-5835	83	35	an	an	DET
cana-5835	83	36	electronic	electronic	ADJ
cana-5835	83	37	collision	collision	NOUN
cana-5835	83	38	.	.	PUNCT
cana-5835	84	1	in	in	ADP
cana-5835	84	2	eq	eq	ADP
cana-5835	84	3	.	.	PUNCT
cana-5835	85	1	(	(	PUNCT
cana-5835	85	2	3	3	X
cana-5835	85	3	)	)	PUNCT
cana-5835	85	4	we	we	PRON
cana-5835	85	5	have	have	AUX
cana-5835	85	6	neglected	neglect	VERB
cana-5835	85	7	the	the	DET
cana-5835	85	8	pump	pump	NOUN
cana-5835	85	9	magnetic	magnetic	ADJ
cana-5835	85	10	field	field	NOUN
cana-5835	85	11	by	by	ADP
cana-5835	85	12	assuming	assume	VERB
cana-5835	85	13	𝜔𝑝	𝜔𝑝	ADP
cana-5835	85	14	≈	≈	PROPN
cana-5835	85	15	𝜔𝑐	𝜔𝑐	PROPN
cana-5835	85	16	≈	≈	PROPN
cana-5835	85	17	𝜔0	𝜔0	PROPN
cana-5835	85	18	.	.	PUNCT
cana-5835	86	1	the	the	DET
cana-5835	86	2	quantum	quantum	ADJ
cana-5835	86	3	correction	correction	NOUN
cana-5835	86	4	on	on	ADP
cana-5835	86	5	the	the	DET
cana-5835	86	6	eq	eq	NOUN
cana-5835	86	7	.	.	PUNCT
cana-5835	87	1	(	(	PUNCT
cana-5835	87	2	4	4	X
cana-5835	87	3	)	)	PUNCT
cana-5835	87	4	manifests	manifest	VERB
cana-5835	87	5	itself	itself	PRON
cana-5835	87	6	in	in	ADP
cana-5835	87	7	terms	term	NOUN
cana-5835	87	8	of	of	ADP
cana-5835	87	9	fermi	fermi	NOUN
cana-5835	87	10	temperature	temperature	NOUN
cana-5835	87	11	and	and	CCONJ
cana-5835	87	12	third	third	ADJ
cana-5835	87	13	term	term	NOUN
cana-5835	87	14	on	on	ADP
cana-5835	87	15	the	the	DET
cana-5835	87	16	right	right	ADJ
cana-5835	87	17	hand	hand	NOUN
cana-5835	87	18	-	-	PUNCT
cana-5835	87	19	side	side	NOUN
cana-5835	87	20	.	.	PUNCT
cana-5835	88	1	the	the	DET
cana-5835	88	2	conservation	conservation	NOUN
cana-5835	88	3	of	of	ADP
cana-5835	88	4	charge	charge	NOUN
cana-5835	88	5	is	be	AUX
cana-5835	88	6	embodied	embody	VERB
cana-5835	88	7	by	by	ADP
cana-5835	88	8	the	the	DET
cana-5835	88	9	continuity	continuity	NOUN
cana-5835	88	10	eq	eq	ADP
cana-5835	88	11	.	.	PUNCT
cana-5835	89	1	(	(	PUNCT
cana-5835	89	2	5	5	NUM
cana-5835	89	3	)	)	PUNCT
cana-5835	89	4	.	.	PUNCT
cana-5835	90	1	eq	eq	X
cana-5835	90	2	.	.	PUNCT
cana-5835	91	1	(	(	PUNCT
cana-5835	91	2	6	6	X
cana-5835	91	3	)	)	PUNCT
cana-5835	91	4	show	show	VERB
cana-5835	91	5	that	that	SCONJ
cana-5835	91	6	as	as	ADP
cana-5835	91	7	a	a	DET
cana-5835	91	8	direct	direct	ADJ
cana-5835	91	9	consequence	consequence	NOUN
cana-5835	91	10	of	of	ADP
cana-5835	91	11	varying	vary	VERB
cana-5835	91	12	electronic	electronic	ADJ
cana-5835	91	13	strain	strain	NOUN
cana-5835	91	14	there	there	ADV
cana-5835	91	15	is	be	VERB
cana-5835	91	16	a	a	DET
cana-5835	91	17	corresponding	corresponding	ADJ
cana-5835	91	18	change	change	NOUN
cana-5835	91	19	in	in	ADP
cana-5835	91	20	the	the	DET
cana-5835	91	21	dielectric	dielectric	ADJ
cana-5835	91	22	constant	constant	NOUN
cana-5835	91	23	of	of	ADP
cana-5835	91	24	a	a	DET
cana-5835	91	25	material	material	NOUN
cana-5835	91	26	because	because	SCONJ
cana-5835	91	27	the	the	DET
cana-5835	91	28	modulated	modulate	VERB
cana-5835	91	29	or	or	CCONJ
cana-5835	91	30	varying	vary	VERB
cana-5835	91	31	electrostrictive	electrostrictive	ADJ
cana-5835	91	32	strain	strain	NOUN
cana-5835	91	33	then	then	ADV
cana-5835	91	34	leads	lead	VERB
cana-5835	91	35	to	to	ADP
cana-5835	91	36	an	an	DET
cana-5835	91	37	electrostrictive	electrostrictive	ADJ
cana-5835	91	38	induced	induce	VERB
cana-5835	91	39	polarization𝑃𝑒𝑠.	polarization𝑃𝑒𝑠.	NOUN
cana-5835	91	40	when	when	SCONJ
cana-5835	91	41	the	the	DET
cana-5835	91	42	frequency	frequency	NOUN
cana-5835	91	43	of	of	ADP
cana-5835	91	44	the	the	DET
cana-5835	91	45	field	field	NOUN
cana-5835	91	46	is	be	AUX
cana-5835	91	47	very	very	ADV
cana-5835	91	48	high	high	ADJ
cana-5835	91	49	and	and	CCONJ
cana-5835	91	50	therefore	therefore	ADV
cana-5835	91	51	very	very	ADV
cana-5835	91	52	high	high	ADJ
cana-5835	91	53	in	in	ADP
cana-5835	91	54	comparison	comparison	NOUN
cana-5835	91	55	with	with	ADP
cana-5835	91	56	the	the	DET
cana-5835	91	57	frequencies	frequency	NOUN
cana-5835	91	58	with	with	ADP
cana-5835	91	59	which	which	PRON
cana-5835	91	60	we	we	PRON
cana-5835	91	61	have	have	AUX
cana-5835	91	62	become	become	VERB
cana-5835	91	63	familiar	familiar	ADJ
cana-5835	91	64	as	as	ADP
cana-5835	91	65	related	relate	VERB
cana-5835	91	66	to	to	ADP
cana-5835	91	67	the	the	DET
cana-5835	91	68	movement	movement	NOUN
cana-5835	91	69	of	of	ADP
cana-5835	91	70	electrons	electron	NOUN
cana-5835	91	71	in	in	ADP
cana-5835	91	72	the	the	DET
cana-5835	91	73	medium	medium	NOUN
cana-5835	91	74	,	,	PUNCT
cana-5835	91	75	we	we	PRON
cana-5835	91	76	may	may	AUX
cana-5835	91	77	say	say	VERB
cana-5835	91	78	that	that	SCONJ
cana-5835	91	79	the	the	DET
cana-5835	91	80	polarizability	polarizability	NOUN
cana-5835	91	81	of	of	ADP
cana-5835	91	82	the	the	DET
cana-5835	91	83	medium	medium	NOUN
cana-5835	91	84	is	be	AUX
cana-5835	91	85	negligible	negligible	ADJ
cana-5835	91	86	interaction	interaction	NOUN
cana-5835	91	87	of	of	ADP
cana-5835	91	88	the	the	DET
cana-5835	91	89	electrons	electron	NOUN
cana-5835	91	90	with	with	ADP
cana-5835	91	91	each	each	DET
cana-5835	91	92	other	other	ADJ
cana-5835	91	93	and	and	CCONJ
cana-5835	91	94	the	the	DET
cana-5835	91	95	nuclei	nucleus	NOUN
cana-5835	91	96	of	of	ADP
cana-5835	91	97	the	the	DET
cana-5835	91	98	atoms	atom	NOUN
cana-5835	91	99	of	of	ADP
cana-5835	91	100	the	the	DET
cana-5835	91	101	medium	medium	NOUN
cana-5835	91	102	.	.	PUNCT
cana-5835	92	1	the	the	DET
cana-5835	92	2	space	space	NOUN
cana-5835	92	3	charge	charge	NOUN
cana-5835	92	4	field	field	NOUN
cana-5835	92	5	𝐸1is	𝐸1i	NOUN
cana-5835	92	6	determined	determine	VERB
cana-5835	92	7	by	by	ADP
cana-5835	92	8	poisson	poisson	NOUN
cana-5835	92	9	eq	eq	PROPN
cana-5835	92	10	.	.	PUNCT
cana-5835	93	1	(	(	PUNCT
cana-5835	93	2	7	7	NUM
cana-5835	93	3	)	)	PUNCT
cana-5835	93	4	where	where	SCONJ
cana-5835	93	5	휀	휀	NOUN
cana-5835	93	6	is	be	AUX
cana-5835	93	7	dielectric	dielectric	ADV
cana-5835	93	8	constant	constant	ADJ
cana-5835	93	9	of	of	ADP
cana-5835	93	10	semiconductor	semiconductor	NOUN
cana-5835	93	11	.	.	PUNCT
cana-5835	94	1	the	the	DET
cana-5835	94	2	electro	electro	ADJ
cana-5835	94	3	strictive	strictive	NOUN
cana-5835	94	4	force	force	NOUN
cana-5835	94	5	causes	cause	VERB
cana-5835	94	6	the	the	DET
cana-5835	94	7	carrier	carrier	NOUN
cana-5835	94	8	density	density	NOUN
cana-5835	94	9	perturbation	perturbation	NOUN
cana-5835	94	10	within	within	ADP
cana-5835	94	11	the	the	DET
cana-5835	94	12	brillouin	brillouin	NOUN
cana-5835	94	13	active	active	ADJ
cana-5835	94	14	medium	medium	NOUN
cana-5835	94	15	.	.	PUNCT
cana-5835	95	1	this	this	DET
cana-5835	95	2	density	density	NOUN
cana-5835	95	3	perturbation	perturbation	NOUN
cana-5835	95	4	is	be	AUX
cana-5835	95	5	accessible	accessible	ADJ
cana-5835	95	6	in	in	ADP
cana-5835	95	7	a	a	DET
cana-5835	95	8	doped	doped	ADJ
cana-5835	95	9	semiconductor	semiconductor	NOUN
cana-5835	95	10	in	in	ADP
cana-5835	95	11	the	the	DET
cana-5835	95	12	normal	normal	ADJ
cana-5835	95	13	way	way	NOUN
cana-5835	96	1	[	[	X
cana-5835	96	2	22	22	NUM
cana-5835	96	3	]	]	PUNCT
cana-5835	96	4	as	as	ADP
cana-5835	96	5	𝜕2𝑛1𝛼	𝜕2𝑛1𝛼	PROPN
cana-5835	96	6	𝜕𝑡2	𝜕𝑡2	PROPN
cana-5835	96	7	+	+	SYM
cana-5835	96	8	�	�	NOUN
cana-5835	96	9	̅	̅	NOUN
cana-5835	96	10	�	�	NOUN
cana-5835	96	11	2	2	NUM
cana-5835	96	12	𝑝𝑛1𝛼	𝑝𝑛1𝛼	PROPN
cana-5835	96	13	+	+	CCONJ
cana-5835	96	14	𝑛0	𝑛0	VERB
cana-5835	96	15	(	(	PUNCT
cana-5835	96	16	2𝜇𝐵	2𝜇𝐵	NUM
cana-5835	96	17	ℏ𝑚	ℏ𝑚	ADP
cana-5835	96	18	𝑖𝑘2	𝑖𝑘2	NOUN
cana-5835	96	19	�	�	NOUN
cana-5835	96	20	̅	̅	NOUN
cana-5835	96	21	�	�	PROPN
cana-5835	96	22	𝜔0	𝜔0	NOUN
cana-5835	96	23	𝑆𝛼0	𝑆𝛼0	NOUN
cana-5835	97	1	+	+	CCONJ
cana-5835	97	2	𝛽	𝛽	PROPN
cana-5835	97	3	𝜕2𝑢	𝜕2𝑢	PROPN
cana-5835	97	4	𝜕𝑥2	𝜕𝑥2	PROPN
cana-5835	97	5	)	)	PUNCT
cana-5835	98	1	+	+	CCONJ
cana-5835	98	2	𝜈	𝜈	X
cana-5835	98	3	𝜕𝑛1𝛼	𝜕𝑛1𝛼	ADJ
cana-5835	98	4	𝜕𝑡	𝜕𝑡	PROPN
cana-5835	98	5	=	=	AUX
cana-5835	98	6	⁡⁡	⁡⁡	X
cana-5835	98	7	�	�	NOUN
cana-5835	98	8	̅	̅	NOUN
cana-5835	98	9	�	�	NOUN
cana-5835	98	10	𝜕𝑛1𝛼	𝜕𝑛1𝛼	ADJ
cana-5835	98	11	𝜕𝑥	𝜕𝑥	X
cana-5835	98	12	(	(	PUNCT
cana-5835	98	13	8)	8)	NUM
cana-5835	98	14	where	where	SCONJ
cana-5835	98	15	�	�	NOUN
cana-5835	98	16	̅	̅	NOUN
cana-5835	98	17	�	�	NOUN
cana-5835	98	18	=	=	SYM
cana-5835	98	19	𝑒	𝑒	PROPN
cana-5835	98	20	𝑚	𝑚	NOUN
cana-5835	98	21	𝐸0(1	𝐸0(1	ADJ
cana-5835	98	22	+	+	X
cana-5835	98	23	𝜔𝑐⁡(𝜈−𝑖𝜔0	𝜔𝑐⁡(𝜈−𝑖𝜔0	NUM
cana-5835	98	24	)	)	PUNCT
cana-5835	98	25	(	(	PUNCT
cana-5835	98	26	𝜔𝑐	𝜔𝑐	PROPN
cana-5835	98	27	2−𝜔0	2−𝜔0	NUM
cana-5835	98	28	2−2𝑖𝜔0𝜈	2−2𝑖𝜔0𝜈	NOUN
cana-5835	98	29	)	)	PUNCT
cana-5835	98	30	)	)	PUNCT
cana-5835	98	31	,	,	PUNCT
cana-5835	98	32	𝜛𝑝	𝜛𝑝	NOUN
cana-5835	98	33	2	2	NUM
cana-5835	98	34	=	=	SYM
cana-5835	98	35	𝜔𝑝	𝜔𝑝	ADP
cana-5835	98	36	2	2	NUM
cana-5835	98	37	+	+	CCONJ
cana-5835	98	38	𝑘2𝑉𝐹	𝑘2𝑉𝐹	PROPN
cana-5835	98	39	′2	′2	NOUN
cana-5835	98	40	,	,	PUNCT
cana-5835	98	41	𝑉𝐹	𝑉𝐹	NOUN
cana-5835	98	42	′	′	NOUN
cana-5835	99	1	=	=	PUNCT
cana-5835	99	2	𝑉𝐹√1	𝑉𝐹√1	PRON
cana-5835	99	3	+	+	CCONJ
cana-5835	99	4	𝛾𝑒	𝛾𝑒	INTJ
cana-5835	99	5	,	,	PUNCT
cana-5835	99	6	𝛾𝑒	𝛾𝑒	PROPN
cana-5835	99	7	=	=	PUNCT
cana-5835	99	8	ℏ2𝑘2	ℏ2𝑘2	PROPN
cana-5835	99	9	8𝑚𝐾𝐵𝑇𝐹	8𝑚𝐾𝐵𝑇𝐹	NOUN
cana-5835	99	10	in	in	ADP
cana-5835	99	11	deriving	deriving	NOUN
cana-5835	99	12	of	of	ADP
cana-5835	99	13	eq	eq	NOUN
cana-5835	99	14	.	.	PUNCT
cana-5835	100	1	(	(	PUNCT
cana-5835	100	2	8)	8)	NUM
cana-5835	100	3	we	we	PRON
cana-5835	100	4	have	have	AUX
cana-5835	100	5	neglected	neglect	VERB
cana-5835	100	6	the	the	DET
cana-5835	100	7	doppler	doppler	NOUN
cana-5835	100	8	shift	shift	NOUN
cana-5835	100	9	under	under	ADP
cana-5835	100	10	the	the	DET
cana-5835	100	11	assumption	assumption	NOUN
cana-5835	100	12	that	that	SCONJ
cana-5835	100	13	𝜔0	𝜔0	VERB
cana-5835	100	14	>	>	X
cana-5835	100	15	>	>	X
cana-5835	100	16	⁡𝜈	⁡𝜈	X
cana-5835	100	17	>	>	PUNCT
cana-5835	100	18	𝑘𝜐0	𝑘𝜐0	NOUN
cana-5835	100	19	;	;	PUNCT
cana-5835	101	1	𝜔𝑝	𝜔𝑝	ADP
cana-5835	101	2	=	=	PUNCT
cana-5835	101	3	(	(	PUNCT
cana-5835	101	4	𝑛0𝑒	𝑛0𝑒	ADJ
cana-5835	101	5	2	2	NUM
cana-5835	101	6	𝑚	𝑚	NOUN
cana-5835	101	7	)	)	PUNCT
cana-5835	101	8	1	1	NUM
cana-5835	101	9	2⁄	2⁄	NUM
cana-5835	101	10	is	be	AUX
cana-5835	101	11	the	the	DET
cana-5835	101	12	plasma	plasma	NOUN
cana-5835	101	13	frequency	frequency	NOUN
cana-5835	101	14	.	.	PUNCT
cana-5835	102	1	it	it	PRON
cana-5835	102	2	is	be	AUX
cana-5835	102	3	obvious	obvious	ADJ
cana-5835	102	4	that	that	SCONJ
cana-5835	102	5	the	the	DET
cana-5835	102	6	second	second	ADJ
cana-5835	102	7	term	term	NOUN
cana-5835	102	8	on	on	ADP
cana-5835	102	9	left	left	ADJ
cana-5835	102	10	hand	hand	NOUN
cana-5835	102	11	side	side	NOUN
cana-5835	102	12	of	of	ADP
cana-5835	102	13	eq	eq	PROPN
cana-5835	102	14	.	.	PUNCT
cana-5835	103	1	(	(	PUNCT
cana-5835	103	2	8)	8)	NUM
cana-5835	103	3	has	have	VERB
cana-5835	103	4	the	the	DET
cana-5835	103	5	composite	composite	ADJ
cana-5835	103	6	effect	effect	NOUN
cana-5835	103	7	of	of	ADP
cana-5835	103	8	quantum	quantum	ADJ
cana-5835	103	9	correction	correction	NOUN
cana-5835	103	10	and	and	CCONJ
cana-5835	103	11	fermi	fermi	NOUN
cana-5835	103	12	dispersion	dispersion	NOUN
cana-5835	103	13	.	.	PUNCT
cana-5835	104	1	the	the	DET
cana-5835	104	2	perturbed	perturb	VERB
cana-5835	104	3	concentration	concentration	NOUN
cana-5835	104	4	electron	electron	NOUN
cana-5835	104	5	𝑛1	𝑛1	NOUN
cana-5835	104	6	will	will	AUX
cana-5835	104	7	consist	consist	VERB
cana-5835	104	8	of	of	ADP
cana-5835	104	9	two	two	NUM
cana-5835	104	10	parts	part	NOUN
cana-5835	104	11	which	which	PRON
cana-5835	104	12	can	can	AUX
cana-5835	104	13	be	be	AUX
cana-5835	104	14	separated	separate	VERB
cana-5835	104	15	as	as	ADP
cana-5835	104	16	slow	slow	ADJ
cana-5835	104	17	and	and	CCONJ
cana-5835	104	18	fast	fast	ADV
cana-5835	104	19	(	(	PUNCT
cana-5835	104	20	𝑛1	𝑛1	NOUN
cana-5835	104	21	=	=	NOUN
cana-5835	104	22	𝑛1𝑠	𝑛1𝑠	NOUN
cana-5835	104	23	+	+	CCONJ
cana-5835	104	24	𝑛1𝑓	𝑛1𝑓	ADJ
cana-5835	104	25	)	)	PUNCT
cana-5835	104	26	.	.	PUNCT
cana-5835	105	1	it	it	PRON
cana-5835	105	2	is	be	AUX
cana-5835	105	3	assumed	assume	VERB
cana-5835	105	4	that	that	SCONJ
cana-5835	105	5	the	the	DET
cana-5835	105	6	slow	slow	ADJ
cana-5835	105	7	part	part	NOUN
cana-5835	105	8	𝑛1𝑠	𝑛1𝑠	PRON
cana-5835	105	9	is	be	AUX
cana-5835	105	10	related	relate	VERB
cana-5835	105	11	to	to	ADP
cana-5835	105	12	the	the	DET
cana-5835	105	13	low	low	ADJ
cana-5835	105	14	frequency	frequency	NOUN
cana-5835	105	15	acoustic	acoustic	ADJ
cana-5835	105	16	wave	wave	NOUN
cana-5835	105	17	(	(	PUNCT
cana-5835	105	18	𝜔𝑎	𝜔𝑎	PROPN
cana-5835	105	19	)	)	PUNCT
cana-5835	105	20	,	,	PUNCT
cana-5835	105	21	whereas	whereas	SCONJ
cana-5835	105	22	the	the	DET
cana-5835	105	23	fast	fast	ADJ
cana-5835	105	24	part	part	NOUN
cana-5835	105	25	𝑛1𝑓	𝑛1𝑓	ADJ
cana-5835	105	26	oscillates	oscillate	NOUN
cana-5835	105	27	only	only	ADV
cana-5835	105	28	at	at	ADP
cana-5835	105	29	the	the	DET
cana-5835	105	30	electromagnetic	electromagnetic	ADJ
cana-5835	105	31	waves	wave	NOUN
cana-5835	105	32	(	(	PUNCT
cana-5835	105	33	𝜔0	𝜔0	NOUN
cana-5835	105	34	±	±	NUM
cana-5835	105	35	𝜔𝑎	𝜔𝑎	NOUN
cana-5835	105	36	)	)	PUNCT
cana-5835	105	37	.	.	PUNCT
cana-5835	106	1	the	the	DET
cana-5835	106	2	higher	high	ADJ
cana-5835	106	3	order	order	NOUN
cana-5835	106	4	terms	term	NOUN
cana-5835	106	5	with	with	ADP
cana-5835	106	6	frequencies	frequency	NOUN
cana-5835	106	7	𝜔0	𝜔0	VERB
cana-5835	106	8	±	±	NUM
cana-5835	106	9	𝑝𝜔𝑎(𝑝	𝑝𝜔𝑎(𝑝	PROPN
cana-5835	106	10	=	=	SYM
cana-5835	106	11	2,3,4	2,3,4	NUM
cana-5835	106	12	,	,	PUNCT
cana-5835	106	13	…	…	PUNCT
cana-5835	106	14	)	)	PUNCT
cana-5835	106	15	being	be	AUX
cana-5835	106	16	off	off	ADP
cana-5835	106	17	resonant	resonant	NOUN
cana-5835	106	18	are	be	AUX
cana-5835	106	19	neglected	neglect	VERB
cana-5835	106	20	.	.	PUNCT
cana-5835	107	1	in	in	ADP
cana-5835	107	2	this	this	DET
cana-5835	107	3	case	case	NOUN
cana-5835	107	4	we	we	PRON
cana-5835	107	5	have	have	AUX
cana-5835	107	6	taken	take	VERB
cana-5835	107	7	the	the	DET
cana-5835	107	8	energy	energy	NOUN
cana-5835	107	9	of	of	ADP
cana-5835	107	10	the	the	DET
cana-5835	107	11	photons	photon	NOUN
cana-5835	107	12	(	(	PUNCT
cana-5835	107	13	ℏ𝜔1	ℏ𝜔1	ADV
cana-5835	107	14	)	)	PUNCT
cana-5835	107	15	slightly	slightly	ADV
cana-5835	107	16	below	below	ADP
cana-5835	107	17	the	the	DET
cana-5835	107	18	band	band	NOUN
cana-5835	107	19	gap	gap	NOUN
cana-5835	107	20	energy	energy	NOUN
cana-5835	107	21	(	(	PUNCT
cana-5835	107	22	ℏ𝜔𝑔	ℏ𝜔𝑔	PROPN
cana-5835	107	23	)	)	PUNCT
cana-5835	107	24	;	;	PUNCT
cana-5835	107	25	this	this	DET
cana-5835	107	26	approximation	approximation	NOUN
cana-5835	107	27	enables	enable	VERB
cana-5835	107	28	the	the	DET
cana-5835	107	29	optical	optical	ADJ
cana-5835	107	30	energy	energy	NOUN
cana-5835	107	31	to	to	PART
cana-5835	107	32	be	be	AUX
cana-5835	107	33	treated	treat	VERB
cana-5835	107	34	in	in	ADP
cana-5835	107	35	terms	term	NOUN
cana-5835	107	36	of	of	ADP
cana-5835	107	37	a	a	DET
cana-5835	107	38	small	small	ADJ
cana-5835	107	39	perturbation	perturbation	NOUN
cana-5835	107	40	.	.	PUNCT
cana-5835	108	1	7	7	NUM
cana-5835	108	2	characteristics	characteristic	NOUN
cana-5835	108	3	of	of	ADP
cana-5835	108	4	the	the	DET
cana-5835	108	5	sample	sample	NOUN
cana-5835	108	6	to	to	PART
cana-5835	108	7	be	be	AUX
cana-5835	108	8	altered	alter	VERB
cana-5835	108	9	significantly	significantly	ADV
cana-5835	108	10	by	by	ADP
cana-5835	108	11	the	the	DET
cana-5835	108	12	free	free	ADJ
cana-5835	108	13	charge	charge	NOUN
cana-5835	108	14	carriers	carrier	NOUN
cana-5835	108	15	and	and	CCONJ
cana-5835	108	16	not	not	PART
cana-5835	108	17	to	to	PART
cana-5835	108	18	be	be	AUX
cana-5835	108	19	altered	alter	VERB
cana-5835	108	20	the	the	DET
cana-5835	108	21	quantum	quantum	NOUN
cana-5835	108	22	magnetohydrodynamic	magnetohydrodynamic	NOUN
cana-5835	108	23	is	be	AUX
cana-5835	108	24	used	use	VERB
cana-5835	108	25	to	to	PART
cana-5835	108	26	model	model	VERB
cana-5835	108	27	the	the	DET
cana-5835	108	28	stimulated	stimulated	ADJ
cana-5835	108	29	brillouin	brillouin	NOUN
cana-5835	108	30	scattering	scattering	NOUN
cana-5835	108	31	(	(	PUNCT
cana-5835	108	32	sbs	sbs	NOUN
cana-5835	108	33	)	)	PUNCT
cana-5835	108	34	process	process	NOUN
cana-5835	108	35	in	in	ADP
cana-5835	108	36	this	this	DET
cana-5835	108	37	work	work	NOUN
cana-5835	108	38	,	,	PUNCT
cana-5835	108	39	where	where	SCONJ
cana-5835	108	40	quantum	quantum	NOUN
cana-5835	108	41	pressure	pressure	NOUN
cana-5835	108	42	,	,	PUNCT
cana-5835	108	43	spin	spin	NOUN
cana-5835	108	44	effects	effect	NOUN
cana-5835	108	45	,	,	PUNCT
cana-5835	108	46	and	and	CCONJ
cana-5835	108	47	electrostrictive	electrostrictive	ADJ
cana-5835	108	48	feedback	feedback	NOUN
cana-5835	108	49	are	be	AUX
cana-5835	108	50	incorporated	incorporate	VERB
cana-5835	108	51	.	.	PUNCT
cana-5835	109	1	the	the	DET
cana-5835	109	2	resultant	resultant	NOUN
cana-5835	109	3	system	system	NOUN
cana-5835	109	4	is	be	AUX
cana-5835	109	5	a	a	DET
cana-5835	109	6	coupled	couple	VERB
cana-5835	109	7	non	non	ADJ
cana-5835	109	8	-	-	ADJ
cana-5835	109	9	linear	linear	ADJ
cana-5835	109	10	system	system	NOUN
cana-5835	109	11	of	of	ADP
cana-5835	109	12	governing	govern	VERB
cana-5835	109	13	equations	equation	NOUN
cana-5835	109	14	.	.	PUNCT
cana-5835	110	1	the	the	DET
cana-5835	110	2	present	present	ADJ
cana-5835	110	3	formulation	formulation	NOUN
cana-5835	110	4	is	be	AUX
cana-5835	110	5	highly	highly	ADV
cana-5835	110	6	applicable	applicable	ADJ
cana-5835	110	7	in	in	ADP
cana-5835	110	8	applied	apply	VERB
cana-5835	110	9	nonlinear	nonlinear	ADJ
cana-5835	110	10	analysis	analysis	NOUN
cana-5835	110	11	because	because	SCONJ
cana-5835	110	12	of	of	ADP
cana-5835	110	13	its	its	PRON
cana-5835	110	14	highly	highly	ADV
cana-5835	110	15	structured	structure	VERB
cana-5835	110	16	nature	nature	NOUN
cana-5835	110	17	and	and	CCONJ
cana-5835	110	18	sensitivity	sensitivity	NOUN
cana-5835	110	19	to	to	ADP
cana-5835	110	20	parameters	parameter	NOUN
cana-5835	110	21	.	.	PUNCT
cana-5835	111	1	2.1	2.1	NUM
cana-5835	111	2	.	.	PUNCT
cana-5835	111	3	steady	steady	ADJ
cana-5835	111	4	-	-	PUNCT
cana-5835	111	5	state	state	NOUN
cana-5835	111	6	characteristics	characteristic	NOUN
cana-5835	111	7	on	on	ADP
cana-5835	111	8	combining	combine	VERB
cana-5835	111	9	eq	eq	ADP
cana-5835	111	10	.	.	PUNCT
cana-5835	112	1	(	(	PUNCT
cana-5835	112	2	8)	8)	NUM
cana-5835	112	3	we	we	PRON
cana-5835	112	4	have	have	VERB
cana-5835	112	5	the	the	DET
cana-5835	112	6	following	follow	VERB
cana-5835	112	7	coupled	couple	VERB
cana-5835	112	8	equations	equation	NOUN
cana-5835	112	9	.	.	PUNCT
cana-5835	113	1	regarding	regard	VERB
cana-5835	113	2	rotating	rotate	VERB
cana-5835	113	3	wave	wave	NOUN
cana-5835	113	4	approximation	approximation	NOUN
cana-5835	113	5	𝜕2𝑛1𝑠	𝜕2𝑛1𝑠	NOUN
cana-5835	113	6	𝜕𝑡2	𝜕𝑡2	NOUN
cana-5835	113	7	+	+	CCONJ
cana-5835	113	8	𝜈	𝜈	X
cana-5835	113	9	𝜕𝑛1𝑠	𝜕𝑛1𝑠	NOUN
cana-5835	113	10	𝜕𝑡	𝜕𝑡	NOUN
cana-5835	113	11	+	+	NUM
cana-5835	113	12	𝜛𝑝	𝜛𝑝	NOUN
cana-5835	113	13	2𝑛1𝑠	2𝑛1𝑠	NUM
cana-5835	113	14	=	=	SYM
cana-5835	113	15	−𝐸	−𝐸	PROPN
cana-5835	113	16	𝜕𝑛1𝑓	𝜕𝑛1𝑓	NOUN
cana-5835	113	17	∗	∗	NOUN
cana-5835	113	18	𝜕𝑥	𝜕𝑥	X
cana-5835	113	19	(	(	PUNCT
cana-5835	113	20	9	9	NUM
cana-5835	113	21	)	)	PUNCT
cana-5835	113	22	and	and	CCONJ
cana-5835	113	23	𝜕2𝑛1𝑓	𝜕2𝑛1𝑓	PROPN
cana-5835	113	24	𝜕𝑡2	𝜕𝑡2	NOUN
cana-5835	113	25	+	+	CCONJ
cana-5835	113	26	𝜛𝑝	𝜛𝑝	NOUN
cana-5835	113	27	2𝑛1𝑓	2𝑛1𝑓	NUM
cana-5835	113	28	+	+	CCONJ
cana-5835	113	29	𝜈	𝜈	X
cana-5835	113	30	𝜕𝑛1𝑓	𝜕𝑛1𝑓	ADJ
cana-5835	114	1	𝜕𝑡	𝜕𝑡	NOUN
cana-5835	114	2	−	−	PROPN
cana-5835	114	3	𝑛0	𝑛0	VERB
cana-5835	114	4	(	(	PUNCT
cana-5835	114	5	2𝜇𝐵	2𝜇𝐵	NUM
cana-5835	114	6	ℏ𝑚	ℏ𝑚	ADP
cana-5835	114	7	𝑖𝑘2	𝑖𝑘2	NOUN
cana-5835	114	8	�	�	NOUN
cana-5835	114	9	̅	̅	NOUN
cana-5835	114	10	�	�	PROPN
cana-5835	114	11	𝜔0	𝜔0	NOUN
cana-5835	114	12	𝑆𝛼0	𝑆𝛼0	NOUN
cana-5835	115	1	+	+	CCONJ
cana-5835	115	2	𝛽	𝛽	PROPN
cana-5835	115	3	𝜕2𝑢	𝜕2𝑢	PROPN
cana-5835	115	4	𝜕𝑥2	𝜕𝑥2	NOUN
cana-5835	115	5	)	)	PUNCT
cana-5835	116	1	=	=	SYM
cana-5835	116	2	−𝐸	−𝐸	PROPN
cana-5835	116	3	𝜕𝑛1𝑠	𝜕𝑛1𝑠	NOUN
cana-5835	116	4	∗	∗	NOUN
cana-5835	116	5	𝜕𝑥	𝜕𝑥	X
cana-5835	116	6	(	(	PUNCT
cana-5835	116	7	10	10	NUM
cana-5835	116	8	)	)	PUNCT
cana-5835	116	9	communications	communication	NOUN
cana-5835	116	10	on	on	ADP
cana-5835	116	11	applied	apply	VERB
cana-5835	116	12	nonlinear	nonlinear	ADJ
cana-5835	116	13	analysis	analysis	NOUN
cana-5835	116	14	issn	issn	NOUN
cana-5835	116	15	:	:	PUNCT
cana-5835	116	16	1074	1074	NUM
cana-5835	116	17	-	-	PUNCT
cana-5835	116	18	133x	133x	NUM
cana-5835	116	19	vol	vol	NOUN
cana-5835	116	20	32	32	NUM
cana-5835	116	21	no	no	NOUN
cana-5835	116	22	.	.	NOUN
cana-5835	116	23	1	1	NUM
cana-5835	116	24	(	(	PUNCT
cana-5835	116	25	2025	2025	NUM
cana-5835	116	26	)	)	PUNCT
cana-5835	116	27	https://internationalpubls.com	https://internationalpubls.com	X
cana-5835	116	28	570	570	NUM
cana-5835	116	29	subscripts	subscript	NOUN
cana-5835	116	30	𝑠	𝑠	VERB
cana-5835	116	31	and	and	CCONJ
cana-5835	116	32	𝑓	𝑓	PRON
cana-5835	116	33	represents	represent	VERB
cana-5835	116	34	slow	slow	ADJ
cana-5835	116	35	and	and	CCONJ
cana-5835	116	36	fast	fast	ADJ
cana-5835	116	37	components	component	NOUN
cana-5835	116	38	respectively	respectively	ADV
cana-5835	116	39	.	.	PUNCT
cana-5835	117	1	asterisk	asterisk	NOUN
cana-5835	117	2	(	(	PUNCT
cana-5835	117	3	*	*	PUNCT
cana-5835	117	4	)	)	PUNCT
cana-5835	117	5	is	be	AUX
cana-5835	117	6	used	use	VERB
cana-5835	117	7	to	to	PART
cana-5835	117	8	indicate	indicate	VERB
cana-5835	117	9	the	the	DET
cana-5835	117	10	complex	complex	ADJ
cana-5835	117	11	conjugate	conjugate	NOUN
cana-5835	117	12	of	of	ADP
cana-5835	117	13	the	the	DET
cana-5835	117	14	quantities	quantity	NOUN
cana-5835	117	15	.	.	PUNCT
cana-5835	118	1	based	base	VERB
cana-5835	118	2	on	on	ADP
cana-5835	118	3	eqs	eqs	PROPN
cana-5835	118	4	.	.	PUNCT
cana-5835	119	1	(	(	PUNCT
cana-5835	119	2	9	9	NUM
cana-5835	119	3	)	)	PUNCT
cana-5835	119	4	and	and	CCONJ
cana-5835	119	5	(	(	PUNCT
cana-5835	119	6	10	10	NUM
cana-5835	119	7	)	)	PUNCT
cana-5835	119	8	that	that	SCONJ
cana-5835	119	9	the	the	DET
cana-5835	119	10	slowly	slowly	ADV
cana-5835	119	11	and	and	CCONJ
cana-5835	119	12	rapidly	rapidly	ADV
cana-5835	119	13	varying	vary	VERB
cana-5835	119	14	components	component	NOUN
cana-5835	119	15	of	of	ADP
cana-5835	119	16	the	the	DET
cana-5835	119	17	density	density	NOUN
cana-5835	119	18	perturbed	perturb	VERB
cana-5835	119	19	are	be	AUX
cana-5835	119	20	locked	lock	VERB
cana-5835	119	21	together	together	ADV
cana-5835	119	22	by	by	ADP
cana-5835	119	23	the	the	DET
cana-5835	119	24	pumping	pump	VERB
cana-5835	119	25	electric	electric	ADJ
cana-5835	119	26	field	field	NOUN
cana-5835	119	27	.	.	PUNCT
cana-5835	120	1	it	it	PRON
cana-5835	120	2	thus	thus	ADV
cana-5835	120	3	becomes	become	VERB
cana-5835	120	4	noticeable	noticeable	ADJ
cana-5835	120	5	that	that	SCONJ
cana-5835	120	6	the	the	DET
cana-5835	120	7	existence	existence	NOUN
cana-5835	120	8	of	of	ADP
cana-5835	120	9	the	the	DET
cana-5835	120	10	pump	pump	NOUN
cana-5835	120	11	field	field	NOUN
cana-5835	120	12	forms	form	VERB
cana-5835	120	13	the	the	DET
cana-5835	120	14	irreducible	irreducible	ADJ
cana-5835	120	15	necessity	necessity	NOUN
cana-5835	120	16	of	of	ADP
cana-5835	120	17	the	the	DET
cana-5835	120	18	sbs	sbs	ADJ
cana-5835	120	19	occurrence	occurrence	NOUN
cana-5835	120	20	to	to	PART
cana-5835	120	21	take	take	VERB
cana-5835	120	22	place	place	NOUN
cana-5835	120	23	.	.	PUNCT
cana-5835	121	1	using	use	VERB
