id	sid	tid	token	lemma	pos
ap-4608	1	1	acta	acta	PROPN
ap-4608	1	2	polytechnica	polytechnica	PROPN
ap-4608	1	3	doi:10.14311	doi:10.14311	PROPN
ap-4608	1	4	/	/	SYM
ap-4608	1	5	ap.2017.57.0399	ap.2017.57.0399	PROPN
ap-4608	1	6	acta	acta	PROPN
ap-4608	1	7	polytechnica	polytechnica	PROPN
ap-4608	1	8	57(6):399–403	57(6):399–403	PROPN
ap-4608	1	9	,	,	PUNCT
ap-4608	1	10	2017	2017	NUM
ap-4608	1	11	©	©	PROPN
ap-4608	1	12	czech	czech	PROPN
ap-4608	1	13	technical	technical	PROPN
ap-4608	1	14	university	university	PROPN
ap-4608	1	15	in	in	ADP
ap-4608	1	16	prague	prague	PROPN
ap-4608	1	17	,	,	PUNCT
ap-4608	1	18	2017	2017	NUM
ap-4608	1	19	available	available	ADJ
ap-4608	1	20	online	online	ADV
ap-4608	1	21	at	at	ADP
ap-4608	1	22	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-4608	1	23	lambert	lambert	NOUN
ap-4608	1	24	function	function	NOUN
ap-4608	1	25	methods	method	NOUN
ap-4608	1	26	for	for	ADP
ap-4608	1	27	laser	laser	NOUN
ap-4608	1	28	dynamics	dynamic	NOUN
ap-4608	1	29	with	with	ADP
ap-4608	1	30	time	time	NOUN
ap-4608	1	31	-	-	PUNCT
ap-4608	1	32	delayed	delay	VERB
ap-4608	1	33	feedback	feedback	NOUN
ap-4608	1	34	yogesh	yogesh	PROPN
ap-4608	1	35	n.	n.	PROPN
ap-4608	1	36	joglekar∗	joglekar∗	PROPN
ap-4608	1	37	,	,	PUNCT
ap-4608	1	38	andrew	andrew	PROPN
ap-4608	1	39	wilkey	wilkey	PROPN
ap-4608	1	40	,	,	PUNCT
ap-4608	1	41	gautam	gautam	PROPN
ap-4608	1	42	vemuri	vemuri	PROPN
ap-4608	1	43	department	department	PROPN
ap-4608	1	44	of	of	ADP
ap-4608	1	45	physics	physics	PROPN
ap-4608	1	46	,	,	PUNCT
ap-4608	1	47	indiana	indiana	PROPN
ap-4608	1	48	university	university	PROPN
ap-4608	1	49	purdue	purdue	PROPN
ap-4608	1	50	university	university	PROPN
ap-4608	1	51	indianapolis	indianapolis	PROPN
ap-4608	1	52	(	(	PUNCT
ap-4608	1	53	iupui	iupui	PROPN
ap-4608	1	54	)	)	PUNCT
ap-4608	1	55	,	,	PUNCT
ap-4608	1	56	indianapolis	indianapolis	PROPN
ap-4608	1	57	46202	46202	PROPN
ap-4608	1	58	indiana	indiana	PROPN
ap-4608	1	59	,	,	PUNCT
ap-4608	1	60	usa	usa	PROPN
ap-4608	1	61	∗	∗	PROPN
ap-4608	1	62	corresponding	correspond	VERB
ap-4608	1	63	author	author	NOUN
ap-4608	1	64	:	:	PUNCT
ap-4608	1	65	yojoglek@iupui.edu	yojoglek@iupui.edu	PROPN
ap-4608	1	66	abstract	abstract	ADJ
ap-4608	1	67	.	.	PUNCT
ap-4608	2	1	time	time	NOUN
ap-4608	2	2	-	-	PUNCT
ap-4608	2	3	delayed	delay	VERB
ap-4608	2	4	differential	differential	ADJ
ap-4608	2	5	equations	equation	NOUN
ap-4608	2	6	arise	arise	VERB
ap-4608	2	7	frequently	frequently	ADV
ap-4608	2	8	in	in	ADP
ap-4608	2	9	the	the	DET
ap-4608	2	10	study	study	NOUN
ap-4608	2	11	of	of	ADP
ap-4608	2	12	nonlinear	nonlinear	ADJ
ap-4608	2	13	dynamics	dynamic	NOUN
ap-4608	2	14	of	of	ADP
ap-4608	2	15	lasers	laser	NOUN
ap-4608	2	16	with	with	ADP
ap-4608	2	17	optical	optical	ADJ
ap-4608	2	18	feedback	feedback	NOUN
ap-4608	2	19	.	.	PUNCT
ap-4608	3	1	traditionally	traditionally	ADV
ap-4608	3	2	,	,	PUNCT
ap-4608	3	3	one	one	PRON
ap-4608	3	4	has	have	AUX
ap-4608	3	5	resorted	resort	VERB
ap-4608	3	6	to	to	ADP
ap-4608	3	7	numerical	numerical	ADJ
ap-4608	3	8	methods	method	NOUN
ap-4608	3	9	because	because	SCONJ
ap-4608	3	10	the	the	DET
ap-4608	3	11	analytical	analytical	ADJ
ap-4608	3	12	solution	solution	NOUN
ap-4608	3	13	of	of	ADP
ap-4608	3	14	such	such	ADJ
ap-4608	3	15	equations	equation	NOUN
ap-4608	3	16	are	be	AUX
ap-4608	3	17	intractable	intractable	ADJ
ap-4608	3	18	.	.	PUNCT
ap-4608	4	1	in	in	ADP
ap-4608	4	2	this	this	DET
ap-4608	4	3	manuscript	manuscript	NOUN
ap-4608	4	4	,	,	PUNCT
ap-4608	4	5	we	we	PRON
ap-4608	4	6	show	show	VERB
ap-4608	4	7	that	that	SCONJ
ap-4608	4	8	under	under	ADP
ap-4608	4	9	some	some	DET
ap-4608	4	10	conditions	condition	NOUN
ap-4608	4	11	,	,	PUNCT
ap-4608	4	12	the	the	DET
ap-4608	4	13	rate	rate	NOUN
ap-4608	4	14	equations	equation	NOUN
ap-4608	4	15	model	model	NOUN
ap-4608	4	16	that	that	PRON
ap-4608	4	17	is	be	AUX
ap-4608	4	18	used	use	VERB
ap-4608	4	19	to	to	PART
ap-4608	4	20	model	model	VERB
ap-4608	4	21	semiconductor	semiconductor	NOUN
ap-4608	4	22	lasers	laser	NOUN
ap-4608	4	23	with	with	ADP
ap-4608	4	24	feedback	feedback	NOUN
ap-4608	4	25	can	can	AUX
ap-4608	4	26	be	be	AUX
ap-4608	4	27	analytically	analytically	ADV
ap-4608	4	28	solved	solve	VERB
ap-4608	4	29	by	by	ADP
ap-4608	4	30	using	use	VERB
ap-4608	4	31	the	the	DET
ap-4608	4	32	lambert	lambert	PROPN
ap-4608	4	33	w	w	PROPN
ap-4608	4	34	-function	-function	PROPN
ap-4608	4	35	.	.	PUNCT
ap-4608	5	1	in	in	ADP
ap-4608	5	2	particular	particular	ADJ
ap-4608	5	3	,	,	PUNCT
ap-4608	5	4	we	we	PRON
ap-4608	5	5	discuss	discuss	VERB
ap-4608	5	6	the	the	DET
ap-4608	5	7	conditions	condition	NOUN
ap-4608	5	8	under	under	ADP
ap-4608	5	9	which	which	PRON
ap-4608	5	10	the	the	DET
ap-4608	5	11	coupled	couple	VERB
ap-4608	5	12	rate	rate	NOUN
ap-4608	5	13	equations	equation	NOUN
ap-4608	5	14	for	for	ADP
ap-4608	5	15	the	the	DET
ap-4608	5	16	intra	intra	ADJ
ap-4608	5	17	-	-	ADJ
ap-4608	5	18	cavity	cavity	NOUN
ap-4608	5	19	electric	electric	ADJ
ap-4608	5	20	field	field	NOUN
ap-4608	5	21	and	and	CCONJ
ap-4608	5	22	excess	excess	ADJ
ap-4608	5	23	carrier	carrier	NOUN
ap-4608	5	24	inversion	inversion	NOUN
ap-4608	5	25	can	can	AUX
ap-4608	5	26	be	be	AUX
ap-4608	5	27	reduced	reduce	VERB
ap-4608	5	28	to	to	ADP
ap-4608	5	29	a	a	DET
ap-4608	5	30	single	single	ADJ
ap-4608	5	31	equation	equation	NOUN
ap-4608	5	32	for	for	ADP
ap-4608	5	33	the	the	DET
ap-4608	5	34	field	field	NOUN
ap-4608	5	35	,	,	PUNCT
ap-4608	5	36	and	and	CCONJ
ap-4608	5	37	how	how	SCONJ
ap-4608	5	38	this	this	DET
ap-4608	5	39	single	single	ADJ
ap-4608	5	40	rate	rate	NOUN
ap-4608	5	41	equation	equation	NOUN
ap-4608	5	42	can	can	AUX
ap-4608	5	43	be	be	AUX
ap-4608	5	44	cast	cast	VERB
ap-4608	5	45	in	in	ADP
ap-4608	5	46	a	a	DET
ap-4608	5	47	form	form	NOUN
ap-4608	5	48	that	that	PRON
ap-4608	5	49	is	be	AUX
ap-4608	5	50	amenable	amenable	ADJ
ap-4608	5	51	to	to	ADP
ap-4608	5	52	the	the	DET
ap-4608	5	53	use	use	NOUN
ap-4608	5	54	of	of	ADP
ap-4608	5	55	the	the	DET
ap-4608	5	56	lambert	lambert	PROPN
ap-4608	5	57	w	w	PROPN
ap-4608	5	58	-function	-function	PROPN
ap-4608	5	59	.	.	PUNCT
ap-4608	6	1	we	we	PRON
ap-4608	6	2	conclude	conclude	VERB
ap-4608	6	3	the	the	DET
ap-4608	6	4	manuscript	manuscript	NOUN
ap-4608	6	5	with	with	ADP
ap-4608	6	6	a	a	DET
ap-4608	6	7	similar	similar	ADJ
ap-4608	6	8	discussion	discussion	NOUN
ap-4608	6	9	for	for	ADP
ap-4608	6	10	two	two	NUM
ap-4608	6	11	lasers	laser	NOUN
ap-4608	6	12	coupled	couple	VERB
ap-4608	6	13	via	via	ADP
ap-4608	6	14	time	time	NOUN
ap-4608	6	15	-	-	PUNCT
ap-4608	6	16	delayed	delay	VERB
ap-4608	6	17	feedbacks	feedback	NOUN
ap-4608	6	18	.	.	PUNCT
ap-4608	7	1	keywords	keyword	NOUN
ap-4608	7	2	:	:	PUNCT
ap-4608	7	3	time	time	NOUN
ap-4608	7	4	-	-	PUNCT
ap-4608	7	5	delayed	delay	VERB
ap-4608	7	6	differential	differential	ADJ
ap-4608	7	7	equations	equation	NOUN
ap-4608	7	8	;	;	PUNCT
ap-4608	7	9	lambert	lambert	PROPN
ap-4608	7	10	function	function	PROPN
ap-4608	7	11	;	;	PUNCT
ap-4608	7	12	lasers	laser	NOUN
ap-4608	7	13	.	.	PUNCT
ap-4608	8	1	1	1	X
ap-4608	8	2	.	.	X
ap-4608	8	3	introduction	introduction	NOUN
ap-4608	8	4	time	time	NOUN
ap-4608	8	5	-	-	PUNCT
ap-4608	8	6	delayed	delay	VERB
ap-4608	8	7	differential	differential	ADJ
ap-4608	8	8	equations	equation	NOUN
ap-4608	8	9	arise	arise	VERB
ap-4608	8	10	naturally	naturally	ADV
ap-4608	8	11	in	in	ADP
ap-4608	8	12	a	a	DET
ap-4608	8	13	wide	wide	ADJ
ap-4608	8	14	variety	variety	NOUN
ap-4608	8	15	of	of	ADP
ap-4608	8	16	physical	physical	ADJ
ap-4608	8	17	phenomena	phenomenon	NOUN
ap-4608	8	18	where	where	SCONJ
ap-4608	8	19	one	one	NUM
ap-4608	8	20	or	or	CCONJ
ap-4608	8	21	more	more	ADJ
ap-4608	8	22	system	system	NOUN
ap-4608	8	23	parameters	parameter	NOUN
ap-4608	8	24	are	be	AUX
ap-4608	8	25	fed	feed	VERB
ap-4608	8	26	back	back	ADV
ap-4608	8	27	into	into	ADP
ap-4608	8	28	the	the	DET
ap-4608	8	29	system	system	NOUN
ap-4608	8	30	after	after	ADP
ap-4608	8	31	a	a	DET
ap-4608	8	32	certain	certain	ADJ
ap-4608	8	33	amount	amount	NOUN
ap-4608	8	34	of	of	ADP
ap-4608	8	35	time	time	NOUN
ap-4608	8	36	.	.	PUNCT
ap-4608	9	1	such	such	ADJ
ap-4608	9	2	time	time	NOUN
ap-4608	9	3	-	-	PUNCT
ap-4608	9	4	delayed	delay	VERB
ap-4608	9	5	feedbacks	feedback	NOUN
ap-4608	9	6	are	be	AUX
ap-4608	9	7	seen	see	VERB
ap-4608	9	8	in	in	ADP
ap-4608	9	9	population	population	NOUN
ap-4608	9	10	behaviors	behavior	NOUN
ap-4608	9	11	in	in	ADP
ap-4608	9	12	biology	biology	NOUN
ap-4608	9	13	and	and	CCONJ
ap-4608	9	14	ecology	ecology	NOUN
ap-4608	10	1	[	[	X
ap-4608	10	2	1–3	1–3	NOUN
ap-4608	10	3	]	]	X
ap-4608	10	4	,	,	PUNCT
ap-4608	10	5	chemical	chemical	ADJ