cana-5835	121	2	the	the	DET
cana-5835	121	3	above	above	ADJ
cana-5835	121	4	equations	equation	NOUN
cana-5835	121	5	,	,	PUNCT
cana-5835	121	6	we	we	PRON
cana-5835	121	7	obtain	obtain	VERB
cana-5835	121	8	𝑛1𝑠	𝑛1𝑠	X
cana-5835	121	9	=	=	PUNCT
cana-5835	121	10	𝑛0	𝑛0	VERB
cana-5835	121	11	(	(	PUNCT
cana-5835	121	12	2𝜇𝐵	2𝜇𝐵	NUM
cana-5835	121	13	ℏ𝑚	ℏ𝑚	ADP
cana-5835	121	14	𝑖𝑘2	𝑖𝑘2	NOUN
cana-5835	121	15	�	�	NOUN
cana-5835	121	16	̅	̅	NOUN
cana-5835	121	17	�	�	PROPN
cana-5835	121	18	𝜔0	𝜔0	NOUN
cana-5835	121	19	𝑆𝛼0	𝑆𝛼0	NOUN
cana-5835	122	1	+	+	CCONJ
cana-5835	122	2	𝑒𝛽	𝑒𝛽	NOUN
cana-5835	122	3	𝑚	𝑚	ADP
cana-5835	122	4	𝜕2𝑢	𝜕2𝑢	PROPN
cana-5835	122	5	𝜕𝑥2	𝜕𝑥2	PROPN
cana-5835	122	6	)	)	PUNCT
cana-5835	123	1	[	[	X
cana-5835	123	2	1	1	NUM
cana-5835	123	3	−	−	NOUN
cana-5835	123	4	(	(	PUNCT
cana-5835	123	5	𝛿1	𝛿1	NOUN
cana-5835	123	6	2−𝑖𝜔𝑎𝜈)(𝛿2	2−𝑖𝜔𝑎𝜈)(𝛿2	NUM
cana-5835	123	7	2+𝑖𝜔1𝜈	2+𝑖𝜔1𝜈	NUM
cana-5835	123	8	)	)	PUNCT
cana-5835	123	9	𝑘2|𝐸|	𝑘2|𝐸|	PROPN
cana-5835	123	10	2	2	NUM
cana-5835	123	11	]	]	PUNCT
cana-5835	123	12	−1	−1	NOUN
cana-5835	123	13	𝐸0	𝐸0	ADJ
cana-5835	123	14	2𝐸1(𝜔1	2𝐸1(𝜔1	NUM
cana-5835	123	15	)	)	PUNCT
cana-5835	123	16	(	(	PUNCT
cana-5835	123	17	11	11	NUM
cana-5835	123	18	)	)	PUNCT
cana-5835	123	19	where	where	SCONJ
cana-5835	123	20	𝑣𝑎	𝑣𝑎	NOUN
cana-5835	123	21	=	=	PROPN
cana-5835	123	22	√𝐶/𝜌	√𝐶/𝜌	PROPN
cana-5835	123	23	is	be	AUX
cana-5835	123	24	the	the	DET
cana-5835	123	25	acoustic	acoustic	ADJ
cana-5835	123	26	velocity	velocity	NOUN
cana-5835	123	27	in	in	ADP
cana-5835	123	28	the	the	DET
cana-5835	123	29	medium	medium	NOUN
cana-5835	123	30	.	.	PUNCT
cana-5835	124	1	𝛿1	𝛿1	NOUN
cana-5835	124	2	2	2	NUM
cana-5835	125	1	=	=	SYM
cana-5835	125	2	𝜛𝑝	𝜛𝑝	NOUN
cana-5835	125	3	2	2	NUM
cana-5835	125	4	−	−	NOUN
cana-5835	125	5	𝜔𝑎	𝜔𝑎	ADP
cana-5835	125	6	2	2	NUM
cana-5835	125	7	and	and	CCONJ
cana-5835	125	8	𝛿2	𝛿2	PROPN
cana-5835	125	9	2	2	NUM
cana-5835	125	10	=	=	SYM
cana-5835	125	11	𝜛𝑝	𝜛𝑝	NOUN
cana-5835	125	12	2	2	NUM
cana-5835	125	13	−	−	NOUN
cana-5835	125	14	𝜔1	𝜔1	ADJ
cana-5835	125	15	2	2	X
cana-5835	125	16	.	.	PUNCT
cana-5835	126	1	as	as	SCONJ
cana-5835	126	2	can	can	AUX
cana-5835	126	3	be	be	AUX
cana-5835	126	4	read	read	VERB
cana-5835	126	5	in	in	ADP
cana-5835	126	6	the	the	DET
cana-5835	126	7	above	above	ADJ
cana-5835	126	8	expression	expression	NOUN
cana-5835	126	9	(	(	PUNCT
cana-5835	126	10	11	11	NUM
cana-5835	126	11	)	)	PUNCT
cana-5835	126	12	,	,	PUNCT
cana-5835	126	13	𝑛1𝑠	𝑛1𝑠	PRON
cana-5835	126	14	is	be	AUX
cana-5835	126	15	based	base	VERB
cana-5835	126	16	on	on	ADP
cana-5835	126	17	magnitude	magnitude	NOUN
cana-5835	126	18	of	of	ADP
cana-5835	126	19	the	the	DET
cana-5835	126	20	pump	pump	NOUN
cana-5835	126	21	intensity	intensity	NOUN
cana-5835	126	22	(	(	PUNCT
cana-5835	126	23	𝐼𝑖𝑛	𝐼𝑖𝑛	PROPN
cana-5835	126	24	)	)	PUNCT
cana-5835	126	25	,	,	PUNCT
cana-5835	126	26	where	where	SCONJ
cana-5835	126	27	𝐼𝑖𝑛	𝐼𝑖𝑛	PROPN
cana-5835	126	28	=	=	NOUN
cana-5835	126	29	1	1	NUM
cana-5835	126	30	2	2	NUM
cana-5835	126	31	𝜂휀0𝑐|𝐸0|	𝜂휀0𝑐|𝐸0|	NOUN
cana-5835	126	32	2	2	NUM
cana-5835	126	33	with	with	ADP
cana-5835	126	34	𝜂	𝜂	NOUN
cana-5835	126	35	and	and	CCONJ
cana-5835	126	36	𝑐	𝑐	NOUN
cana-5835	126	37	being	be	AUX
cana-5835	126	38	the	the	DET
cana-5835	126	39	refractive	refractive	ADJ
cana-5835	126	40	index	index	NOUN
cana-5835	126	41	of	of	ADP
cana-5835	126	42	background	background	NOUN
cana-5835	126	43	of	of	ADP
cana-5835	126	44	the	the	DET
cana-5835	126	45	crystal	crystal	NOUN
cana-5835	126	46	and	and	CCONJ
cana-5835	126	47	velocity	velocity	NOUN
cana-5835	126	48	of	of	ADP
cana-5835	126	49	light	light	NOUN
cana-5835	126	50	respectively	respectively	ADV
cana-5835	126	51	.	.	PUNCT
cana-5835	127	1	these	these	DET
cana-5835	127	2	induced	induce	VERB
cana-5835	127	3	density	density	NOUN
cana-5835	127	4	anguish	anguish	NOUN
cana-5835	127	5	affect	affect	VERB
cana-5835	127	6	the	the	DET
cana-5835	127	7	propagation	propagation	NOUN
cana-5835	127	8	aspect	aspect	NOUN
cana-5835	127	9	of	of	ADP
cana-5835	127	10	the	the	DET
cana-5835	127	11	developed	develop	VERB
cana-5835	127	12	waves	wave	NOUN
cana-5835	127	13	.	.	PUNCT
cana-5835	128	1	the	the	DET
cana-5835	128	2	induced	induced	ADJ
cana-5835	128	3	current	current	ADJ
cana-5835	128	4	density	density	NOUN
cana-5835	128	5	has	have	VERB
cana-5835	128	6	a	a	DET
cana-5835	128	7	resonance	resonance	NOUN
cana-5835	128	8	on	on	ADP
cana-5835	128	9	the	the	DET
cana-5835	128	10	stoke	stoke	NOUN
cana-5835	128	11	component	component	NOUN
cana-5835	128	12	which	which	PRON
cana-5835	128	13	is	be	AUX
cana-5835	128	14	always	always	ADV
cana-5835	128	15	given	give	VERB
cana-5835	128	16	as	as	ADP
cana-5835	128	17	𝐽1(𝜔1	𝐽1(𝜔1	NOUN
cana-5835	128	18	)	)	PUNCT
cana-5835	128	19	=	=	NOUN
cana-5835	128	20	𝑛0𝑒𝜐1	𝑛0𝑒𝜐1	NOUN
cana-5835	128	21	+	+	CCONJ
cana-5835	128	22	𝑛1𝑠	𝑛1𝑠	NOUN
cana-5835	128	23	∗	∗	NOUN
cana-5835	128	24	𝑒𝜐0	𝑒𝜐0	X
cana-5835	128	25	(	(	PUNCT
cana-5835	128	26	12	12	NUM
cana-5835	128	27	)	)	PUNCT
cana-5835	128	28	which	which	PRON
cana-5835	128	29	on	on	ADP
cana-5835	128	30	using	use	VERB
cana-5835	128	31	eq	eq	NOUN
cana-5835	128	32	(	(	PUNCT
cana-5835	128	33	11	11	NUM
cana-5835	128	34	)	)	PUNCT
cana-5835	128	35	may	may	AUX
cana-5835	128	36	be	be	AUX
cana-5835	128	37	obtained	obtain	VERB
cana-5835	128	38	as	as	ADP
cana-5835	128	39	𝐽1(𝜔1	𝐽1(𝜔1	NOUN
cana-5835	128	40	)	)	PUNCT
cana-5835	128	41	=	=	PUNCT
cana-5835	129	1	𝑖	𝑖	NOUN
cana-5835	130	1	𝜛𝑝	𝜛𝑝	NOUN
cana-5835	130	2	2	2	NUM
cana-5835	130	3	�	�	NOUN
cana-5835	130	4	̅	̅	NOUN
cana-5835	130	5	�	�	NOUN
cana-5835	130	6	+𝑛1𝑒𝑘2𝑉𝐹	+𝑛1𝑒𝑘2𝑉𝐹	NUM
cana-5835	130	7	′2	′2	X
cana-5835	130	8	𝜔1	𝜔1	ADJ
cana-5835	130	9	−	−	NOUN
cana-5835	130	10	𝑛0	𝑛0	NOUN
cana-5835	130	11	(	(	PUNCT
cana-5835	130	12	2𝜇𝐵	2𝜇𝐵	NUM
cana-5835	130	13	ℏ𝑚	ℏ𝑚	ADP
cana-5835	130	14	𝑖𝑘2	𝑖𝑘2	NOUN
cana-5835	130	15	�	�	NOUN
cana-5835	130	16	̅	̅	NOUN
cana-5835	130	17	�	�	PROPN
cana-5835	130	18	𝜔0	𝜔0	NOUN
cana-5835	130	19	𝑆𝛼0	𝑆𝛼0	NOUN
cana-5835	131	1	+	+	CCONJ
cana-5835	131	2	𝑒𝛽	𝑒𝛽	NOUN
cana-5835	131	3	𝑚	𝑚	ADP
cana-5835	131	4	𝜕2𝑢	𝜕2𝑢	PROPN
cana-5835	131	5	𝜕𝑥2	𝜕𝑥2	PROPN
cana-5835	131	6	)	)	PUNCT
cana-5835	132	1	[	[	X
cana-5835	132	2	1	1	NUM
cana-5835	132	3	−	−	NOUN
cana-5835	132	4	(	(	PUNCT
cana-5835	132	5	𝛿1	𝛿1	NOUN
cana-5835	132	6	2+𝑖𝜔𝑎𝜈)(𝛿2	2+𝑖𝜔𝑎𝜈)(𝛿2	PROPN
cana-5835	132	7	2−𝑖𝜔𝑎𝜈	2−𝑖𝜔𝑎𝜈	NUM
cana-5835	132	8	)	)	PUNCT
cana-5835	132	9	𝑘2|𝐸|	𝑘2|𝐸|	NOUN
cana-5835	132	10	2	2	NUM
cana-5835	132	11	]	]	PUNCT
cana-5835	132	12	−1	−1	NOUN
cana-5835	132	13	𝐸0	𝐸0	ADJ
cana-5835	132	14	2𝐸1(𝜔1	2𝐸1(𝜔1	NUM
cana-5835	132	15	)	)	PUNCT
cana-5835	132	16	(	(	PUNCT
cana-5835	132	17	13	13	NUM
cana-5835	132	18	)	)	PUNCT
cana-5835	132	19	the	the	DET
cana-5835	132	20	first	first	ADJ
cana-5835	132	21	term	term	NOUN
cana-5835	132	22	at	at	ADP
cana-5835	132	23	the	the	DET
cana-5835	132	24	right	right	ADJ
cana-5835	132	25	-	-	PUNCT
cana-5835	132	26	hand	hand	NOUN
cana-5835	132	27	side	side	NOUN
cana-5835	132	28	of	of	ADP
cana-5835	132	29	above	above	ADJ
cana-5835	132	30	expression	expression	NOUN
cana-5835	132	31	is	be	AUX
cana-5835	132	32	linear	linear	ADJ
cana-5835	132	33	term	term	NOUN
cana-5835	132	34	of	of	ADP
cana-5835	132	35	produced	produce	VERB
cana-5835	132	36	current	current	ADJ
cana-5835	132	37	density	density	NOUN
cana-5835	132	38	.	.	PUNCT
cana-5835	133	1	the	the	DET
cana-5835	133	2	second	second	ADJ
cana-5835	133	3	term	term	NOUN
cana-5835	133	4	holds	hold	VERB
cana-5835	133	5	the	the	DET
cana-5835	133	6	non	non	ADJ
cana-5835	133	7	-	-	ADJ
cana-5835	133	8	linear	linear	ADJ
cana-5835	133	9	density	density	NOUN
cana-5835	133	10	current	current	NOUN
cana-5835	133	11	caused	cause	VERB
cana-5835	133	12	by	by	ADP
cana-5835	133	13	the	the	DET
cana-5835	133	14	interaction	interaction	NOUN
cana-5835	133	15	of	of	ADP
cana-5835	133	16	the	the	DET
cana-5835	133	17	three	three	NUM
cana-5835	133	18	waves	wave	NOUN
cana-5835	133	19	which	which	PRON
cana-5835	133	20	interact	interact	VERB
cana-5835	133	21	with	with	ADP
cana-5835	133	22	each	each	DET
cana-5835	133	23	other	other	ADJ
cana-5835	133	24	.	.	PUNCT
cana-5835	134	1	in	in	ADP
cana-5835	134	2	deriving	derive	VERB
cana-5835	134	3	eq	eq	ADP
cana-5835	134	4	.	.	PUNCT
cana-5835	135	1	(	(	PUNCT
cana-5835	135	2	13	13	NUM
cana-5835	135	3	)	)	PUNCT
cana-5835	135	4	the	the	DET
cana-5835	135	5	contribution	contribution	NOUN
cana-5835	135	6	of	of	ADP
cana-5835	135	7	the	the	DET
cana-5835	135	8	velocities	velocity	NOUN
cana-5835	135	9	of	of	ADP
cana-5835	135	10	the	the	DET
cana-5835	135	11	oscillatory	oscillatory	ADJ
cana-5835	135	12	electron	electron	NOUN
cana-5835	135	13	fluid	fluid	NOUN
cana-5835	135	14	in	in	ADP
cana-5835	135	15	the	the	DET
cana-5835	135	16	presence	presence	NOUN
cana-5835	135	17	of	of	ADP
cana-5835	135	18	the	the	DET
cana-5835	135	19	pump	pump	NOUN
cana-5835	135	20	and	and	CCONJ
cana-5835	135	21	the	the	DET
cana-5835	135	22	disturbed	disturbed	ADJ
cana-5835	135	23	fields	field	NOUN
cana-5835	135	24	can	can	AUX
cana-5835	135	25	be	be	AUX
cana-5835	135	26	obtained	obtain	VERB
cana-5835	135	27	out	out	ADP
cana-5835	135	28	of	of	ADP
cana-5835	135	29	following	follow	VERB
cana-5835	135	30	eqs	eqs	PROPN
cana-5835	135	31	.	.	PUNCT
cana-5835	136	1	(	(	PUNCT
cana-5835	136	2	3	3	X
cana-5835	136	3	)	)	PUNCT
cana-5835	136	4	and	and	CCONJ
cana-5835	136	5	(	(	PUNCT
cana-5835	136	6	4	4	NUM
cana-5835	136	7	)	)	PUNCT
cana-5835	136	8	.	.	PUNCT
cana-5835	137	1	now	now	ADV
cana-5835	137	2	with	with	ADP
cana-5835	137	3	the	the	DET
cana-5835	137	4	induced	induced	ADJ
cana-5835	137	5	polarization	polarization	NOUN
cana-5835	137	6	𝑃𝑐𝑑	𝑃𝑐𝑑	PROPN
cana-5835	137	7	as	as	ADP
cana-5835	137	8	time	time	NOUN
cana-5835	137	9	integral	integral	ADJ
cana-5835	137	10	of	of	ADP
cana-5835	137	11	induced	induced	ADJ
cana-5835	137	12	nonlinear	nonlinear	ADJ
cana-5835	137	13	current	current	ADJ
cana-5835	137	14	density	density	NOUN
cana-5835	137	15	𝐽𝑛𝑙(𝜔1	𝐽𝑛𝑙(𝜔1	NOUN
cana-5835	137	16	)	)	PUNCT
cana-5835	137	17	,	,	PUNCT
cana-5835	137	18	using	use	VERB
cana-5835	137	19	eq	eq	ADP
cana-5835	137	20	.	.	PUNCT
cana-5835	138	1	(	(	PUNCT
cana-5835	138	2	13	13	NUM
cana-5835	138	3	)	)	PUNCT
cana-5835	138	4	we	we	PRON
cana-5835	138	5	may	may	AUX
cana-5835	138	6	obtain	obtain	VERB
cana-5835	138	7	the	the	DET
cana-5835	138	8	following	follow	VERB
cana-5835	138	9	relation	relation	NOUN
cana-5835	138	10	𝑃𝑐𝑑(𝜔1	𝑃𝑐𝑑(𝜔1	NOUN
cana-5835	138	11	)	)	PUNCT
cana-5835	139	1	=	=	PUNCT
cana-5835	140	1	[	[	PUNCT
cana-5835	140	2	𝜔𝑃	𝜔𝑃	NOUN
cana-5835	140	3	2(𝑣−𝑖𝜔0	2(𝑣−𝑖𝜔0	NUM
cana-5835	140	4	)	)	PUNCT
cana-5835	140	5	(	(	PUNCT
cana-5835	140	6	𝜔𝑐	𝜔𝑐	NOUN
cana-5835	140	7	2−𝜔0	2−𝜔0	NUM
cana-5835	140	8	2	2	NUM
cana-5835	140	9	−2𝑖𝜔0𝑣	−2𝑖𝜔0𝑣	NUM
cana-5835	140	10	)	)	PUNCT
cana-5835	140	11	]	]	PUNCT
cana-5835	141	1	(	(	PUNCT
cana-5835	141	2	2𝜇𝐵	2𝜇𝐵	NUM
cana-5835	141	3	ℏ𝑚	ℏ𝑚	ADP
cana-5835	141	4	𝑖𝑘2	𝑖𝑘2	NOUN
cana-5835	141	5	�	�	NOUN
cana-5835	141	6	̅	̅	NOUN
cana-5835	141	7	�	�	PROPN
cana-5835	141	8	𝜔0	𝜔0	NOUN
cana-5835	141	9	𝑆𝛼0	𝑆𝛼0	NOUN
cana-5835	142	1	+	+	CCONJ
cana-5835	142	2	𝑒𝛽	𝑒𝛽	NOUN
cana-5835	142	3	𝑚	𝑚	ADP
cana-5835	142	4	𝜕2𝑢	𝜕2𝑢	PROPN
cana-5835	142	5	𝜕𝑥2	𝜕𝑥2	PROPN
cana-5835	142	6	)	)	PUNCT
cana-5835	143	1	[	[	X
cana-5835	143	2	1	1	NUM
cana-5835	143	3	−	−	NOUN
cana-5835	143	4	(	(	PUNCT
cana-5835	143	5	𝛿1	𝛿1	PROPN
cana-5835	143	6	2+𝑖𝜔𝑎𝜈)(𝛿2	2+𝑖𝜔𝑎𝜈)(𝛿2	PROPN
cana-5835	143	7	2−𝑖𝜔1𝜈	2−𝑖𝜔1𝜈	NUM
cana-5835	143	8	)	)	PUNCT
cana-5835	143	9	𝑘2|𝐸|	𝑘2|𝐸|	PROPN
cana-5835	143	10	2	2	NUM
cana-5835	143	11	]	]	PUNCT
cana-5835	143	12	−1	−1	NOUN
cana-5835	143	13	𝐸0	𝐸0	ADJ
cana-5835	143	14	2𝐸1(𝜔1	2𝐸1(𝜔1	NUM
cana-5835	143	15	)	)	PUNCT
cana-5835	143	16	(	(	PUNCT
cana-5835	143	17	14	14	NUM
cana-5835	143	18	)	)	PUNCT
cana-5835	143	19	as	as	SCONJ
cana-5835	143	20	we	we	PRON
cana-5835	143	21	well	well	ADV
cana-5835	143	22	know	know	VERB
cana-5835	143	23	,	,	PUNCT
cana-5835	143	24	the	the	DET
cana-5835	143	25	sbs	sbs	NOUN
cana-5835	143	26	process	process	NOUN
cana-5835	143	27	originates	originate	NOUN
cana-5835	143	28	in	in	ADP
cana-5835	143	29	that	that	DET
cana-5835	143	30	part	part	NOUN
cana-5835	143	31	of	of	ADP
cana-5835	143	32	𝑃𝑐𝑑(𝜔1	𝑃𝑐𝑑(𝜔1	NOUN
cana-5835	143	33	)	)	PUNCT
cana-5835	143	34	which	which	PRON
cana-5835	143	35	is	be	AUX
cana-5835	143	36	proportional	proportional	ADJ
cana-5835	143	37	to	to	ADP
cana-5835	143	38	𝐸0	𝐸0	NOUN
cana-5835	143	39	2𝐸1	2𝐸1	NUM
cana-5835	143	40	,	,	PUNCT
cana-5835	143	41	with	with	ADP
cana-5835	143	42	that	that	DET
cana-5835	143	43	third	third	ADJ
cana-5835	143	44	-	-	PUNCT
cana-5835	143	45	order	order	NOUN
cana-5835	143	46	susceptibility	susceptibility	NOUN
cana-5835	143	47	being	be	AUX
cana-5835	143	48	the	the	DET
cana-5835	143	49	brillouin	brillouin	NOUN
cana-5835	143	50	susceptibility	susceptibility	NOUN
cana-5835	143	51	𝜒𝐵	𝜒𝐵	PROPN
cana-5835	143	52	(	(	PUNCT
cana-5835	143	53	3	3	NUM
cana-5835	143	54	)	)	PUNCT
cana-5835	143	55	.	.	PUNCT
cana-5835	144	1	now	now	ADV
cana-5835	144	2	the	the	DET
cana-5835	144	3	induced	induced	ADJ
cana-5835	144	4	polarization	polarization	NOUN
cana-5835	144	5	at	at	ADP
cana-5835	144	6	frequency	frequency	NOUN
cana-5835	144	7	𝜔1	𝜔1	ADJ
cana-5835	144	8	may	may	AUX
cana-5835	144	9	also	also	ADV
cana-5835	144	10	be	be	AUX
cana-5835	144	11	defined	define	VERB
cana-5835	144	12	as	as	ADP
cana-5835	144	13	𝑃𝑐𝑑(𝜔1	𝑃𝑐𝑑(𝜔1	NOUN
cana-5835	144	14	)	)	PUNCT
cana-5835	145	1	=	=	NOUN
cana-5835	145	2	휀0(𝜒𝐵	휀0(𝜒𝐵	NOUN
cana-5835	145	3	(	(	PUNCT
cana-5835	145	4	3	3	NUM
cana-5835	145	5	)	)	PUNCT
cana-5835	145	6	)	)	PUNCT
cana-5835	145	7	𝑐𝑑	𝑐𝑑	ADP
cana-5835	145	8	𝐸0	𝐸0	PROPN
cana-5835	145	9	2𝐸1(𝜔1	2𝐸1(𝜔1	NUM
cana-5835	145	10	)	)	PUNCT
cana-5835	145	11	(	(	PUNCT
cana-5835	145	12	15	15	X
cana-5835	145	13	)	)	PUNCT
cana-5835	145	14	using	use	VERB
cana-5835	145	15	eqs	eqs	PROPN
cana-5835	145	16	.	.	PUNCT
cana-5835	146	1	(	(	PUNCT
cana-5835	146	2	14	14	NUM
cana-5835	146	3	)	)	PUNCT
cana-5835	146	4	and	and	CCONJ
cana-5835	146	5	(	(	PUNCT
cana-5835	146	6	15	15	X
cana-5835	146	7	)	)	PUNCT
cana-5835	146	8	the	the	DET
cana-5835	146	9	brillouin	brillouin	NOUN
cana-5835	146	10	susceptibility	susceptibility	NOUN
cana-5835	146	11	with	with	ADP
cana-5835	146	12	quantum	quantum	ADJ
cana-5835	146	13	correction	correction	NOUN
cana-5835	146	14	becomes	become	VERB
cana-5835	146	15	(	(	PUNCT
cana-5835	146	16	𝜒𝐵	𝜒𝐵	X
cana-5835	146	17	(	(	PUNCT
cana-5835	146	18	3	3	NUM
cana-5835	146	19	)	)	PUNCT
cana-5835	146	20	)	)	PUNCT
cana-5835	146	21	𝑐𝑑	𝑐𝑑	ADP
cana-5835	146	22	=	=	PUNCT
cana-5835	146	23	[	[	PUNCT
cana-5835	146	24	𝜔𝑃	𝜔𝑃	NOUN
cana-5835	146	25	2(𝑣−𝑖𝜔0	2(𝑣−𝑖𝜔0	NUM
cana-5835	146	26	)	)	PUNCT
cana-5835	146	27	(	(	PUNCT
cana-5835	146	28	𝜔𝑐	𝜔𝑐	NOUN
cana-5835	146	29	2−𝜔0	2−𝜔0	NUM
cana-5835	146	30	2	2	NUM
cana-5835	146	31	−2𝑖𝜔0𝑣	−2𝑖𝜔0𝑣	NUM
cana-5835	146	32	)	)	PUNCT
cana-5835	146	33	]	]	PUNCT
cana-5835	147	1	(	(	PUNCT
cana-5835	147	2	2𝜇𝐵	2𝜇𝐵	NUM
cana-5835	147	3	ℏ𝑚	ℏ𝑚	ADP
cana-5835	147	4	𝑖𝑘2𝐸	𝑖𝑘2𝐸	PROPN
cana-5835	147	5	𝜔0	𝜔0	NOUN
cana-5835	147	6	𝑆𝛼0	𝑆𝛼0	NOUN
cana-5835	148	1	+	+	CCONJ
cana-5835	148	2	𝑒𝛽	𝑒𝛽	NOUN
cana-5835	148	3	𝑚	𝑚	ADP
cana-5835	148	4	𝜕2𝑢	𝜕2𝑢	PROPN
cana-5835	148	5	𝜕𝑥2	𝜕𝑥2	PROPN
cana-5835	148	6	)	)	PUNCT
cana-5835	149	1	[	[	X
cana-5835	149	2	1	1	NUM
cana-5835	149	3	−	−	NOUN
cana-5835	149	4	(	(	PUNCT
cana-5835	149	5	𝛿1	𝛿1	PROPN
cana-5835	149	6	2+𝑖𝜔𝑎𝜈)(𝛿2	2+𝑖𝜔𝑎𝜈)(𝛿2	PROPN
cana-5835	149	7	2−𝑖𝜔1𝜈	2−𝑖𝜔1𝜈	NUM
cana-5835	149	8	)	)	PUNCT
cana-5835	149	9	𝑘2|𝐸|	𝑘2|𝐸|	PROPN
cana-5835	149	10	2	2	NUM
cana-5835	149	11	]	]	SYM
cana-5835	149	12	−1	−1	NOUN
cana-5835	149	13	(	(	PUNCT
cana-5835	149	14	16	16	NUM
cana-5835	149	15	)	)	PUNCT
cana-5835	149	16	equation	equation	NOUN
cana-5835	149	17	(	(	PUNCT
cana-5835	149	18	15	15	NUM
cana-5835	149	19	)	)	PUNCT
cana-5835	149	20	actually	actually	ADV
cana-5835	149	21	represents	represent	VERB
cana-5835	149	22	the	the	DET
cana-5835	149	23	intensity	intensity	NOUN
cana-5835	149	24	dependent	dependent	ADJ
cana-5835	149	25	brillouin	brillouin	NOUN
cana-5835	149	26	susceptibility	susceptibility	NOUN
cana-5835	149	27	of	of	ADP
cana-5835	149	28	the	the	DET
cana-5835	149	29	medium	medium	NOUN
cana-5835	149	30	.	.	PUNCT
cana-5835	150	1	one	one	PRON
cana-5835	150	2	may	may	AUX
cana-5835	150	3	infer	infer	VERB
cana-5835	150	4	from	from	ADP
cana-5835	150	5	it	it	PRON
cana-5835	150	6	that	that	SCONJ
cana-5835	150	7	(	(	PUNCT
cana-5835	150	8	𝜒𝐵	𝜒𝐵	X
cana-5835	150	9	(	(	PUNCT
cana-5835	150	10	3	3	NUM
cana-5835	150	11	)	)	PUNCT
cana-5835	150	12	)	)	PUNCT
cana-5835	150	13	𝑐𝑑	𝑐𝑑	ADP
cana-5835	150	14	is	be	AUX
cana-5835	150	15	dependent	dependent	ADJ
cana-5835	150	16	upon	upon	SCONJ
cana-5835	150	17	material	material	NOUN
cana-5835	150	18	parameters	parameter	NOUN
cana-5835	150	19	,	,	PUNCT
cana-5835	150	20	including	include	VERB
cana-5835	150	21	equilibrium	equilibrium	NOUN
cana-5835	150	22	carrier	carrier	NOUN
cana-5835	150	23	density	density	PROPN
cana-5835	150	24	n0	n0	X
cana-5835	150	25	through	through	ADP
cana-5835	150	26	the	the	DET
cana-5835	150	27	electron	electron	NOUN
cana-5835	150	28	plasma	plasma	NOUN
cana-5835	150	29	frequency	frequency	NOUN
cana-5835	150	30	𝜔𝑝.	𝜔𝑝.	PROPN
cana-5835	150	31	communications	communication	NOUN
cana-5835	150	32	on	on	ADP
cana-5835	150	33	applied	apply	VERB
cana-5835	150	34	nonlinear	nonlinear	ADJ
cana-5835	150	35	analysis	analysis	NOUN
cana-5835	150	36	issn	issn	NOUN
cana-5835	150	37	:	:	PUNCT
cana-5835	150	38	1074	1074	NUM
cana-5835	150	39	-	-	PUNCT
cana-5835	150	40	133x	133x	NUM
cana-5835	150	41	vol	vol	NOUN
cana-5835	150	42	32	32	NUM
cana-5835	150	43	no	no	NOUN
cana-5835	150	44	.	.	NOUN
cana-5835	150	45	1	1	NUM
cana-5835	150	46	(	(	PUNCT
cana-5835	150	47	2025	2025	NUM
cana-5835	150	48	)	)	PUNCT
cana-5835	151	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-5835	151	2	571	571	NUM
cana-5835	151	3	the	the	DET
cana-5835	151	4	brillouin	brillouin	NOUN
cana-5835	151	5	susceptibility	susceptibility	NOUN
cana-5835	151	6	in	in	ADP
cana-5835	151	7	equation	equation	NOUN
cana-5835	151	8	(	(	PUNCT
cana-5835	151	9	16	16	NUM
cana-5835	151	10	)	)	PUNCT
cana-5835	151	11	contains	contain	VERB
cana-5835	151	12	nonlinear	nonlinear	ADJ
cana-5835	151	13	dependencies	dependency	NOUN
cana-5835	151	14	on	on	ADP
cana-5835	151	15	the	the	DET
cana-5835	151	16	spin	spin	NOUN
cana-5835	151	17	polarization	polarization	NOUN
cana-5835	151	18	𝜂	𝜂	NOUN
cana-5835	151	19	,	,	PUNCT
cana-5835	151	20	carrier	carrier	NOUN
cana-5835	151	21	density	density	PROPN
cana-5835	151	22	𝑛	𝑛	PROPN
cana-5835	151	23	,	,	PUNCT
cana-5835	151	24	and	and	CCONJ
cana-5835	151	25	field	field	NOUN
cana-5835	151	26	intensity	intensity	NOUN
cana-5835	151	27	𝐸0	𝐸0	NOUN
cana-5835	151	28	.	.	PUNCT
cana-5835	152	1	these	these	DET
cana-5835	152	2	nonlinearities	nonlinearitie	NOUN
cana-5835	152	3	directly	directly	ADV
cana-5835	152	4	influence	influence	VERB
cana-5835	152	5	the	the	DET
cana-5835	152	6	threshold	threshold	NOUN
cana-5835	152	7	behavior	behavior	NOUN
cana-5835	152	8	and	and	CCONJ
cana-5835	152	9	gain	gain	VERB
cana-5835	152	10	properties	property	NOUN
cana-5835	152	11	of	of	ADP
cana-5835	152	12	the	the	DET
cana-5835	152	13	medium	medium	NOUN
cana-5835	152	14	.	.	PUNCT
cana-5835	153	1	he	he	PRON
cana-5835	153	2	-	-	PUNCT
cana-5835	153	3	liu	liu	PROPN
cana-5835	154	1	[	[	X
cana-5835	154	2	23	23	NUM
cana-5835	154	3	]	]	PUNCT
cana-5835	154	4	reported	report	VERB
cana-5835	154	5	that	that	SCONJ
cana-5835	154	6	the	the	DET
cana-5835	154	7	nonzero	nonzero	NOUN
cana-5835	154	8	induced	induced	ADJ
cana-5835	154	9	polarization	polarization	NOUN
cana-5835	154	10	directly	directly	ADV
cana-5835	154	11	gives	give	VERB
cana-5835	154	12	the	the	DET
cana-5835	154	13	onset	onset	NOUN
cana-5835	154	14	of	of	ADP
cana-5835	154	15	sbs	sbs	NOUN
cana-5835	154	16	.	.	PUNCT
cana-5835	155	1	hence	hence	ADV
cana-5835	155	2	following	follow	VERB
cana-5835	155	3	he	he	PRON
cana-5835	155	4	-	-	PUNCT
cana-5835	155	5	liu	liu	PROPN
cana-5835	155	6	and	and	CCONJ
cana-5835	155	7	others	other	NOUN
cana-5835	155	8	,	,	PUNCT
cana-5835	155	9	from	from	ADP
cana-5835	155	10	the	the	DET
cana-5835	155	11	eq	eq	NOUN
cana-5835	155	12	.	.	PUNCT
cana-5835	156	1	(	(	PUNCT
cana-5835	156	2	14	14	NUM
cana-5835	156	3	)	)	PUNCT
cana-5835	156	4	we	we	PRON
cana-5835	156	5	can	can	AUX
cana-5835	156	6	find	find	VERB
cana-5835	156	7	out	out	ADP
cana-5835	156	8	what	what	PRON
cana-5835	156	9	the	the	DET
cana-5835	156	10	character	character	NOUN
cana-5835	156	11	of	of	ADP
cana-5835	156	12	the	the	DET
cana-5835	156	13	threshold	threshold	NOUN
cana-5835	156	14	leading	lead	VERB
cana-5835	156	15	to	to	ADP
cana-5835	156	16	the	the	DET
cana-5835	156	17	occurrence	occurrence	NOUN
cana-5835	156	18	of	of	ADP
cana-5835	156	19	sbs	sbs	NOUN
cana-5835	156	20	by	by	ADP
cana-5835	156	21	setting𝑃𝑐𝑑(𝜔1	setting𝑃𝑐𝑑(𝜔1	NOUN
cana-5835	156	22	)	)	PUNCT
cana-5835	156	23	=	=	PUNCT
cana-5835	156	24	0as	0as	NOUN
cana-5835	156	25	.	.	PUNCT
cana-5835	157	1	this	this	DET
cana-5835	157	2	threshold	threshold	NOUN
cana-5835	157	3	corresponds	correspond	VERB
cana-5835	157	4	to	to	ADP
cana-5835	157	5	the	the	DET
cana-5835	157	6	vanishing	vanish	VERB
cana-5835	157	7	nonlinear	nonlinear	ADJ
cana-5835	157	8	polarization	polarization	NOUN
cana-5835	157	9	condition	condition	NOUN
cana-5835	157	10	defined	define	VERB
cana-5835	157	11	in	in	ADP
cana-5835	157	12	eq	eq	ADP
cana-5835	157	13	.	.	PUNCT
cana-5835	158	1	(	(	PUNCT
cana-5835	158	2	17	17	NUM
cana-5835	158	3	)	)	PUNCT
cana-5835	158	4	.	.	PUNCT
cana-5835	159	1	|𝐸𝑜𝑡ℎ|	|𝐸𝑜𝑡ℎ|	PROPN
cana-5835	159	2	=	=	PUNCT
cana-5835	160	1	𝑚	𝑚	X
cana-5835	160	2	𝑒𝑘	𝑒𝑘	PRON
cana-5835	160	3	√(𝛿1	√(𝛿1	PROPN
cana-5835	160	4	2	2	NUM
cana-5835	160	5	+	+	CCONJ
cana-5835	160	6	𝑖𝜔𝑎𝜈)(𝛿2	𝑖𝜔𝑎𝜈)(𝛿2	PROPN
cana-5835	160	7	2	2	NUM
cana-5835	160	8	−	−	PROPN
cana-5835	160	9	𝑖𝜔1𝜈	𝑖𝜔1𝜈	NUM
cana-5835	160	10	)	)	PUNCT
cana-5835	160	11	(	(	PUNCT
cana-5835	160	12	17	17	NUM
cana-5835	160	13	)	)	PUNCT
cana-5835	160	14	the	the	DET
cana-5835	160	15	threshold	threshold	NOUN
cana-5835	160	16	pump	pump	NOUN
cana-5835	160	17	field	field	NOUN
cana-5835	160	18	as	as	SCONJ
cana-5835	160	19	the	the	DET
cana-5835	160	20	sbs	sbs	NOUN
cana-5835	160	21	starts	start	VERB
cana-5835	160	22	is	be	AUX
cana-5835	160	23	highly	highly	ADV
cana-5835	160	24	perturbed	perturb	VERB
cana-5835	160	25	by	by	ADP
cana-5835	160	26	the	the	DET
cana-5835	160	27	quantum	quantum	ADJ
cana-5835	160	28	correction	correction	NOUN
cana-5835	160	29	with	with	ADP
cana-5835	160	30	𝛿1	𝛿1	PROPN
cana-5835	160	31	2	2	NUM
cana-5835	160	32	and	and	CCONJ
cana-5835	160	33	𝛿2	𝛿2	PROPN
cana-5835	160	34	2	2	NUM
cana-5835	160	35	.	.	PUNCT
cana-5835	161	1	so	so	ADV
cana-5835	161	2	the	the	DET
cana-5835	161	3	relations	relation	NOUN
cana-5835	161	4	inside	inside	ADP
cana-5835	161	5	the	the	DET
cana-5835	161	6	pump	pump	NOUN
cana-5835	161	7	and	and	CCONJ
cana-5835	161	8	centrosymmetric	centrosymmetric	NOUN
cana-5835	161	9	crystal	crystal	NOUN
cana-5835	161	10	will	will	AUX
cana-5835	161	11	be	be	AUX
cana-5835	161	12	determined	determine	VERB
cana-5835	161	13	by	by	ADP
cana-5835	161	14	the	the	DET
cana-5835	161	15	mechanisms	mechanism	NOUN
cana-5835	161	16	of	of	ADP
cana-5835	161	17	stimulated	stimulate	VERB
cana-5835	161	18	brillouin	brillouin	NOUN
cana-5835	161	19	scattering	scattering	NOUN
cana-5835	161	20	at	at	ADP
cana-5835	161	21	the	the	DET
cana-5835	161	22	power	power	NOUN
cana-5835	161	23	level	level	NOUN
cana-5835	161	24	of	of	ADP
cana-5835	161	25	the	the	DET
cana-5835	161	26	pump	pump	NOUN
cana-5835	161	27	which	which	PRON
cana-5835	161	28	is	be	AUX
cana-5835	161	29	many	many	ADJ
cana-5835	161	30	times	time	NOUN
cana-5835	161	31	exceeds	exceed	VERB
cana-5835	161	32	the	the	DET
cana-5835	161	33	power	power	NOUN
cana-5835	161	34	level	level	NOUN
cana-5835	161	35	of	of	ADP
cana-5835	161	36	the	the	DET
cana-5835	161	37	threshold	threshold	NOUN
cana-5835	161	38	field	field	NOUN
cana-5835	161	39	𝐸oth	𝐸oth	PROPN
cana-5835	161	40	.so	.so	PUNCT
cana-5835	161	41	the	the	DET
cana-5835	161	42	acoustical	acoustical	ADJ
cana-5835	161	43	and	and	CCONJ
cana-5835	161	44	the	the	DET
cana-5835	161	45	scattered	scatter	VERB
cana-5835	161	46	optical	optical	ADJ
cana-5835	161	47	beam	beam	NOUN
cana-5835	161	48	are	be	AUX
cana-5835	161	49	released	release	VERB
cana-5835	161	50	in	in	ADP
cana-5835	161	51	fixed	fix	VERB
cana-5835	161	52	directions	direction	NOUN
cana-5835	161	53	,	,	PUNCT
cana-5835	161	54	and	and	CCONJ
cana-5835	161	55	can	can	AUX
cana-5835	161	56	only	only	ADV
cana-5835	161	57	be	be	AUX
cana-5835	161	58	created	create	VERB
cana-5835	161	59	above	above	ADP
cana-5835	161	60	𝐸oth	𝐸oth	PROPN
cana-5835	161	61	but	but	CCONJ
cana-5835	161	62	in	in	ADP
cana-5835	161	63	the	the	DET
cana-5835	161	64	common	common	ADJ
cana-5835	161	65	dielectric	dielectric	ADJ
cana-5835	161	66	media	medium	NOUN
cana-5835	161	67	,	,	PUNCT
cana-5835	161	68	the	the	DET
cana-5835	161	69	effect	effect	NOUN
cana-5835	161	70	of	of	ADP
cana-5835	161	71	beam	beam	NOUN
cana-5835	161	72	trapping	trap	VERB
cana-5835	161	73	causes	cause	VERB
cana-5835	161	74	the	the	DET
cana-5835	161	75	intensities	intensity	NOUN
cana-5835	161	76	to	to	PART
cana-5835	161	77	rise	rise	VERB
cana-5835	161	78	above	above	ADP
cana-5835	161	79	the	the	DET
cana-5835	161	80	critical	critical	ADJ
cana-5835	161	81	threshold	threshold	NOUN
cana-5835	161	82	of	of	ADP
cana-5835	161	83	sbs	sbs	NOUN
cana-5835	161	84	at	at	ADP
cana-5835	161	85	relatively	relatively	ADV
cana-5835	161	86	modest	modest	ADJ
cana-5835	161	87	input	input	NOUN
cana-5835	161	88	powers	power	NOUN
cana-5835	161	89	.	.	PUNCT
cana-5835	162	1	consequently	consequently	ADV
cana-5835	162	2	,	,	PUNCT
cana-5835	162	3	the	the	DET
cana-5835	162	4	threshold	threshold	NOUN
cana-5835	162	5	experimentally	experimentally	ADV
cana-5835	162	6	measured	measure	VERB
cana-5835	162	7	in	in	ADP
cana-5835	162	8	majority	majority	NOUN
cana-5835	162	9	of	of	ADP
cana-5835	162	10	semiconductor	semiconductor	NOUN
cana-5835	162	11	materials	material	NOUN
cana-5835	162	12	encompasses	encompass	VERB
cana-5835	162	13	beam	beam	NOUN
cana-5835	162	14	trapping	trap	VERB
cana-5835	162	15	[	[	X
cana-5835	162	16	24	24	NUM
cana-5835	162	17	]	]	PUNCT
cana-5835	162	18	.	.	PUNCT
cana-5835	163	1	the	the	DET
cana-5835	163	2	electrostrictive	electrostrictive	ADJ
cana-5835	163	3	strain	strain	NOUN
cana-5835	163	4	interacts	interact	VERB
cana-5835	163	5	with	with	ADP
cana-5835	163	6	the	the	DET
cana-5835	163	7	pump	pump	NOUN
cana-5835	163	8	wave	wave	NOUN
cana-5835	163	9	into	into	ADP
cana-5835	163	10	the	the	DET
cana-5835	163	11	brillouin	brillouin	NOUN
cana-5835	163	12	active	active	ADJ
cana-5835	163	13	media	medium	NOUN
cana-5835	163	14	generating	generate	VERB
cana-5835	163	15	an	an	DET
cana-5835	163	16	electrostrictive	electrostrictive	ADJ
cana-5835	163	17	polarization	polarization	NOUN
cana-5835	163	18	𝑃𝑒𝑠(𝜔1	𝑃𝑒𝑠(𝜔1	NOUN
cana-5835	163	19	)	)	PUNCT
cana-5835	163	20	.	.	PUNCT
cana-5835	164	1	therefore	therefore	ADV
cana-5835	164	2	,	,	PUNCT
cana-5835	164	3	in	in	ADP
cana-5835	164	4	addition	addition	NOUN
cana-5835	164	5	to	to	ADP
cana-5835	164	6	the	the	DET
cana-5835	164	7	induced	induced	ADJ
cana-5835	164	8	polarization	polarization	NOUN
cana-5835	164	9	that	that	PRON
cana-5835	164	10	is	be	AUX
cana-5835	164	11	not	not	PART
cana-5835	164	12	linear	linear	ADJ
cana-5835	164	13	,	,	PUNCT
cana-5835	164	14	because	because	SCONJ
cana-5835	164	15	of	of	ADP
cana-5835	164	16	the	the	DET
cana-5835	164	17	disturbed	disturbed	ADJ
cana-5835	164	18	current	current	ADJ
cana-5835	164	19	density	density	NOUN
cana-5835	164	20	,	,	PUNCT
cana-5835	164	21	the	the	DET
cana-5835	164	22	system	system	NOUN
cana-5835	164	23	ought	ought	AUX
cana-5835	164	24	to	to	PART
cana-5835	164	25	have	have	VERB
cana-5835	164	26	electrostrictive	electrostrictive	ADJ
cana-5835	164	27	polarization	polarization	NOUN
cana-5835	164	28	.	.	PUNCT
cana-5835	165	1	this	this	DET
cana-5835	165	2	electrostrictive	electrostrictive	ADJ
cana-5835	165	3	polarization	polarization	NOUN
cana-5835	165	4	𝑃𝑒𝑠(𝜔1	𝑃𝑒𝑠(𝜔1	NOUN
cana-5835	165	5	)	)	PUNCT
cana-5835	165	6	is	be	AUX
cana-5835	165	7	derived	derive	VERB
cana-5835	165	8	as	as	ADP
cana-5835	165	9	one	one	NUM
cana-5835	165	10	of	of	ADP
cana-5835	165	11	the	the	DET
cana-5835	165	12	applications	application	NOUN
cana-5835	165	13	from	from	ADP
cana-5835	165	14	the	the	DET
cana-5835	165	15	following	follow	VERB
cana-5835	165	16	equations	equation	NOUN
cana-5835	165	17	(	(	PUNCT
cana-5835	165	18	6	6	NUM
cana-5835	165	19	)	)	PUNCT
cana-5835	165	20	and	and	CCONJ
cana-5835	165	21	(	(	PUNCT
cana-5835	165	22	7	7	X
cana-5835	165	23	)	)	PUNCT
cana-5835	165	24	as	as	ADP
cana-5835	165	25	𝑃𝑒𝑠(𝜔1	𝑃𝑒𝑠(𝜔1	NOUN
cana-5835	165	26	)	)	PUNCT
cana-5835	166	1	=	=	PUNCT
cana-5835	167	1	−𝛾2𝑘2𝐸0	−𝛾2𝑘2𝐸0	NUM
cana-5835	167	2	2𝐸1(𝜔1	2𝐸1(𝜔1	NUM
cana-5835	167	3	)	)	PUNCT
cana-5835	167	4	2𝜌(𝜔𝑎	2𝜌(𝜔𝑎	NUM
cana-5835	167	5	2−𝑘2𝜐𝑎	2−𝑘2𝜐𝑎	NUM
cana-5835	167	6	2−2𝑖𝛤𝑎𝜔𝑎	2−2𝑖𝛤𝑎𝜔𝑎	NUM
cana-5835	167	7	)	)	PUNCT
cana-5835	168	1	=	=	NOUN
cana-5835	168	2	휀0(𝜒𝐵	휀0(𝜒𝐵	NOUN
cana-5835	168	3	(	(	PUNCT
cana-5835	168	4	3	3	NUM
cana-5835	168	5	)	)	PUNCT
cana-5835	168	6	)	)	PUNCT
cana-5835	168	7	𝑒𝑠	𝑒𝑠	PROPN
cana-5835	168	8	𝐸0	𝐸0	PROPN
cana-5835	168	9	2𝐸1(𝜔1	2𝐸1(𝜔1	NUM
cana-5835	168	10	)	)	PUNCT
cana-5835	168	11	(	(	PUNCT
cana-5835	168	12	18	18	NUM
cana-5835	168	13	)	)	PUNCT
cana-5835	168	14	an	an	DET
cana-5835	168	15	induced	induced	ADJ
cana-5835	168	16	nonlinear	nonlinear	ADJ
cana-5835	168	17	polarization	polarization	NOUN
cana-5835	168	18	per	per	ADP
cana-5835	168	19	unit	unit	NOUN
cana-5835	168	20	volume	volume	NOUN
cana-5835	168	21	is	be	AUX
cana-5835	168	22	proportional	proportional	ADJ
cana-5835	168	23	to	to	ADP
cana-5835	168	24	𝐸0	𝐸0	PROPN
cana-5835	168	25	2𝐸1(𝜔1	2𝐸1(𝜔1	NUM
cana-5835	168	26	)	)	PUNCT
cana-5835	168	27	n	n	CCONJ
cana-5835	168	28	a	a	DET
cana-5835	168	29	centrosymmetric	centrosymmetric	NOUN
cana-5835	168	30	crystal	crystal	NOUN
cana-5835	168	31	doped	dope	VERB
cana-5835	168	32	,	,	PUNCT
cana-5835	168	33	in	in	ADP
cana-5835	168	34	which	which	PRON
cana-5835	168	35	the	the	DET
cana-5835	168	36	electrostrictive	electrostrictive	ADJ
cana-5835	168	37	terms	term	NOUN
cana-5835	168	38	contributing	contribute	VERB
cana-5835	168	39	to	to	ADP
cana-5835	168	40	the	the	DET
cana-5835	168	41	nonzero	nonzero	NOUN
cana-5835	168	42	coupling	coupling	NOUN
cana-5835	168	43	to	to	ADP
cana-5835	168	44	the	the	DET
cana-5835	168	45	square	square	ADJ
cana-5835	168	46	power	power	NOUN
cana-5835	168	47	are	be	AUX
cana-5835	168	48	only	only	ADV
cana-5835	168	49	of	of	ADP
cana-5835	168	50	second	second	ADJ
cana-5835	168	51	order	order	NOUN
cana-5835	168	52	is	be	AUX
cana-5835	168	53	:	:	PUNCT
cana-5835	168	54	𝑃𝑛𝑙(𝜔1	𝑃𝑛𝑙(𝜔1	ADJ
cana-5835	168	55	)	)	PUNCT
cana-5835	168	56	=	=	SYM
cana-5835	168	57	𝑃𝑒𝑠(𝜔1	𝑃𝑒𝑠(𝜔1	NOUN
cana-5835	168	58	)	)	PUNCT
cana-5835	168	59	+	+	CCONJ
cana-5835	168	60	𝑃𝑐𝑑(𝜔1	𝑃𝑐𝑑(𝜔1	NOUN
cana-5835	168	61	)	)	PUNCT
cana-5835	168	62	=	=	SYM
cana-5835	168	63	𝐸0	𝐸0	PROPN
cana-5835	168	64	2𝐸1(𝜔1	2𝐸1(𝜔1	NUM
cana-5835	168	65	)	)	PUNCT
cana-5835	169	1	[	[	PUNCT
cana-5835	169	2	−𝛾2𝑘2	−𝛾2𝑘2	PROPN
cana-5835	169	3	2𝜌(𝜔𝑎	2𝜌(𝜔𝑎	NUM
cana-5835	169	4	2−𝑘2𝜐𝑎	2−𝑘2𝜐𝑎	NUM
cana-5835	169	5	2−2𝑖𝛤𝑎𝜔𝑎	2−2𝑖𝛤𝑎𝜔𝑎	NUM
cana-5835	169	6	)	)	PUNCT
cana-5835	170	1	+	+	CCONJ
cana-5835	170	2	𝜔𝑃	𝜔𝑃	PROPN
cana-5835	170	3	2(𝑣−𝑖𝜔0	2(𝑣−𝑖𝜔0	NUM
cana-5835	170	4	)	)	PUNCT
cana-5835	170	5	(	(	PUNCT
cana-5835	170	6	𝜔𝑐	𝜔𝑐	NOUN
cana-5835	170	7	2−𝜔0	2−𝜔0	NUM
cana-5835	170	8	2	2	NUM
cana-5835	170	9	−2𝑖𝜔0𝑣	−2𝑖𝜔0𝑣	NUM
cana-5835	170	10	)	)	PUNCT
cana-5835	170	11	]	]	PUNCT
cana-5835	171	1	(	(	PUNCT
cana-5835	171	2	2𝜇𝐵	2𝜇𝐵	NUM
cana-5835	171	3	ℏ𝑚	ℏ𝑚	ADP
cana-5835	171	4	𝑖𝑘2𝐸	𝑖𝑘2𝐸	PROPN
cana-5835	171	5	𝜔0	𝜔0	NOUN
cana-5835	171	6	𝑆𝛼0	𝑆𝛼0	NOUN
cana-5835	172	1	+	+	CCONJ
cana-5835	172	2	𝑒𝛽	𝑒𝛽	NOUN
cana-5835	172	3	𝑚	𝑚	ADP
cana-5835	172	4	𝜕2𝑢	𝜕2𝑢	PROPN
cana-5835	172	5	𝜕𝑥2	𝜕𝑥2	PROPN
cana-5835	172	6	)	)	PUNCT
cana-5835	173	1	[	[	X
cana-5835	173	2	1	1	NUM
cana-5835	173	3	−	−	NOUN
cana-5835	173	4	(	(	PUNCT
cana-5835	173	5	𝛿1	𝛿1	PROPN
cana-5835	173	6	2+𝑖𝜔𝑎𝜈)(𝛿2	2+𝑖𝜔𝑎𝜈)(𝛿2	PROPN
cana-5835	173	7	2−𝑖𝜔1𝜈	2−𝑖𝜔1𝜈	NUM
cana-5835	173	8	)	)	PUNCT
cana-5835	173	9	𝑘2|𝐸|	𝑘2|𝐸|	PROPN
cana-5835	173	10	2	2	NUM
cana-5835	173	11	]	]	SYM
cana-5835	173	12	−1	−1	NOUN
cana-5835	173	13	=	=	SYM
cana-5835	173	14	휀0𝜒𝐵	휀0𝜒𝐵	ADJ
cana-5835	173	15	(	(	PUNCT
cana-5835	173	16	3	3	NUM
cana-5835	173	17	)	)	PUNCT
cana-5835	173	18	𝐸0	𝐸0	NOUN
cana-5835	173	19	2𝐸1(𝜔1	2𝐸1(𝜔1	NUM
cana-5835	173	20	)	)	PUNCT
cana-5835	173	21	(	(	PUNCT
cana-5835	173	22	19	19	NUM
cana-5835	173	23	)	)	PUNCT
cana-5835	173	24	hence	hence	ADV
cana-5835	173	25	the	the	DET
cana-5835	173	26	total	total	ADJ
cana-5835	173	27	third	third	ADJ
cana-5835	173	28	order	order	NOUN
cana-5835	173	29	brillouin	brillouin	NOUN
cana-5835	173	30	susceptibility	susceptibility	NOUN
cana-5835	173	31	can	can	AUX
cana-5835	173	32	be	be	AUX
cana-5835	173	33	obtained	obtain	VERB
cana-5835	173	34	from	from	ADP
cana-5835	173	35	eq	eq	PROPN
cana-5835	173	36	.	.	PUNCT
cana-5835	174	1	(	(	PUNCT
cana-5835	174	2	19	19	NUM
cana-5835	174	3	)	)	PUNCT
cana-5835	174	4	as	as	ADP
cana-5835	174	5	(	(	PUNCT
cana-5835	174	6	𝜒𝐵	𝜒𝐵	X
cana-5835	174	7	(	(	PUNCT
cana-5835	174	8	3	3	NUM
cana-5835	174	9	)	)	PUNCT
cana-5835	174	10	)	)	PUNCT
cana-5835	175	1	=	=	PUNCT
cana-5835	175	2	[	[	PUNCT
cana-5835	175	3	−𝛾2𝑘2	−𝛾2𝑘2	PROPN
cana-5835	175	4	2𝜌(𝜔𝑎	2𝜌(𝜔𝑎	NUM
cana-5835	175	5	2−𝑘2𝜐𝑎	2−𝑘2𝜐𝑎	NUM
cana-5835	175	6	2−2𝑖𝛤𝑎𝜔𝑎	2−2𝑖𝛤𝑎𝜔𝑎	NUM
cana-5835	175	7	)	)	PUNCT
cana-5835	175	8	+	+	CCONJ
cana-5835	175	9	𝜔𝑃	𝜔𝑃	PROPN
cana-5835	175	10	2(𝑣−𝑖𝜔0	2(𝑣−𝑖𝜔0	NUM
cana-5835	175	11	)	)	PUNCT
cana-5835	175	12	(	(	PUNCT
cana-5835	175	13	𝜔𝑐	𝜔𝑐	NOUN
cana-5835	175	14	2−𝜔0	2−𝜔0	NUM
cana-5835	175	15	2	2	NUM
cana-5835	175	16	−2𝑖𝜔0𝑣	−2𝑖𝜔0𝑣	NUM
cana-5835	175	17	)	)	PUNCT
cana-5835	175	18	]	]	PUNCT
cana-5835	176	1	(	(	PUNCT
cana-5835	176	2	2𝜇𝐵	2𝜇𝐵	NUM
cana-5835	176	3	ℏ𝑚	ℏ𝑚	ADP
cana-5835	176	4	𝑖𝑘2𝐸	𝑖𝑘2𝐸	PROPN
cana-5835	176	5	𝜔0	𝜔0	NOUN
cana-5835	176	6	𝑆𝛼0	𝑆𝛼0	NOUN
cana-5835	177	1	+	+	CCONJ
cana-5835	177	2	𝑒𝛽	𝑒𝛽	NOUN
cana-5835	177	3	𝑚	𝑚	ADP
cana-5835	177	4	𝜕2𝑢	𝜕2𝑢	PROPN
cana-5835	177	5	𝜕𝑥2	𝜕𝑥2	PROPN
cana-5835	177	6	)	)	PUNCT
cana-5835	178	1	[	[	X
cana-5835	178	2	1	1	NUM
cana-5835	178	3	−	−	PROPN
cana-5835	178	4	⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡	⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡	PROPN
cana-5835	178	5	(	(	PUNCT
cana-5835	178	6	𝛿1	𝛿1	PROPN
cana-5835	178	7	2+𝑖𝜔𝑎𝜈)(𝛿2	2+𝑖𝜔𝑎𝜈)(𝛿2	PROPN
cana-5835	178	8	2−𝑖𝜔1𝜈	2−𝑖𝜔1𝜈	NUM
cana-5835	178	9	)	)	PUNCT
cana-5835	178	10	𝑘2|𝐸|	𝑘2|𝐸|	PROPN
cana-5835	178	11	2	2	NUM
cana-5835	178	12	]	]	SYM
cana-5835	178	13	−1	−1	NOUN
cana-5835	178	14	(	(	PUNCT
cana-5835	178	15	20	20	NUM
cana-5835	178	16	)	)	PUNCT
cana-5835	178	17	where	where	SCONJ
cana-5835	178	18	𝜒𝐵	𝜒𝐵	X
cana-5835	178	19	(	(	PUNCT
cana-5835	178	20	3	3	NUM
cana-5835	178	21	)	)	PUNCT
cana-5835	178	22	=	=	NOUN
cana-5835	178	23	𝜒𝐵𝑟	𝜒𝐵𝑟	NOUN
cana-5835	178	24	(	(	PUNCT
cana-5835	178	25	3	3	NUM
cana-5835	178	26	)	)	PUNCT
cana-5835	178	27	+	+	PUNCT
cana-5835	178	28	𝜒𝐵𝑖	𝜒𝐵𝑖	NOUN
cana-5835	178	29	(	(	PUNCT
cana-5835	178	30	3	3	NUM
cana-5835	178	31	)	)	PUNCT
cana-5835	178	32	,	,	PUNCT
cana-5835	178	33	the	the	DET
cana-5835	178	34	quantities	quantity	NOUN
cana-5835	178	35	are	be	AUX
cana-5835	178	36	written	write	VERB
cana-5835	178	37	with	with	ADP
cana-5835	178	38	subscripts	subscript	NOUN
cana-5835	178	39	𝑟	𝑟	NOUN
cana-5835	178	40	and	and	CCONJ
cana-5835	178	41	𝑖	𝑖	CCONJ
cana-5835	178	42	,	,	PUNCT
cana-5835	178	43	hence	hence	ADV
cana-5835	178	44	signifying	signify	VERB
cana-5835	178	45	real	real	ADJ
cana-5835	178	46	and	and	CCONJ
cana-5835	178	47	imaginary	imaginary	ADJ
cana-5835	178	48	parts	part	NOUN
cana-5835	178	49	respectively	respectively	ADV
cana-5835	178	50	.	.	PUNCT
cana-5835	179	1	the	the	DET
cana-5835	179	2	primary	primary	ADJ
cana-5835	179	3	aim	aim	NOUN
cana-5835	179	4	of	of	ADP
cana-5835	179	5	the	the	DET
cana-5835	179	6	present	present	ADJ
cana-5835	179	7	article	article	NOUN
cana-5835	179	8	is	be	AUX
cana-5835	179	9	to	to	PART
cana-5835	179	10	take	take	VERB
cana-5835	179	11	into	into	ADP
cana-5835	179	12	consideration	consideration	NOUN
cana-5835	179	13	the	the	DET
cana-5835	179	14	sensitivity	sensitivity	NOUN
cana-5835	179	15	of	of	ADP
cana-5835	179	16	the	the	DET
cana-5835	179	17	threshold	threshold	NOUN
cana-5835	179	18	power	power	NOUN
cana-5835	179	19	sbs	sbs	NOUN
cana-5835	179	20	and	and	CCONJ
cana-5835	179	21	the	the	DET
cana-5835	179	22	gain	gain	NOUN
cana-5835	179	23	coefficient	coefficient	NOUN
cana-5835	179	24	of	of	ADP
cana-5835	179	25	the	the	DET
cana-5835	179	26	backward	backward	ADJ
cana-5835	179	27	scattered	scatter	VERB
cana-5835	179	28	mode	mode	NOUN
cana-5835	179	29	brillouin	brillouin	NOUN
cana-5835	179	30	𝑔𝐵	𝑔𝐵	PROPN
cana-5835	179	31	in	in	ADP
cana-5835	179	32	doing	do	VERB
cana-5835	179	33	so	so	ADV
cana-5835	179	34	,	,	PUNCT
cana-5835	179	35	the	the	DET
cana-5835	179	36	following	follow	VERB
cana-5835	179	37	expression	expression	NOUN
cana-5835	179	38	[	[	X
cana-5835	179	39	25	25	NUM
cana-5835	179	40	]	]	PUNCT
cana-5835	179	41	is	be	AUX
cana-5835	179	42	used	use	VERB
cana-5835	179	43	𝑔𝐵	𝑔𝐵	NOUN
cana-5835	179	44	=	=	PUNCT
cana-5835	180	1	−	−	PROPN
cana-5835	180	2	𝑘	𝑘	PRON
cana-5835	180	3	2	2	NUM
cana-5835	180	4	1	1	NUM
cana-5835	180	5	[	[	X
cana-5835	180	6	𝜒𝐵𝑖	𝜒𝐵𝑖	NOUN
cana-5835	180	7	(	(	PUNCT
cana-5835	180	8	3	3	NUM
cana-5835	180	9	)	)	PUNCT
cana-5835	180	10	]	]	PUNCT
cana-5835	181	1	|𝐸0|	|𝐸0|	NUM
cana-5835	181	2	2	2	NUM
cana-5835	181	3	(	(	PUNCT
cana-5835	181	4	21	21	NUM
cana-5835	181	5	)	)	PUNCT
cana-5835	181	6	communications	communication	NOUN
cana-5835	181	7	on	on	ADP
cana-5835	181	8	applied	apply	VERB
cana-5835	181	9	nonlinear	nonlinear	ADJ
cana-5835	181	10	analysis	analysis	NOUN
cana-5835	181	11	issn	issn	NOUN
cana-5835	181	12	:	:	PUNCT
cana-5835	181	13	1074	1074	NUM
cana-5835	181	14	-	-	PUNCT
cana-5835	181	15	133x	133x	NUM
cana-5835	181	16	vol	vol	NOUN
cana-5835	181	17	32	32	NUM
cana-5835	181	18	no	no	NOUN
cana-5835	181	19	.	.	NOUN
cana-5835	181	20	1	1	NUM
cana-5835	181	21	(	(	PUNCT
cana-5835	181	22	2025	2025	NUM
cana-5835	181	23	)	)	PUNCT
cana-5835	181	24	https://internationalpubls.com	https://internationalpubls.com	X
cana-5835	181	25	572	572	NUM
cana-5835	181	26	the	the	DET
cana-5835	181	27	expression	expression	NOUN
cana-5835	181	28	of	of	ADP
cana-5835	181	29	steady	steady	ADJ
cana-5835	181	30	state	state	NOUN
cana-5835	181	31	brillouin	brillouin	NOUN
cana-5835	181	32	gain	gain	NOUN
cana-5835	181	33	given	give	VERB
cana-5835	181	34	above	above	ADV
cana-5835	181	35	can	can	AUX
cana-5835	181	36	further	far	ADV
cana-5835	181	37	be	be	AUX
cana-5835	181	38	written	write	VERB
cana-5835	181	39	in	in	ADP
cana-5835	181	40	terms	term	NOUN
cana-5835	181	41	of	of	ADP
cana-5835	181	42	the	the	DET
cana-5835	181	43	input	input	NOUN
cana-5835	181	44	pump	pump	NOUN
cana-5835	181	45	power	power	NOUN
cana-5835	181	46	when	when	SCONJ
cana-5835	181	47	considering	consider	VERB
cana-5835	181	48	centrosymmetric	centrosymmetric	ADJ
cana-5835	181	49	semiconductor	semiconductor	NOUN
cana-5835	181	50	plasma	plasma	NOUN
cana-5835	181	51	as	as	ADP
cana-5835	181	52	𝑔𝐵	𝑔𝐵	NOUN
cana-5835	181	53	=	=	PUNCT
cana-5835	181	54	1.54	1.54	NUM
cana-5835	181	55	×	×	NOUN
cana-5835	181	56	10−7𝐼𝑖𝑛	10−7𝐼𝑖𝑛	PROPN
cana-5835	181	57	(	(	PUNCT
cana-5835	181	58	22	22	NUM
cana-5835	181	59	)	)	PUNCT
cana-5835	181	60	the	the	DET
cana-5835	181	61	relevant	relevant	ADJ
cana-5835	181	62	physical	physical	ADJ
cana-5835	181	63	parameters	parameter	NOUN
cana-5835	181	64	are	be	AUX
cana-5835	181	65	given	give	VERB
cana-5835	181	66	in	in	ADP
cana-5835	181	67	section	section	NOUN
cana-5835	181	68	3	3	NUM
cana-5835	181	69	.	.	PUNCT
cana-5835	182	1	based	base	VERB
cana-5835	182	2	on	on	ADP
cana-5835	182	3	the	the	DET
cana-5835	182	4	above	above	ADJ
cana-5835	182	5	equations	equation	NOUN
cana-5835	182	6	,	,	PUNCT
cana-5835	182	7	one	one	PRON
cana-5835	182	8	can	can	AUX
cana-5835	182	9	see	see	VERB
cana-5835	182	10	that	that	SCONJ
cana-5835	182	11	quantum	quantum	ADJ
cana-5835	182	12	effect	effect	NOUN
cana-5835	182	13	has	have	VERB
cana-5835	182	14	significant	significant	ADJ
cana-5835	182	15	effect	effect	NOUN
cana-5835	182	16	on	on	ADP
cana-5835	182	17	the	the	DET
cana-5835	182	18	third	third	ADJ
cana-5835	182	19	-	-	PUNCT
cana-5835	182	20	order	order	NOUN
cana-5835	182	21	nonlinearity	nonlinearity	NOUN
cana-5835	182	22	of	of	ADP
cana-5835	182	23	the	the	DET
cana-5835	182	24	medium	medium	ADJ
cana-5835	182	25	and	and	CCONJ
cana-5835	182	26	subsequently	subsequently	ADV
cana-5835	182	27	the	the	DET
cana-5835	182	28	steady	steady	ADJ
cana-5835	182	29	state	state	NOUN
cana-5835	182	30	properties	property	NOUN
cana-5835	182	31	of	of	ADP
cana-5835	182	32	the	the	DET
cana-5835	182	33	brillouin	brillouin	NOUN
cana-5835	183	1	active	active	ADJ
cana-5835	183	2	medium	medium	NOUN
cana-5835	183	3	.	.	PUNCT
cana-5835	183	4	table	table	NOUN
cana-5835	183	5	1	1	NUM
cana-5835	183	6	shows	show	VERB
cana-5835	183	7	the	the	DET
cana-5835	183	8	list	list	NOUN
cana-5835	183	9	of	of	ADP
cana-5835	183	10	key	key	ADJ
cana-5835	183	11	physical	physical	ADJ
cana-5835	183	12	and	and	CCONJ
cana-5835	183	13	mathematical	mathematical	ADJ
cana-5835	183	14	symbols	symbol	NOUN
cana-5835	183	15	used	use	VERB
cana-5835	183	16	throughout	throughout	ADP
cana-5835	183	17	the	the	DET
cana-5835	183	18	manuscript	manuscript	NOUN
cana-5835	183	19	,	,	PUNCT
cana-5835	183	20	along	along	ADP
cana-5835	183	21	with	with	ADP
cana-5835	183	22	their	their	PRON
cana-5835	183	23	corresponding	correspond	VERB
cana-5835	183	24	descriptions	description	NOUN
cana-5835	183	25	.	.	PUNCT
cana-5835	184	1	table	table	NOUN
cana-5835	184	2	1	1	NUM
cana-5835	184	3	.	.	PUNCT
cana-5835	185	1	definitions	definition	NOUN
cana-5835	185	2	of	of	ADP
cana-5835	185	3	key	key	ADJ
cana-5835	185	4	symbols	symbol	NOUN
cana-5835	185	5	used	use	VERB
cana-5835	185	6	in	in	ADP
cana-5835	185	7	the	the	DET
cana-5835	185	8	paper	paper	NOUN
cana-5835	185	9	.	.	PUNCT
cana-5835	186	1	symbol	symbol	NOUN
cana-5835	186	2	description	description	NOUN
cana-5835	186	3	𝜂	𝜂	NOUN
cana-5835	186	4	spin	spin	NOUN
cana-5835	186	5	polarization	polarization	NOUN
cana-5835	186	6	parameter	parameter	NOUN
cana-5835	186	7	𝑛0	𝑛0	VERB
cana-5835	186	8	,	,	PUNCT
cana-5835	186	9	𝑛1	𝑛1	ADJ
cana-5835	186	10	equilibrium	equilibrium	NOUN
cana-5835	186	11	and	and	CCONJ
cana-5835	186	12	perturbed	perturb	VERB
cana-5835	186	13	carrier	carrier	NOUN
cana-5835	186	14	density	density	NOUN
cana-5835	186	15	,	,	PUNCT
cana-5835	186	16	respectively	respectively	ADV
cana-5835	186	17	𝐯0	𝐯0	NOUN
cana-5835	186	18	,	,	PUNCT
cana-5835	186	19	𝐯1	𝐯1	ADJ
cana-5835	186	20	equilibrium	equilibrium	NOUN
cana-5835	186	21	and	and	CCONJ
cana-5835	186	22	oscillatory	oscillatory	ADJ
cana-5835	186	23	(	(	PUNCT
cana-5835	186	24	perturbed	perturb	VERB
cana-5835	186	25	)	)	PUNCT
cana-5835	186	26	electron	electron	NOUN
cana-5835	186	27	fluid	fluid	NOUN
cana-5835	186	28	velocities	velocity	NOUN
cana-5835	186	29	𝐸0	𝐸0	NOUN
cana-5835	186	30	,	,	PUNCT
cana-5835	186	31	𝐸1	𝐸1	NOUN
cana-5835	186	32	pump	pump	NOUN
cana-5835	186	33	(	(	PUNCT
cana-5835	186	34	incident	incident	NOUN
cana-5835	186	35	)	)	PUNCT
cana-5835	186	36	electric	electric	ADJ
cana-5835	186	37	field	field	NOUN
cana-5835	186	38	and	and	CCONJ
cana-5835	186	39	scattered	scatter	VERB
cana-5835	186	40	(	(	PUNCT
cana-5835	186	41	stokes	stoke	NOUN
cana-5835	186	42	)	)	PUNCT
cana-5835	186	43	electric	electric	ADJ
cana-5835	186	44	field	field	NOUN
cana-5835	186	45	𝜔0	𝜔0	NOUN
cana-5835	186	46	,	,	PUNCT
cana-5835	186	47	𝜔1	𝜔1	ADJ
cana-5835	186	48	frequencies	frequency	NOUN
cana-5835	186	49	of	of	ADP
cana-5835	186	50	the	the	DET
cana-5835	186	51	pump	pump	NOUN
cana-5835	186	52	and	and	CCONJ
cana-5835	186	53	scattered	scatter	VERB
cana-5835	186	54	electromagnetic	electromagnetic	ADJ
cana-5835	186	55	waves	wave	NOUN
cana-5835	186	56	𝐤	𝐤	NOUN
cana-5835	186	57	wave	wave	VERB
cana-5835	186	58	vector	vector	NOUN
cana-5835	186	59	associated	associate	VERB
cana-5835	186	60	with	with	ADP
cana-5835	186	61	propagating	propagate	VERB
cana-5835	186	62	fields	field	NOUN
cana-5835	186	63	𝜒(3	𝜒(3	NOUN
cana-5835	186	64	)	)	PUNCT
cana-5835	186	65	general	general	ADJ
cana-5835	186	66	third	third	ADJ
cana-5835	186	67	-	-	PUNCT
cana-5835	186	68	order	order	NOUN
cana-5835	186	69	nonlinear	nonlinear	ADJ
cana-5835	186	70	susceptibility	susceptibility	NOUN
cana-5835	186	71	𝜒𝐵	𝜒𝐵	X
cana-5835	186	72	(	(	PUNCT
cana-5835	186	73	3	3	NUM
cana-5835	186	74	)	)	PUNCT
cana-5835	186	75	third	third	ADJ
cana-5835	186	76	-	-	PUNCT
cana-5835	186	77	order	order	NOUN
cana-5835	186	78	brillouin	brillouin	NOUN
cana-5835	186	79	susceptibility	susceptibility	NOUN
cana-5835	186	80	𝑔𝐵	𝑔𝐵	NOUN
cana-5835	186	81	brillouin	brillouin	NOUN
cana-5835	186	82	gain	gain	NOUN
cana-5835	186	83	coefficient	coefficient	NOUN
cana-5835	186	84	𝜏opt	𝜏opt	VERB
cana-5835	186	85	optimum	optimum	ADJ
cana-5835	186	86	pulse	pulse	NOUN
cana-5835	186	87	duration	duration	NOUN
cana-5835	186	88	for	for	ADP
cana-5835	186	89	maximum	maximum	ADJ
cana-5835	186	90	transient	transient	ADJ
cana-5835	186	91	gain	gain	NOUN
cana-5835	187	1	𝑃𝑐𝑑	𝑃𝑐𝑑	AUX
cana-5835	187	2	induced	induce	VERB
cana-5835	187	3	nonlinear	nonlinear	ADJ
cana-5835	187	4	polarization	polarization	NOUN
cana-5835	187	5	at	at	ADP
cana-5835	187	6	the	the	DET
cana-5835	187	7	scattered	scatter	VERB
cana-5835	187	8	frequency	frequency	NOUN
cana-5835	187	9	𝜈	𝜈	X
cana-5835	187	10	electron	electron	NOUN
cana-5835	187	11	collision	collision	NOUN
cana-5835	187	12	frequency	frequency	NOUN
cana-5835	187	13	(	(	PUNCT
cana-5835	187	14	damping	damp	VERB
cana-5835	187	15	rate	rate	NOUN
cana-5835	187	16	)	)	PUNCT
cana-5835	187	17	𝜔𝑝	𝜔𝑝	ADP
cana-5835	187	18	electron	electron	NOUN
cana-5835	187	19	plasma	plasma	NOUN
cana-5835	187	20	frequency	frequency	NOUN
cana-5835	187	21	𝜇𝐵	𝜇𝐵	NOUN
cana-5835	187	22	bohr	bohr	PROPN
cana-5835	187	23	magneton	magneton	PROPN
cana-5835	187	24	(	(	PUNCT
cana-5835	187	25	magnetic	magnetic	ADJ
cana-5835	187	26	moment	moment	NOUN
cana-5835	187	27	of	of	ADP
cana-5835	187	28	the	the	DET
cana-5835	187	29	electron	electron	NOUN
cana-5835	187	30	)	)	PUNCT
cana-5835	187	31	𝛿1	𝛿1	PROPN
cana-5835	187	32	,	,	PUNCT
cana-5835	187	33	𝛿2	𝛿2	NOUN
cana-5835	187	34	detuning	detune	VERB
cana-5835	187	35	parameters	parameter	NOUN
cana-5835	187	36	used	use	VERB
cana-5835	187	37	in	in	ADP
cana-5835	187	38	the	the	DET
cana-5835	187	39	gain	gain	NOUN
cana-5835	187	40	model	model	NOUN
cana-5835	187	41	𝑢	𝑢	PROPN
cana-5835	187	42	longitudinal	longitudinal	ADJ
cana-5835	187	43	displacement	displacement	NOUN
cana-5835	187	44	of	of	ADP
cana-5835	187	45	the	the	DET
cana-5835	187	46	ion	ion	NOUN
cana-5835	187	47	acoustic	acoustic	ADJ
cana-5835	187	48	wave	wave	NOUN
cana-5835	187	49	𝛽	𝛽	NOUN