ap-4608	10	6	reactions	reaction	NOUN
ap-4608	10	7	[	[	X
ap-4608	10	8	4	4	NUM
ap-4608	10	9	]	]	PUNCT
ap-4608	10	10	,	,	PUNCT
ap-4608	10	11	interactions	interaction	NOUN
ap-4608	10	12	between	between	ADP
ap-4608	10	13	time	time	NOUN
ap-4608	10	14	-	-	PUNCT
ap-4608	10	15	delayed	delay	VERB
ap-4608	10	16	non	non	ADJ
ap-4608	10	17	-	-	ADJ
ap-4608	10	18	markovian	markovian	ADJ
ap-4608	10	19	laser	laser	NOUN
ap-4608	10	20	fields	field	NOUN
ap-4608	10	21	and	and	CCONJ
ap-4608	10	22	resonant	resonant	ADJ
ap-4608	10	23	media	medium	NOUN
ap-4608	10	24	[	[	X
ap-4608	10	25	5	5	NUM
ap-4608	10	26	]	]	PUNCT
ap-4608	10	27	and	and	CCONJ
ap-4608	10	28	a	a	DET
ap-4608	10	29	host	host	NOUN
ap-4608	10	30	of	of	ADP
ap-4608	10	31	nonlinear	nonlinear	ADJ
ap-4608	10	32	dynamical	dynamical	ADJ
ap-4608	10	33	systems	system	NOUN
ap-4608	11	1	[	[	X
ap-4608	11	2	6	6	NUM
ap-4608	11	3	]	]	PUNCT
ap-4608	11	4	.	.	PUNCT
ap-4608	12	1	one	one	NUM
ap-4608	12	2	of	of	ADP
ap-4608	12	3	the	the	DET
ap-4608	12	4	more	more	ADV
ap-4608	12	5	prominent	prominent	ADJ
ap-4608	12	6	examples	example	NOUN
ap-4608	12	7	of	of	ADP
ap-4608	12	8	a	a	DET
ap-4608	12	9	physical	physical	ADJ
ap-4608	12	10	system	system	NOUN
ap-4608	12	11	with	with	ADP
ap-4608	12	12	time	time	NOUN
ap-4608	12	13	-	-	PUNCT
ap-4608	12	14	delayed	delay	VERB
ap-4608	12	15	feedback	feedback	NOUN
ap-4608	12	16	is	be	AUX
ap-4608	12	17	a	a	DET
ap-4608	12	18	laser	laser	NOUN
ap-4608	12	19	wherein	wherein	SCONJ
ap-4608	12	20	the	the	DET
ap-4608	12	21	light	light	NOUN
ap-4608	12	22	emitted	emit	VERB
ap-4608	12	23	by	by	ADP
ap-4608	12	24	a	a	DET
ap-4608	12	25	laser	laser	NOUN
ap-4608	12	26	is	be	AUX
ap-4608	12	27	injected	inject	VERB
ap-4608	12	28	back	back	ADV
ap-4608	12	29	into	into	ADP
ap-4608	12	30	the	the	DET
ap-4608	12	31	laser	laser	NOUN
ap-4608	12	32	by	by	ADP
ap-4608	12	33	reflection	reflection	NOUN
ap-4608	12	34	from	from	ADP
ap-4608	12	35	a	a	DET
ap-4608	12	36	distant	distant	ADJ
ap-4608	12	37	mirror	mirror	NOUN
ap-4608	12	38	outside	outside	ADP
ap-4608	12	39	the	the	DET
ap-4608	12	40	laser	laser	NOUN
ap-4608	12	41	cavity	cavity	NOUN
ap-4608	12	42	[	[	X
ap-4608	12	43	7	7	NUM
ap-4608	12	44	]	]	PUNCT
ap-4608	12	45	.	.	PUNCT
ap-4608	13	1	the	the	DET
ap-4608	13	2	mathematical	mathematical	ADJ
ap-4608	13	3	model	model	NOUN
ap-4608	13	4	for	for	ADP
ap-4608	13	5	a	a	DET
ap-4608	13	6	time	time	NOUN
ap-4608	13	7	-	-	PUNCT
ap-4608	13	8	delayed	delay	VERB
ap-4608	13	9	feedback	feedback	NOUN
ap-4608	13	10	system	system	NOUN
ap-4608	13	11	often	often	ADV
ap-4608	13	12	reduces	reduce	VERB
ap-4608	13	13	to	to	ADP
ap-4608	13	14	a	a	DET
ap-4608	13	15	first	first	ADJ
ap-4608	13	16	order	order	NOUN
ap-4608	13	17	differential	differential	ADJ
ap-4608	13	18	equation	equation	NOUN
ap-4608	13	19	with	with	ADP
ap-4608	13	20	a	a	DET
ap-4608	13	21	time	time	NOUN
ap-4608	13	22	-	-	PUNCT
ap-4608	13	23	delayed	delay	VERB
ap-4608	13	24	term	term	NOUN
ap-4608	13	25	,	,	PUNCT
ap-4608	13	26	and	and	CCONJ
ap-4608	13	27	the	the	DET
ap-4608	13	28	analytical	analytical	ADJ
ap-4608	13	29	solution	solution	NOUN
ap-4608	13	30	of	of	ADP
ap-4608	13	31	such	such	ADJ
ap-4608	13	32	differential	differential	ADJ
ap-4608	13	33	equations	equation	NOUN
ap-4608	13	34	can	can	AUX
ap-4608	13	35	be	be	AUX
ap-4608	13	36	difficult	difficult	ADJ
ap-4608	13	37	because	because	SCONJ
ap-4608	13	38	one	one	PRON
ap-4608	13	39	has	have	VERB
ap-4608	13	40	to	to	PART
ap-4608	13	41	deal	deal	VERB
ap-4608	13	42	with	with	ADP
ap-4608	13	43	an	an	DET
ap-4608	13	44	infinite	infinite	ADJ
ap-4608	13	45	-	-	PUNCT
ap-4608	13	46	dimensional	dimensional	ADJ
ap-4608	13	47	equation	equation	NOUN
ap-4608	13	48	.	.	PUNCT
ap-4608	14	1	in	in	ADP
ap-4608	14	2	this	this	DET
ap-4608	14	3	article	article	NOUN
ap-4608	14	4	,	,	PUNCT
ap-4608	14	5	we	we	PRON
ap-4608	14	6	demonstrate	demonstrate	VERB
ap-4608	14	7	that	that	SCONJ
ap-4608	14	8	the	the	DET
ap-4608	14	9	lambert	lambert	PROPN
ap-4608	14	10	w	w	PROPN
ap-4608	14	11	-function	-function	PROPN
ap-4608	14	12	[	[	NOUN
ap-4608	14	13	8	8	NUM
ap-4608	14	14	]	]	PUNCT
ap-4608	14	15	can	can	AUX
ap-4608	14	16	be	be	AUX
ap-4608	14	17	invoked	invoke	VERB
ap-4608	14	18	in	in	ADP
ap-4608	14	19	some	some	DET
ap-4608	14	20	situations	situation	NOUN
ap-4608	14	21	to	to	PART