cana-5835	187	50	pressure	pressure	NOUN
cana-5835	187	51	-	-	PUNCT
cana-5835	187	52	related	relate	VERB
cana-5835	187	53	coupling	coupling	NOUN
cana-5835	187	54	parameter	parameter	NOUN
cana-5835	187	55	in	in	ADP
cana-5835	187	56	the	the	DET
cana-5835	187	57	quantum	quantum	NOUN
cana-5835	187	58	force	force	NOUN
cana-5835	187	59	model	model	NOUN
cana-5835	187	60	2.2	2.2	NUM
cana-5835	187	61	.	.	PUNCT
cana-5835	188	1	transient	transient	ADJ
cana-5835	188	2	characteristics	characteristic	NOUN
cana-5835	188	3	this	this	DET
cana-5835	188	4	section	section	NOUN
cana-5835	188	5	gives	give	VERB
cana-5835	188	6	the	the	DET
cana-5835	188	7	dynamics	dynamic	NOUN
cana-5835	188	8	of	of	ADP
cana-5835	188	9	sbs	sbs	NOUN
cana-5835	188	10	i.e.	i.e.	X
cana-5835	188	11	the	the	DET
cana-5835	188	12	time	time	NOUN
cana-5835	188	13	behavior	behavior	NOUN
cana-5835	188	14	of	of	ADP
cana-5835	188	15	the	the	DET
cana-5835	188	16	stoke	stoke	NOUN
cana-5835	188	17	wave	wave	NOUN
cana-5835	188	18	intensity	intensity	NOUN
cana-5835	188	19	.	.	PUNCT
cana-5835	189	1	in	in	ADP
cana-5835	189	2	the	the	DET
cana-5835	189	3	macroscopic	macroscopic	ADJ
cana-5835	189	4	perspective	perspective	NOUN
cana-5835	189	5	,	,	PUNCT
cana-5835	189	6	the	the	DET
cana-5835	189	7	transient	transient	ADJ
cana-5835	189	8	coherent	coherent	ADJ
cana-5835	189	9	phenomena	phenomenon	NOUN
cana-5835	189	10	are	be	AUX
cana-5835	189	11	caused	cause	VERB
cana-5835	189	12	by	by	ADP
cana-5835	189	13	the	the	DET
cana-5835	189	14	ability	ability	NOUN
cana-5835	189	15	of	of	ADP
cana-5835	189	16	the	the	DET
cana-5835	189	17	material	material	NOUN
cana-5835	189	18	system	system	NOUN
cana-5835	189	19	in	in	ADP
cana-5835	189	20	the	the	DET
cana-5835	189	21	capacity	capacity	NOUN
cana-5835	189	22	of	of	ADP
cana-5835	189	23	the	the	DET
cana-5835	189	24	ability	ability	NOUN
cana-5835	189	25	of	of	ADP
cana-5835	189	26	retaining	retain	VERB
cana-5835	189	27	the	the	DET
cana-5835	189	28	certain	certain	ADJ
cana-5835	189	29	phase	phase	NOUN
cana-5835	189	30	of	of	ADP
cana-5835	189	31	a	a	DET
cana-5835	189	32	coherent	coherent	ADJ
cana-5835	189	33	excitation	excitation	NOUN
cana-5835	189	34	over	over	ADP
cana-5835	189	35	certain	certain	ADJ
cana-5835	189	36	period	period	NOUN
cana-5835	189	37	of	of	ADP
cana-5835	189	38	time	time	NOUN
cana-5835	189	39	.	.	PUNCT
cana-5835	190	1	such	such	ADJ
cana-5835	190	2	effects	effect	NOUN
cana-5835	190	3	have	have	VERB
cana-5835	190	4	transient	transient	ADJ
cana-5835	190	5	features	feature	NOUN
cana-5835	190	6	that	that	PRON
cana-5835	190	7	determine	determine	VERB
cana-5835	190	8	their	their	PRON
cana-5835	190	9	speed	speed	NOUN
cana-5835	190	10	in	in	ADP
cana-5835	190	11	which	which	PRON
cana-5835	190	12	different	different	ADJ
cana-5835	190	13	types	type	NOUN
cana-5835	190	14	of	of	ADP
cana-5835	190	15	optical	optical	ADJ
cana-5835	190	16	functions	function	NOUN
cana-5835	190	17	are	be	AUX
cana-5835	190	18	executed	execute	VERB
cana-5835	190	19	.	.	PUNCT
cana-5835	191	1	from	from	ADP
cana-5835	191	2	eqs	eqs	PROPN
cana-5835	191	3	.	.	PUNCT
cana-5835	192	1	(	(	PUNCT
cana-5835	192	2	21	21	NUM
cana-5835	192	3	)	)	PUNCT
cana-5835	192	4	and	and	CCONJ
cana-5835	192	5	(	(	PUNCT
cana-5835	192	6	22	22	NUM
cana-5835	192	7	)	)	PUNCT
cana-5835	192	8	,	,	PUNCT
cana-5835	192	9	it	it	PRON
cana-5835	192	10	can	can	AUX
cana-5835	192	11	be	be	AUX
cana-5835	192	12	assumed	assume	VERB
cana-5835	192	13	that	that	SCONJ
cana-5835	192	14	only	only	ADV
cana-5835	192	15	high	high	ADJ
cana-5835	192	16	-	-	PUNCT
cana-5835	192	17	power	power	NOUN
cana-5835	192	18	laser	laser	NOUN
cana-5835	192	19	source	source	NOUN
cana-5835	192	20	exists	exist	VERB
cana-5835	192	21	that	that	PRON
cana-5835	192	22	will	will	AUX
cana-5835	192	23	produce	produce	VERB
cana-5835	192	24	considerable	considerable	ADJ
cana-5835	192	25	gain	gain	NOUN
cana-5835	192	26	of	of	ADP
cana-5835	192	27	the	the	DET
cana-5835	192	28	sbs	sbs	ADJ
cana-5835	192	29	mode	mode	NOUN
cana-5835	192	30	.	.	PUNCT
cana-5835	193	1	therefore	therefore	ADV
cana-5835	193	2	,	,	PUNCT
cana-5835	193	3	the	the	DET
cana-5835	193	4	laser	laser	NOUN
cana-5835	193	5	pump	pump	NOUN
cana-5835	193	6	source	source	NOUN
cana-5835	193	7	must	must	AUX
cana-5835	193	8	be	be	AUX
cana-5835	193	9	in	in	ADP
cana-5835	193	10	the	the	DET
cana-5835	193	11	pulsed	pulse	VERB
cana-5835	193	12	mode	mode	NOUN
cana-5835	193	13	with	with	ADP
cana-5835	193	14	a	a	DET
cana-5835	193	15	time	time	NOUN
cana-5835	193	16	range	range	NOUN
cana-5835	193	17	of	of	ADP
cana-5835	193	18	the	the	DET
cana-5835	193	19	order	order	NOUN
cana-5835	193	20	of	of	ADP
cana-5835	193	21	10−12	10−12	NOUN
cana-5835	193	22	s	s	NOUN
cana-5835	193	23	or	or	CCONJ
cana-5835	193	24	in	in	ADP
cana-5835	193	25	the	the	DET
cana-5835	193	26	pulse	pulse	NOUN
cana-5835	193	27	-	-	PUNCT
cana-5835	193	28	train	train	NOUN
cana-5835	193	29	mode	mode	NOUN
cana-5835	193	30	communications	communication	NOUN
cana-5835	193	31	on	on	ADP
cana-5835	193	32	applied	apply	VERB
cana-5835	193	33	nonlinear	nonlinear	ADJ
cana-5835	193	34	analysis	analysis	NOUN
cana-5835	193	35	issn	issn	NOUN
cana-5835	193	36	:	:	PUNCT
cana-5835	193	37	1074	1074	NUM
cana-5835	193	38	-	-	PUNCT
cana-5835	193	39	133x	133x	NUM
cana-5835	193	40	vol	vol	NOUN
cana-5835	193	41	32	32	NUM
cana-5835	193	42	no	no	NOUN
cana-5835	193	43	.	.	NOUN
cana-5835	193	44	1	1	NUM
cana-5835	193	45	(	(	PUNCT
cana-5835	193	46	2025	2025	NUM
cana-5835	193	47	)	)	PUNCT
cana-5835	193	48	https://internationalpubls.com	https://internationalpubls.com	X
cana-5835	193	49	573	573	NUM
cana-5835	193	50	with	with	ADP
cana-5835	193	51	a	a	DET
cana-5835	193	52	pulse	pulse	NOUN
cana-5835	193	53	duration	duration	NOUN
cana-5835	193	54	of	of	ADP
cana-5835	193	55	the	the	DET
cana-5835	193	56	order	order	NOUN
cana-5835	193	57	of	of	ADP
cana-5835	193	58	10−9	10−9	NUM
cana-5835	193	59	s	s	NOUN
cana-5835	193	60	in	in	ADP
cana-5835	193	61	the	the	DET
cana-5835	193	62	case	case	NOUN
cana-5835	193	63	of	of	ADP
cana-5835	193	64	q	q	NOUN
cana-5835	193	65	switched	switch	VERB
cana-5835	193	66	lasers	laser	NOUN
cana-5835	193	67	and	and	CCONJ
cana-5835	193	68	mode	mode	NOUN
cana-5835	193	69	locked	lock	VERB
cana-5835	193	70	lasers	laser	NOUN
cana-5835	193	71	,	,	PUNCT
cana-5835	193	72	respectively	respectively	ADV
cana-5835	193	73	.	.	PUNCT
cana-5835	194	1	these	these	DET
cana-5835	194	2	durations	duration	NOUN
cana-5835	194	3	of	of	ADP
cana-5835	194	4	time	time	NOUN
cana-5835	194	5	are	be	AUX
cana-5835	194	6	either	either	CCONJ
cana-5835	194	7	comparable	comparable	ADJ
cana-5835	194	8	to	to	ADP
cana-5835	194	9	or	or	CCONJ
cana-5835	194	10	smaller	small	ADJ
cana-5835	194	11	than	than	ADP
cana-5835	194	12	the	the	DET
cana-5835	194	13	phonon	phonon	NOUN
cana-5835	194	14	life	life	NOUN
cana-5835	194	15	times	time	NOUN
cana-5835	194	16	(	(	PUNCT
cana-5835	194	17	for	for	ADP
cana-5835	194	18	acoustic	acoustic	ADJ
cana-5835	194	19	phonon	phonon	NOUN
cana-5835	194	20	≥	≥	NOUN
cana-5835	194	21	10−9	10−9	NUM
cana-5835	194	22	s	s	NOUN
cana-5835	194	23	)	)	PUNCT
cana-5835	194	24	;	;	PUNCT
cana-5835	194	25	and	and	CCONJ
cana-5835	194	26	thus	thus	ADV
cana-5835	194	27	,	,	PUNCT
cana-5835	194	28	the	the	DET
cana-5835	194	29	transient	transient	ADJ
cana-5835	194	30	effect	effect	NOUN
cana-5835	194	31	study	study	NOUN
cana-5835	194	32	comes	come	VERB
cana-5835	194	33	to	to	ADP
cana-5835	194	34	the	the	DET
cana-5835	194	35	fore	fore	NOUN
cana-5835	194	36	.	.	PUNCT
cana-5835	195	1	conversely	conversely	ADV
cana-5835	195	2	the	the	DET
cana-5835	195	3	steady	steady	ADJ
cana-5835	195	4	state	state	NOUN
cana-5835	195	5	formulations	formulation	NOUN
cana-5835	195	6	are	be	AUX
cana-5835	195	7	quite	quite	ADV
cana-5835	195	8	handicapped	handicapped	ADJ
cana-5835	195	9	both	both	PRON
cana-5835	195	10	in	in	ADP
cana-5835	195	11	their	their	PRON
cana-5835	195	12	ability	ability	NOUN
cana-5835	195	13	to	to	PART
cana-5835	195	14	correctly	correctly	ADV
cana-5835	195	15	predict	predict	VERB
cana-5835	195	16	the	the	DET
cana-5835	195	17	threshold	threshold	NOUN
cana-5835	195	18	pump	pump	NOUN
cana-5835	195	19	intensity	intensity	NOUN
cana-5835	195	20	(	(	PUNCT
cana-5835	195	21	𝐼𝑡ℎ	𝐼𝑡ℎ	NOUN
cana-5835	195	22	)	)	PUNCT
cana-5835	195	23	at	at	ADP
cana-5835	195	24	which	which	PRON
cana-5835	195	25	sbs	sbs	NOUN
cana-5835	195	26	will	will	AUX
cana-5835	195	27	start	start	VERB
cana-5835	195	28	to	to	PART
cana-5835	195	29	occur	occur	VERB
cana-5835	195	30	with	with	ADP
cana-5835	195	31	positive	positive	ADJ
cana-5835	195	32	gains	gain	NOUN
cana-5835	195	33	as	as	ADV
cana-5835	195	34	well	well	ADV
cana-5835	195	35	as	as	ADP
cana-5835	195	36	in	in	ADP
cana-5835	195	37	their	their	PRON
cana-5835	195	38	ability	ability	NOUN
cana-5835	195	39	to	to	PART
cana-5835	195	40	correctly	correctly	ADV
cana-5835	195	41	predict	predict	VERB
cana-5835	195	42	the	the	DET
cana-5835	195	43	optimum	optimum	ADJ
cana-5835	195	44	pulse	pulse	NOUN
cana-5835	195	45	duration	duration	NOUN
cana-5835	195	46	over	over	ADP
cana-5835	195	47	which	which	PRON
cana-5835	195	48	such	such	ADJ
cana-5835	195	49	instabilities	instability	NOUN
cana-5835	195	50	may	may	AUX
cana-5835	195	51	be	be	AUX
cana-5835	195	52	observed	observe	VERB
cana-5835	195	53	.	.	PUNCT
cana-5835	196	1	these	these	PRON
cana-5835	196	2	will	will	AUX
cana-5835	196	3	indicate	indicate	VERB
cana-5835	196	4	that	that	SCONJ
cana-5835	196	5	sbs	sbs	NOUN
cana-5835	196	6	has	have	VERB
cana-5835	196	7	to	to	PART
cana-5835	196	8	be	be	AUX
cana-5835	196	9	studied	study	VERB
cana-5835	196	10	with	with	ADP
cana-5835	196	11	the	the	DET
cana-5835	196	12	inclusion	inclusion	NOUN
cana-5835	196	13	of	of	ADP
cana-5835	196	14	transient	transient	ADJ
cana-5835	196	15	effect	effect	NOUN
cana-5835	196	16	.	.	PUNCT
cana-5835	197	1	overall	overall	ADV
cana-5835	197	2	,	,	PUNCT
cana-5835	197	3	according	accord	VERB
cana-5835	197	4	to	to	ADP
cana-5835	197	5	[	[	X
cana-5835	197	6	26	26	NUM
cana-5835	197	7	]	]	PUNCT
cana-5835	197	8	the	the	DET
cana-5835	197	9	transient	transient	ADJ
cana-5835	197	10	gain	gain	NOUN
cana-5835	197	11	factors	factor	NOUN
cana-5835	197	12	are	be	AUX
cana-5835	197	13	a	a	DET
cana-5835	197	14	linear	linear	ADJ
cana-5835	197	15	combination	combination	NOUN
cana-5835	197	16	of	of	ADP
cana-5835	197	17	the	the	DET
cana-5835	197	18	steady	steady	ADJ
cana-5835	197	19	-	-	PUNCT
cana-5835	197	20	state	state	NOUN
cana-5835	197	21	gain	gain	NOUN
cana-5835	197	22	coefficients	coefficient	NOUN
cana-5835	197	23	with	with	ADP
cana-5835	197	24	the	the	DET
cana-5835	197	25	following	follow	VERB
cana-5835	197	26	relation	relation	NOUN
cana-5835	197	27	𝑔𝑇𝐵	𝑔𝑇𝐵	NOUN
cana-5835	197	28	=	=	PUNCT
cana-5835	198	1	[	[	X
cana-5835	198	2	2𝑔𝐵𝑥𝛤𝐵𝜏𝑝	2𝑔𝐵𝑥𝛤𝐵𝜏𝑝	X
cana-5835	198	3	]	]	X
cana-5835	198	4	1	1	NUM
cana-5835	198	5	2⁄	2⁄	NUM
cana-5835	198	6	−	−	NOUN
cana-5835	199	1	𝛤𝐵𝜏𝑝	𝛤𝐵𝜏𝑝	PROPN
cana-5835	199	2	(	(	PUNCT
cana-5835	199	3	23	23	NUM
cana-5835	199	4	)	)	PUNCT
cana-5835	199	5	where	where	SCONJ
cana-5835	199	6	γ𝐵	γ𝐵	NOUN
cana-5835	199	7	is	be	AUX
cana-5835	199	8	the	the	DET
cana-5835	199	9	acoustic	acoustic	ADJ
cana-5835	199	10	phonon	phonon	NOUN
cana-5835	199	11	lifetime	lifetime	NOUN
cana-5835	199	12	,	,	PUNCT
cana-5835	199	13	and	and	CCONJ
cana-5835	199	14	𝑥	𝑥	PROPN
cana-5835	199	15	is	be	AUX
cana-5835	199	16	interaction	interaction	NOUN
cana-5835	199	17	length	length	NOUN
cana-5835	199	18	,	,	PUNCT
cana-5835	199	19	𝜏𝑝	𝜏𝑝	NOUN
cana-5835	199	20	is	be	AUX
cana-5835	199	21	pulse	pulse	NOUN
cana-5835	199	22	duration	duration	NOUN
cana-5835	199	23	.	.	PUNCT
cana-5835	200	1	in	in	ADP
cana-5835	200	2	case	case	NOUN
cana-5835	200	3	of	of	ADP
cana-5835	200	4	an	an	DET
cana-5835	200	5	extremely	extremely	ADV
cana-5835	200	6	short	short	ADJ
cana-5835	200	7	pulse	pulse	NOUN
cana-5835	200	8	duration	duration	NOUN
cana-5835	200	9	(	(	PUNCT
cana-5835	200	10	𝜏𝑝	𝜏𝑝	NOUN
cana-5835	200	11	≤	≤	NUM
cana-5835	200	12	10−10𝑠	10−10𝑠	NUM
cana-5835	200	13	)	)	PUNCT
cana-5835	200	14	the	the	DET
cana-5835	200	15	interaction	interaction	NOUN
cana-5835	200	16	length	length	NOUN
cana-5835	200	17	can	can	AUX
cana-5835	200	18	be	be	AUX
cana-5835	200	19	substituted	substitute	VERB
cana-5835	200	20	by	by	ADP
cana-5835	200	21	(	(	PUNCT
cana-5835	200	22	𝑐𝑙𝜏𝑝	𝑐𝑙𝜏𝑝	PROPN
cana-5835	200	23	2⁄	2⁄	NUM
cana-5835	200	24	)	)	PUNCT
cana-5835	200	25	where	where	SCONJ
cana-5835	200	26	𝑐𝑙is	𝑐𝑙is	VERB
cana-5835	200	27	the	the	DET
cana-5835	200	28	velocity	velocity	NOUN
cana-5835	200	29	of	of	ADP
cana-5835	200	30	light	light	NOUN
cana-5835	200	31	in	in	ADP
cana-5835	200	32	crystal	crystal	NOUN
cana-5835	200	33	lattice	lattice	NOUN
cana-5835	200	34	.	.	PUNCT
cana-5835	201	1	2.2.1	2.2.1	NUM
cana-5835	201	2	.	.	PUNCT
cana-5835	201	3	threshold	threshold	NOUN
cana-5835	201	4	pump	pump	NOUN
cana-5835	201	5	intensity	intensity	NOUN
cana-5835	201	6	and	and	CCONJ
cana-5835	201	7	optimum	optimum	ADJ
cana-5835	201	8	pulse	pulse	NOUN
cana-5835	201	9	duration	duration	NOUN
cana-5835	201	10	by	by	ADP
cana-5835	201	11	making⁡𝑔𝐵	making⁡𝑔𝐵	PROPN
cana-5835	201	12	=	=	SYM
cana-5835	201	13	0	0	NUM
cana-5835	201	14	in	in	ADP
cana-5835	201	15	the	the	DET
cana-5835	201	16	eq	eq	NOUN
cana-5835	201	17	.	.	PUNCT
cana-5835	202	1	(	(	PUNCT
cana-5835	202	2	23	23	NUM
cana-5835	202	3	)	)	PUNCT
cana-5835	202	4	we	we	PRON
cana-5835	202	5	are	be	AUX
cana-5835	202	6	able	able	ADJ
cana-5835	202	7	to	to	PART
cana-5835	202	8	get	get	VERB
cana-5835	202	9	the	the	DET
cana-5835	202	10	threshold	threshold	NOUN
cana-5835	202	11	pump	pump	NOUN
cana-5835	202	12	intensity	intensity	NOUN
cana-5835	202	13	of	of	ADP
cana-5835	202	14	the	the	DET
cana-5835	202	15	initiation	initiation	NOUN
cana-5835	202	16	of	of	ADP
cana-5835	202	17	sbs	sbs	NOUN
cana-5835	202	18	as	as	ADP
cana-5835	202	19	𝐼𝑡ℎ	𝐼𝑡ℎ	PROPN
cana-5835	202	20	=	=	SYM
cana-5835	202	21	𝛤𝐵𝜏𝑝	𝛤𝐵𝜏𝑝	PROPN
cana-5835	202	22	2𝐺𝐵𝑐𝑙	2𝐺𝐵𝑐𝑙	NUM
cana-5835	202	23	(	(	PUNCT
cana-5835	202	24	24	24	NUM
cana-5835	202	25	)	)	PUNCT
cana-5835	202	26	with	with	ADP
cana-5835	202	27	𝐺𝐵	𝐺𝐵	NOUN
cana-5835	202	28	=	=	SYM
cana-5835	202	29	𝑔𝐵	𝑔𝐵	NOUN
cana-5835	202	30	𝐼𝑖𝑛	𝐼𝑖𝑛	PROPN
cana-5835	202	31	,	,	PUNCT
cana-5835	202	32	the	the	DET
cana-5835	202	33	gain	gain	NOUN
cana-5835	202	34	per	per	ADP
cana-5835	202	35	unit	unit	NOUN
cana-5835	202	36	pump	pump	NOUN
cana-5835	202	37	intensity	intensity	NOUN
cana-5835	202	38	.	.	PUNCT
cana-5835	203	1	the	the	DET
cana-5835	203	2	threshold	threshold	NOUN
cana-5835	203	3	condition	condition	NOUN
cana-5835	203	4	under	under	ADP
cana-5835	203	5	which	which	PRON
cana-5835	203	6	sbs	sbs	NOUN
cana-5835	203	7	will	will	AUX
cana-5835	203	8	occur	occur	VERB
cana-5835	203	9	is	be	AUX
cana-5835	203	10	at	at	ADP
cana-5835	203	11	the	the	DET
cana-5835	203	12	point	point	NOUN
cana-5835	203	13	corresponding	correspond	VERB
cana-5835	203	14	to	to	ADP
cana-5835	203	15	brillouin	brillouin	NOUN
cana-5835	203	16	gain	gain	VERB
cana-5835	203	17	coefficient	coefficient	NOUN
cana-5835	203	18	𝑔𝐵	𝑔𝐵	NOUN
cana-5835	203	19	becomes	become	VERB
cana-5835	203	20	zero	zero	NUM
cana-5835	203	21	.	.	PUNCT
cana-5835	204	1	one	one	NUM
cana-5835	204	2	of	of	ADP
cana-5835	204	3	the	the	DET
cana-5835	204	4	key	key	ADJ
cana-5835	204	5	factors	factor	NOUN
cana-5835	204	6	influencing	influence	VERB
cana-5835	204	7	this	this	DET
cana-5835	204	8	threshold	threshold	NOUN
cana-5835	204	9	is	be	AUX
cana-5835	204	10	the	the	DET
cana-5835	204	11	spin	spin	NOUN
cana-5835	204	12	polarization	polarization	NOUN
cana-5835	204	13	𝜂.	𝜂.	NOUN
cana-5835	204	14	as	as	SCONJ
cana-5835	204	15	shown	show	VERB
cana-5835	204	16	in	in	ADP
cana-5835	204	17	figure	figure	NOUN
cana-5835	204	18	1	1	NUM
cana-5835	204	19	,	,	PUNCT
cana-5835	204	20	an	an	DET
cana-5835	204	21	increase	increase	NOUN
cana-5835	204	22	in	in	ADP
cana-5835	204	23	spin	spin	NOUN
cana-5835	204	24	polarization	polarization	NOUN
cana-5835	204	25	results	result	NOUN
cana-5835	204	26	in	in	ADP
cana-5835	204	27	a	a	DET
cana-5835	204	28	nonlinear	nonlinear	ADJ
cana-5835	204	29	decrease	decrease	NOUN
cana-5835	204	30	in	in	ADP
cana-5835	204	31	the	the	DET
cana-5835	204	32	required	require	VERB
cana-5835	204	33	threshold	threshold	NOUN
cana-5835	204	34	pump	pump	NOUN
cana-5835	204	35	intensity	intensity	NOUN
cana-5835	204	36	.	.	PUNCT
cana-5835	205	1	this	this	PRON
cana-5835	205	2	suggests	suggest	VERB
cana-5835	205	3	that	that	SCONJ
cana-5835	205	4	spin	spin	NOUN
cana-5835	205	5	-	-	PUNCT
cana-5835	205	6	polarized	polarize	VERB
cana-5835	205	7	systems	system	NOUN
cana-5835	205	8	allow	allow	VERB
cana-5835	205	9	for	for	SCONJ
cana-5835	205	10	sbs	sbs	NOUN
cana-5835	205	11	to	to	PART
cana-5835	205	12	initiate	initiate	VERB
cana-5835	205	13	at	at	ADP
cana-5835	205	14	significantly	significantly	ADV
cana-5835	205	15	lower	low	ADJ
cana-5835	205	16	energy	energy	NOUN
cana-5835	205	17	inputs	input	NOUN
cana-5835	205	18	,	,	PUNCT
cana-5835	205	19	which	which	PRON
cana-5835	205	20	is	be	AUX
cana-5835	205	21	beneficial	beneficial	ADJ
cana-5835	205	22	for	for	ADP
cana-5835	205	23	low	low	ADJ
cana-5835	205	24	-	-	PUNCT
cana-5835	205	25	power	power	NOUN
cana-5835	205	26	device	device	NOUN
cana-5835	205	27	applications	application	NOUN
cana-5835	205	28	.	.	PUNCT
cana-5835	206	1	figure	figure	NOUN
cana-5835	206	2	1	1	NUM
cana-5835	206	3	:	:	PUNCT
cana-5835	206	4	threshold	threshold	NOUN
cana-5835	206	5	intensity	intensity	NOUN
cana-5835	206	6	vs	vs	ADP
cana-5835	206	7	spin	spin	NOUN
cana-5835	206	8	polarization	polarization	NOUN
cana-5835	206	9	but	but	CCONJ
cana-5835	206	10	,	,	PUNCT
cana-5835	206	11	in	in	ADP
cana-5835	206	12	the	the	DET
cana-5835	206	13	case	case	NOUN
cana-5835	206	14	of	of	ADP
cana-5835	206	15	the	the	DET
cana-5835	206	16	relatively	relatively	ADV
cana-5835	206	17	long	long	ADJ
cana-5835	206	18	pulse	pulse	NOUN
cana-5835	206	19	duration	duration	NOUN
cana-5835	206	20	(	(	PUNCT
cana-5835	206	21	𝜏𝑝	𝜏𝑝	X
cana-5835	206	22	≥	≥	NOUN
cana-5835	206	23	10−9𝑠	10−9𝑠	NUM
cana-5835	206	24	)	)	PUNCT
cana-5835	206	25	,	,	PUNCT
cana-5835	206	26	the	the	DET
cana-5835	206	27	cell	cell	NOUN
cana-5835	206	28	length	length	NOUN
cana-5835	206	29	can	can	AUX
cana-5835	206	30	be	be	AUX
cana-5835	206	31	considered	consider	VERB
cana-5835	206	32	equal	equal	ADJ
cana-5835	206	33	to	to	ADP
cana-5835	206	34	x	x	PUNCT
cana-5835	206	35	and	and	CCONJ
cana-5835	206	36	under	under	ADP
cana-5835	206	37	such	such	ADJ
cana-5835	206	38	circumstances	circumstance	NOUN
cana-5835	206	39	,	,	PUNCT
cana-5835	206	40	one	one	PRON
cana-5835	206	41	finds	find	VERB
cana-5835	206	42	communications	communication	NOUN
cana-5835	206	43	on	on	ADP
cana-5835	206	44	applied	apply	VERB
cana-5835	206	45	nonlinear	nonlinear	ADJ
cana-5835	206	46	analysis	analysis	NOUN
cana-5835	206	47	issn	issn	NOUN
cana-5835	206	48	:	:	PUNCT
cana-5835	206	49	1074	1074	NUM
cana-5835	206	50	-	-	PUNCT
cana-5835	206	51	133x	133x	NUM
cana-5835	206	52	vol	vol	NOUN
cana-5835	206	53	32	32	NUM
cana-5835	206	54	no	no	NOUN
cana-5835	206	55	.	.	NOUN
cana-5835	206	56	1	1	NUM
cana-5835	206	57	(	(	PUNCT
cana-5835	206	58	2025	2025	NUM
cana-5835	206	59	)	)	PUNCT
cana-5835	207	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-5835	207	2	574	574	NUM
cana-5835	207	3	𝑔𝑇𝐵	𝑔𝑇𝐵	NOUN
cana-5835	207	4	=	=	SYM
cana-5835	207	5	(	(	PUNCT
cana-5835	207	6	𝛤𝐵𝜏𝑝	𝛤𝐵𝜏𝑝	PROPN
cana-5835	207	7	)	)	PUNCT
cana-5835	207	8	1	1	NUM
cana-5835	207	9	2⁄	2⁄	NUM
cana-5835	208	1	[	[	X
cana-5835	208	2	−(𝛤𝐵𝜏𝑝	−(𝛤𝐵𝜏𝑝	X
cana-5835	208	3	)	)	PUNCT
cana-5835	208	4	1	1	NUM
cana-5835	208	5	2⁄	2⁄	NUM
cana-5835	208	6	+	+	CCONJ
cana-5835	209	1	[	[	X
cana-5835	209	2	𝑔𝐵	𝑔𝐵	NOUN
cana-5835	209	3	𝑥	𝑥	X
cana-5835	209	4	)	)	PUNCT
cana-5835	209	5	1	1	NUM
cana-5835	209	6	2⁄	2⁄	NUM
cana-5835	209	7	]	]	X
cana-5835	209	8	]	]	X
cana-5835	209	9	(	(	PUNCT
cana-5835	209	10	25	25	NUM
cana-5835	209	11	)	)	PUNCT
cana-5835	209	12	with	with	ADP
cana-5835	209	13	the	the	DET
cana-5835	209	14	help	help	NOUN
cana-5835	209	15	of	of	ADP
cana-5835	209	16	the	the	DET
cana-5835	209	17	above	above	ADJ
cana-5835	209	18	equation	equation	NOUN
cana-5835	209	19	,	,	PUNCT
cana-5835	209	20	we	we	PRON
cana-5835	209	21	can	can	AUX
cana-5835	209	22	get	get	VERB
cana-5835	209	23	the	the	DET
cana-5835	209	24	impression	impression	NOUN
cana-5835	209	25	of	of	ADP
cana-5835	209	26	optimum	optimum	ADJ
cana-5835	209	27	pulse	pulse	NOUN
cana-5835	209	28	duration	duration	NOUN
cana-5835	209	29	(	(	PUNCT
cana-5835	209	30	𝜏𝑝)𝑜𝑝𝑡	𝜏𝑝)𝑜𝑝𝑡	PROPN
cana-5835	209	31	beyond	beyond	ADP
cana-5835	209	32	which	which	PRON
cana-5835	209	33	no	no	DET
cana-5835	209	34	gain	gain	NOUN
cana-5835	209	35	can	can	AUX
cana-5835	209	36	be	be	AUX
cana-5835	209	37	attained	attain	VERB
cana-5835	209	38	by	by	ADP
cana-5835	209	39	equating	equate	VERB
cana-5835	209	40	𝑔𝑇𝐵	𝑔𝑇𝐵	NOUN
cana-5835	209	41	to	to	ADP
cana-5835	209	42	zero	zero	NUM
cana-5835	209	43	as	as	ADP
cana-5835	209	44	(	(	PUNCT
cana-5835	209	45	𝜏𝑝)𝑜𝑝𝑡	𝜏𝑝)𝑜𝑝𝑡	PROPN
cana-5835	209	46	≈	≈	PROPN
cana-5835	209	47	(	(	PUNCT
cana-5835	209	48	𝑔𝐵⁡𝑥	𝑔𝐵⁡𝑥	PROPN
cana-5835	209	49	𝛤𝐵	𝛤𝐵	PROPN
cana-5835	209	50	)	)	PUNCT
cana-5835	209	51	(	(	PUNCT
cana-5835	209	52	26	26	NUM
cana-5835	209	53	)	)	PUNCT
cana-5835	209	54	it	it	PRON
cana-5835	209	55	can	can	AUX
cana-5835	209	56	be	be	AUX
cana-5835	209	57	noted	note	VERB
cana-5835	209	58	that	that	SCONJ
cana-5835	209	59	reversible	reversible	ADJ
cana-5835	209	60	gain	gain	NOUN
cana-5835	209	61	characteristics	characteristic	NOUN
cana-5835	209	62	of	of	ADP
cana-5835	209	63	the	the	DET
cana-5835	209	64	brillouin	brillouin	NOUN
cana-5835	209	65	scattered	scatter	VERB
cana-5835	209	66	mode	mode	NOUN
cana-5835	209	67	are	be	AUX
cana-5835	209	68	suggested	suggest	VERB
cana-5835	209	69	to	to	PART
cana-5835	209	70	be	be	AUX
cana-5835	209	71	modified	modify	VERB
cana-5835	209	72	by	by	ADP
cana-5835	209	73	the	the	DET
cana-5835	209	74	quantum	quantum	ADJ
cana-5835	209	75	terms	term	NOUN
cana-5835	209	76	.	.	PUNCT
cana-5835	210	1	the	the	DET
cana-5835	210	2	optimum	optimum	ADJ
cana-5835	210	3	pulse	pulse	NOUN
cana-5835	210	4	duration	duration	NOUN
cana-5835	210	5	𝜏	𝜏	DET
cana-5835	210	6	opt	opt	NOUN
cana-5835	210	7	is	be	AUX
cana-5835	210	8	not	not	PART
cana-5835	210	9	fixed	fix	VERB
cana-5835	210	10	and	and	CCONJ
cana-5835	210	11	varies	vary	VERB
cana-5835	210	12	with	with	ADP
cana-5835	210	13	the	the	DET
cana-5835	210	14	pump	pump	NOUN
cana-5835	210	15	intensity	intensity	NOUN
cana-5835	210	16	𝐼.	𝐼.	PROPN
cana-5835	211	1	this	this	DET
cana-5835	211	2	relationship	relationship	NOUN
cana-5835	211	3	is	be	AUX
cana-5835	211	4	nonlinear	nonlinear	ADJ
cana-5835	211	5	due	due	ADJ
cana-5835	211	6	to	to	PART
cana-5835	211	7	gain	gain	VERB
cana-5835	211	8	saturation	saturation	NOUN
cana-5835	211	9	and	and	CCONJ
cana-5835	211	10	phonon	phonon	NOUN
cana-5835	211	11	response	response	NOUN
cana-5835	211	12	times	time	NOUN
cana-5835	211	13	in	in	ADP
cana-5835	211	14	the	the	DET
cana-5835	211	15	plasma	plasma	NOUN
cana-5835	211	16	.	.	PUNCT
cana-5835	212	1	as	as	SCONJ
cana-5835	212	2	shown	show	VERB
cana-5835	212	3	in	in	ADP
cana-5835	212	4	figure	figure	NOUN
cana-5835	212	5	2	2	NUM
cana-5835	212	6	,	,	PUNCT
cana-5835	212	7	𝜏	𝜏	PRON
cana-5835	212	8	opt	opt	NOUN
cana-5835	212	9	τ	τ	PROPN
cana-5835	212	10	opt	opt	NOUN
cana-5835	212	11	increases	increase	NOUN
cana-5835	212	12	slowly	slowly	ADV
cana-5835	212	13	with	with	ADP
cana-5835	212	14	𝐼	𝐼	PROPN
cana-5835	212	15	,	,	PUNCT
cana-5835	212	16	suggesting	suggest	VERB
cana-5835	212	17	a	a	DET
cana-5835	212	18	logarithmic	logarithmic	ADJ
cana-5835	212	19	-	-	PUNCT
cana-5835	212	20	type	type	NOUN
cana-5835	212	21	behavior	behavior	NOUN
cana-5835	212	22	.	.	PUNCT
cana-5835	213	1	this	this	PRON
cana-5835	213	2	helps	help	VERB
cana-5835	213	3	determine	determine	VERB
cana-5835	213	4	suitable	suitable	ADJ
cana-5835	213	5	pulse	pulse	NOUN
cana-5835	213	6	durations	duration	NOUN
cana-5835	213	7	for	for	ADP
cana-5835	213	8	transient	transient	ADJ
cana-5835	213	9	sbs	sbs	NOUN
cana-5835	213	10	gain	gain	NOUN
cana-5835	213	11	in	in	ADP
cana-5835	213	12	spin	spin	NOUN
cana-5835	213	13	-	-	PUNCT
cana-5835	213	14	sensitive	sensitive	ADJ
cana-5835	213	15	plasmas	plasma	NOUN
cana-5835	213	16	.	.	PUNCT
cana-5835	214	1	figure	figure	NOUN
cana-5835	214	2	2	2	NUM
cana-5835	214	3	:	:	SYM
cana-5835	214	4	optimum	optimum	ADJ
cana-5835	214	5	pulse	pulse	NOUN
cana-5835	214	6	duration	duration	NOUN
cana-5835	214	7	vs	vs	ADP
cana-5835	214	8	pump	pump	NOUN
cana-5835	214	9	intensity	intensity	NOUN
cana-5835	214	10	2.3	2.3	NUM
cana-5835	214	11	mathematical	mathematical	ADJ
cana-5835	214	12	structure	structure	NOUN
cana-5835	214	13	and	and	CCONJ
cana-5835	214	14	nonlinear	nonlinear	ADJ
cana-5835	214	15	properties	property	NOUN
cana-5835	214	16	the	the	DET
cana-5835	214	17	qmhd	qmhd	PROPN
cana-5835	214	18	model	model	NOUN
cana-5835	214	19	described	describe	VERB
cana-5835	214	20	above	above	ADP
cana-5835	214	21	gives	give	VERB
cana-5835	214	22	rise	rise	NOUN
cana-5835	214	23	to	to	ADP
cana-5835	214	24	set	set	VERB
cana-5835	214	25	of	of	ADP
cana-5835	214	26	coupled	couple	VERB
cana-5835	214	27	nonlinear	nonlinear	ADJ
cana-5835	214	28	partial	partial	ADJ
cana-5835	214	29	differential	differential	ADJ
cana-5835	214	30	equations	equation	NOUN
cana-5835	214	31	characterizing	characterize	VERB
cana-5835	214	32	the	the	DET
cana-5835	214	33	dynamics	dynamic	NOUN
cana-5835	214	34	of	of	ADP
cana-5835	214	35	the	the	DET
cana-5835	214	36	charge	charge	NOUN
cana-5835	214	37	density	density	NOUN
cana-5835	214	38	perturbations	perturbation	NOUN
cana-5835	214	39	,	,	PUNCT
cana-5835	214	40	acoustic	acoustic	ADJ
cana-5835	214	41	wave	wave	NOUN
cana-5835	214	42	propagation	propagation	NOUN
cana-5835	214	43	and	and	CCONJ
cana-5835	214	44	nonlinear	nonlinear	ADJ
cana-5835	214	45	induced	induced	ADJ
cana-5835	214	46	polarization	polarization	NOUN
cana-5835	214	47	.	.	PUNCT
cana-5835	215	1	the	the	DET
cana-5835	215	2	spin	spin	NOUN
cana-5835	215	3	-	-	PUNCT
cana-5835	215	4	polarized	polarize	VERB
cana-5835	215	5	fermi	fermi	NOUN
cana-5835	215	6	pressure	pressure	NOUN
cana-5835	215	7	adds	add	VERB
cana-5835	215	8	cubic	cubic	ADJ
cana-5835	215	9	nonlinear	nonlinear	ADJ
cana-5835	215	10	terms	term	NOUN
cana-5835	215	11	,	,	PUNCT
cana-5835	215	12	whereas	whereas	SCONJ
cana-5835	215	13	the	the	DET
cana-5835	215	14	bohm	bohm	PROPN
cana-5835	215	15	potential	potential	NOUN
cana-5835	215	16	adds	add	VERB
cana-5835	215	17	quantum	quantum	NOUN
cana-5835	215	18	corrections	correction	NOUN
cana-5835	215	19	,	,	PUNCT
cana-5835	215	20	which	which	PRON
cana-5835	215	21	are	be	AUX
cana-5835	215	22	functions	function	NOUN
cana-5835	215	23	of	of	ADP
cana-5835	215	24	second	second	ADJ
cana-5835	215	25	derivatives	derivative	NOUN
cana-5835	215	26	of	of	ADP
cana-5835	215	27	density	density	NOUN
cana-5835	215	28	.	.	PUNCT
cana-5835	216	1	such	such	ADJ
cana-5835	216	2	effects	effect	NOUN
cana-5835	216	3	render	render	VERB
cana-5835	216	4	the	the	DET
cana-5835	216	5	system	system	NOUN
cana-5835	216	6	analytically	analytically	ADV
cana-5835	216	7	very	very	ADV
cana-5835	216	8	rich	rich	ADJ
cana-5835	216	9	and	and	CCONJ
cana-5835	216	10	would	would	AUX
cana-5835	216	11	be	be	AUX
cana-5835	216	12	quite	quite	ADV
cana-5835	216	13	applicable	applicable	ADJ
cana-5835	216	14	to	to	ADP
cana-5835	216	15	additional	additional	ADJ
cana-5835	216	16	research	research	NOUN
cana-5835	216	17	in	in	ADP
cana-5835	216	18	terms	term	NOUN
cana-5835	216	19	of	of	ADP
cana-5835	216	20	bifurcation	bifurcation	NOUN
cana-5835	216	21	analysis	analysis	NOUN
cana-5835	216	22	,	,	PUNCT
cana-5835	216	23	perturbation	perturbation	NOUN
cana-5835	216	24	methods	method	NOUN
cana-5835	216	25	and	and	CCONJ
cana-5835	216	26	theory	theory	NOUN
cana-5835	216	27	of	of	ADP
cana-5835	216	28	nonlinear	nonlinear	ADJ
cana-5835	216	29	stability	stability	NOUN
cana-5835	216	30	.	.	PUNCT
cana-5835	217	1	3	3	X
cana-5835	217	2	.	.	NOUN
cana-5835	217	3	results	result	NOUN
cana-5835	217	4	and	and	CCONJ
cana-5835	217	5	discussion	discussion	VERB
cana-5835	217	6	the	the	DET
cana-5835	217	7	given	give	VERB
cana-5835	217	8	section	section	NOUN
cana-5835	217	9	is	be	AUX
cana-5835	217	10	a	a	DET
cana-5835	217	11	study	study	NOUN
cana-5835	217	12	of	of	ADP
cana-5835	217	13	the	the	DET
cana-5835	217	14	sbs	sbs	NOUN
cana-5835	217	15	gain	gain	NOUN
cana-5835	217	16	behavior	behavior	NOUN
cana-5835	217	17	with	with	ADP
cana-5835	217	18	the	the	DET
cana-5835	217	19	calculated	calculate	VERB
cana-5835	217	20	qmhd	qmhd	NOUN
cana-5835	217	21	model	model	NOUN
cana-5835	217	22	.	.	PUNCT
cana-5835	218	1	the	the	DET
cana-5835	218	2	nonlinear	nonlinear	ADJ
cana-5835	218	3	dependence	dependence	NOUN
cana-5835	218	4	on	on	ADP
cana-5835	218	5	wave	wave	NOUN
cana-5835	218	6	vector	vector	NOUN
cana-5835	218	7	,	,	PUNCT
cana-5835	218	8	spin	spin	NOUN
cana-5835	218	9	polarization	polarization	NOUN
cana-5835	218	10	,	,	PUNCT
cana-5835	218	11	magnetic	magnetic	ADJ
cana-5835	218	12	field	field	NOUN
cana-5835	218	13	,	,	PUNCT
cana-5835	218	14	and	and	CCONJ
cana-5835	218	15	carrier	carrier	NOUN
cana-5835	218	16	density	density	NOUN
cana-5835	218	17	is	be	AUX
cana-5835	218	18	also	also	ADV
cana-5835	218	19	illustrated	illustrate	VERB
cana-5835	218	20	in	in	ADP
cana-5835	218	21	figures	figure	NOUN
cana-5835	218	22	3	3	NUM
cana-5835	218	23	through	through	ADP
cana-5835	218	24	5	5	NUM
cana-5835	218	25	and	and	CCONJ
cana-5835	218	26	the	the	DET
cana-5835	218	27	transient	transient	ADJ
cana-5835	218	28	characteristics	characteristic	NOUN
cana-5835	218	29	are	be	AUX
cana-5835	218	30	illustrated	illustrate	VERB
cana-5835	218	31	in	in	ADP
cana-5835	218	32	figures	figure	NOUN
cana-5835	218	33	6	6	NUM
cana-5835	218	34	and	and	CCONJ
cana-5835	218	35	7	7	NUM
cana-5835	218	36	.	.	PUNCT
cana-5835	219	1	these	these	DET
cana-5835	219	2	findings	finding	NOUN
cana-5835	219	3	show	show	VERB
cana-5835	219	4	the	the	DET
cana-5835	219	5	efficacy	efficacy	NOUN
cana-5835	219	6	of	of	ADP
cana-5835	219	7	the	the	DET
cana-5835	219	8	model	model	NOUN
cana-5835	219	9	as	as	ADP
cana-5835	219	10	a	a	DET
cana-5835	219	11	nonlinear	nonlinear	ADJ
cana-5835	219	12	dynamical	dynamical	ADJ
cana-5835	219	13	system	system	NOUN
cana-5835	219	14	and	and	CCONJ
cana-5835	219	15	indicates	indicate	VERB
cana-5835	219	16	the	the	DET
cana-5835	219	17	contribution	contribution	NOUN
cana-5835	219	18	of	of	ADP
cana-5835	219	19	quantum	quantum	ADJ
cana-5835	219	20	network	network	NOUN
cana-5835	219	21	interactions	interaction	NOUN
cana-5835	219	22	and	and	CCONJ
cana-5835	219	23	of	of	ADP
cana-5835	219	24	spins	spin	NOUN
cana-5835	219	25	in	in	ADP
cana-5835	219	26	changing	change	VERB
cana-5835	219	27	the	the	DET
cana-5835	219	28	optical	optical	ADJ
cana-5835	219	29	response	response	NOUN
cana-5835	219	30	.	.	PUNCT
cana-5835	220	1	communications	communication	NOUN
cana-5835	220	2	on	on	ADP
cana-5835	220	3	applied	apply	VERB
cana-5835	220	4	nonlinear	nonlinear	ADJ
cana-5835	220	5	analysis	analysis	NOUN
cana-5835	220	6	issn	issn	NOUN
cana-5835	220	7	:	:	PUNCT
cana-5835	220	8	1074	1074	NUM
cana-5835	220	9	-	-	PUNCT
cana-5835	220	10	133x	133x	NUM
cana-5835	220	11	vol	vol	NOUN
cana-5835	220	12	32	32	NUM
cana-5835	220	13	no	no	NOUN
cana-5835	220	14	.	.	NOUN
cana-5835	220	15	1	1	NUM
cana-5835	220	16	(	(	PUNCT
cana-5835	220	17	2025	2025	NUM
cana-5835	220	18	)	)	PUNCT
cana-5835	221	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-5835	221	2	575	575	NUM
cana-5835	221	3	to	to	PART
cana-5835	221	4	explain	explain	VERB
cana-5835	221	5	the	the	DET
cana-5835	221	6	validity	validity	NOUN
cana-5835	221	7	of	of	ADP
cana-5835	221	8	the	the	DET
cana-5835	221	9	model	model	NOUN
cana-5835	221	10	,	,	PUNCT
cana-5835	221	11	an	an	DET
cana-5835	221	12	inward	inward	ADV
cana-5835	221	13	-	-	PUNCT
cana-5835	221	14	looking	look	VERB
cana-5835	221	15	numerical	numerical	ADJ
cana-5835	221	16	quest	quest	NOUN
cana-5835	221	17	of	of	ADP
cana-5835	221	18	the	the	DET
cana-5835	221	19	threshold	threshold	NOUN
cana-5835	221	20	condition	condition	NOUN
cana-5835	221	21	and	and	CCONJ
cana-5835	221	22	the	the	DET
cana-5835	221	23	gain	gain	NOUN
cana-5835	221	24	behaviour	behaviour	NOUN
cana-5835	221	25	of	of	ADP
cana-5835	221	26	the	the	DET
cana-5835	221	27	sbs	sbs	NOUN
cana-5835	221	28	process	process	NOUN
cana-5835	221	29	with	with	ADP
cana-5835	221	30	the	the	DET
cana-5835	221	31	addition	addition	NOUN
cana-5835	221	32	of	of	ADP
cana-5835	221	33	the	the	DET
cana-5835	221	34	quantum	quantum	ADJ
cana-5835	221	35	correction	correction	NOUN
cana-5835	221	36	term	term	NOUN
cana-5835	221	37	and	and	CCONJ
cana-5835	221	38	the	the	DET
cana-5835	221	39	use	use	NOUN
cana-5835	221	40	of	of	ADP
cana-5835	221	41	the	the	DET
cana-5835	221	42	narrow	narrow	ADJ
cana-5835	221	43	-	-	PUNCT
cana-5835	221	44	bandgap	bandgap	NOUN
cana-5835	221	45	semiconductors	semiconductor	NOUN
cana-5835	221	46	has	have	AUX
cana-5835	221	47	been	be	AUX
cana-5835	221	48	presented	present	VERB
cana-5835	221	49	in	in	ADP
cana-5835	221	50	the	the	DET
cana-5835	221	51	present	present	ADJ
cana-5835	221	52	section	section	NOUN
cana-5835	221	53	.	.	PUNCT
cana-5835	222	1	the	the	DET
cana-5835	222	2	above	above	ADJ
cana-5835	222	3	semiconductor	semiconductor	NOUN
cana-5835	222	4	bulk	bulk	NOUN
cana-5835	222	5	crystal	crystal	NOUN
cana-5835	222	6	is	be	AUX
cana-5835	222	7	n	n	CCONJ
cana-5835	222	8	-	-	PUNCT
cana-5835	222	9	insb	insb	NOUN
cana-5835	222	10	that	that	PRON
cana-5835	222	11	is	be	AUX
cana-5835	222	12	a	a	DET
cana-5835	222	13	narrow	narrow	ADJ
cana-5835	222	14	direct	direct	ADJ
cana-5835	222	15	gap	gap	NOUN
cana-5835	222	16	semi	semi	ADJ
cana-5835	222	17	-	-	NOUN
cana-5835	222	18	conductor	conductor	NOUN
cana-5835	222	19	which	which	PRON
cana-5835	222	20	has	have	AUX
cana-5835	222	21	gained	gain	VERB
cana-5835	222	22	zinc	zinc	NOUN
cana-5835	222	23	blende	blende	ADJ
cana-5835	222	24	structure	structure	NOUN
cana-5835	222	25	that	that	PRON
cana-5835	222	26	is	be	AUX
cana-5835	222	27	virtually	virtually	ADV
cana-5835	222	28	a	a	DET
cana-5835	222	29	cube	cube	NOUN
cana-5835	222	30	type	type	NOUN
cana-5835	222	31	of	of	ADP
cana-5835	222	32	pattern	pattern	NOUN
cana-5835	222	33	.	.	PUNCT
cana-5835	223	1	we	we	PRON
cana-5835	223	2	have	have	AUX
cana-5835	223	3	considered	consider	VERB
cana-5835	223	4	the	the	DET
cana-5835	223	5	irradiation	irradiation	NOUN
cana-5835	223	6	of	of	ADP
cana-5835	223	7	n	n	CCONJ
cana-5835	223	8	-	-	PUNCT
cana-5835	223	9	insb	insb	NOUN
cana-5835	223	10	medium	medium	NOUN
cana-5835	223	11	by	by	ADP
cana-5835	223	12	a	a	DET
cana-5835	223	13	pulsed	pulse	VERB
cana-5835	223	14	10.6	10.6	NUM
cana-5835	223	15	𝜇𝑚	𝜇𝑚	NOUN
cana-5835	223	16	co2	co2	NOUN
cana-5835	223	17	laser	laser	NOUN
cana-5835	223	18	at	at	ADP
cana-5835	223	19	liquid	liquid	ADJ
cana-5835	223	20	nitrogen	nitrogen	NOUN
cana-5835	223	21	temperature	temperature	NOUN
cana-5835	223	22	(	(	PUNCT
cana-5835	223	23	77	77	NUM
cana-5835	223	24	0k	0k	NOUN
cana-5835	223	25	)	)	PUNCT
cana-5835	223	26	.	.	PUNCT
cana-5835	224	1	absorption	absorption	NOUN
cana-5835	224	2	coefficient	coefficient	NOUN
cana-5835	224	3	of	of	ADP
cana-5835	224	4	a	a	DET
cana-5835	224	5	sample	sample	NOUN
cana-5835	224	6	under	under	ADP
cana-5835	224	7	such	such	DET
cana-5835	224	8	a	a	DET
cana-5835	224	9	temperature	temperature	NOUN
cana-5835	224	10	is	be	AUX
cana-5835	224	11	therefore	therefore	ADV
cana-5835	224	12	very	very	ADV
cana-5835	224	13	low	low	ADJ
cana-5835	224	14	and	and	CCONJ
cana-5835	224	15	we	we	PRON
cana-5835	224	16	can	can	AUX
cana-5835	224	17	neglect	neglect	VERB
cana-5835	224	18	the	the	DET
cana-5835	224	19	transition	transition	NOUN
cana-5835	224	20	mechanism	mechanism	NOUN
cana-5835	224	21	of	of	ADP
cana-5835	224	22	band	band	NOUN
cana-5835	224	23	to	to	PART
cana-5835	224	24	band	band	VERB
cana-5835	224	25	.	.	PUNCT
cana-5835	225	1	scattering	scatter	VERB
cana-5835	225	2	of	of	ADP
cana-5835	225	3	the	the	DET
cana-5835	225	4	electron	electron	NOUN
cana-5835	225	5	in	in	ADP
cana-5835	225	6	the	the	DET
cana-5835	225	7	acoustic	acoustic	ADJ
cana-5835	225	8	phonon	phonon	NOUN
cana-5835	225	9	in	in	ADP
cana-5835	225	10	insb	insb	NOUN
cana-5835	225	11	is	be	AUX
cana-5835	225	12	the	the	DET
cana-5835	225	13	dominant	dominant	ADJ
cana-5835	225	14	mechanism	mechanism	NOUN
cana-5835	225	15	of	of	ADP
cana-5835	225	16	transferring	transfer	VERB
cana-5835	225	17	the	the	DET
cana-5835	225	18	momentum	momentum	NOUN
cana-5835	225	19	and	and	CCONJ
cana-5835	225	20	energy	energy	NOUN
cana-5835	225	21	of	of	ADP
cana-5835	225	22	the	the	DET
cana-5835	225	23	electron	electron	NOUN
cana-5835	225	24	in	in	ADP
cana-5835	225	25	the	the	DET
cana-5835	225	26	scattered	scatter	VERB
cana-5835	225	27	state	state	NOUN
cana-5835	225	28	of	of	ADP
cana-5835	225	29	the	the	DET
cana-5835	225	30	kind	kind	NOUN
cana-5835	225	31	[	[	X
cana-5835	225	32	27	27	NUM
cana-5835	225	33	]	]	PUNCT
cana-5835	225	34	.	.	PUNCT
cana-5835	226	1	the	the	DET
cana-5835	226	2	representative	representative	ADJ
cana-5835	226	3	values	value	NOUN
cana-5835	226	4	of	of	ADP
cana-5835	226	5	the	the	DET
cana-5835	226	6	following	follow	VERB
cana-5835	226	7	material	material	NOUN
cana-5835	226	8	parameters	parameter	NOUN
cana-5835	226	9	have	have	AUX
cana-5835	226	10	been	be	AUX
cana-5835	226	11	taken	take	VERB
cana-5835	226	12	into	into	ADP
cana-5835	226	13	account	account	NOUN
cana-5835	226	14	to	to	PART
cana-5835	226	15	make	make	VERB
cana-5835	226	16	up	up	ADP
cana-5835	226	17	the	the	DET
cana-5835	226	18	theoretical	theoretical	ADJ
cana-5835	226	19	formulation	formulation	NOUN
cana-5835	226	20	:	:	PUNCT
cana-5835	226	21	𝑚	𝑚	X
cana-5835	226	22	=	=	PUNCT
cana-5835	226	23	0.015𝑚0	0.015𝑚0	NOUN
cana-5835	226	24	,	,	PUNCT
cana-5835	226	25	𝑚0being	𝑚0bee	VERB
cana-5835	226	26	the	the	DET
cana-5835	226	27	free	free	ADJ
cana-5835	226	28	electron	electron	NOUN
cana-5835	226	29	mass	mass	PROPN
cana-5835	226	30	,	,	PUNCT
cana-5835	226	31	휀1	휀1	NOUN
cana-5835	226	32	=	=	PUNCT
cana-5835	226	33	15.8	15.8	NUM
cana-5835	226	34	,	,	PUNCT
cana-5835	226	35	𝛾	𝛾	NOUN
cana-5835	226	36	=	=	SYM
cana-5835	226	37	5	5	NUM
cana-5835	226	38	×	×	NOUN
cana-5835	226	39	10−10𝐹𝑚−1,𝜌	10−10𝐹𝑚−1,𝜌	NUM
cana-5835	226	40	=	=	SYM
cana-5835	226	41	5.8	5.8	NUM
cana-5835	226	42	×	×	NOUN
cana-5835	226	43	103𝑘𝑔𝑚−3	103𝑘𝑔𝑚−3	NUM
cana-5835	226	44	,	,	PUNCT
cana-5835	226	45	𝜔1	𝜔1	ADJ
cana-5835	226	46	=	=	SYM
cana-5835	226	47	2	2	NUM
cana-5835	226	48	×	×	NOUN
cana-5835	226	49	1011𝑠−1	1011𝑠−1	NOUN
cana-5835	226	50	,	,	PUNCT
cana-5835	226	51	𝜔0	𝜔0	NOUN
cana-5835	226	52	=	=	SYM
cana-5835	226	53	1.78	1.78	NUM
cana-5835	226	54	×	×	PROPN
cana-5835	226	55	1014𝑠−1	1014𝑠−1	NOUN
cana-5835	226	56	,	,	PUNCT
cana-5835	226	57	𝜈	𝜈	X
cana-5835	226	58	=	=	SYM
cana-5835	226	59	4	4	NUM
cana-5835	226	60	×	×	NOUN
cana-5835	226	61	1011𝑠−1	1011𝑠−1	NOUN
cana-5835	226	62	.	.	PUNCT
cana-5835	227	1	figure	figure	NOUN
cana-5835	227	2	3	3	NUM
cana-5835	227	3	:	:	PUNCT
cana-5835	227	4	variation	variation	NOUN
cana-5835	227	5	of	of	ADP
cana-5835	227	6	steady	steady	ADJ
cana-5835	227	7	state	state	NOUN
cana-5835	227	8	gains	gain	NOUN
cana-5835	227	9	with	with	ADP
cana-5835	227	10	wave	wave	NOUN
cana-5835	227	11	vector	vector	NOUN
cana-5835	227	12	𝒌	𝒌	ADP
cana-5835	227	13	at	at	ADP
cana-5835	227	14	𝒏𝟎	𝒏𝟎	NOUN
cana-5835	227	15	=	=	SYM
cana-5835	227	16	𝟑	𝟑	NUM
cana-5835	227	17	×	×	NOUN
cana-5835	227	18	𝟏𝟎𝟐𝟒𝒎−𝟑	𝟏𝟎𝟐𝟒𝒎−𝟑	NOUN
cana-5835	227	19	and	and	CCONJ
cana-5835	227	20	𝑬𝟎	𝑬𝟎	NOUN
cana-5835	227	21	=	=	SYM
cana-5835	227	22	𝟖	𝟖	NUM
cana-5835	227	23	×	×	NOUN
cana-5835	227	24	𝟏𝟎𝟕𝑽𝒎−𝟏.	𝟏𝟎𝟕𝑽𝒎−𝟏.	NOUN
cana-5835	227	25	in	in	ADP
cana-5835	227	26	figure	figure	NOUN
cana-5835	227	27	3	3	NUM
cana-5835	227	28	,	,	PUNCT
cana-5835	227	29	steady	steady	ADJ
cana-5835	227	30	-	-	PUNCT
cana-5835	227	31	state	state	NOUN
cana-5835	227	32	gain	gain	NOUN
cana-5835	227	33	characteristics	characteristic	NOUN
cana-5835	227	34	of	of	ADP
cana-5835	227	35	the	the	DET
cana-5835	227	36	sbs	sbs	NOUN
cana-5835	227	37	are	be	AUX
cana-5835	227	38	displayed	display	VERB
cana-5835	227	39	including	include	VERB
cana-5835	227	40	quantum	quantum	NOUN
cana-5835	227	41	spin	spin	NOUN
cana-5835	227	42	effect	effect	NOUN
cana-5835	227	43	.	.	PUNCT
cana-5835	228	1	the	the	DET
cana-5835	228	2	solid	solid	ADJ
cana-5835	228	3	,	,	PUNCT
cana-5835	228	4	dashed	dash	VERB
cana-5835	228	5	line	line	NOUN
cana-5835	228	6	showed	show	VERB
cana-5835	228	7	the	the	DET
cana-5835	228	8	variation	variation	NOUN
cana-5835	228	9	for	for	ADP
cana-5835	228	10	fully	fully	ADV
cana-5835	228	11	spin	spin	VERB
cana-5835	228	12	polarized	polarize	VERB
cana-5835	228	13	η=1	η=1	PROPN
cana-5835	228	14	and	and	CCONJ
cana-5835	228	15	partially	partially	ADV
cana-5835	228	16	spin	spin	NOUN
cana-5835	228	17	-	-	PUNCT
cana-5835	228	18	polarized	polarize	VERB
cana-5835	228	19	i.e	i.e	PRON
cana-5835	228	20	η=0.5	η=0.5	NOUN
cana-5835	228	21	respectively	respectively	ADV
cana-5835	228	22	.	.	PUNCT
cana-5835	229	1	in	in	ADP
cana-5835	229	2	this	this	DET
cana-5835	229	3	case	case	NOUN
cana-5835	229	4	,	,	PUNCT
cana-5835	229	5	gain	gain	VERB
cana-5835	229	6	increases	increase	NOUN
cana-5835	229	7	with	with	ADP
cana-5835	229	8	increasing	increase	VERB
cana-5835	229	9	spin	spin	NOUN
cana-5835	229	10	-	-	PUNCT
cana-5835	229	11	polarization	polarization	NOUN
cana-5835	229	12	.	.	PUNCT
cana-5835	230	1	it	it	PRON
cana-5835	230	2	is	be	AUX
cana-5835	230	3	also	also	ADV
cana-5835	230	4	observed	observe	VERB
cana-5835	230	5	that	that	SCONJ
cana-5835	230	6	the	the	DET
cana-5835	230	7	nature	nature	NOUN
cana-5835	230	8	of	of	ADP
cana-5835	230	9	both	both	CCONJ
cana-5835	230	10	the	the	DET
cana-5835	230	11	curve	curve	NOUN
cana-5835	230	12	is	be	AUX
cana-5835	230	13	same	same	ADJ
cana-5835	230	14	and	and	CCONJ
cana-5835	230	15	increases	increase	VERB
cana-5835	230	16	with	with	ADP
cana-5835	230	17	increasing	increase	VERB
cana-5835	230	18	value	value	NOUN
cana-5835	230	19	of	of	ADP
cana-5835	230	20	wave	wave	NOUN
cana-5835	230	21	vector	vector	NOUN
cana-5835	230	22	𝑘.	𝑘.	NOUN
cana-5835	230	23	this	this	DET
cana-5835	230	24	graph	graph	NOUN
cana-5835	230	25	demonstrates	demonstrate	VERB
cana-5835	230	26	how	how	SCONJ
cana-5835	230	27	changes	change	NOUN
cana-5835	230	28	in	in	ADP
cana-5835	230	29	wave	wave	NOUN
cana-5835	230	30	vector	vector	NOUN
cana-5835	230	31	𝑘	𝑘	PRON
cana-5835	230	32	directly	directly	ADV
cana-5835	230	33	impact	impact	VERB
cana-5835	230	34	the	the	DET
cana-5835	230	35	gain	gain	NOUN
cana-5835	230	36	constant	constant	ADJ
cana-5835	230	37	in	in	ADP
cana-5835	230	38	the	the	DET
cana-5835	230	39	system	system	NOUN
cana-5835	230	40	.	.	PUNCT
cana-5835	231	1	1	1	NUM
cana-5835	231	2	2	2	NUM
cana-5835	231	3	3	3	NUM
cana-5835	231	4	4	4	NUM
cana-5835	231	5	5	5	NUM
cana-5835	231	6	6	6	NUM
cana-5835	231	7	7	7	NUM
cana-5835	231	8	8	8	NUM
cana-5835	231	9	9	9	NUM
cana-5835	231	10	10	10	NUM
cana-5835	231	11	0.1	0.1	NUM
cana-5835	231	12	1	1	NUM
cana-5835	231	13	10	10	NUM
cana-5835	231	14	wave	wave	NOUN
cana-5835	231	15	vector	vector	NOUN
cana-5835	231	16	(	(	PUNCT
cana-5835	231	17	k	k	NOUN
cana-5835	231	18	)	)	PUNCT
cana-5835	231	19	10	10	NUM
cana-5835	231	20	7	7	NUM
cana-5835	231	21	m	m	NOUN
cana-5835	231	22	-1	-1	NOUN
cana-5835	231	23	g	g	ADP
cana-5835	231	24	a	a	PRON
cana-5835	231	25	in	in	ADP
cana-5835	231	26	c	c	NOUN
cana-5835	231	27	o	o	NOUN
cana-5835	231	28	n	n	ADP
cana-5835	231	29	s	s	X
cana-5835	231	30	ta	ta	X
cana-5835	231	31	n	n	ADP
cana-5835	231	32	t	t	PROPN
cana-5835	231	33	g	g	PROPN
cana-5835	231	34	x	x	SYM
cana-5835	231	35	1	1	NUM
cana-5835	231	36	0	0	NUM
cana-5835	231	37	5	5	NUM
cana-5835	231	38			NUM
cana-5835	231	39	=	=	SYM
cana-5835	231	40			NOUN
cana-5835	231	41			NUM
cana-5835	231	42	=	=	SYM
cana-5835	231	43			NOUN
cana-5835	231	44	communications	communication	NOUN
cana-5835	231	45	on	on	ADP
cana-5835	231	46	applied	apply	VERB
cana-5835	231	47	nonlinear	nonlinear	ADJ
cana-5835	231	48	analysis	analysis	NOUN
cana-5835	231	49	issn	issn	NOUN
cana-5835	231	50	:	:	PUNCT
cana-5835	231	51	1074	1074	NUM
cana-5835	231	52	-	-	PUNCT
cana-5835	231	53	133x	133x	NUM
cana-5835	231	54	vol	vol	NOUN
cana-5835	231	55	32	32	NUM
cana-5835	231	56	no	no	NOUN
cana-5835	231	57	.	.	NOUN
cana-5835	231	58	1	1	NUM
cana-5835	231	59	(	(	PUNCT
cana-5835	231	60	2025	2025	NUM
cana-5835	231	61	)	)	PUNCT
cana-5835	231	62	https://internationalpubls.com	https://internationalpubls.com	X
cana-5835	231	63	576	576	NUM
cana-5835	231	64	figure	figure	NOUN
cana-5835	231	65	4	4	NUM
cana-5835	231	66	:	:	PUNCT
cana-5835	231	67	variation	variation	NOUN
cana-5835	231	68	of	of	ADP
cana-5835	231	69	steady	steady	ADJ
cana-5835	231	70	state	state	NOUN
cana-5835	231	71	gains	gain	NOUN
cana-5835	231	72	with	with	ADP
cana-5835	231	73	number	number	NOUN
cana-5835	231	74	density	density	NOUN
cana-5835	231	75	𝒏𝟎	𝒏𝟎	NOUN
cana-5835	231	76	at	at	ADP
cana-5835	231	77	𝒌	𝒌	PROPN
cana-5835	231	78	=	=	SYM
cana-5835	231	79	𝟑	𝟑	NUM
cana-5835	231	80	×	×	NOUN
cana-5835	231	81	𝟏𝟎𝟖𝒎−𝟏	𝟏𝟎𝟖𝒎−𝟏	NOUN
cana-5835	231	82	and	and	CCONJ
cana-5835	231	83	𝑬𝟎	𝑬𝟎	NOUN
cana-5835	231	84	=	=	SYM
cana-5835	232	1	𝟖	𝟖	PROPN
cana-5835	232	2	×	×	NOUN
cana-5835	232	3	𝟏𝟎𝟕𝑽𝒎−𝟏.	𝟏𝟎𝟕𝑽𝒎−𝟏.	NOUN
cana-5835	232	4	figure	figure	NOUN
cana-5835	232	5	4	4	NUM
cana-5835	232	6	shows	show	VERB
cana-5835	232	7	how	how	SCONJ
cana-5835	232	8	𝑔𝐵	𝑔𝐵	PROPN
cana-5835	232	9	varies	vary	VERB
cana-5835	232	10	as	as	ADP
cana-5835	232	11	a	a	DET
cana-5835	232	12	function	function	NOUN
cana-5835	232	13	of	of	ADP
cana-5835	232	14	free	free	ADJ
cana-5835	232	15	carrier	carrier	NOUN
cana-5835	232	16	density	density	NOUN
cana-5835	232	17	𝑛0	𝑛0	VERB
cana-5835	232	18	.	.	PUNCT
cana-5835	233	1	the	the	DET
cana-5835	233	2	steady	steady	ADJ
cana-5835	233	3	state	state	NOUN
cana-5835	233	4	sbs	sbs	NOUN
cana-5835	233	5	gain	gain	NOUN
cana-5835	233	6	properties	property	NOUN
cana-5835	233	7	of	of	ADP
cana-5835	233	8	the	the	DET
cana-5835	233	9	medium	medium	NOUN
cana-5835	233	10	are	be	AUX
cana-5835	233	11	found	find	VERB
cana-5835	233	12	sensitive	sensitive	ADJ
cana-5835	233	13	to	to	ADP
cana-5835	233	14	the	the	DET
cana-5835	233	15	concentration	concentration	NOUN
cana-5835	233	16	of	of	ADP
cana-5835	233	17	doping	doping	NOUN
cana-5835	233	18	.	.	PUNCT
cana-5835	234	1	it	it	PRON
cana-5835	234	2	can	can	AUX
cana-5835	234	3	be	be	AUX
cana-5835	234	4	concluded	conclude	VERB
cana-5835	234	5	that	that	SCONJ
cana-5835	234	6	gain	gain	NOUN
cana-5835	234	7	decreases	decrease	NOUN
cana-5835	234	8	parabolically	parabolically	ADV
cana-5835	234	9	as	as	SCONJ
cana-5835	234	10	the	the	DET
cana-5835	234	11	carrier	carrier	NOUN
cana-5835	234	12	density	density	NOUN