ap-4608	14	22	obtain	obtain	VERB
ap-4608	14	23	analytical	analytical	ADJ
ap-4608	14	24	solutions	solution	NOUN
ap-4608	14	25	to	to	ADP
ap-4608	14	26	time	time	NOUN
ap-4608	14	27	-	-	PUNCT
ap-4608	14	28	delayed	delay	VERB
ap-4608	14	29	equations	equation	NOUN
ap-4608	14	30	of	of	ADP
ap-4608	14	31	physical	physical	ADJ
ap-4608	14	32	interest	interest	NOUN
ap-4608	14	33	,	,	PUNCT
ap-4608	14	34	and	and	CCONJ
ap-4608	14	35	explore	explore	VERB
ap-4608	14	36	some	some	PRON
ap-4608	14	37	of	of	ADP
ap-4608	14	38	the	the	DET
ap-4608	14	39	consequences	consequence	NOUN
ap-4608	14	40	of	of	ADP
ap-4608	14	41	using	use	VERB
ap-4608	14	42	this	this	DET
ap-4608	14	43	method	method	NOUN
ap-4608	14	44	.	.	PUNCT
ap-4608	15	1	for	for	ADP
ap-4608	15	2	the	the	DET
ap-4608	15	3	sake	sake	NOUN
ap-4608	15	4	of	of	ADP
ap-4608	15	5	concreteness	concreteness	NOUN
ap-4608	15	6	,	,	PUNCT
ap-4608	15	7	we	we	PRON
ap-4608	15	8	focus	focus	VERB
ap-4608	15	9	on	on	ADP
ap-4608	15	10	the	the	DET
ap-4608	15	11	problem	problem	NOUN
ap-4608	15	12	of	of	ADP
ap-4608	15	13	a	a	DET
ap-4608	15	14	semiconductor	semiconductor	NOUN
ap-4608	15	15	laser	laser	NOUN
ap-4608	15	16	that	that	PRON
ap-4608	15	17	is	be	AUX
ap-4608	15	18	subject	subject	ADJ
ap-4608	15	19	to	to	ADP
ap-4608	15	20	timedelayed	timedelayed	ADJ
ap-4608	15	21	feedback	feedback	NOUN
ap-4608	15	22	of	of	ADP
ap-4608	15	23	light	light	NOUN
ap-4608	15	24	into	into	ADP
ap-4608	15	25	the	the	DET
ap-4608	15	26	laser	laser	NOUN
ap-4608	15	27	[	[	X
ap-4608	15	28	9	9	NUM
ap-4608	15	29	]	]	PUNCT
ap-4608	15	30	.	.	PUNCT
ap-4608	16	1	lasers	laser	NOUN
ap-4608	16	2	with	with	ADP
ap-4608	16	3	time	time	NOUN
ap-4608	16	4	-	-	PUNCT
ap-4608	16	5	delayed	delay	VERB
ap-4608	16	6	feedback	feedback	NOUN
ap-4608	16	7	are	be	AUX
ap-4608	16	8	a	a	DET
ap-4608	16	9	paradigm	paradigm	NOUN
ap-4608	16	10	for	for	ADP
ap-4608	16	11	the	the	DET
ap-4608	16	12	study	study	NOUN
ap-4608	16	13	of	of	ADP
ap-4608	16	14	time	time	NOUN
ap-4608	16	15	-	-	PUNCT
ap-4608	16	16	delayed	delay	VERB
ap-4608	16	17	systems	system	NOUN
ap-4608	16	18	in	in	ADP
ap-4608	16	19	part	part	NOUN
ap-4608	16	20	because	because	SCONJ
ap-4608	16	21	the	the	DET
ap-4608	16	22	delay	delay	NOUN
ap-4608	16	23	can	can	AUX
ap-4608	16	24	be	be	AUX
ap-4608	16	25	easily	easily	ADV
ap-4608	16	26	controlled	control	VERB
ap-4608	16	27	,	,	PUNCT
ap-4608	16	28	which	which	PRON
ap-4608	16	29	allows	allow	VERB
ap-4608	16	30	one	one	NUM
ap-4608	16	31	to	to	PART
ap-4608	16	32	study	study	VERB
ap-4608	16	33	the	the	DET
ap-4608	16	34	behavior	behavior	NOUN
ap-4608	16	35	of	of	ADP
ap-4608	16	36	the	the	DET
ap-4608	16	37	system	system	NOUN
ap-4608	16	38	for	for	ADP
ap-4608	16	39	delays	delay	NOUN
ap-4608	16	40	that	that	PRON
ap-4608	16	41	are	be	AUX
ap-4608	16	42	shorter	short	ADJ
ap-4608	16	43	than	than	ADP
ap-4608	16	44	the	the	DET
ap-4608	16	45	intrinsic	intrinsic	ADJ
ap-4608	16	46	time	time	NOUN
ap-4608	16	47	-	-	PUNCT
ap-4608	16	48	scales	scale	NOUN
ap-4608	16	49	of	of	ADP
ap-4608	16	50	the	the	DET
ap-4608	16	51	laser	laser	NOUN
ap-4608	16	52	as	as	ADV
ap-4608	16	53	well	well	ADV
ap-4608	16	54	as	as	ADP
ap-4608	16	55	for	for	ADP
ap-4608	16	56	delays	delay	NOUN
ap-4608	16	57	that	that	PRON
ap-4608	16	58	are	be	AUX
ap-4608	16	59	longer	long	ADJ
ap-4608	16	60	than	than	ADP
ap-4608	16	61	the	the	DET
ap-4608	16	62	natural	natural	ADJ
ap-4608	16	63	time	time	NOUN
ap-4608	16	64	scales	scale	NOUN
ap-4608	16	65	of	of	ADP
ap-4608	16	66	the	the	DET
ap-4608	16	67	isolated	isolated	ADJ
ap-4608	16	68	laser	laser	NOUN
ap-4608	16	69	system	system	NOUN
ap-4608	16	70	.	.	PUNCT
ap-4608	17	1	such	such	ADJ
ap-4608	17	2	lasers	laser	NOUN
ap-4608	17	3	are	be	AUX
ap-4608	17	4	of	of	ADP
ap-4608	17	5	fundamental	fundamental	ADJ
ap-4608	17	6	interest	interest	NOUN
ap-4608	17	7	due	due	ADP
ap-4608	17	8	to	to	ADP
ap-4608	17	9	the	the	DET
ap-4608	17	10	variety	variety	NOUN
ap-4608	17	11	of	of	ADP
ap-4608	17	12	nonlinear	nonlinear	ADJ
ap-4608	17	13	dynamical	dynamical	ADJ
ap-4608	17	14	behaviors	behavior	NOUN
ap-4608	17	15	that	that	PRON
ap-4608	17	16	arise	arise	VERB
ap-4608	17	17	as	as	ADP
ap-4608	17	18	a	a	DET
ap-4608	17	19	function	function	NOUN
ap-4608	17	20	of	of	ADP
ap-4608	17	21	the	the	DET
ap-4608	17	22	time	time	NOUN
ap-4608	17	23	-	-	PUNCT