cana-5835	234	13	rises	rise	VERB
cana-5835	234	14	the	the	DET
cana-5835	234	15	sbs	sbs	NOUN
cana-5835	234	16	in	in	ADP
cana-5835	234	17	partially	partially	ADV
cana-5835	234	18	spin	spin	VERB
cana-5835	234	19	polarized	polarize	VERB
cana-5835	234	20	decreases	decrease	NOUN
cana-5835	234	21	linearly	linearly	ADV
cana-5835	234	22	whereas	whereas	SCONJ
cana-5835	234	23	fully	fully	ADV
cana-5835	234	24	spin	spin	VERB
cana-5835	234	25	polarized	polarize	VERB
cana-5835	234	26	curve	curve	NOUN
cana-5835	234	27	increases	increase	NOUN
cana-5835	234	28	parabolically	parabolically	ADV
cana-5835	234	29	with	with	ADP
cana-5835	234	30	free	free	ADJ
cana-5835	234	31	carrier	carrier	NOUN
cana-5835	234	32	density	density	NOUN
cana-5835	234	33	.	.	PUNCT
cana-5835	235	1	it	it	PRON
cana-5835	235	2	is	be	AUX
cana-5835	235	3	found	find	VERB
cana-5835	235	4	that	that	SCONJ
cana-5835	235	5			PUNCT
cana-5835	235	6	=	=	SYM
cana-5835	235	7	0.5	0.5	NUM
cana-5835	235	8	favorable	favorable	ADJ
cana-5835	235	9	in	in	ADP
cana-5835	235	10	achieving	achieve	VERB
cana-5835	235	11	the	the	DET
cana-5835	235	12	larger	large	ADJ
cana-5835	235	13	gain	gain	NOUN
cana-5835	235	14	constants	constant	NOUN
cana-5835	235	15	and	and	CCONJ
cana-5835	235	16	therefore	therefore	ADV
cana-5835	235	17	is	be	AUX
cana-5835	235	18	beneficial	beneficial	ADJ
cana-5835	235	19	in	in	ADP
cana-5835	235	20	for	for	ADP
cana-5835	235	21	the	the	DET
cana-5835	235	22	construction	construction	NOUN
cana-5835	235	23	of	of	ADP
cana-5835	235	24	sbs	sbs	ADJ
cana-5835	235	25	cell	cell	NOUN
cana-5835	235	26	.	.	PUNCT
cana-5835	236	1	figure	figure	NOUN
cana-5835	236	2	5	5	NUM
cana-5835	236	3	:	:	PUNCT
cana-5835	236	4	variation	variation	NOUN
cana-5835	236	5	of	of	ADP
cana-5835	236	6	steady	steady	ADJ
cana-5835	236	7	state	state	NOUN
cana-5835	236	8	gains	gain	NOUN
cana-5835	236	9	with	with	ADP
cana-5835	236	10	cyclotron	cyclotron	NOUN
cana-5835	236	11	frequency	frequency	NOUN
cana-5835	236	12	𝒄	𝒄	PROPN
cana-5835	236	13	at	at	ADP
cana-5835	236	14	𝒌	𝒌	PROPN
cana-5835	236	15	=	=	SYM
cana-5835	236	16	𝟑	𝟑	NUM
cana-5835	236	17	×	×	NOUN
cana-5835	236	18	𝟏𝟎𝟖𝒎−𝟏	𝟏𝟎𝟖𝒎−𝟏	NOUN
cana-5835	236	19	and	and	CCONJ
cana-5835	236	20	𝒏𝟎	𝒏𝟎	NOUN
cana-5835	236	21	=	=	SYM
cana-5835	236	22	𝟑	𝟑	PROPN
cana-5835	236	23	×	×	NOUN
cana-5835	236	24	𝟏𝟎𝟐𝟒𝒎−𝟑.	𝟏𝟎𝟐𝟒𝒎−𝟑.	NOUN
cana-5835	236	25	1.0	1.0	NUM
cana-5835	236	26	1.2	1.2	NUM
cana-5835	236	27	1.4	1.4	NUM
cana-5835	236	28	1.6	1.6	NUM
cana-5835	236	29	1.8	1.8	NUM
cana-5835	236	30	2.0	2.0	NUM
cana-5835	236	31	0	0	NUM
cana-5835	236	32	1	1	NUM
cana-5835	236	33	2	2	NUM
cana-5835	236	34	3	3	NUM
cana-5835	236	35	4	4	NUM
cana-5835	236	36	5	5	NUM
cana-5835	236	37	6	6	NUM
cana-5835	236	38	7	7	NUM
cana-5835	236	39	8	8	NUM
cana-5835	236	40	9	9	NUM
cana-5835	236	41	10	10	NUM
cana-5835	236	42	11	11	NUM
cana-5835	236	43	12	12	NUM
cana-5835	236	44	13	13	NUM
cana-5835	236	45	14	14	NUM
cana-5835	236	46	15	15	NUM
cana-5835	236	47			NUM
cana-5835	236	48	=	=	SYM
cana-5835	236	49			NOUN
cana-5835	236	50			NUM
cana-5835	236	51	=	=	SYM
cana-5835	236	52			NOUN
cana-5835	236	53	g	g	NOUN
cana-5835	236	54	a	a	PRON
cana-5835	236	55	in	in	ADP
cana-5835	236	56	c	c	NOUN
cana-5835	236	57	o	o	NOUN
cana-5835	237	1	n	n	ADP
cana-5835	237	2	s	s	X
cana-5835	237	3	ta	ta	X
cana-5835	237	4	n	n	ADP
cana-5835	237	5	t	t	PROPN
cana-5835	237	6	g	g	PROPN
cana-5835	237	7	x	x	SYM
cana-5835	237	8	1	1	NUM
cana-5835	237	9	0	0	NUM
cana-5835	237	10	6	6	NUM
cana-5835	237	11	number	number	NOUN
cana-5835	237	12	density	density	NOUN
cana-5835	237	13	(	(	PUNCT
cana-5835	237	14	n	n	CCONJ
cana-5835	237	15	)	)	PUNCT
cana-5835	237	16	10	10	NUM
cana-5835	237	17	24	24	NUM
cana-5835	237	18	m	m	NOUN
cana-5835	237	19	-3	-3	NUM
cana-5835	237	20	7	7	NUM
cana-5835	237	21	8	8	NUM
cana-5835	237	22	9	9	NUM
cana-5835	237	23	10	10	NUM
cana-5835	237	24	11	11	NUM
cana-5835	237	25	12	12	NUM
cana-5835	237	26	13	13	NUM
cana-5835	237	27	4	4	NUM
cana-5835	237	28	8	8	NUM
cana-5835	237	29	12	12	NUM
cana-5835	237	30	16	16	NUM
cana-5835	237	31	20	20	NUM
cana-5835	237	32	g	g	NOUN
cana-5835	237	33	a	a	PRON
cana-5835	237	34	in	in	ADP
cana-5835	237	35	c	c	NOUN
cana-5835	237	36	o	o	NOUN
cana-5835	238	1	n	n	ADP
cana-5835	238	2	s	s	X
cana-5835	238	3	ta	ta	X
cana-5835	238	4	n	n	ADP
cana-5835	238	5	t	t	PROPN
cana-5835	238	6	g	g	PROPN
cana-5835	238	7	x	x	SYM
cana-5835	238	8	1	1	NUM
cana-5835	238	9	0	0	NUM
cana-5835	238	10	6	6	NUM
cana-5835	239	1			PROPN
cana-5835	239	2	c	c	X
cana-5835	239	3	/	/	PROPN
cana-5835	239	4	0	0	PUNCT
cana-5835	240	1	(	(	PUNCT
cana-5835	240	2	10	10	NUM
cana-5835	240	3	7	7	NUM
cana-5835	240	4	)	)	PUNCT
cana-5835	240	5			NUM
cana-5835	240	6	=	=	SYM
cana-5835	240	7			NOUN
cana-5835	240	8			NUM
cana-5835	240	9	=	=	SYM
cana-5835	240	10			PROPN
cana-5835	240	11	communications	communication	NOUN
cana-5835	240	12	on	on	ADP
cana-5835	240	13	applied	apply	VERB
cana-5835	240	14	nonlinear	nonlinear	ADJ
cana-5835	240	15	analysis	analysis	NOUN
cana-5835	240	16	issn	issn	NOUN
cana-5835	240	17	:	:	PUNCT
cana-5835	240	18	1074	1074	NUM
cana-5835	240	19	-	-	PUNCT
cana-5835	240	20	133x	133x	NUM
cana-5835	240	21	vol	vol	NOUN
cana-5835	240	22	32	32	NUM
cana-5835	240	23	no	no	NOUN
cana-5835	240	24	.	.	NOUN
cana-5835	240	25	1	1	NUM
cana-5835	240	26	(	(	PUNCT
cana-5835	240	27	2025	2025	NUM
cana-5835	240	28	)	)	PUNCT
cana-5835	240	29	https://internationalpubls.com	https://internationalpubls.com	X
cana-5835	240	30	577	577	NUM
cana-5835	240	31	figure	figure	NOUN
cana-5835	240	32	5	5	NUM
cana-5835	240	33	shows	show	VERB
cana-5835	240	34	how	how	SCONJ
cana-5835	240	35	the	the	DET
cana-5835	240	36	brillouin	brillouin	NOUN
cana-5835	240	37	gain	gain	VERB
cana-5835	240	38	changes	change	NOUN
cana-5835	240	39	with	with	ADP
cana-5835	240	40	cyclotron	cyclotron	NOUN
cana-5835	240	41	frequency	frequency	NOUN
cana-5835	240	42	𝑐	𝑐	NOUN
cana-5835	240	43	that	that	PRON
cana-5835	240	44	relies	rely	VERB
cana-5835	240	45	on	on	ADP
cana-5835	240	46	the	the	DET
cana-5835	240	47	outer	outer	ADJ
cana-5835	240	48	applied	apply	VERB
cana-5835	240	49	magnetic	magnetic	ADJ
cana-5835	240	50	field	field	NOUN
cana-5835	240	51	.	.	PUNCT
cana-5835	241	1	spin	spin	NOUN
cana-5835	241	2	is	be	AUX
cana-5835	241	3	important	important	ADJ
cana-5835	241	4	in	in	ADP
cana-5835	241	5	the	the	DET
cana-5835	241	6	exposure	exposure	NOUN
cana-5835	241	7	of	of	ADP
cana-5835	241	8	the	the	DET
cana-5835	241	9	plasma	plasma	NOUN
cana-5835	241	10	to	to	ADP
cana-5835	241	11	an	an	DET
cana-5835	241	12	external	external	ADJ
cana-5835	241	13	magnet	magnet	NOUN
cana-5835	241	14	field	field	NOUN
cana-5835	241	15	;	;	PUNCT
cana-5835	241	16	this	this	PRON
cana-5835	241	17	interact	interact	VERB
cana-5835	241	18	with	with	ADP
cana-5835	241	19	the	the	DET
cana-5835	241	20	magnetization	magnetization	NOUN
cana-5835	241	21	in	in	ADP
cana-5835	241	22	the	the	DET
cana-5835	241	23	plasma	plasma	NOUN
cana-5835	241	24	because	because	SCONJ
cana-5835	241	25	of	of	ADP
cana-5835	241	26	the	the	DET
cana-5835	241	27	electron	electron	NOUN
cana-5835	241	28	spin	spin	NOUN
cana-5835	241	29	.	.	PUNCT
cana-5835	242	1	the	the	DET
cana-5835	242	2	solid	solid	ADJ
cana-5835	242	3	,	,	PUNCT
cana-5835	242	4	dashed	dash	VERB
cana-5835	242	5	line	line	NOUN
cana-5835	242	6	showed	show	VERB
cana-5835	242	7	the	the	DET
cana-5835	242	8	variation	variation	NOUN
cana-5835	242	9	for	for	ADP
cana-5835	242	10	fully	fully	ADV
cana-5835	242	11	polarized	polarize	VERB
cana-5835	243	1	i.e	i.e	PROPN
cana-5835	243	2	η	η	X
cana-5835	243	3	=	=	SYM
cana-5835	243	4	1	1	NUM
cana-5835	243	5	and	and	CCONJ
cana-5835	243	6	partially	partially	ADV
cana-5835	243	7	polarized	polarize	VERB
cana-5835	243	8	i.e	i.e	PROPN
cana-5835	243	9	η	η	PROPN
cana-5835	243	10	=	=	PROPN
cana-5835	243	11	0.5	0.5	NUM
cana-5835	243	12	respectively	respectively	ADV
cana-5835	243	13	.	.	PUNCT
cana-5835	244	1	the	the	DET
cana-5835	244	2	nature	nature	NOUN
cana-5835	244	3	of	of	ADP
cana-5835	244	4	both	both	DET
cana-5835	244	5	curves	curve	NOUN
cana-5835	244	6	is	be	AUX
cana-5835	244	7	the	the	DET
cana-5835	244	8	same	same	ADJ
cana-5835	244	9	,	,	PUNCT
cana-5835	244	10	but	but	CCONJ
cana-5835	244	11	with	with	ADP
cana-5835	244	12	the	the	DET
cana-5835	244	13	partially	partially	ADV
cana-5835	244	14	spin	spin	NOUN
cana-5835	244	15	-	-	PUNCT
cana-5835	244	16	polarized	polarize	VERB
cana-5835	244	17	curve	curve	NOUN
cana-5835	244	18	,	,	PUNCT
cana-5835	244	19	medium	medium	NOUN
cana-5835	244	20	reaching	reach	VERB
cana-5835	244	21	a	a	DET
cana-5835	244	22	higher	high	ADJ
cana-5835	244	23	susceptibility	susceptibility	NOUN
cana-5835	244	24	compared	compare	VERB
cana-5835	244	25	to	to	ADP
cana-5835	244	26	the	the	DET
cana-5835	244	27	fully	fully	ADV
cana-5835	244	28	spin	spin	NOUN
cana-5835	244	29	-	-	PUNCT
cana-5835	244	30	polarized	polarize	VERB
cana-5835	244	31	.	.	PUNCT
cana-5835	245	1	the	the	DET
cana-5835	245	2	spin	spin	NOUN
cana-5835	245	3	of	of	ADP
cana-5835	245	4	the	the	DET
cana-5835	245	5	electrons	electron	NOUN
cana-5835	245	6	is	be	AUX
cana-5835	245	7	coupled	couple	VERB
cana-5835	245	8	with	with	ADP
cana-5835	245	9	the	the	DET
cana-5835	245	10	direction	direction	NOUN
cana-5835	245	11	of	of	ADP
cana-5835	245	12	the	the	DET
cana-5835	245	13	external	external	ADJ
cana-5835	245	14	magnetic	magnetic	ADJ
cana-5835	245	15	field	field	NOUN
cana-5835	245	16	in	in	ADP
cana-5835	245	17	the	the	DET
cana-5835	245	18	magnetized	magnetized	ADJ
cana-5835	245	19	plasmas	plasma	NOUN
cana-5835	245	20	in	in	ADP
cana-5835	245	21	such	such	DET
cana-5835	245	22	a	a	DET
cana-5835	245	23	way	way	NOUN
cana-5835	245	24	that	that	PRON
cana-5835	245	25	it	it	PRON
cana-5835	245	26	increases	increase	VERB
cana-5835	245	27	the	the	DET
cana-5835	245	28	intensity	intensity	NOUN
cana-5835	245	29	of	of	ADP
cana-5835	245	30	the	the	DET
cana-5835	245	31	external	external	ADJ
cana-5835	245	32	magnetic	magnetic	ADJ
cana-5835	245	33	field	field	NOUN
cana-5835	245	34	.	.	PUNCT
cana-5835	246	1	when	when	SCONJ
cana-5835	246	2	this	this	DET
cana-5835	246	3	spin	spin	NOUN
cana-5835	246	4	is	be	AUX
cana-5835	246	5	aligned	align	VERB
cana-5835	246	6	it	it	PRON
cana-5835	246	7	results	result	VERB
cana-5835	246	8	in	in	ADP
cana-5835	246	9	enhancement	enhancement	NOUN
cana-5835	246	10	of	of	ADP
cana-5835	246	11	the	the	DET
cana-5835	246	12	overall	overall	ADJ
cana-5835	246	13	magnetic	magnetic	ADJ
cana-5835	246	14	characteristics	characteristic	NOUN
cana-5835	246	15	of	of	ADP
cana-5835	246	16	the	the	DET
cana-5835	246	17	plasma	plasma	NOUN
cana-5835	246	18	.	.	PUNCT
cana-5835	247	1	within	within	ADP
cana-5835	247	2	the	the	DET
cana-5835	247	3	analysis	analysis	NOUN
cana-5835	247	4	the	the	DET
cana-5835	247	5	steady	steady	ADJ
cana-5835	247	6	state	state	NOUN
cana-5835	247	7	sbs	sbs	NOUN
cana-5835	247	8	gain	gain	NOUN
cana-5835	247	9	is	be	AUX
cana-5835	247	10	determined	determine	VERB
cana-5835	247	11	to	to	PART
cana-5835	247	12	be	be	AUX
cana-5835	247	13	of	of	ADP
cana-5835	247	14	the	the	DET
cana-5835	247	15	order	order	NOUN
cana-5835	247	16	of	of	ADP
cana-5835	247	17	1.96	1.96	NUM
cana-5835	247	18	×	×	NOUN
cana-5835	247	19	10−10	10−10	NUM
cana-5835	247	20	si	si	NOUN
cana-5835	247	21	units	unit	NOUN
cana-5835	247	22	while	while	SCONJ
cana-5835	247	23	considering	consider	VERB
cana-5835	247	24	𝑠↑0	𝑠↑0	NOUN
cana-5835	247	25	=	=	SYM
cana-5835	247	26	−𝑠↓0	−𝑠↓0	NOUN
cana-5835	247	27	and	and	CCONJ
cana-5835	247	28	𝑛	𝑛	ADJ
cana-5835	247	29	=	=	SYM
cana-5835	247	30	𝑛↑	𝑛↑	PROPN
cana-5835	247	31	−	−	PROPN
cana-5835	247	32	𝑛↓	𝑛↓	X
cana-5835	247	33	=	=	SYM
cana-5835	247	34	3𝑛	3𝑛	NUM
cana-5835	247	35	𝜇𝐵𝐵0	𝜇𝐵𝐵0	NOUN
cana-5835	247	36	2𝑘𝐵𝑇𝐹	2𝑘𝐵𝑇𝐹	NUM
cana-5835	247	37	with	with	ADP
cana-5835	247	38	carrier	carrier	NOUN
cana-5835	247	39	density	density	NOUN
cana-5835	247	40	𝑛0	𝑛0	VERB
cana-5835	247	41	=	=	SYM
cana-5835	247	42	1024𝑚−3	1024𝑚−3	NUM
cana-5835	247	43	.	.	PUNCT
cana-5835	248	1	figure	figure	VERB
cana-5835	248	2	6	6	NUM
cana-5835	248	3	:	:	PUNCT
cana-5835	248	4	variation	variation	NOUN
cana-5835	248	5	of	of	ADP
cana-5835	248	6	𝒈𝑻𝑩	𝒈𝑻𝑩	NOUN
cana-5835	248	7	with	with	ADP
cana-5835	248	8	𝒈𝑩in	𝒈𝑩in	PROPN
cana-5835	248	9	sbs	sbs	NOUN
cana-5835	248	10	process	process	NOUN
cana-5835	248	11	at	at	ADP
cana-5835	248	12	different	different	ADJ
cana-5835	248	13	pump	pump	NOUN
cana-5835	248	14	pulse	pulse	NOUN
cana-5835	248	15	durations	duration	NOUN
cana-5835	248	16	.	.	PUNCT
cana-5835	249	1	figure	figure	NOUN
cana-5835	249	2	6	6	NUM
cana-5835	249	3	displays	display	VERB
cana-5835	249	4	the	the	DET
cana-5835	249	5	rivalry	rivalry	NOUN
cana-5835	249	6	between	between	ADP
cana-5835	249	7	transient	transient	ADJ
cana-5835	249	8	brillouin	brillouin	NOUN
cana-5835	249	9	gain	gain	NOUN
cana-5835	249	10	and	and	CCONJ
cana-5835	249	11	steady	steady	ADJ
cana-5835	249	12	state	state	NOUN
cana-5835	249	13	brillouin	brillouin	NOUN
cana-5835	249	14	gain	gain	NOUN
cana-5835	249	15	across	across	ADP
cana-5835	249	16	various	various	ADJ
cana-5835	249	17	pulse	pulse	NOUN
cana-5835	249	18	durations	duration	NOUN
cana-5835	249	19	.	.	PUNCT
cana-5835	250	1	it	it	PRON
cana-5835	250	2	can	can	AUX
cana-5835	250	3	be	be	AUX
cana-5835	250	4	seen	see	VERB
cana-5835	250	5	from	from	ADP
cana-5835	250	6	the	the	DET
cana-5835	250	7	graph	graph	NOUN
cana-5835	250	8	that	that	PRON
cana-5835	250	9	𝑔𝑇𝐵	𝑔𝑇𝐵	NOUN
cana-5835	250	10	increases	increase	VERB
cana-5835	250	11	linearly	linearly	ADV
cana-5835	250	12	with	with	ADP
cana-5835	250	13	𝑔𝐵	𝑔𝐵	NOUN
cana-5835	250	14	at	at	ADP
cana-5835	250	15	one	one	NUM
cana-5835	250	16	specific	specific	ADJ
cana-5835	250	17	pulse	pulse	NOUN
cana-5835	250	18	length	length	NOUN
cana-5835	250	19	of	of	ADP
cana-5835	250	20	three	three	NUM
cana-5835	250	21	different	different	ADJ
cana-5835	250	22	values	value	NOUN
cana-5835	250	23	for	for	ADP
cana-5835	250	24	the	the	DET
cana-5835	250	25	pump	pump	NOUN
cana-5835	250	26	.	.	PUNCT
cana-5835	251	1	on	on	ADP
cana-5835	251	2	the	the	DET
cana-5835	251	3	contrary	contrary	NOUN
cana-5835	251	4	,	,	PUNCT
cana-5835	251	5	as	as	SCONJ
cana-5835	251	6	the	the	DET
cana-5835	251	7	pump	pump	NOUN
cana-5835	251	8	pulse	pulse	NOUN
cana-5835	251	9	is	be	AUX
cana-5835	251	10	increased	increase	VERB
cana-5835	251	11	in	in	ADP
cana-5835	251	12	duration	duration	NOUN
cana-5835	251	13	,	,	PUNCT
cana-5835	251	14	𝑔𝑇𝐵	𝑔𝑇𝐵	NOUN
cana-5835	251	15	increases	increase	NOUN
cana-5835	251	16	at	at	ADP
cana-5835	251	17	a	a	DET
cana-5835	251	18	particular	particular	ADJ
cana-5835	251	19	value	value	NOUN
cana-5835	251	20	of	of	ADP
cana-5835	251	21	𝑔𝐵.	𝑔𝐵.	PROPN
cana-5835	251	22	at	at	ADP
cana-5835	251	23	𝜏𝑝	𝜏𝑝	ADP
cana-5835	251	24	≈	≈	PROPN
cana-5835	251	25	10−2	10−2	NUM
cana-5835	251	26	/	/	SYM
cana-5835	251	27	γ𝐵	γ𝐵	NOUN
cana-5835	251	28	and	and	CCONJ
cana-5835	251	29	smaller	small	ADJ
cana-5835	251	30	values	value	NOUN
cana-5835	251	31	of	of	ADP
cana-5835	251	32	𝑔𝐵	𝑔𝐵	NOUN
cana-5835	251	33	,	,	PUNCT
cana-5835	251	34	the	the	DET
cana-5835	251	35	transient	transient	NOUN
cana-5835	251	36	gain	gain	NOUN
cana-5835	251	37	𝑔𝑇𝐵	𝑔𝑇𝐵	NOUN
cana-5835	251	38	is	be	AUX
cana-5835	251	39	found	find	VERB
cana-5835	251	40	less	less	ADJ
cana-5835	251	41	than	than	ADP
cana-5835	251	42	1	1	NUM
cana-5835	251	43	.	.	PUNCT
cana-5835	252	1	but	but	CCONJ
cana-5835	252	2	on	on	ADP
cana-5835	252	3	increasing	increase	VERB
cana-5835	252	4	the	the	DET
cana-5835	252	5	steady	steady	ADJ
cana-5835	252	6	state	state	NOUN
cana-5835	252	7	brillouin	brillouin	NOUN
cana-5835	252	8	gain	gain	NOUN
cana-5835	252	9	,	,	PUNCT
cana-5835	252	10	transient	transient	ADJ
cana-5835	252	11	brillouin	brillouin	NOUN
cana-5835	252	12	gain	gain	NOUN
cana-5835	252	13	becomes	become	VERB
cana-5835	252	14	larger	large	ADJ
cana-5835	252	15	than	than	ADP
cana-5835	252	16	1	1	NUM
cana-5835	252	17	for	for	ADP
cana-5835	252	18	any	any	DET
cana-5835	252	19	longer	long	ADJ
cana-5835	252	20	pulse	pulse	NOUN
cana-5835	252	21	duration	duration	NOUN
cana-5835	252	22	𝑔𝑇𝐵	𝑔𝑇𝐵	NOUN
cana-5835	252	23	is	be	AUX
cana-5835	252	24	always	always	ADV
cana-5835	252	25	larger	large	ADJ
cana-5835	252	26	than	than	ADP
cana-5835	252	27	1	1	NUM
cana-5835	252	28	.	.	NOUN
cana-5835	253	1	0.1	0.1	NUM
cana-5835	253	2	1	1	NUM
cana-5835	253	3	10	10	NUM
cana-5835	253	4	1	1	NUM
cana-5835	253	5	10	10	NUM
cana-5835	253	6	100	100	NUM
cana-5835	253	7			NUM
cana-5835	253	8	=	=	SYM
cana-5835	253	9			PROPN
cana-5835	253	10	iii	iii	X
cana-5835	253	11	ii	ii	NOUN
cana-5835	254	1	i	i	PRON
cana-5835	254	2	g	g	PROPN
cana-5835	254	3	t	t	PROPN
cana-5835	254	4	(	(	PUNCT
cana-5835	254	5	m	m	NOUN
cana-5835	254	6	-1	-1	ADJ
cana-5835	254	7	)	)	PUNCT
cana-5835	254	8	gain	gain	NOUN
cana-5835	254	9	(	(	PUNCT
cana-5835	254	10	10	10	NUM
cana-5835	254	11	4	4	NUM
cana-5835	254	12	m	m	NOUN
cana-5835	254	13	-1	-1	PRON
cana-5835	254	14	)	)	PUNCT
cana-5835	255	1	communications	communication	NOUN
cana-5835	255	2	on	on	ADP
cana-5835	255	3	applied	apply	VERB
cana-5835	255	4	nonlinear	nonlinear	ADJ
cana-5835	255	5	analysis	analysis	NOUN
cana-5835	255	6	issn	issn	NOUN
cana-5835	255	7	:	:	PUNCT
cana-5835	255	8	1074	1074	NUM
cana-5835	255	9	-	-	PUNCT
cana-5835	255	10	133x	133x	NUM
cana-5835	255	11	vol	vol	NOUN
cana-5835	255	12	32	32	NUM
cana-5835	255	13	no	no	NOUN
cana-5835	255	14	.	.	NOUN
cana-5835	255	15	1	1	NUM
cana-5835	255	16	(	(	PUNCT
cana-5835	255	17	2025	2025	NUM
cana-5835	255	18	)	)	PUNCT
cana-5835	255	19	https://internationalpubls.com	https://internationalpubls.com	X
cana-5835	256	1	578	578	NUM
cana-5835	256	2	figure	figure	NOUN
cana-5835	256	3	7	7	NUM
cana-5835	256	4	:	:	PUNCT
cana-5835	256	5	variation	variation	NOUN
cana-5835	256	6	of	of	ADP
cana-5835	256	7	transient	transient	ADJ
cana-5835	256	8	gain	gain	NOUN
cana-5835	256	9	coefficients	coefficient	NOUN
cana-5835	256	10	with	with	ADP
cana-5835	256	11	pump	pump	NOUN
cana-5835	256	12	pulse	pulse	NOUN
cana-5835	256	13	duration𝝉𝒑.	duration𝝉𝒑.	NOUN
cana-5835	256	14	figure	figure	NOUN
cana-5835	256	15	7	7	NUM
cana-5835	256	16	depicts	depict	VERB
cana-5835	256	17	the	the	DET
cana-5835	256	18	dynamical	dynamical	ADJ
cana-5835	256	19	behaviour	behaviour	NOUN
cana-5835	256	20	of	of	ADP
cana-5835	256	21	transient	transient	ADJ
cana-5835	256	22	gain	gain	NOUN
cana-5835	256	23	factor	factor	NOUN
cana-5835	256	24	with	with	ADP
cana-5835	256	25	the	the	DET
cana-5835	256	26	pump	pump	NOUN
cana-5835	256	27	pulse	pulse	NOUN
cana-5835	256	28	duration	duration	NOUN
cana-5835	256	29	𝜏𝑝.	𝜏𝑝.	PROPN
cana-5835	256	30	the	the	DET
cana-5835	256	31	acoustic	acoustic	ADJ
cana-5835	256	32	phonon	phonon	NOUN
cana-5835	256	33	lifetime	lifetime	NOUN
cana-5835	256	34	≈	≈	PROPN
cana-5835	256	35	10−9𝑠	10−9𝑠	NUM
cana-5835	256	36	,	,	PUNCT
cana-5835	256	37	hence	hence	ADV
cana-5835	256	38	,	,	PUNCT
cana-5835	256	39	to	to	PART
cana-5835	256	40	draw	draw	VERB
cana-5835	256	41	this	this	DET
cana-5835	256	42	behavior	behavior	NOUN
cana-5835	256	43	,	,	PUNCT
cana-5835	256	44	we	we	PRON
cana-5835	256	45	have	have	AUX
cana-5835	256	46	considered	consider	VERB
cana-5835	256	47	pulse	pulse	NOUN
cana-5835	256	48	duration	duration	NOUN
cana-5835	256	49	in	in	ADP
cana-5835	256	50	the	the	DET
cana-5835	256	51	range	range	NOUN
cana-5835	256	52	10−12	10−12	NOUN
cana-5835	256	53	≤	≤	NUM
cana-5835	256	54	𝜏𝑝	𝜏𝑝	ADP
cana-5835	256	55	≥	≥	NOUN
cana-5835	256	56	10−9	10−9	NUM
cana-5835	256	57	s.	s.	PROPN
cana-5835	256	58	for	for	ADP
cana-5835	256	59	backward	backward	ADJ
cana-5835	256	60	brillouin	brillouin	PROPN
cana-5835	256	61	mode	mode	NOUN
cana-5835	256	62	the	the	DET
cana-5835	256	63	interaction	interaction	NOUN
cana-5835	256	64	length	length	NOUN
cana-5835	256	65	(	(	PUNCT
cana-5835	256	66	that	that	PRON
cana-5835	256	67	is	be	AUX
cana-5835	256	68	the	the	DET
cana-5835	256	69	cell	cell	NOUN
cana-5835	256	70	length	length	NOUN
cana-5835	256	71	)	)	PUNCT
cana-5835	256	72	is	be	AUX
cana-5835	256	73	𝑐𝑙𝜏𝑝/2	𝑐𝑙𝜏𝑝/2	NUM
cana-5835	256	74	or	or	CCONJ
cana-5835	256	75	x	x	ADP
cana-5835	256	76	,	,	PUNCT
cana-5835	256	77	whichever	whichever	PRON
cana-5835	256	78	is	be	AUX
cana-5835	256	79	shorter	short	ADJ
cana-5835	256	80	.	.	PUNCT
cana-5835	257	1	for	for	ADP
cana-5835	257	2	fixed	fix	VERB
cana-5835	257	3	𝐼𝑖𝑛	𝐼𝑖𝑛	PROPN
cana-5835	257	4	,	,	PUNCT
cana-5835	257	5	(	(	PUNCT
cana-5835	257	6	𝑔𝑇𝐵)𝑄𝐸	𝑔𝑇𝐵)𝑄𝐸	NOUN
cana-5835	257	7	increases	increase	VERB
cana-5835	257	8	with	with	ADP
cana-5835	257	9	rise	rise	NOUN
cana-5835	257	10	in	in	ADP
cana-5835	257	11	pulse	pulse	NOUN
cana-5835	257	12	duration	duration	NOUN
cana-5835	257	13	and	and	CCONJ
cana-5835	257	14	at	at	ADP
cana-5835	257	15	a	a	DET
cana-5835	257	16	particular	particular	ADJ
cana-5835	257	17	value	value	NOUN
cana-5835	257	18	of	of	ADP
cana-5835	257	19	𝜏𝑝	𝜏𝑝	NOUN
cana-5835	257	20	,	,	PUNCT
cana-5835	257	21	(	(	PUNCT
cana-5835	257	22	𝑔𝑇𝐵)𝑄𝐸	𝑔𝑇𝐵)𝑄𝐸	NOUN
cana-5835	257	23	reaches	reach	VERB
cana-5835	257	24	an	an	DET
cana-5835	257	25	optimum	optimum	NOUN
cana-5835	257	26	.	.	PUNCT
cana-5835	258	1	the	the	DET
cana-5835	258	2	maximum	maximum	ADJ
cana-5835	258	3	value	value	NOUN
cana-5835	258	4	stays	stay	VERB
cana-5835	258	5	almost	almost	ADV
cana-5835	258	6	similar	similar	ADJ
cana-5835	258	7	to	to	ADP
cana-5835	258	8	some	some	DET
cana-5835	258	9	range	range	NOUN
cana-5835	258	10	of	of	ADP
cana-5835	258	11	𝜏𝑝.	𝜏𝑝.	NOUN
cana-5835	258	12	these	these	DET
cana-5835	258	13	zones	zone	NOUN
cana-5835	258	14	may	may	AUX
cana-5835	258	15	be	be	AUX
cana-5835	258	16	considered	consider	VERB
cana-5835	258	17	both	both	PRON
cana-5835	258	18	as	as	ADP
cana-5835	258	19	quasi	quasi	ADJ
cana-5835	258	20	steady	steady	ADJ
cana-5835	258	21	state	state	NOUN
cana-5835	258	22	or	or	CCONJ
cana-5835	258	23	quasi	quasi	NOUN
cana-5835	258	24	saturation	saturation	NOUN
cana-5835	258	25	zones	zone	NOUN
cana-5835	258	26	.	.	PUNCT
cana-5835	259	1	when	when	SCONJ
cana-5835	259	2	𝜏𝑝	𝜏𝑝	NOUN
cana-5835	259	3	is	be	AUX
cana-5835	259	4	further	far	ADV
cana-5835	259	5	raised	raise	VERB
cana-5835	259	6	outside	outside	ADV
cana-5835	259	7	of	of	ADP
cana-5835	259	8	quasi	quasi	NOUN
cana-5835	259	9	saturation	saturation	NOUN
cana-5835	259	10	regime	regime	NOUN
cana-5835	259	11	𝑔𝑇𝐵	𝑔𝑇𝐵	NOUN
cana-5835	259	12	decreases	decrease	VERB
cana-5835	259	13	extremely	extremely	ADV
cana-5835	259	14	rapidly	rapidly	ADV
cana-5835	259	15	and	and	CCONJ
cana-5835	259	16	eventually	eventually	ADV
cana-5835	259	17	falls	fall	VERB
cana-5835	259	18	to	to	ADP
cana-5835	259	19	zero	zero	NUM
cana-5835	259	20	.	.	PUNCT
cana-5835	260	1	this	this	DET
cana-5835	260	2	figure	figure	NOUN
cana-5835	260	3	also	also	ADV
cana-5835	260	4	indicates	indicate	VERB
cana-5835	260	5	that	that	SCONJ
cana-5835	260	6	the	the	DET
cana-5835	260	7	consideration	consideration	NOUN
cana-5835	260	8	of	of	ADP
cana-5835	260	9	quantum	quantum	ADJ
cana-5835	260	10	effects	effect	NOUN
cana-5835	260	11	causes	cause	VERB
cana-5835	260	12	the	the	DET
cana-5835	260	13	maximum	maximum	ADJ
cana-5835	260	14	gain	gain	NOUN
cana-5835	260	15	point	point	NOUN
cana-5835	260	16	to	to	PART
cana-5835	260	17	shift	shift	VERB
cana-5835	260	18	to	to	ADP
cana-5835	260	19	the	the	DET
cana-5835	260	20	larger	large	ADJ
cana-5835	260	21	value	value	NOUN
cana-5835	260	22	of	of	ADP
cana-5835	260	23	𝜏𝑝	𝜏𝑝	NOUN
cana-5835	260	24	and	and	CCONJ
cana-5835	260	25	expands	expand	VERB
cana-5835	260	26	the	the	DET
cana-5835	260	27	𝜏𝑝	𝜏𝑝	NOUN
cana-5835	260	28	range	range	NOUN
cana-5835	260	29	over	over	ADP
cana-5835	260	30	which	which	PRON
cana-5835	260	31	transient	transient	ADJ
cana-5835	260	32	phenomena	phenomenon	NOUN
cana-5835	260	33	may	may	AUX
cana-5835	260	34	be	be	AUX
cana-5835	260	35	measured	measure	VERB
cana-5835	260	36	.	.	PUNCT
cana-5835	261	1	therefore	therefore	ADV
cana-5835	261	2	,	,	PUNCT
cana-5835	261	3	when	when	SCONJ
cana-5835	261	4	examining	examine	VERB
cana-5835	261	5	the	the	DET
cana-5835	261	6	transient	transient	ADJ
cana-5835	261	7	behaviour	behaviour	NOUN
cana-5835	261	8	of	of	ADP
cana-5835	261	9	brillouin	brillouin	PROPN
cana-5835	261	10	mode	mode	NOUN
cana-5835	261	11	,	,	PUNCT
cana-5835	261	12	it	it	PRON
cana-5835	261	13	would	would	AUX
cana-5835	261	14	be	be	AUX
cana-5835	261	15	desirable	desirable	ADJ
cana-5835	261	16	to	to	PART
cana-5835	261	17	include	include	VERB
cana-5835	261	18	terms	term	NOUN
cana-5835	261	19	which	which	PRON
cana-5835	261	20	correct	correct	VERB
cana-5835	261	21	the	the	DET
cana-5835	261	22	quantum	quantum	ADJ
cana-5835	261	23	condition	condition	NOUN
cana-5835	261	24	from	from	ADP
cana-5835	261	25	eq	eq	PROPN
cana-5835	261	26	.	.	PUNCT
cana-5835	262	1	(	(	PUNCT
cana-5835	262	2	26	26	NUM
cana-5835	262	3	)	)	PUNCT
cana-5835	262	4	,	,	PUNCT
cana-5835	262	5	one	one	PRON
cana-5835	262	6	can	can	AUX
cana-5835	262	7	get	get	VERB
cana-5835	262	8	the	the	DET
cana-5835	262	9	numerical	numerical	ADJ
cana-5835	262	10	approximation	approximation	NOUN
cana-5835	262	11	of	of	ADP
cana-5835	262	12	optimum	optimum	ADJ
cana-5835	262	13	pulse	pulse	NOUN
cana-5835	262	14	duration	duration	NOUN
cana-5835	262	15	(	(	PUNCT
cana-5835	262	16	𝜏𝑝)opt	𝜏𝑝)opt	VERB
cana-5835	262	17	for	for	ADP
cana-5835	262	18	nearly	nearly	ADV
cana-5835	262	19	centrosymmetric	centrosymmetric	ADJ
cana-5835	262	20	crystal	crystal	NOUN
cana-5835	262	21	(	(	PUNCT
cana-5835	262	22	n	n	CCONJ
cana-5835	262	23	−	−	PROPN
cana-5835	262	24	insb	insb	NOUN
cana-5835	262	25	)	)	PUNCT
cana-5835	262	26	(	(	PUNCT
cana-5835	262	27	using	use	VERB
cana-5835	262	28	the	the	DET
cana-5835	262	29	values	value	NOUN
cana-5835	262	30	of	of	ADP
cana-5835	262	31	𝑔𝑇𝐵	𝑔𝑇𝐵	NOUN
cana-5835	262	32	and	and	CCONJ
cana-5835	262	33	𝑔𝐵	𝑔𝐵	NOUN
cana-5835	262	34	obtained	obtain	VERB
cana-5835	262	35	earlier	early	ADV
cana-5835	262	36	and	and	CCONJ
cana-5835	262	37	𝑥	𝑥	NOUN
cana-5835	262	38	=	=	SYM
cana-5835	262	39	3.5	3.5	NUM
cana-5835	262	40	×	×	NOUN
cana-5835	262	41	10−5𝑚	10−5𝑚	NUM
cana-5835	262	42	)	)	PUNCT
cana-5835	262	43	above	above	ADP
cana-5835	262	44	which	which	PRON
cana-5835	262	45	no	no	DET
cana-5835	262	46	gain	gain	NOUN
cana-5835	262	47	is	be	AUX
cana-5835	262	48	possible	possible	ADJ
cana-5835	262	49	,	,	PUNCT
cana-5835	262	50	as	as	SCONJ
cana-5835	262	51	(	(	PUNCT
cana-5835	262	52	𝜏𝑝)𝑜𝑝𝑡	𝜏𝑝)𝑜𝑝𝑡	NOUN
cana-5835	262	53	=	=	SYM
cana-5835	262	54	1.2	1.2	NUM
cana-5835	262	55	×	×	NOUN
cana-5835	262	56	10−10𝑠	10−10𝑠	NUM
cana-5835	262	57	with	with	ADP
cana-5835	262	58	spin	spin	NOUN
cana-5835	262	59	effect	effect	NOUN
cana-5835	262	60	resting	rest	VERB
cana-5835	262	61	on	on	ADP
cana-5835	262	62	these	these	DET
cana-5835	262	63	values	value	NOUN
cana-5835	262	64	an	an	DET
cana-5835	262	65	inference	inference	NOUN
cana-5835	262	66	can	can	AUX
cana-5835	262	67	be	be	AUX
cana-5835	262	68	drawn	draw	VERB
cana-5835	262	69	that	that	SCONJ
cana-5835	262	70	the	the	DET
cana-5835	262	71	rise	rise	NOUN
cana-5835	262	72	in	in	ADP
cana-5835	262	73	magnitude	magnitude	NOUN
cana-5835	262	74	of	of	ADP
cana-5835	262	75	optimum	optimum	ADJ
cana-5835	262	76	pulse	pulse	NOUN
cana-5835	262	77	duration	duration	NOUN
cana-5835	262	78	can	can	AUX
cana-5835	262	79	be	be	AUX
cana-5835	262	80	attributed	attribute	VERB
cana-5835	262	81	to	to	ADP
cana-5835	262	82	both	both	CCONJ
cana-5835	262	83	quantum	quantum	ADJ
cana-5835	262	84	correction	correction	NOUN
cana-5835	262	85	term	term	NOUN
cana-5835	262	86	and	and	CCONJ
cana-5835	262	87	such	such	ADJ
cana-5835	262	88	that	that	SCONJ
cana-5835	262	89	the	the	DET
cana-5835	262	90	optimum	optimum	ADJ
cana-5835	262	91	pulse	pulse	NOUN
cana-5835	262	92	duration	duration	NOUN
cana-5835	262	93	can	can	AUX
cana-5835	262	94	also	also	ADV
cana-5835	262	95	be	be	AUX
cana-5835	262	96	increased	increase	VERB
cana-5835	262	97	by	by	ADP
cana-5835	262	98	increasing	increase	VERB
cana-5835	262	99	the	the	DET
cana-5835	262	100	pump	pump	NOUN
cana-5835	262	101	intensity	intensity	NOUN
cana-5835	262	102	.	.	PUNCT
cana-5835	263	1	4	4	X
cana-5835	263	2	.	.	X
cana-5835	263	3	conclusion	conclusion	VERB
cana-5835	263	4	the	the	DET
cana-5835	263	5	implication	implication	NOUN
cana-5835	263	6	of	of	ADP
cana-5835	263	7	spin	spin	NOUN
cana-5835	263	8	on	on	ADP
cana-5835	263	9	the	the	DET
cana-5835	263	10	steady	steady	ADJ
cana-5835	263	11	state	state	NOUN
cana-5835	263	12	and	and	CCONJ
cana-5835	263	13	transient	transient	ADJ
cana-5835	263	14	characteristics	characteristic	NOUN
cana-5835	263	15	of	of	ADP
cana-5835	263	16	a	a	DET
cana-5835	263	17	stimulated	stimulated	ADJ
cana-5835	263	18	brillouin	brillouin	NOUN
cana-5835	263	19	scattering	scatter	VERB
cana-5835	263	20	light	light	NOUN
cana-5835	263	21	on	on	ADP
cana-5835	263	22	the	the	DET
cana-5835	263	23	semi	semi	ADJ
cana-5835	263	24	-	-	ADJ
cana-5835	263	25	conductor	conductor	ADJ
cana-5835	263	26	plasma	plasma	NOUN
cana-5835	263	27	medium	medium	NOUN
cana-5835	263	28	has	have	AUX
cana-5835	263	29	been	be	AUX
cana-5835	263	30	discussed	discuss	VERB
cana-5835	263	31	in	in	ADP
cana-5835	263	32	the	the	DET
cana-5835	263	33	present	present	ADJ
cana-5835	263	34	paper	paper	NOUN
cana-5835	263	35	based	base	VERB
cana-5835	263	36	on	on	ADP
cana-5835	263	37	quantum	quantum	NOUN
cana-5835	263	38	magneto	magneto	NOUN
cana-5835	263	39	-	-	PUNCT
cana-5835	263	40	hydrodynamic	hydrodynamic	ADJ
cana-5835	263	41	model	model	NOUN
cana-5835	263	42	which	which	PRON
cana-5835	263	43	considers	consider	VERB
cana-5835	263	44	fermi	fermi	NOUN
cana-5835	263	45	pressure	pressure	NOUN
cana-5835	263	46	,	,	PUNCT
cana-5835	263	47	bohm	bohm	PROPN
cana-5835	263	48	potential	potential	NOUN
cana-5835	263	49	and	and	CCONJ
cana-5835	263	50	spin	spin	VERB
cana-5835	263	51	terms	term	NOUN
cana-5835	263	52	.	.	PUNCT
cana-5835	264	1	the	the	DET
cana-5835	264	2	analysis	analysis	NOUN
cana-5835	264	3	demonstrates	demonstrate	VERB
cana-5835	264	4	that	that	SCONJ
cana-5835	264	5	electron	electron	NOUN
cana-5835	264	6	spin	spin	NOUN
cana-5835	264	7	significantly	significantly	ADV
cana-5835	264	8	influences	influence	VERB
cana-5835	264	9	plasma	plasma	NOUN
cana-5835	264	10	's	's	PART
cana-5835	264	11	response	response	NOUN
cana-5835	264	12	to	to	ADP
cana-5835	264	13	an	an	DET
cana-5835	264	14	external	external	ADJ
cana-5835	264	15	magnetic	magnetic	ADJ
cana-5835	264	16	field	field	NOUN
cana-5835	264	17	,	,	PUNCT
cana-5835	264	18	altering	alter	VERB
cana-5835	264	19	its	its	PRON
cana-5835	264	20	gain	gain	NOUN
cana-5835	264	21	characteristics	characteristic	NOUN
cana-5835	264	22	,	,	PUNCT
cana-5835	264	23	thereby	thereby	ADV
cana-5835	264	24	impacting	impact	VERB
cana-5835	264	25	electron	electron	NOUN
cana-5835	264	26	transport	transport	NOUN
cana-5835	264	27	and	and	CCONJ
cana-5835	264	28	enhancing	enhance	VERB
cana-5835	264	29	magnetic	magnetic	ADJ
cana-5835	264	30	properties	property	NOUN
cana-5835	264	31	.	.	PUNCT
cana-5835	265	1	the	the	DET
cana-5835	265	2	role	role	NOUN
cana-5835	265	3	of	of	ADP
cana-5835	265	4	spin	spin	NOUN
cana-5835	265	5	polarization	polarization	NOUN
cana-5835	265	6	,	,	PUNCT
cana-5835	265	7	which	which	PRON
cana-5835	265	8	reflects	reflect	VERB
cana-5835	265	9	the	the	DET
cana-5835	265	10	distribution	distribution	NOUN
cana-5835	265	11	of	of	ADP
cana-5835	265	12	unpaired	unpaired	ADJ
cana-5835	265	13	electrons	electron	NOUN
cana-5835	265	14	,	,	PUNCT
cana-5835	265	15	is	be	AUX
cana-5835	265	16	found	find	VERB
cana-5835	265	17	to	to	PART
cana-5835	265	18	be	be	AUX
cana-5835	265	19	critical	critical	ADJ
cana-5835	265	20	in	in	ADP
cana-5835	265	21	governing	govern	VERB
cana-5835	265	22	the	the	DET
cana-5835	265	23	magnetic	magnetic	ADJ
cana-5835	265	24	behavior	behavior	NOUN
cana-5835	265	25	of	of	ADP
cana-5835	265	26	the	the	DET
cana-5835	265	27	semiconductor	semiconductor	NOUN
cana-5835	265	28	plasma	plasma	NOUN
cana-5835	265	29	under	under	ADP
cana-5835	265	30	such	such	ADJ
cana-5835	265	31	conditions	condition	NOUN
cana-5835	265	32	.	.	PUNCT
cana-5835	266	1	furthermore	furthermore	ADV
cana-5835	266	2	,	,	PUNCT
cana-5835	266	3	the	the	DET
cana-5835	266	4	transient	transient	ADJ
cana-5835	266	5	brillouin	brillouin	NOUN
cana-5835	266	6	gain	gain	NOUN
cana-5835	266	7	profile	profile	NOUN
cana-5835	266	8	reveals	reveal	VERB
cana-5835	266	9	that	that	SCONJ
cana-5835	266	10	sbs	sbs	NOUN
cana-5835	266	11	develops	develop	VERB
cana-5835	266	12	efficiently	efficiently	ADV
cana-5835	266	13	for	for	ADP
cana-5835	266	14	pulse	pulse	NOUN
cana-5835	266	15	durations	duration	NOUN
cana-5835	266	16	shorter	short	ADJ
cana-5835	266	17	than	than	ADP
cana-5835	266	18	the	the	DET
cana-5835	266	19	phonon	phonon	NOUN
cana-5835	266	20	lifetime	lifetime	NOUN
cana-5835	266	21	,	,	PUNCT
cana-5835	266	22	while	while	SCONJ
cana-5835	266	23	it	it	PRON
cana-5835	266	24	is	be	AUX
cana-5835	266	25	suppressed	suppress	VERB
cana-5835	266	26	for	for	ADP
cana-5835	266	27	longer	long	ADJ
cana-5835	266	28	pulses	pulse	NOUN
cana-5835	266	29	.	.	PUNCT
cana-5835	267	1	notably	notably	ADV
cana-5835	267	2	,	,	PUNCT
cana-5835	267	3	the	the	DET
cana-5835	267	4	quantum	quantum	NOUN
cana-5835	267	5	effects	effect	NOUN
cana-5835	267	6	reduce	reduce	VERB
cana-5835	267	7	the	the	DET
cana-5835	267	8	sbs	sbs	NOUN
cana-5835	267	9	threshold	threshold	NOUN
cana-5835	267	10	,	,	PUNCT
cana-5835	267	11	allowing	allow	VERB
cana-5835	267	12	for	for	ADP
cana-5835	267	13	substantial	substantial	ADJ
cana-5835	267	14	brillouin	brillouin	NOUN
cana-5835	267	15	gain	gain	NOUN
cana-5835	267	16	at	at	ADP
cana-5835	267	17	lower	low	ADJ
cana-5835	267	18	laser	laser	NOUN
cana-5835	267	19	powers	power	NOUN
cana-5835	267	20	,	,	PUNCT
cana-5835	267	21	which	which	PRON
cana-5835	267	22	has	have	VERB
cana-5835	267	23	practical	practical	ADJ
cana-5835	267	24	implications	implication	NOUN
cana-5835	267	25	in	in	ADP
cana-5835	267	26	minimizing	minimize	VERB
cana-5835	267	27	power	power	NOUN
cana-5835	267	28	requirements	requirement	NOUN
cana-5835	267	29	and	and	CCONJ
cana-5835	267	30	reducing	reduce	VERB
cana-5835	267	31	the	the	DET
cana-5835	267	32	cost	cost	NOUN
cana-5835	267	33	of	of	ADP
cana-5835	267	34	sbs	sbs	NOUN
cana-5835	267	35	-	-	PUNCT
cana-5835	267	36	based	base	VERB
cana-5835	267	37	device	device	NOUN
cana-5835	267	38	fabrication	fabrication	NOUN
cana-5835	267	39	.	.	PUNCT
cana-5835	268	1	1	1	NUM
cana-5835	268	2	10	10	NUM
cana-5835	268	3	100	100	NUM
cana-5835	268	4	0	0	NUM
cana-5835	268	5	5	5	NUM
cana-5835	268	6	10	10	NUM
cana-5835	268	7	15	15	NUM
cana-5835	268	8	20	20	NUM
cana-5835	268	9	25	25	NUM
cana-5835	268	10	30	30	NUM
cana-5835	268	11	35	35	NUM
cana-5835	268	12			NUM
cana-5835	268	13	=	=	SYM
cana-5835	268	14			PROPN
cana-5835	268	15	(	(	PUNCT
cana-5835	268	16	10	10	NUM
cana-5835	268	17	10	10	NUM
cana-5835	268	18	sec)	sec)	PROPN
cana-5835	268	19			ADP
cana-5835	268	20	t	t	PROPN
cana-5835	268	21	ra	ra	PROPN
cana-5835	268	22	n	n	ADV
cana-5835	268	23	si	si	INTJ
cana-5835	268	24	en	en	ADP
cana-5835	268	25	t	t	PROPN
cana-5835	268	26	g	g	PROPN
cana-5835	268	27	a	a	DET
cana-5835	268	28	in	in	ADP
cana-5835	268	29	(	(	PUNCT
cana-5835	268	30	x	x	SYM
cana-5835	268	31	1	1	NUM
cana-5835	268	32	0	0	NUM
cana-5835	268	33	6	6	NUM
cana-5835	268	34	)	)	PUNCT
cana-5835	268	35	communications	communication	NOUN
cana-5835	268	36	on	on	ADP
cana-5835	268	37	applied	apply	VERB
cana-5835	268	38	nonlinear	nonlinear	ADJ
cana-5835	268	39	analysis	analysis	NOUN
cana-5835	268	40	issn	issn	NOUN
cana-5835	268	41	:	:	PUNCT
cana-5835	268	42	1074	1074	NUM
cana-5835	268	43	-	-	PUNCT
cana-5835	268	44	133x	133x	NUM
cana-5835	268	45	vol	vol	NOUN
cana-5835	268	46	32	32	NUM
cana-5835	268	47	no	no	NOUN
cana-5835	268	48	.	.	NOUN
cana-5835	268	49	1	1	NUM
cana-5835	268	50	(	(	PUNCT
cana-5835	268	51	2025	2025	NUM
cana-5835	268	52	)	)	PUNCT
cana-5835	268	53	https://internationalpubls.com	https://internationalpubls.com	X
cana-5835	269	1	579	579	NUM
cana-5835	269	2	acknowledgment	acknowledgment	NOUN
cana-5835	269	3	the	the	DET
cana-5835	269	4	authors	author	NOUN
cana-5835	269	5	express	express	VERB
cana-5835	269	6	their	their	PRON
cana-5835	269	7	sincere	sincere	ADJ
cana-5835	269	8	gratitude	gratitude	NOUN
cana-5835	269	9	to	to	PART
cana-5835	269	10	prof	prof	PROPN
cana-5835	269	11	.	.	PUNCT
cana-5835	270	1	s.	s.	PROPN
cana-5835	270	2	k.	k.	PROPN
cana-5835	270	3	ghosh	ghosh	PROPN
cana-5835	270	4	and	and	CCONJ
cana-5835	270	5	prof	prof	PROPN
cana-5835	270	6	.	.	PUNCT
cana-5835	271	1	swati	swati	PROPN
cana-5835	271	2	dubey	dubey	PROPN
cana-5835	271	3	for	for	ADP
cana-5835	271	4	their	their	PRON
cana-5835	271	5	invaluable	invaluable	ADJ
cana-5835	271	6	guidance	guidance	NOUN
cana-5835	271	7	,	,	PUNCT
cana-5835	271	8	insightful	insightful	ADJ
cana-5835	271	9	suggestions	suggestion	NOUN
cana-5835	271	10	,	,	PUNCT
cana-5835	271	11	and	and	CCONJ
cana-5835	271	12	unwavering	unwavere	VERB
cana-5835	271	13	support	support	NOUN
cana-5835	271	14	throughout	throughout	ADP
cana-5835	271	15	this	this	DET
cana-5835	271	16	research	research	NOUN
cana-5835	271	17	.	.	PUNCT
cana-5835	272	1	their	their	PRON
cana-5835	272	2	combined	combine	VERB
cana-5835	272	3	efforts	effort	NOUN
cana-5835	272	4	have	have	AUX
cana-5835	272	5	been	be	AUX
cana-5835	272	6	instrumental	instrumental	ADJ
cana-5835	272	7	in	in	ADP
cana-5835	272	8	shaping	shape	VERB
cana-5835	272	9	this	this	DET
cana-5835	272	10	work	work	NOUN
cana-5835	272	11	,	,	PUNCT
cana-5835	272	12	and	and	CCONJ
cana-5835	272	13	we	we	PRON
cana-5835	272	14	deeply	deeply	ADV
cana-5835	272	15	appreciate	appreciate	VERB
cana-5835	272	16	their	their	PRON
cana-5835	272	17	significant	significant	ADJ
cana-5835	272	18	contributions	contribution	NOUN
cana-5835	272	19	.	.	PUNCT
cana-5835	273	1	references	reference	NOUN
cana-5835	273	2	[	[	X
cana-5835	273	3	1	1	NUM
cana-5835	273	4	]	]	PUNCT
cana-5835	273	5	k.	k.	PROPN
cana-5835	273	6	nawata	nawata	PROPN
cana-5835	273	7	,	,	PUNCT
cana-5835	273	8	y.	y.	PROPN
cana-5835	273	9	ojima	ojima	PROPN
cana-5835	273	10	,	,	PUNCT
cana-5835	273	11	m.	m.	NOUN
cana-5835	273	12	okida	okida	PROPN
cana-5835	273	13	,	,	PUNCT
cana-5835	273	14	t.	t.	PROPN
cana-5835	273	15	ogawa	ogawa	PROPN
cana-5835	273	16	,	,	PUNCT
cana-5835	273	17	and	and	CCONJ
cana-5835	273	18	t.	t.	PROPN
cana-5835	273	19	omatsu	omatsu	PROPN
cana-5835	273	20	,	,	PUNCT
cana-5835	273	21	“	"	PUNCT
cana-5835	273	22	optical	optical	ADJ
cana-5835	273	23	trapping	trapping	NOUN
cana-5835	273	24	and	and	CCONJ
cana-5835	273	25	manipulation	manipulation	NOUN
cana-5835	273	26	using	use	VERB
cana-5835	273	27	circularly	circularly	ADV
cana-5835	273	28	polarized	polarize	VERB
cana-5835	273	29	laguerre	laguerre	NOUN
cana-5835	273	30	-	-	PUNCT
cana-5835	273	31	gaussian	gaussian	NOUN
cana-5835	273	32	beams	beam	NOUN
cana-5835	273	33	,	,	PUNCT
cana-5835	273	34	”	"	PUNCT
cana-5835	273	35	optics	optic	NOUN
cana-5835	273	36	express	express	VERB
cana-5835	273	37	,	,	PUNCT
cana-5835	273	38	vol	vol	NOUN
cana-5835	273	39	.	.	PROPN
cana-5835	273	40	14	14	NUM
cana-5835	273	41	,	,	PUNCT
cana-5835	273	42	p.	p.	NOUN
cana-5835	273	43	10657	10657	NUM
cana-5835	273	44	,	,	PUNCT
cana-5835	273	45	2006	2006	NUM
cana-5835	273	46	.	.	PUNCT
cana-5835	274	1	[	[	X
cana-5835	274	2	2	2	NUM
cana-5835	274	3	]	]	PUNCT
cana-5835	274	4	r.	r.	PROPN
cana-5835	274	5	w.	w.	PROPN
cana-5835	274	6	boyd	boyd	PROPN
cana-5835	274	7	,	,	PUNCT
cana-5835	274	8	nonlinear	nonlinear	ADJ
cana-5835	274	9	optics	optic	NOUN
cana-5835	274	10	,	,	PUNCT
cana-5835	274	11	4th	4th	ADJ
cana-5835	274	12	ed	ed	NOUN
cana-5835	274	13	.	.	PROPN
cana-5835	274	14	,	,	PUNCT
cana-5835	274	15	academic	academic	ADJ
cana-5835	274	16	press	press	NOUN
cana-5835	274	17	,	,	PUNCT
cana-5835	274	18	2020	2020	NUM
cana-5835	274	19	.	.	PUNCT
cana-5835	275	1	[	[	X
cana-5835	275	2	3	3	X
cana-5835	275	3	]	]	X
cana-5835	275	4	r.	r.	PROPN
cana-5835	275	5	vanshpal	vanshpal	PROPN
cana-5835	275	6	,	,	PUNCT
cana-5835	275	7	s.	s.	PROPN
cana-5835	275	8	dubey	dubey	PROPN
cana-5835	275	9	,	,	PUNCT
cana-5835	275	10	and	and	CCONJ
cana-5835	275	11	s.	s.	PROPN
cana-5835	275	12	ghosh	ghosh	PROPN
cana-5835	275	13	,	,	PUNCT
cana-5835	275	14	“	"	PUNCT
cana-5835	275	15	stimulated	stimulate	VERB
cana-5835	275	16	brillouin	brillouin	NOUN
cana-5835	275	17	scattering	scattering	NOUN
cana-5835	275	18	in	in	ADP
cana-5835	275	19	semiconductors	semiconductor	NOUN
cana-5835	275	20	:	:	PUNCT
cana-5835	275	21	quantum	quantum	ADJ
cana-5835	275	22	effects	effect	NOUN
cana-5835	275	23	,	,	PUNCT
cana-5835	275	24	”	"	PUNCT
cana-5835	275	25	aip	aip	PROPN
cana-5835	275	26	conference	conference	NOUN
cana-5835	275	27	proceedings	proceeding	NOUN
cana-5835	275	28	,	,	PUNCT
cana-5835	275	29	vol	vol	NOUN
cana-5835	275	30	.	.	PROPN
cana-5835	275	31	1536	1536	NUM
cana-5835	275	32	,	,	PUNCT
cana-5835	275	33	no	no	INTJ
cana-5835	275	34	.	.	NOUN
cana-5835	275	35	1	1	NUM
cana-5835	275	36	,	,	PUNCT
cana-5835	275	37	pp	pp	ADJ
cana-5835	275	38	.	.	PUNCT
cana-5835	276	1	335–336	335–336	NUM
cana-5835	276	2	,	,	PUNCT
cana-5835	276	3	2013	2013	NUM
cana-5835	276	4	.	.	PUNCT
cana-5835	277	1	[	[	X
cana-5835	277	2	4	4	X
cana-5835	277	3	]	]	PUNCT
cana-5835	277	4	v.	v.	ADP
cana-5835	277	5	p.	p.	PROPN
cana-5835	277	6	singh	singh	PROPN
cana-5835	277	7	and	and	CCONJ
cana-5835	277	8	m.	m.	PROPN
cana-5835	277	9	singh	singh	PROPN
cana-5835	277	10	,	,	PUNCT
cana-5835	277	11	“	"	PUNCT
cana-5835	277	12	steady	steady	ADJ
cana-5835	277	13	state	state	NOUN
cana-5835	277	14	and	and	CCONJ
cana-5835	277	15	transient	transient	ADJ
cana-5835	277	16	brillouin	brillouin	NOUN
cana-5835	277	17	gain	gain	NOUN
cana-5835	277	18	in	in	ADP
cana-5835	277	19	narrow	narrow	ADJ
cana-5835	277	20	band	band	NOUN
cana-5835	277	21	-	-	PUNCT
cana-5835	277	22	gap	gap	NOUN
cana-5835	277	23	magnetized	magnetized	ADJ
cana-5835	277	24	semiconductors	semiconductor	NOUN
cana-5835	277	25	,	,	PUNCT
cana-5835	277	26	”	"	PUNCT
cana-5835	277	27	international	international	ADJ
cana-5835	277	28	journal	journal	NOUN
cana-5835	277	29	of	of	ADP
cana-5835	277	30	scientific	scientific	ADJ
cana-5835	277	31	and	and	CCONJ
cana-5835	277	32	research	research	NOUN
cana-5835	277	33	publications	publication	NOUN
cana-5835	277	34	,	,	PUNCT
cana-5835	277	35	vol	vol	NOUN
cana-5835	277	36	.	.	PROPN
cana-5835	277	37	5	5	NUM
cana-5835	277	38	,	,	PUNCT
cana-5835	277	39	no	no	INTJ
cana-5835	277	40	.	.	NOUN
cana-5835	277	41	9	9	NUM
cana-5835	277	42	,	,	PUNCT
cana-5835	277	43	pp	pp	ADJ
cana-5835	277	44	.	.	PUNCT
cana-5835	278	1	1–6	1–6	NUM
cana-5835	278	2	,	,	PUNCT
cana-5835	278	3	2015	2015	NUM
cana-5835	278	4	.	.	PUNCT
cana-5835	279	1	[	[	X
cana-5835	279	2	5	5	NUM
cana-5835	279	3	]	]	PUNCT
cana-5835	279	4	a.	a.	NOUN
cana-5835	279	5	serbeto	serbeto	PROPN
cana-5835	279	6	,	,	PUNCT
cana-5835	279	7	l.	l.	PROPN
cana-5835	279	8	f.	f.	PROPN
cana-5835	279	9	monteiro	monteiro	PROPN
cana-5835	279	10	,	,	PUNCT
cana-5835	279	11	k.	k.	PROPN
cana-5835	279	12	h.	h.	PROPN
cana-5835	279	13	tsui	tsui	PROPN
cana-5835	279	14	,	,	PUNCT
cana-5835	279	15	and	and	CCONJ
cana-5835	279	16	j.	j.	PROPN
cana-5835	279	17	t.	t.	PROPN
cana-5835	279	18	mendonca	mendonca	PROPN
cana-5835	279	19	,	,	PUNCT
cana-5835	279	20	“	"	PUNCT
cana-5835	279	21	nonlinear	nonlinear	ADJ
cana-5835	279	22	wave	wave	NOUN
cana-5835	279	23	interactions	interaction	NOUN
cana-5835	279	24	in	in	ADP
cana-5835	279	25	spin	spin	NOUN
cana-5835	279	26	quantum	quantum	NOUN
cana-5835	279	27	plasmas	plasma	NOUN
cana-5835	279	28	,	,	PUNCT
cana-5835	279	29	”	"	PUNCT
cana-5835	279	30	plasma	plasma	NOUN
cana-5835	279	31	physics	physics	NOUN
cana-5835	279	32	and	and	CCONJ
cana-5835	279	33	controlled	control	VERB
cana-5835	279	34	fusion	fusion	NOUN
cana-5835	279	35	,	,	PUNCT
cana-5835	279	36	vol	vol	NOUN
cana-5835	279	37	.	.	PROPN
cana-5835	279	38	51	51	NUM
cana-5835	279	39	,	,	PUNCT
cana-5835	279	40	p.	p.	NOUN
cana-5835	279	41	124024	124024	NUM
cana-5835	279	42	,	,	PUNCT
cana-5835	279	43	2009	2009	NUM
cana-5835	279	44	.	.	PUNCT
cana-5835	280	1	[	[	X
cana-5835	280	2	6	6	NUM
cana-5835	280	3	]	]	X
cana-5835	280	4	g.	g.	NOUN
cana-5835	280	5	brodin	brodin	PROPN
cana-5835	280	6	and	and	CCONJ
cana-5835	280	7	m.	m.	NOUN
cana-5835	280	8	marklund	marklund	NOUN
cana-5835	280	9	,	,	PUNCT
cana-5835	280	10	“	"	PUNCT
cana-5835	280	11	spin	spin	VERB
cana-5835	280	12	magnetohydrodynamics	magnetohydrodynamic	NOUN
cana-5835	280	13	,	,	PUNCT
cana-5835	280	14	”	"	PUNCT
cana-5835	280	15	new	new	ADJ
cana-5835	280	16	journal	journal	NOUN
cana-5835	280	17	of	of	ADP
cana-5835	280	18	physics	physics	PROPN
cana-5835	280	19	,	,	PUNCT
cana-5835	280	20	vol	vol	NOUN
cana-5835	280	21	.	.	PROPN
cana-5835	280	22	9	9	NUM
cana-5835	280	23	,	,	PUNCT
cana-5835	280	24	p.	p.	NOUN
cana-5835	280	25	277	277	NUM
cana-5835	280	26	,	,	PUNCT
cana-5835	280	27	2007	2007	NUM
cana-5835	280	28	.	.	PUNCT
cana-5835	281	1	[	[	X
cana-5835	281	2	7	7	X
cana-5835	281	3	]	]	PUNCT
cana-5835	281	4	s.	s.	PROPN
cana-5835	281	5	a.	a.	PROPN
cana-5835	281	6	wolf	wolf	PROPN
cana-5835	281	7	et	et	PROPN
cana-5835	281	8	al	al	PROPN
cana-5835	281	9	.	.	PROPN
cana-5835	281	10	,	,	PUNCT
cana-5835	281	11	“	"	PUNCT
cana-5835	281	12	spintronics	spintronic	NOUN
cana-5835	281	13	:	:	PUNCT
cana-5835	281	14	a	a	DET
cana-5835	281	15	spin	spin	NOUN
cana-5835	281	16	-	-	PUNCT
cana-5835	281	17	based	base	VERB
cana-5835	281	18	electronics	electronic	NOUN
cana-5835	281	19	vision	vision	NOUN
cana-5835	281	20	for	for	ADP
cana-5835	281	21	the	the	DET
cana-5835	281	22	future	future	NOUN
cana-5835	281	23	,	,	PUNCT
cana-5835	281	24	”	"	PUNCT
cana-5835	281	25	science	science	NOUN
cana-5835	281	26	,	,	PUNCT
cana-5835	281	27	vol	vol	NOUN
cana-5835	281	28	.	.	PUNCT
cana-5835	281	29	294	294	NUM
cana-5835	281	30	,	,	PUNCT
cana-5835	281	31	pp	pp	ADJ
cana-5835	281	32	.	.	PUNCT
cana-5835	281	33	1488–1495	1488–1495	NUM
cana-5835	281	34	,	,	PUNCT
cana-5835	281	35	2001	2001	NUM
cana-5835	281	36	.	.	PUNCT
cana-5835	282	1	[	[	X
cana-5835	282	2	8	8	NUM
cana-5835	282	3	]	]	X
cana-5835	282	4	i.	i.	NOUN
cana-5835	282	5	žutić	žutić	PROPN
cana-5835	282	6	,	,	PUNCT
cana-5835	282	7	j.	j.	PROPN
cana-5835	282	8	fabian	fabian	PROPN
cana-5835	282	9	,	,	PUNCT
cana-5835	282	10	and	and	CCONJ
cana-5835	282	11	s.	s.	PROPN
cana-5835	282	12	das	das	PROPN
cana-5835	282	13	sarma	sarma	PROPN
cana-5835	282	14	,	,	PUNCT
cana-5835	282	15	“	"	PUNCT
cana-5835	282	16	spintronics	spintronic	NOUN
cana-5835	282	17	:	:	PUNCT
cana-5835	282	18	fundamentals	fundamental	NOUN
cana-5835	282	19	and	and	CCONJ
cana-5835	282	20	applications	application	NOUN
cana-5835	282	21	,	,	PUNCT
cana-5835	282	22	”	"	PUNCT
cana-5835	282	23	reviews	review	NOUN
cana-5835	282	24	of	of	ADP
cana-5835	282	25	modern	modern	ADJ
cana-5835	282	26	physics	physic	NOUN
cana-5835	282	27	,	,	PUNCT
cana-5835	282	28	vol	vol	NOUN
cana-5835	282	29	.	.	PROPN
cana-5835	282	30	76	76	NUM
cana-5835	282	31	,	,	PUNCT
cana-5835	282	32	pp	pp	ADJ
cana-5835	282	33	.	.	PUNCT