ap-4608	17	24	delay	delay	NOUN
ap-4608	17	25	and	and	CCONJ
ap-4608	17	26	the	the	DET
ap-4608	17	27	strength	strength	NOUN
ap-4608	17	28	of	of	ADP
ap-4608	17	29	the	the	DET
ap-4608	17	30	feedback	feedback	NOUN
ap-4608	17	31	[	[	X
ap-4608	17	32	10	10	NUM
ap-4608	17	33	]	]	PUNCT
ap-4608	17	34	.	.	PUNCT
ap-4608	18	1	in	in	ADP
ap-4608	18	2	particular	particular	ADJ
ap-4608	18	3	,	,	PUNCT
ap-4608	18	4	there	there	PRON
ap-4608	18	5	are	be	VERB
ap-4608	18	6	combinations	combination	NOUN
ap-4608	18	7	of	of	ADP
ap-4608	18	8	delay	delay	NOUN
ap-4608	18	9	and	and	CCONJ
ap-4608	18	10	feedback	feedback	NOUN
ap-4608	18	11	strengths	strength	NOUN
ap-4608	18	12	that	that	PRON
ap-4608	18	13	produce	produce	VERB
ap-4608	18	14	single	single	ADJ
ap-4608	18	15	-	-	PUNCT
ap-4608	18	16	tone	tone	NOUN
ap-4608	18	17	oscillations	oscillation	NOUN
ap-4608	18	18	in	in	ADP
ap-4608	18	19	the	the	DET
ap-4608	18	20	optical	optical	ADJ
ap-4608	18	21	frequency	frequency	NOUN
ap-4608	18	22	of	of	ADP
ap-4608	18	23	the	the	DET
ap-4608	18	24	laser	laser	NOUN
ap-4608	18	25	,	,	PUNCT
ap-4608	18	26	period	period	NOUN
ap-4608	18	27	doubling	double	VERB
ap-4608	18	28	routes	route	NOUN
ap-4608	18	29	to	to	PART
ap-4608	18	30	chaos	chaos	VERB
ap-4608	18	31	,	,	PUNCT
ap-4608	18	32	and	and	CCONJ
ap-4608	18	33	coherence	coherence	NOUN
ap-4608	18	34	collapse	collapse	NOUN
ap-4608	18	35	and	and	CCONJ
ap-4608	18	36	line	line	NOUN
ap-4608	18	37	-	-	PUNCT
ap-4608	18	38	narrowing	narrowing	NOUN
ap-4608	18	39	.	.	PUNCT
ap-4608	19	1	each	each	PRON
ap-4608	19	2	of	of	ADP
ap-4608	19	3	these	these	DET
ap-4608	19	4	dynamical	dynamical	ADJ
ap-4608	19	5	responses	response	NOUN
ap-4608	19	6	have	have	AUX
ap-4608	19	7	been	be	AUX
ap-4608	19	8	studied	study	VERB
ap-4608	19	9	for	for	ADP
ap-4608	19	10	a	a	DET
ap-4608	19	11	variety	variety	NOUN
ap-4608	19	12	of	of	ADP
ap-4608	19	13	applications	application	NOUN
ap-4608	19	14	such	such	ADJ
ap-4608	19	15	as	as	ADP
ap-4608	19	16	the	the	DET
ap-4608	19	17	development	development	NOUN
ap-4608	19	18	of	of	ADP
ap-4608	19	19	stable	stable	ADJ
ap-4608	19	20	,	,	PUNCT
ap-4608	19	21	all	all	ADV
ap-4608	19	22	-	-	ADJ
ap-4608	19	23	optical	optical	ADJ
ap-4608	19	24	microwave	microwave	NOUN
ap-4608	19	25	frequency	frequency	NOUN
ap-4608	19	26	oscillators	oscillator	NOUN
ap-4608	19	27	,	,	PUNCT
ap-4608	19	28	chaotic	chaotic	ADJ
ap-4608	19	29	synchronization	synchronization	NOUN
ap-4608	19	30	for	for	ADP
ap-4608	19	31	all	all	ADV
ap-4608	19	32	-	-	PUNCT
ap-4608	19	33	optical	optical	ADJ
ap-4608	19	34	encryption	encryption	NOUN
ap-4608	19	35	,	,	PUNCT
ap-4608	19	36	and	and	CCONJ
ap-4608	19	37	stable	stable	ADJ
ap-4608	19	38	,	,	PUNCT
ap-4608	19	39	narrow	narrow	ADJ
ap-4608	19	40	line	line	NOUN
ap-4608	19	41	-	-	PUNCT
ap-4608	19	42	width	width	NOUN
ap-4608	19	43	lasers	laser	NOUN
ap-4608	19	44	[	[	X
ap-4608	19	45	11	11	NUM
ap-4608	19	46	]	]	PUNCT
ap-4608	19	47	.	.	PUNCT
ap-4608	20	1	another	another	DET
ap-4608	20	2	system	system	NOUN
ap-4608	20	3	that	that	PRON
ap-4608	20	4	has	have	AUX
ap-4608	20	5	been	be	AUX
ap-4608	20	6	of	of	ADP
ap-4608	20	7	immense	immense	ADJ
ap-4608	20	8	interest	interest	NOUN
ap-4608	20	9	to	to	ADP
ap-4608	20	10	the	the	DET
ap-4608	20	11	semiconductor	semiconductor	NOUN
ap-4608	20	12	laser	laser	NOUN
ap-4608	20	13	community	community	NOUN
ap-4608	20	14	is	be	AUX
ap-4608	20	15	the	the	DET
ap-4608	20	16	coupling	coupling	NOUN
ap-4608	20	17	of	of	ADP
ap-4608	20	18	two	two	NUM
ap-4608	20	19	lasers	laser	NOUN
ap-4608	20	20	by	by	ADP
ap-4608	20	21	mutual	mutual	ADJ
ap-4608	20	22	injection	injection	NOUN
ap-4608	20	23	of	of	ADP
ap-4608	20	24	light	light	NOUN
ap-4608	20	25	from	from	ADP
ap-4608	20	26	each	each	DET
ap-4608	20	27	laser	laser	NOUN
ap-4608	20	28	into	into	ADP
ap-4608	20	29	the	the	DET
ap-4608	20	30	other	other	ADJ
ap-4608	20	31	[	[	X
ap-4608	20	32	13	13	NUM
ap-4608	20	33	]	]	PUNCT
ap-4608	20	34	.	.	PUNCT
ap-4608	21	1	these	these	DET
ap-4608	21	2	systems	system	NOUN
ap-4608	21	3	have	have	VERB
ap-4608	21	4	a	a	DET
ap-4608	21	5	natural	natural	ADJ
ap-4608	21	6	time	time	NOUN
ap-4608	21	7	-	-	PUNCT
ap-4608	21	8	delay	delay	NOUN
ap-4608	21	9	built	build	VERB
ap-4608	21	10	into	into	ADP
ap-4608	21	11	them	they	PRON
ap-4608	21	12	due	due	ADP
ap-4608	21	13	to	to	ADP
ap-4608	21	14	the	the	DET
ap-4608	21	15	finite	finite	ADJ
ap-4608	21	16	amount	amount	NOUN
ap-4608	21	17	of	of	ADP
ap-4608	21	18	time	time	NOUN
ap-4608	21	19	it	it	PRON
ap-4608	21	20	takes	take	VERB
ap-4608	21	21	for	for	ADP
ap-4608	21	22	the	the	DET
ap-4608	21	23	light	light	NOUN
ap-4608	21	24	from	from	ADP
ap-4608	21	25	one	one	NUM
ap-4608	21	26	laser	laser	NOUN
ap-4608	21	27	to	to	PART
ap-4608	21	28	reach	reach	VERB
ap-4608	21	29	the	the	DET
ap-4608	21	30	other	other	ADJ
ap-4608	21	31	laser	laser	NOUN
ap-4608	21	32	due	due	ADP
ap-4608	21	33	to	to	ADP
ap-4608	21	34	the	the	DET
ap-4608	21	35	physical	physical	ADJ
ap-4608	21	36	separation	separation	NOUN
ap-4608	21	37	between	between	ADP
ap-4608	21	38	the	the	DET
ap-4608	21	39	lasers	laser	NOUN
ap-4608	21	40	.	.	PUNCT
ap-4608	22	1	2	2	X
ap-4608	22	2	.	.	X
ap-4608	22	3	lang	lang	PROPN
ap-4608	22	4	–	–	PUNCT
ap-4608	22	5	kobayashi	kobayashi	PROPN
ap-4608	22	6	equations	equations	PROPN
ap-4608	22	7	semiconductor	semiconductor	NOUN
ap-4608	22	8	lasers	laser	NOUN
ap-4608	22	9	are	be	AUX
ap-4608	22	10	usually	usually	ADV
ap-4608	22	11	modeled	model	VERB
ap-4608	22	12	by	by	ADP
ap-4608	22	13	the	the	DET
ap-4608	22	14	lang	lang	PROPN
ap-4608	22	15	–	–	PUNCT
ap-4608	22	16	kobayashi	kobayashi	PROPN
ap-4608	22	17	equations	equation	NOUN
ap-4608	22	18	[	[	X
ap-4608	22	19	14	14	NUM
ap-4608	22	20	]	]	PUNCT
ap-4608	22	21	which	which	PRON
ap-4608	22	22	are	be	AUX
ap-4608	22	23	known	know	VERB
ap-4608	22	24	to	to	PART
ap-4608	22	25	describe	describe	VERB
ap-4608	22	26	the	the	DET
ap-4608	22	27	experimentally	experimentally	ADV
ap-4608	22	28	observed	observe	VERB
ap-4608	22	29	behavior	behavior	NOUN
ap-4608	22	30	of	of	ADP
ap-4608	22	31	these	these	DET
ap-4608	22	32	lasers	laser	NOUN
ap-4608	22	33	very	very	ADV
ap-4608	22	34	well	well	ADV
ap-4608	22	35	.	.	PUNCT
ap-4608	23	1	for	for	ADP
ap-4608	23	2	a	a	DET
ap-4608	23	3	single	single	ADJ
ap-4608	23	4	-	-	PUNCT
ap-4608	23	5	mode	mode	NOUN
ap-4608	23	6	laser	laser	NOUN
ap-4608	23	7	,	,	PUNCT
ap-4608	23	8	these	these	DET
ap-4608	23	9	equations	equation	NOUN
ap-4608	23	10	describe	describe	VERB
ap-4608	23	11	the	the	DET
ap-4608	23	12	coupled	couple	VERB
ap-4608	23	13	time	time	NOUN
ap-4608	23	14	evolution	evolution	NOUN
ap-4608	23	15	of	of	ADP
ap-4608	23	16	the	the	DET
ap-4608	23	17	electric	electric	ADJ
ap-4608	23	18	field	field	NOUN
ap-4608	23	19	and	and	CCONJ
ap-4608	23	20	the	the	DET
ap-4608	23	21	excess	excess	ADJ
ap-4608	23	22	carrier	carrier	NOUN
ap-4608	23	23	inversion	inversion	NOUN
ap-4608	23	24	inside	inside	ADP
ap-4608	23	25	a	a	DET
ap-4608	23	26	laser	laser	NOUN
ap-4608	23	27	cavity	cavity	NOUN
ap-4608	23	28	.	.	PUNCT
ap-4608	24	1	in	in	ADP
ap-4608	24	2	the	the	DET
ap-4608	24	3	slowly	slowly	ADV
ap-4608	24	4	-	-	PUNCT
ap-4608	24	5	varying	vary	VERB
ap-4608	24	6	envelope	envelope	NOUN
ap-4608	24	7	approximation	approximation	NOUN
ap-4608	24	8	,	,	PUNCT
ap-4608	24	9	these	these	DET
ap-4608	24	10	equations	equation	NOUN
ap-4608	24	11	in	in	ADP
ap-4608	24	12	the	the	DET
ap-4608	24	13	non	non	ADJ
ap-4608	24	14	-	-	ADJ
ap-4608	24	15	dimensional	dimensional	ADJ
ap-4608	24	16	form	form	NOUN
ap-4608	24	17	are	be	AUX
ap-4608	24	18	de	de	X
ap-4608	24	19	dt	dt	NOUN
ap-4608	24	20	=	=	PUNCT
ap-4608	24	21	(	(	PUNCT
ap-4608	24	22	1	1	NUM
ap-4608	24	23	+	+	SYM
ap-4608	24	24	iα)ζn(t)e(t	iα)ζn(t)e(t	NOUN
ap-4608	24	25	)	)	PUNCT
ap-4608	25	1	+	+	CCONJ
ap-4608	25	2	κe(t−	κe(t−	PROPN
ap-4608	25	3	τ	τ	PROPN
ap-4608	25	4	)	)	PUNCT
ap-4608	25	5	,	,	PUNCT
ap-4608	25	6	(	(	PUNCT
ap-4608	25	7	1	1	X
ap-4608	25	8	)	)	PUNCT
ap-4608	25	9	t	t	NOUN
ap-4608	25	10	dn	dn	NOUN
ap-4608	25	11	dt	dt	NOUN
ap-4608	26	1	=	=	PUNCT
ap-4608	26	2	p	p	PROPN
ap-4608	26	3	−n(t)−	−n(t)−	PROPN
ap-4608	26	4	(	(	PUNCT
ap-4608	26	5	1	1	NUM
ap-4608	26	6	+	+	NUM
ap-4608	26	7	2n(t))|e(t)|2	2n(t))|e(t)|2	NUM
ap-4608	26	8	.	.	PUNCT
ap-4608	27	1	(	(	PUNCT
ap-4608	27	2	2	2	X
ap-4608	27	3	)	)	PUNCT
ap-4608	27	4	here	here	ADV
ap-4608	27	5	e(t	e(t	PROPN
ap-4608	27	6	)	)	PUNCT
ap-4608	27	7	is	be	AUX
ap-4608	27	8	the	the	DET
ap-4608	27	9	complex	complex	ADJ
ap-4608	27	10	,	,	PUNCT
ap-4608	27	11	time	time	NOUN
ap-4608	27	12	-	-	PUNCT
ap-4608	27	13	dependent	dependent	ADJ
ap-4608	27	14	,	,	PUNCT
ap-4608	27	15	intra	intra	ADJ