cana-5835	283	1	323–410	323–410	NUM
cana-5835	283	2	,	,	PUNCT
cana-5835	283	3	2004	2004	NUM
cana-5835	283	4	.	.	PUNCT
cana-5835	284	1	[	[	X
cana-5835	284	2	9	9	NUM
cana-5835	284	3	]	]	X
cana-5835	284	4	g.	g.	PROPN
cana-5835	284	5	brodin	brodin	PROPN
cana-5835	284	6	,	,	PUNCT
cana-5835	284	7	m.	m.	NOUN
cana-5835	284	8	marklund	marklund	NOUN
cana-5835	284	9	,	,	PUNCT
cana-5835	284	10	and	and	CCONJ
cana-5835	284	11	g.	g.	PROPN
cana-5835	284	12	manfredi	manfredi	PROPN
cana-5835	284	13	,	,	PUNCT
cana-5835	284	14	“	"	PUNCT
cana-5835	284	15	quantum	quantum	ADJ
cana-5835	284	16	hydrodynamics	hydrodynamic	NOUN
cana-5835	284	17	of	of	ADP
cana-5835	284	18	magnetized	magnetize	VERB
cana-5835	284	19	plasmas	plasma	NOUN
cana-5835	284	20	including	include	VERB
cana-5835	284	21	spin	spin	NOUN
cana-5835	284	22	effects	effect	NOUN
cana-5835	284	23	,	,	PUNCT
cana-5835	284	24	”	"	PUNCT
cana-5835	284	25	physical	physical	ADJ
cana-5835	284	26	review	review	NOUN
cana-5835	284	27	letters	letter	NOUN
cana-5835	284	28	,	,	PUNCT
cana-5835	284	29	vol	vol	NOUN
cana-5835	284	30	.	.	PROPN
cana-5835	284	31	100	100	NUM
cana-5835	284	32	,	,	PUNCT
cana-5835	284	33	p.	p.	NOUN
cana-5835	284	34	175001	175001	NUM
cana-5835	284	35	,	,	PUNCT
cana-5835	284	36	2008	2008	NUM
cana-5835	284	37	.	.	PUNCT
cana-5835	285	1	[	[	X
cana-5835	285	2	10	10	NUM
cana-5835	285	3	]	]	X
cana-5835	285	4	g.	g.	PROPN
cana-5835	285	5	manfredi	manfredi	PROPN
cana-5835	285	6	and	and	CCONJ
cana-5835	285	7	f.	f.	PROPN
cana-5835	285	8	haas	haas	PROPN
cana-5835	285	9	,	,	PUNCT
cana-5835	285	10	“	"	PUNCT
cana-5835	285	11	self	self	NOUN
cana-5835	285	12	-	-	PUNCT
cana-5835	285	13	consistent	consistent	ADJ
cana-5835	285	14	fluid	fluid	NOUN
cana-5835	285	15	model	model	NOUN
cana-5835	285	16	for	for	ADP
cana-5835	285	17	a	a	DET
cana-5835	285	18	quantum	quantum	NOUN
cana-5835	285	19	electron	electron	NOUN
cana-5835	285	20	gas	gas	NOUN
cana-5835	285	21	,	,	PUNCT
cana-5835	285	22	”	"	PUNCT
cana-5835	285	23	physical	physical	ADJ
cana-5835	285	24	review	review	NOUN
cana-5835	285	25	b	b	PROPN
cana-5835	285	26	,	,	PUNCT
cana-5835	285	27	vol	vol	NOUN
cana-5835	285	28	.	.	PROPN
cana-5835	285	29	64	64	NUM
cana-5835	285	30	,	,	PUNCT
cana-5835	285	31	p.	p.	NOUN
cana-5835	285	32	075316	075316	NUM
cana-5835	285	33	,	,	PUNCT
cana-5835	285	34	2001	2001	NUM
cana-5835	285	35	.	.	PUNCT
cana-5835	286	1	[	[	X
cana-5835	286	2	11	11	NUM
cana-5835	286	3	]	]	X
cana-5835	286	4	p.	p.	NOUN
cana-5835	286	5	pravesh	pravesh	NOUN
cana-5835	286	6	,	,	PUNCT
cana-5835	286	7	s.	s.	PROPN
cana-5835	286	8	dahiya	dahiya	PROPN
cana-5835	286	9	,	,	PUNCT
cana-5835	286	10	n.	n.	PROPN
cana-5835	286	11	singh	singh	PROPN
cana-5835	286	12	,	,	PUNCT
cana-5835	286	13	and	and	CCONJ
cana-5835	286	14	m.	m.	PROPN
cana-5835	286	15	singh	singh	PROPN
cana-5835	286	16	,	,	PUNCT
cana-5835	286	17	“	"	PUNCT
cana-5835	286	18	dispersion	dispersion	NOUN
cana-5835	286	19	,	,	PUNCT
cana-5835	286	20	threshold	threshold	NOUN
cana-5835	286	21	and	and	CCONJ
cana-5835	286	22	gain	gain	VERB
cana-5835	286	23	characteristics	characteristic	NOUN
cana-5835	286	24	of	of	ADP
cana-5835	286	25	brillouin	brillouin	NOUN
cana-5835	286	26	scattered	scatter	VERB
cana-5835	286	27	stokes	stoke	NOUN
cana-5835	286	28	mode	mode	NOUN
cana-5835	286	29	in	in	ADP
cana-5835	286	30	ion	ion	NOUN
cana-5835	286	31	-	-	PUNCT
cana-5835	286	32	implanted	implant	VERB
cana-5835	286	33	semiconductor	semiconductor	NOUN
cana-5835	286	34	quantum	quantum	NOUN
cana-5835	286	35	plasmas	plasma	NOUN
cana-5835	286	36	,	,	PUNCT
cana-5835	286	37	”	"	PUNCT
cana-5835	286	38	iranian	iranian	ADJ
cana-5835	286	39	journal	journal	PROPN
cana-5835	286	40	of	of	ADP
cana-5835	286	41	science	science	NOUN
cana-5835	286	42	,	,	PUNCT
cana-5835	286	43	vol	vol	NOUN
cana-5835	286	44	.	.	PROPN
cana-5835	286	45	48	48	NUM
cana-5835	286	46	,	,	PUNCT
cana-5835	286	47	pp	pp	ADJ
cana-5835	286	48	.	.	PUNCT
cana-5835	287	1	757–769	757–769	NUM
cana-5835	287	2	,	,	PUNCT
cana-5835	287	3	2024	2024	NUM
cana-5835	287	4	.	.	PUNCT
cana-5835	288	1	[	[	X
cana-5835	288	2	12	12	NUM
cana-5835	288	3	]	]	PUNCT
cana-5835	288	4	s.	s.	PROPN
cana-5835	288	5	a.	a.	PROPN
cana-5835	288	6	maier	maier	PROPN
cana-5835	288	7	,	,	PUNCT
cana-5835	288	8	plasmonics	plasmonic	NOUN
cana-5835	288	9	:	:	PUNCT
cana-5835	288	10	fundamentals	fundamental	NOUN
cana-5835	288	11	and	and	CCONJ
cana-5835	288	12	applications	application	NOUN
cana-5835	288	13	,	,	PUNCT
cana-5835	288	14	springer	springer	NOUN
cana-5835	288	15	,	,	PUNCT
cana-5835	288	16	2007	2007	NUM
cana-5835	288	17	.	.	PUNCT
cana-5835	289	1	[	[	X
cana-5835	289	2	13	13	NUM
cana-5835	289	3	]	]	PUNCT
cana-5835	289	4	a.	a.	NOUN
cana-5835	289	5	yadav	yadav	PROPN
cana-5835	289	6	and	and	CCONJ
cana-5835	289	7	p.	p.	PROPN
cana-5835	289	8	kumar	kumar	PROPN
cana-5835	289	9	,	,	PUNCT
cana-5835	289	10	“	"	PUNCT
cana-5835	289	11	quantum	quantum	ADJ
cana-5835	289	12	effects	effect	NOUN
cana-5835	289	13	in	in	ADP
cana-5835	289	14	piezoelectric	piezoelectric	ADJ
cana-5835	289	15	semiconductor	semiconductor	NOUN
cana-5835	289	16	plasmas	plasma	NOUN
cana-5835	289	17	:	:	PUNCT
cana-5835	289	18	solitons	soliton	NOUN
cana-5835	289	19	and	and	CCONJ
cana-5835	289	20	transmission	transmission	NOUN
cana-5835	289	21	feasibility	feasibility	NOUN
cana-5835	289	22	,	,	PUNCT
cana-5835	289	23	”	"	PUNCT
cana-5835	289	24	arxiv	arxiv	PROPN
cana-5835	289	25	preprint	preprint	NOUN
cana-5835	289	26	,	,	PUNCT
cana-5835	289	27	arxiv:2504.02423	arxiv:2504.02423	NOUN
cana-5835	289	28	,	,	PUNCT
cana-5835	289	29	2025	2025	NUM
cana-5835	289	30	.	.	PUNCT
cana-5835	290	1	[	[	X
cana-5835	290	2	14	14	NUM
cana-5835	290	3	]	]	X
cana-5835	290	4	g.	g.	PROPN
cana-5835	290	5	manfredi	manfredi	PROPN
cana-5835	290	6	,	,	PUNCT
cana-5835	290	7	p.-a	p.-a	PROPN
cana-5835	290	8	.	.	PUNCT
cana-5835	290	9	hervieux	hervieux	PROPN
cana-5835	290	10	,	,	PUNCT
cana-5835	290	11	and	and	CCONJ
cana-5835	290	12	j.	j.	PROPN
cana-5835	290	13	hurst	hurst	PROPN
cana-5835	290	14	,	,	PUNCT
cana-5835	290	15	“	"	PUNCT
cana-5835	290	16	fluid	fluid	ADJ
cana-5835	290	17	descriptions	description	NOUN
cana-5835	290	18	of	of	ADP
cana-5835	290	19	quantum	quantum	NOUN
cana-5835	290	20	plasmas	plasma	NOUN
cana-5835	290	21	,	,	PUNCT
cana-5835	290	22	”	"	PUNCT
cana-5835	290	23	reviews	review	NOUN
cana-5835	290	24	of	of	ADP
cana-5835	290	25	modern	modern	ADJ
cana-5835	290	26	plasma	plasma	NOUN
cana-5835	290	27	physics	physics	NOUN
cana-5835	290	28	,	,	PUNCT
cana-5835	290	29	vol	vol	NOUN
cana-5835	290	30	.	.	PROPN
cana-5835	290	31	5	5	NUM
cana-5835	290	32	,	,	PUNCT
cana-5835	290	33	no	no	INTJ
cana-5835	290	34	.	.	NOUN
cana-5835	290	35	7	7	NUM
cana-5835	290	36	,	,	PUNCT
cana-5835	290	37	pp	pp	ADJ
cana-5835	290	38	.	.	PUNCT
cana-5835	290	39	1–24	1–24	PROPN
cana-5835	290	40	,	,	PUNCT
cana-5835	290	41	2021	2021	NUM
cana-5835	290	42	.	.	PUNCT
cana-5835	291	1	[	[	X
cana-5835	291	2	15	15	NUM
cana-5835	291	3	]	]	X
cana-5835	291	4	ch	ch	NOUN
cana-5835	291	5	.	.	PROPN
cana-5835	291	6	uzma	uzma	PROPN
cana-5835	291	7	,	,	PUNCT
cana-5835	291	8	i.	i.	PROPN
cana-5835	291	9	zeba	zeba	PROPN
cana-5835	291	10	,	,	PUNCT
cana-5835	291	11	h.	h.	PROPN
cana-5835	291	12	a.	a.	NOUN
cana-5835	291	13	shah	shah	PROPN
cana-5835	291	14	,	,	PUNCT
cana-5835	291	15	and	and	CCONJ
cana-5835	291	16	m.	m.	NOUN
cana-5835	291	17	salimullah	salimullah	PROPN
cana-5835	291	18	,	,	PUNCT
cana-5835	291	19	“	"	PUNCT
cana-5835	291	20	modulational	modulational	ADJ
cana-5835	291	21	instability	instability	NOUN
cana-5835	291	22	of	of	ADP
cana-5835	291	23	quantum	quantum	ADJ
cana-5835	291	24	ionacoustic	ionacoustic	ADJ
cana-5835	291	25	waves	wave	NOUN
cana-5835	291	26	,	,	PUNCT
cana-5835	291	27	”	"	PUNCT
cana-5835	291	28	journal	journal	NOUN
cana-5835	291	29	of	of	ADP
cana-5835	291	30	applied	applied	ADJ
cana-5835	291	31	physics	physics	NOUN
cana-5835	291	32	,	,	PUNCT
cana-5835	291	33	vol	vol	NOUN
cana-5835	291	34	.	.	PROPN
cana-5835	291	35	105	105	NUM
cana-5835	291	36	,	,	PUNCT
cana-5835	291	37	p.	p.	NOUN
cana-5835	291	38	013307	013307	NUM
cana-5835	291	39	,	,	PUNCT
cana-5835	291	40	2009	2009	NUM
cana-5835	291	41	.	.	PUNCT
cana-5835	292	1	[	[	X
cana-5835	292	2	16	16	NUM
cana-5835	292	3	]	]	X
cana-5835	292	4	d.	d.	PROPN
cana-5835	292	5	singh	singh	PROPN
cana-5835	292	6	,	,	PUNCT
cana-5835	292	7	b.	b.	PROPN
cana-5835	292	8	s.	s.	PROPN
cana-5835	292	9	sharma	sharma	PROPN
cana-5835	292	10	,	,	PUNCT
cana-5835	292	11	and	and	CCONJ
cana-5835	292	12	m.	m.	PROPN
cana-5835	292	13	singh	singh	PROPN
cana-5835	292	14	,	,	PUNCT
cana-5835	292	15	“	"	PUNCT
cana-5835	292	16	quantum	quantum	ADJ
cana-5835	292	17	effects	effect	NOUN
cana-5835	292	18	on	on	ADP
cana-5835	292	19	threshold	threshold	NOUN
cana-5835	292	20	and	and	CCONJ
cana-5835	292	21	brillouin	brillouin	PROPN
cana-5835	292	22	gain	gain	NOUN
cana-5835	292	23	characteristics	characteristic	NOUN
cana-5835	292	24	of	of	ADP
cana-5835	292	25	semiconductor	semiconductor	NOUN
cana-5835	292	26	magneto	magneto	NOUN
cana-5835	292	27	-	-	PUNCT
cana-5835	292	28	plasmas	plasmas	NOUN
cana-5835	292	29	,	,	PUNCT
cana-5835	292	30	”	"	PUNCT
cana-5835	292	31	journal	journal	NOUN
cana-5835	292	32	of	of	ADP
cana-5835	292	33	optics	optic	NOUN
cana-5835	292	34	,	,	PUNCT
cana-5835	292	35	vol	vol	NOUN
cana-5835	292	36	.	.	PROPN
cana-5835	293	1	51	51	NUM
cana-5835	293	2	,	,	PUNCT
cana-5835	293	3	no	no	INTJ
cana-5835	293	4	.	.	NOUN
cana-5835	293	5	4	4	NUM
cana-5835	293	6	,	,	PUNCT
cana-5835	293	7	pp	pp	ADJ
cana-5835	293	8	.	.	PUNCT
cana-5835	293	9	969	969	NUM
cana-5835	293	10	–	–	PUNCT
cana-5835	293	11	978	978	NUM
cana-5835	293	12	,	,	PUNCT
cana-5835	293	13	2022	2022	NUM
cana-5835	293	14	.	.	PUNCT
cana-5835	294	1	[	[	X
cana-5835	294	2	17	17	NUM
cana-5835	294	3	]	]	PUNCT
cana-5835	294	4	a.	a.	NOUN
cana-5835	294	5	agrawal	agrawal	PROPN
cana-5835	294	6	,	,	PUNCT
cana-5835	294	7	n.	n.	PROPN
cana-5835	294	8	yadav	yadav	PROPN
cana-5835	294	9	,	,	PUNCT
cana-5835	294	10	and	and	CCONJ
cana-5835	294	11	s.	s.	PROPN
cana-5835	294	12	ghosh	ghosh	PROPN
cana-5835	294	13	,	,	PUNCT
cana-5835	294	14	“	"	PUNCT
cana-5835	294	15	study	study	NOUN
cana-5835	294	16	of	of	ADP
cana-5835	294	17	quantum	quantum	ADJ
cana-5835	294	18	effect	effect	NOUN
cana-5835	294	19	in	in	ADP
cana-5835	294	20	stimulated	stimulate	VERB
cana-5835	294	21	brillouin	brillouin	NOUN
cana-5835	294	22	scattering	scatter	VERB
cana-5835	294	23	magnetized	magnetized	ADJ
cana-5835	294	24	semiconductor	semiconductor	NOUN
cana-5835	294	25	plasma	plasma	NOUN
cana-5835	294	26	with	with	ADP
cana-5835	294	27	high	high	ADJ
cana-5835	294	28	dielectric	dielectric	ADJ
cana-5835	294	29	constant	constant	ADJ
cana-5835	294	30	,	,	PUNCT
cana-5835	294	31	”	"	PUNCT
cana-5835	294	32	in	in	ADP
cana-5835	294	33	aip	aip	PROPN
cana-5835	294	34	conference	conference	NOUN
cana-5835	294	35	proceedings	proceeding	NOUN
cana-5835	294	36	,	,	PUNCT
cana-5835	294	37	vol	vol	NOUN
cana-5835	294	38	.	.	PROPN
cana-5835	294	39	2224	2224	NUM
cana-5835	294	40	,	,	PUNCT
cana-5835	294	41	no	no	INTJ
cana-5835	294	42	.	.	NOUN
cana-5835	294	43	1	1	NUM
cana-5835	294	44	,	,	PUNCT
cana-5835	294	45	2020	2020	NUM
cana-5835	294	46	.	.	PUNCT
cana-5835	295	1	communications	communication	NOUN
cana-5835	295	2	on	on	ADP
cana-5835	295	3	applied	apply	VERB
cana-5835	295	4	nonlinear	nonlinear	ADJ
cana-5835	295	5	analysis	analysis	NOUN
cana-5835	295	6	issn	issn	NOUN
cana-5835	295	7	:	:	PUNCT
cana-5835	295	8	1074	1074	NUM
cana-5835	295	9	-	-	PUNCT
cana-5835	295	10	133x	133x	NUM
cana-5835	295	11	vol	vol	NOUN
cana-5835	295	12	32	32	NUM
cana-5835	295	13	no	no	NOUN
cana-5835	295	14	.	.	NOUN
cana-5835	295	15	1	1	NUM
cana-5835	295	16	(	(	PUNCT
cana-5835	295	17	2025	2025	NUM
cana-5835	295	18	)	)	PUNCT
cana-5835	295	19	https://internationalpubls.com	https://internationalpubls.com	X
cana-5835	296	1	580	580	NUM
cana-5835	296	2	[	[	SYM
cana-5835	296	3	18	18	NUM
cana-5835	296	4	]	]	X
cana-5835	296	5	s.	s.	PROPN
cana-5835	296	6	guha	guha	PROPN
cana-5835	296	7	,	,	PUNCT
cana-5835	296	8	p.	p.	PROPN
cana-5835	296	9	k.	k.	PROPN
cana-5835	297	1	sen	sen	PROPN
cana-5835	297	2	,	,	PUNCT
cana-5835	297	3	and	and	CCONJ
cana-5835	297	4	s.	s.	PROPN
cana-5835	297	5	ghosh	ghosh	PROPN
cana-5835	297	6	,	,	PUNCT
cana-5835	297	7	“	"	PUNCT
cana-5835	297	8	plasmon	plasmon	ADJ
cana-5835	297	9	resonance	resonance	NOUN
cana-5835	297	10	in	in	ADP
cana-5835	297	11	spin	spin	NOUN
cana-5835	297	12	-	-	PUNCT
cana-5835	297	13	polarized	polarize	VERB
cana-5835	297	14	semiconductors	semiconductor	NOUN
cana-5835	297	15	,	,	PUNCT
cana-5835	297	16	”	"	PUNCT
cana-5835	297	17	physica	physica	NOUN
cana-5835	297	18	status	status	NOUN
cana-5835	297	19	solidi	solidi	NOUN
cana-5835	297	20	(	(	PUNCT
cana-5835	297	21	a	a	NOUN
cana-5835	297	22	)	)	PUNCT
cana-5835	297	23	,	,	PUNCT
cana-5835	297	24	vol	vol	NOUN
cana-5835	297	25	.	.	PROPN
cana-5835	297	26	52	52	NUM
cana-5835	297	27	,	,	PUNCT
cana-5835	297	28	p.	p.	NOUN
cana-5835	297	29	407	407	NUM
cana-5835	297	30	,	,	PUNCT
cana-5835	297	31	1979	1979	NUM
cana-5835	297	32	.	.	PUNCT
cana-5835	298	1	[	[	X
cana-5835	298	2	19	19	NUM
cana-5835	298	3	]	]	X
cana-5835	298	4	g.	g.	PROPN
cana-5835	298	5	manfredi	manfredi	PROPN
cana-5835	298	6	,	,	PUNCT
cana-5835	298	7	“	"	PUNCT
cana-5835	298	8	how	how	SCONJ
cana-5835	298	9	to	to	PART
cana-5835	298	10	model	model	VERB
cana-5835	298	11	quantum	quantum	ADJ
cana-5835	298	12	plasmas	plasma	NOUN
cana-5835	298	13	,	,	PUNCT
cana-5835	298	14	”	"	PUNCT
cana-5835	298	15	fields	fields	PROPN
cana-5835	298	16	institute	institute	PROPN
cana-5835	298	17	communications	communication	NOUN
cana-5835	298	18	,	,	PUNCT
cana-5835	298	19	vol	vol	NOUN
cana-5835	298	20	.	.	PROPN
cana-5835	298	21	46	46	NUM
cana-5835	298	22	,	,	PUNCT
cana-5835	298	23	p.	p.	NOUN
cana-5835	298	24	263	263	NUM
cana-5835	298	25	,	,	PUNCT
cana-5835	298	26	2005	2005	NUM
cana-5835	298	27	.	.	PUNCT
cana-5835	299	1	[	[	X
cana-5835	299	2	20	20	NUM
cana-5835	299	3	]	]	PUNCT
cana-5835	299	4	a.	a.	NOUN
cana-5835	299	5	kumar	kumar	PROPN
cana-5835	299	6	,	,	PUNCT
cana-5835	299	7	s.	s.	PROPN
cana-5835	299	8	dahiya	dahiya	PROPN
cana-5835	299	9	,	,	PUNCT
cana-5835	299	10	d.	d.	PROPN
cana-5835	299	11	singh	singh	PROPN
cana-5835	299	12	,	,	PUNCT
cana-5835	299	13	and	and	CCONJ
cana-5835	299	14	m.	m.	PROPN
cana-5835	299	15	singh	singh	PROPN
cana-5835	299	16	,	,	PUNCT
cana-5835	299	17	“	"	PUNCT
cana-5835	299	18	quantum	quantum	ADJ
cana-5835	299	19	effects	effect	NOUN
cana-5835	299	20	on	on	ADP
cana-5835	299	21	brillouin	brillouin	NOUN
cana-5835	299	22	gain	gain	NOUN
cana-5835	299	23	characteristics	characteristic	NOUN
cana-5835	299	24	of	of	ADP
cana-5835	299	25	magnetized	magnetized	ADJ
cana-5835	299	26	semiconductor	semiconductor	NOUN
cana-5835	299	27	-	-	PUNCT
cana-5835	299	28	plasmas	plasmas	NOUN
cana-5835	299	29	,	,	PUNCT
cana-5835	299	30	”	"	PUNCT
cana-5835	299	31	brazilian	brazilian	ADJ
cana-5835	299	32	journal	journal	NOUN
cana-5835	299	33	of	of	ADP
cana-5835	299	34	physics	physics	PROPN
cana-5835	299	35	,	,	PUNCT
cana-5835	299	36	vol	vol	NOUN
cana-5835	299	37	.	.	PROPN
cana-5835	299	38	54	54	NUM
cana-5835	299	39	,	,	PUNCT
cana-5835	299	40	no	no	INTJ
cana-5835	299	41	.	.	NOUN
cana-5835	299	42	1	1	NUM
cana-5835	299	43	,	,	PUNCT
cana-5835	299	44	p.	p.	NOUN
cana-5835	299	45	3	3	NUM
cana-5835	299	46	,	,	PUNCT
cana-5835	299	47	2024	2024	NUM
cana-5835	299	48	.	.	PUNCT
cana-5835	300	1	[	[	X
cana-5835	300	2	21	21	NUM
cana-5835	300	3	]	]	PUNCT
cana-5835	300	4	p.	p.	NOUN
cana-5835	300	5	k.	k.	PROPN
cana-5835	301	1	gupta	gupta	PROPN
cana-5835	301	2	and	and	CCONJ
cana-5835	301	3	p.	p.	PROPN
cana-5835	301	4	k.	k.	PROPN
cana-5835	302	1	sen	sen	PROPN
cana-5835	302	2	,	,	PUNCT
cana-5835	302	3	“	"	PUNCT
cana-5835	302	4	carrier	carrier	NOUN
cana-5835	302	5	dynamics	dynamic	NOUN
cana-5835	302	6	in	in	ADP
cana-5835	302	7	quantum	quantum	ADJ
cana-5835	302	8	wells	well	NOUN
cana-5835	302	9	,	,	PUNCT
cana-5835	302	10	”	"	PUNCT
cana-5835	302	11	physical	physical	ADJ
cana-5835	302	12	review	review	NOUN
cana-5835	302	13	b	b	PROPN
cana-5835	302	14	,	,	PUNCT
cana-5835	302	15	vol	vol	NOUN
cana-5835	302	16	.	.	PROPN
cana-5835	302	17	33	33	NUM
cana-5835	302	18	,	,	PUNCT
cana-5835	302	19	p.	p.	NOUN
cana-5835	302	20	1427	1427	NUM
cana-5835	302	21	,	,	PUNCT
cana-5835	302	22	1986	1986	NUM
cana-5835	302	23	.	.	PUNCT
cana-5835	303	1	[	[	X
cana-5835	303	2	22	22	NUM
cana-5835	303	3	]	]	PUNCT
cana-5835	303	4	j.	j.	PROPN
cana-5835	303	5	r.	r.	PROPN
cana-5835	303	6	apel	apel	PROPN
cana-5835	303	7	,	,	PUNCT
cana-5835	303	8	t.	t.	PROPN
cana-5835	303	9	o.	o.	PROPN
cana-5835	303	10	poehler	poehler	PROPN
cana-5835	303	11	,	,	PUNCT
cana-5835	303	12	c.	c.	PROPN
cana-5835	303	13	r.	r.	PROPN
cana-5835	303	14	westgate	westgate	PROPN
cana-5835	303	15	,	,	PUNCT
cana-5835	303	16	and	and	CCONJ
cana-5835	303	17	r.	r.	PROPN
cana-5835	303	18	i.	i.	PROPN
cana-5835	303	19	joseph	joseph	PROPN
cana-5835	303	20	,	,	PUNCT
cana-5835	303	21	“	"	PUNCT
cana-5835	303	22	electric	electric	ADJ
cana-5835	303	23	field	field	NOUN
cana-5835	303	24	-	-	PUNCT
cana-5835	303	25	induced	induce	VERB
cana-5835	303	26	optical	optical	ADJ
cana-5835	303	27	absorption	absorption	NOUN
cana-5835	303	28	in	in	ADP
cana-5835	303	29	gaas	gaas	NOUN
cana-5835	303	30	,	,	PUNCT
cana-5835	303	31	”	"	PUNCT
cana-5835	303	32	physical	physical	ADJ
cana-5835	303	33	review	review	NOUN
cana-5835	303	34	b	b	PROPN
cana-5835	303	35	,	,	PUNCT
cana-5835	303	36	vol	vol	NOUN
cana-5835	303	37	.	.	NOUN
cana-5835	303	38	4	4	NUM
cana-5835	303	39	,	,	PUNCT
cana-5835	303	40	p.	p.	NOUN
cana-5835	303	41	436	436	NUM
cana-5835	303	42	,	,	PUNCT
cana-5835	303	43	1971	1971	NUM
cana-5835	303	44	.	.	PUNCT
cana-5835	304	1	[	[	X
cana-5835	304	2	23	23	NUM
cana-5835	304	3	]	]	X
cana-5835	304	4	g.	g.	PROPN
cana-5835	304	5	s.	s.	PROPN
cana-5835	304	6	he	he	PRON
cana-5835	304	7	and	and	CCONJ
cana-5835	304	8	s.	s.	PROPN
cana-5835	304	9	h.	h.	PROPN
cana-5835	304	10	liu	liu	PROPN
cana-5835	304	11	,	,	PUNCT
cana-5835	304	12	physics	physics	PROPN
cana-5835	304	13	of	of	ADP
cana-5835	304	14	nonlinear	nonlinear	ADJ
cana-5835	304	15	optics	optic	NOUN
cana-5835	304	16	,	,	PUNCT
cana-5835	304	17	world	world	NOUN
cana-5835	304	18	scientific	scientific	NOUN
cana-5835	304	19	,	,	PUNCT
cana-5835	304	20	1999	1999	NUM
cana-5835	304	21	.	.	PUNCT
cana-5835	305	1	[	[	X
cana-5835	305	2	24	24	NUM
cana-5835	305	3	]	]	PUNCT
cana-5835	305	4	r.	r.	PROPN
cana-5835	305	5	y.	y.	PROPN
cana-5835	305	6	chiao	chiao	PROPN
cana-5835	305	7	,	,	PUNCT
cana-5835	305	8	e.	e.	PROPN
cana-5835	305	9	garmire	garmire	PROPN
cana-5835	305	10	,	,	PUNCT
cana-5835	305	11	and	and	CCONJ
cana-5835	305	12	c.	c.	PROPN
cana-5835	305	13	h.	h.	PROPN
cana-5835	305	14	townes	townes	PROPN
cana-5835	305	15	,	,	PUNCT
cana-5835	305	16	“	"	PUNCT
cana-5835	305	17	self	self	NOUN
cana-5835	305	18	-	-	PUNCT
cana-5835	305	19	trapping	trapping	NOUN
cana-5835	305	20	of	of	ADP
cana-5835	305	21	optical	optical	ADJ
cana-5835	305	22	beams	beam	NOUN
cana-5835	305	23	,	,	PUNCT
cana-5835	305	24	”	"	PUNCT
cana-5835	305	25	physical	physical	ADJ
cana-5835	305	26	review	review	NOUN
cana-5835	305	27	letters	letter	NOUN
cana-5835	305	28	,	,	PUNCT
cana-5835	305	29	vol	vol	NOUN
cana-5835	305	30	.	.	PROPN
cana-5835	305	31	13	13	NUM
cana-5835	305	32	,	,	PUNCT
cana-5835	305	33	p.	p.	NOUN
cana-5835	305	34	479	479	NUM
cana-5835	305	35	,	,	PUNCT
cana-5835	305	36	1964	1964	NUM
cana-5835	305	37	.	.	PUNCT
cana-5835	306	1	[	[	X
cana-5835	306	2	25	25	NUM
cana-5835	306	3	]	]	X
cana-5835	306	4	r.	r.	PROPN
cana-5835	306	5	l.	l.	PROPN
cana-5835	306	6	bayer	bayer	PROPN
cana-5835	306	7	,	,	PUNCT
cana-5835	306	8	nonlinear	nonlinear	ADJ
cana-5835	306	9	optics	optic	NOUN
cana-5835	306	10	,	,	PUNCT
cana-5835	306	11	academic	academic	ADJ
cana-5835	306	12	press	press	NOUN
cana-5835	306	13	,	,	PUNCT
cana-5835	306	14	london	london	PROPN
cana-5835	306	15	,	,	PUNCT
cana-5835	306	16	1975	1975	NUM
cana-5835	306	17	,	,	PUNCT
cana-5835	306	18	p.	p.	NOUN
cana-5835	306	19	47	47	NUM
cana-5835	306	20	;	;	PUNCT
cana-5835	306	21	r.	r.	PROPN
cana-5835	306	22	l.	l.	PROPN
cana-5835	306	23	sutherland	sutherland	PROPN
cana-5835	306	24	,	,	PUNCT
cana-5835	306	25	handbook	handbook	NOUN
cana-5835	306	26	of	of	ADP
cana-5835	306	27	nonlinear	nonlinear	ADJ
cana-5835	306	28	optics	optic	NOUN
cana-5835	306	29	,	,	PUNCT
cana-5835	306	30	2nd	2nd	ADJ
cana-5835	306	31	ed	ed	NOUN
cana-5835	306	32	.	.	PROPN
cana-5835	306	33	,	,	PUNCT
cana-5835	306	34	marcel	marcel	PROPN
cana-5835	306	35	dekker	dekker	PROPN
cana-5835	306	36	,	,	PUNCT
cana-5835	306	37	new	new	PROPN
cana-5835	306	38	york	york	PROPN
cana-5835	306	39	,	,	PUNCT
cana-5835	306	40	2003	2003	NUM
cana-5835	306	41	,	,	PUNCT
cana-5835	306	42	ch	ch	NOUN
cana-5835	306	43	.	.	PROPN
cana-5835	306	44	15	15	NUM
cana-5835	306	45	.	.	PUNCT
cana-5835	307	1	[	[	X
cana-5835	307	2	26	26	NUM
cana-5835	307	3	]	]	X
cana-5835	307	4	d.	d.	PROPN
cana-5835	307	5	l.	l.	PROPN
cana-5835	307	6	rode	ride	VERB
cana-5835	307	7	,	,	PUNCT
cana-5835	307	8	“	"	PUNCT
cana-5835	307	9	carrier	carrier	NOUN
cana-5835	307	10	scattering	scatter	VERB
cana-5835	307	11	in	in	ADP
cana-5835	307	12	semiconductors	semiconductor	NOUN
cana-5835	307	13	,	,	PUNCT
cana-5835	307	14	”	"	PUNCT
cana-5835	307	15	in	in	ADP
cana-5835	307	16	semiconductors	semiconductor	NOUN
cana-5835	307	17	and	and	CCONJ
cana-5835	307	18	semimetals	semimetal	NOUN
cana-5835	307	19	,	,	PUNCT
cana-5835	307	20	vol	vol	NOUN
cana-5835	307	21	.	.	PROPN
cana-5835	307	22	1	1	NUM
cana-5835	307	23	,	,	PUNCT
cana-5835	307	24	academic	academic	ADJ
cana-5835	307	25	press	press	NOUN
cana-5835	307	26	,	,	PUNCT
cana-5835	307	27	new	new	PROPN
cana-5835	307	28	york	york	PROPN
cana-5835	307	29	,	,	PUNCT
cana-5835	307	30	1975	1975	NUM
cana-5835	307	31	,	,	PUNCT
cana-5835	307	32	ch	ch	NOUN
cana-5835	307	33	.	.	PROPN
cana-5835	307	34	1	1	NUM
cana-5835	307	35	.	.	PUNCT
cana-5835	308	1	[	[	X
cana-5835	308	2	27	27	NUM
cana-5835	308	3	]	]	X
cana-5835	308	4	g.	g.	PROPN
cana-5835	308	5	sharma	sharma	PROPN
cana-5835	308	6	and	and	CCONJ
cana-5835	308	7	s.	s.	PROPN
cana-5835	308	8	ghosh	ghosh	PROPN
cana-5835	308	9	,	,	PUNCT
cana-5835	308	10	“	"	PUNCT
cana-5835	308	11	stimulated	stimulate	VERB
cana-5835	308	12	brillouin	brillouin	NOUN
cana-5835	308	13	scattering	scattering	NOUN
cana-5835	308	14	in	in	ADP
cana-5835	308	15	a	a	DET
cana-5835	308	16	magnetoactive	magnetoactive	ADJ
cana-5835	308	17	iii	iii	NOUN
cana-5835	308	18	–	–	PUNCT
cana-5835	308	19	v	v	NOUN
cana-5835	308	20	semiconductor	semiconductor	NOUN
cana-5835	308	21	:	:	PUNCT
cana-5835	308	22	effects	effect	NOUN
cana-5835	308	23	of	of	ADP
cana-5835	308	24	carrier	carrier	NOUN
cana-5835	308	25	heating	heating	NOUN
cana-5835	308	26	,	,	PUNCT
cana-5835	308	27	”	"	PUNCT
cana-5835	308	28	physica	physica	PROPN
cana-5835	308	29	b	b	PROPN
cana-5835	308	30	:	:	PUNCT
cana-5835	308	31	condensed	condensed	ADJ
cana-5835	308	32	matter	matter	NOUN
cana-5835	308	33	,	,	PUNCT
cana-5835	308	34	vol	vol	NOUN
cana-5835	308	35	.	.	PROPN
cana-5835	308	36	322	322	NUM
cana-5835	308	37	,	,	PUNCT
cana-5835	308	38	no	no	INTJ
cana-5835	308	39	.	.	PUNCT
cana-5835	309	1	1–2	1–2	NUM
cana-5835	309	2	,	,	PUNCT
cana-5835	309	3	pp	pp	ADJ
cana-5835	309	4	.	.	PUNCT
cana-5835	310	1	42–50	42–50	NUM
cana-5835	310	2	,	,	PUNCT
cana-5835	310	3	2002	2002	NUM
cana-5835	310	4	.	.	PUNCT