ap-4608	27	16	-	-	ADJ
ap-4608	27	17	cavity	cavity	ADJ
ap-4608	27	18	electric	electric	ADJ
ap-4608	27	19	field	field	NOUN
ap-4608	27	20	,	,	PUNCT
ap-4608	27	21	α	α	PROPN
ap-4608	27	22	is	be	AUX
ap-4608	27	23	the	the	DET
ap-4608	27	24	line	line	NOUN
ap-4608	27	25	-	-	PUNCT
ap-4608	27	26	width	width	NOUN
ap-4608	27	27	enhancement	enhancement	NOUN
ap-4608	27	28	factor	factor	NOUN
ap-4608	27	29	399	399	NUM
ap-4608	27	30	http://dx.doi.org/10.14311/ap.2017.57.0399	http://dx.doi.org/10.14311/ap.2017.57.0399	NOUN
ap-4608	27	31	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-4608	27	32	yogesh	yogesh	PROPN
ap-4608	27	33	,	,	PUNCT
ap-4608	27	34	andrew	andrew	PROPN
ap-4608	27	35	,	,	PUNCT
ap-4608	27	36	gautam	gautam	PROPN
ap-4608	27	37	acta	acta	PROPN
ap-4608	27	38	polytechnica	polytechnica	PROPN
ap-4608	27	39	0	0	NUM
ap-4608	27	40	20	20	NUM
ap-4608	27	41	40	40	NUM
ap-4608	27	42	60	60	NUM
ap-4608	27	43	80	80	NUM
ap-4608	27	44	100	100	NUM
ap-4608	27	45	time	time	NOUN
ap-4608	27	46	(	(	PUNCT
ap-4608	27	47	ns	ns	NUM
ap-4608	27	48	)	)	PUNCT
ap-4608	27	49	0	0	NUM
ap-4608	27	50	0.002	0.002	NUM
ap-4608	27	51	0.004	0.004	NUM
ap-4608	27	52	0.006	0.006	NUM
ap-4608	27	53	0.008	0.008	NUM
ap-4608	27	54	0.01	0.01	NUM
ap-4608	27	55	0.012	0.012	NUM
ap-4608	27	56	0.014	0.014	NUM
ap-4608	27	57	d	d	NOUN
ap-4608	28	1	i	i	PRON
ap-4608	28	2	m	m	VERB
ap-4608	28	3	en	en	ADP
ap-4608	28	4	si	si	X
ap-4608	28	5	on	on	ADP
ap-4608	28	6	le	le	X
ap-4608	28	7	ss	ss	NOUN
ap-4608	28	8	e	e	X
ap-4608	28	9	le	le	X
ap-4608	28	10	ct	ct	PROPN
ap-4608	28	11	ric	ric	PROPN
ap-4608	28	12	-f	-f	INTJ
ap-4608	28	13	ie	ie	X
ap-4608	28	14	ld	ld	PROPN
ap-4608	28	15	in	in	ADP
ap-4608	28	16	te	te	PROPN
ap-4608	28	17	ns	ns	NUM
ap-4608	28	18	ity	ity	PROPN
ap-4608	28	19	p=5x10	p=5x10	NOUN
ap-4608	28	20	-	-	SYM
ap-4608	28	21	4	4	NUM
ap-4608	28	22	p=10	p=10	NOUN
ap-4608	28	23	-	-	PUNCT
ap-4608	28	24	3	3	NUM
ap-4608	28	25	p=10	p=10	NOUN
ap-4608	28	26	-	-	PUNCT
ap-4608	28	27	2	2	NUM
ap-4608	28	28	laser	laser	NOUN
ap-4608	28	29	power	power	NOUN
ap-4608	28	30	above	above	ADP
ap-4608	28	31	threshold	threshold	NOUN
ap-4608	28	32	(	(	PUNCT
ap-4608	28	33	p=0	p=0	PROPN
ap-4608	28	34	)	)	PUNCT
ap-4608	28	35	0	0	NUM
ap-4608	28	36	20	20	NUM
ap-4608	28	37	40	40	NUM
ap-4608	28	38	60	60	NUM
ap-4608	28	39	80	80	NUM
ap-4608	28	40	100	100	NUM
ap-4608	28	41	time	time	NOUN
ap-4608	28	42	(	(	PUNCT
ap-4608	28	43	ns	ns	NUM
ap-4608	28	44	)	)	PUNCT
ap-4608	28	45	-10	-10	PUNCT
ap-4608	28	46	-8	-8	INTJ
ap-4608	29	1	-6	-6	INTJ
ap-4608	29	2	-4	-4	INTJ
ap-4608	30	1	-2	-2	NOUN
ap-4608	30	2	0	0	NUM
ap-4608	31	1	2	2	NUM
ap-4608	31	2	4	4	NUM
ap-4608	31	3	d	d	NOUN
ap-4608	31	4	i	i	PRON
ap-4608	31	5	m	m	VERB
ap-4608	31	6	en	en	ADP
ap-4608	31	7	si	si	X
ap-4608	31	8	on	on	ADP
ap-4608	31	9	le	le	X
ap-4608	31	10	ss	ss	NOUN
ap-4608	31	11	e	e	X
ap-4608	31	12	xc	xc	PROPN
ap-4608	31	13	es	es	PROPN
ap-4608	31	14	s	s	VERB
ap-4608	31	15	ca	can	AUX
ap-4608	31	16	rr	rr	VERB
ap-4608	31	17	ie	ie	ADV
ap-4608	31	18	r	r	PROPN
ap-4608	31	19	de	de	X
ap-4608	31	20	ns	ns	NUM
ap-4608	31	21	ity	ity	PROPN
ap-4608	31	22	10	10	NUM
ap-4608	31	23	-	-	SYM
ap-4608	31	24	3	3	NUM
ap-4608	31	25	figure	figure	NOUN
ap-4608	31	26	1	1	NUM
ap-4608	31	27	.	.	PUNCT
ap-4608	32	1	full	full	ADJ
ap-4608	32	2	temporal	temporal	ADJ
ap-4608	32	3	dynamics	dynamic	NOUN
ap-4608	32	4	of	of	ADP
ap-4608	32	5	electric	electric	ADJ
ap-4608	32	6	field	field	NOUN
ap-4608	32	7	intensity	intensity	NOUN
ap-4608	32	8	i(t	i(t	PROPN
ap-4608	32	9	)	)	PUNCT
ap-4608	32	10	=	=	SYM
ap-4608	32	11	|e(t)|2	|e(t)|2	NOUN
ap-4608	32	12	and	and	CCONJ
ap-4608	32	13	excess	excess	ADJ
ap-4608	32	14	carrier	carrier	NOUN
ap-4608	32	15	inversion	inversion	NOUN
ap-4608	32	16	n(t	n(t	NOUN
ap-4608	32	17	)	)	PUNCT
ap-4608	32	18	in	in	ADP
ap-4608	32	19	a	a	DET
ap-4608	32	20	typical	typical	ADJ
ap-4608	32	21	semiconductor	semiconductor	NOUN
ap-4608	32	22	laser	laser	NOUN
ap-4608	32	23	with	with	ADP
ap-4608	32	24	line	line	NOUN
ap-4608	32	25	-	-	PUNCT
ap-4608	32	26	width	width	NOUN
ap-4608	32	27	enhancement	enhancement	NOUN
ap-4608	32	28	factor	factor	NOUN
ap-4608	32	29	α	α	NOUN
ap-4608	32	30	=	=	SYM
ap-4608	32	31	3	3	NUM
ap-4608	32	32	and	and	CCONJ
ap-4608	32	33	t	t	NOUN
ap-4608	32	34	=	=	NUM
ap-4608	32	35	100	100	NUM
ap-4608	32	36	,	,	PUNCT
ap-4608	32	37	as	as	ADP
ap-4608	32	38	a	a	DET
ap-4608	32	39	function	function	NOUN
ap-4608	32	40	of	of	ADP
ap-4608	32	41	the	the	DET
ap-4608	32	42	pump	pump	NOUN
ap-4608	32	43	power	power	NOUN
ap-4608	32	44	p	p	NOUN
ap-4608	32	45	above	above	ADP
ap-4608	32	46	the	the	DET
ap-4608	32	47	threshold	threshold	NOUN
ap-4608	32	48	.	.	PUNCT
ap-4608	33	1	note	note	VERB
ap-4608	33	2	that	that	SCONJ
ap-4608	33	3	both	both	DET
ap-4608	33	4	dynamics	dynamic	NOUN
ap-4608	33	5	have	have	VERB
ap-4608	33	6	the	the	DET
ap-4608	33	7	same	same	ADJ
ap-4608	33	8	time	time	NOUN
ap-4608	33	9	scale	scale	NOUN
ap-4608	33	10	,	,	PUNCT
ap-4608	33	11	and	and	CCONJ
ap-4608	33	12	change	change	NOUN
ap-4608	33	13	from	from	ADP
ap-4608	33	14	overdamped	overdampe	VERB
ap-4608	33	15	to	to	PART
ap-4608	33	16	underdamped	underdampe	VERB
ap-4608	33	17	in	in	ADP
ap-4608	33	18	their	their	PRON
ap-4608	33	19	approach	approach	NOUN
ap-4608	33	20	to	to	ADP
ap-4608	33	21	equilibrium	equilibrium	NOUN
ap-4608	33	22	as	as	ADP
ap-4608	33	23	the	the	DET
ap-4608	33	24	pump	pump	NOUN
ap-4608	33	25	power	power	NOUN
ap-4608	33	26	increases	increase	NOUN
ap-4608	33	27	.	.	PUNCT
ap-4608	34	1	for	for	ADP
ap-4608	34	2	the	the	DET
ap-4608	34	3	gain	gain	NOUN
ap-4608	34	4	medium	medium	NOUN
ap-4608	34	5	,	,	PUNCT
ap-4608	34	6	n(t	n(t	PROPN
ap-4608	34	7	)	)	PUNCT
ap-4608	34	8	is	be	AUX
ap-4608	34	9	the	the	DET
ap-4608	34	10	time	time	NOUN
ap-4608	34	11	-	-	PUNCT
ap-4608	34	12	dependent	dependent	ADJ
ap-4608	34	13	excess	excess	ADJ
ap-4608	34	14	carrier	carrier	NOUN
ap-4608	34	15	inversion	inversion	NOUN
ap-4608	34	16	(	(	PUNCT
ap-4608	34	17	above	above	ADP
ap-4608	34	18	the	the	DET
ap-4608	34	19	carrier	carrier	NOUN
ap-4608	34	20	inversion	inversion	NOUN
ap-4608	34	21	at	at	ADP
ap-4608	34	22	the	the	DET
ap-4608	34	23	lasing	lase	VERB
ap-4608	34	24	threshold	threshold	NOUN
ap-4608	34	25	)	)	PUNCT
ap-4608	34	26	,	,	PUNCT
ap-4608	34	27	ζ	ζ	NOUN
ap-4608	34	28	is	be	AUX
ap-4608	34	29	the	the	DET
ap-4608	34	30	differential	differential	ADJ
ap-4608	34	31	-	-	PUNCT
ap-4608	34	32	gain	gain	NOUN
ap-4608	34	33	coefficient	coefficient	NOUN
ap-4608	34	34	,	,	PUNCT
ap-4608	34	35	κ	κ	PROPN
ap-4608	34	36	is	be	AUX
ap-4608	34	37	the	the	DET
ap-4608	34	38	feedback	feedback	NOUN
ap-4608	34	39	coupling	coupling	NOUN
ap-4608	34	40	strength	strength	NOUN
ap-4608	34	41	,	,	PUNCT
ap-4608	34	42	τ	τ	PROPN
ap-4608	34	43	is	be	AUX
ap-4608	34	44	the	the	DET
ap-4608	34	45	time	time	NOUN
ap-4608	34	46	-	-	PUNCT
ap-4608	34	47	delay	delay	NOUN
ap-4608	34	48	,	,	PUNCT
ap-4608	34	49	t	t	PROPN
ap-4608	34	50	is	be	AUX
ap-4608	34	51	the	the	DET
ap-4608	34	52	ratio	ratio	NOUN
ap-4608	34	53	of	of	ADP
ap-4608	34	54	excess	excess	ADJ
ap-4608	34	55	carrier	carrier	NOUN
ap-4608	34	56	-	-	PUNCT
ap-4608	34	57	inversion	inversion	NOUN
ap-4608	34	58	lifetime	lifetime	NOUN
ap-4608	34	59	to	to	ADP
ap-4608	34	60	the	the	DET
ap-4608	34	61	cavity	cavity	NOUN
ap-4608	34	62	photon	photon	NOUN
ap-4608	34	63	lifetime	lifetime	NOUN
ap-4608	34	64	,	,	PUNCT
ap-4608	34	65	and	and	CCONJ
ap-4608	34	66	p	p	NOUN
ap-4608	34	67	is	be	AUX
ap-4608	34	68	the	the	DET
ap-4608	34	69	external	external	ADJ
ap-4608	34	70	pumping	pumping	NOUN
ap-4608	34	71	to	to	ADP
ap-4608	34	72	the	the	DET
ap-4608	34	73	laser	laser	NOUN
ap-4608	34	74	.	.	PUNCT
ap-4608	35	1	note	note	VERB
ap-4608	35	2	that	that	SCONJ
ap-4608	35	3	the	the	DET
ap-4608	35	4	rate	rate	NOUN
ap-4608	35	5	equation	equation	NOUN
ap-4608	35	6	for	for	ADP
ap-4608	35	7	the	the	DET
ap-4608	35	8	macroscopic	macroscopic	ADJ
ap-4608	35	9	polarization	polarization	NOUN
ap-4608	35	10	within	within	ADP
ap-4608	35	11	the	the	DET
ap-4608	35	12	gain	gain	NOUN
ap-4608	35	13	medium	medium	NOUN
ap-4608	35	14	does	do	AUX
ap-4608	35	15	not	not	PART
ap-4608	35	16	enter	enter	VERB
ap-4608	35	17	this	this	DET
ap-4608	35	18	model	model	NOUN
ap-4608	35	19	because	because	SCONJ
ap-4608	35	20	it	it	PRON
ap-4608	35	21	decays	decay	VERB
ap-4608	35	22	very	very	ADV
ap-4608	35	23	rapidly	rapidly	ADV
ap-4608	35	24	,	,	PUNCT
ap-4608	35	25	relative	relative	ADJ
ap-4608	35	26	to	to	ADP
ap-4608	35	27	the	the	DET
ap-4608	35	28	time	time	NOUN
ap-4608	35	29	scale	scale	NOUN
ap-4608	35	30	at	at	ADP
ap-4608	35	31	which	which	PRON
ap-4608	35	32	e(t	e(t	NOUN
ap-4608	35	33	)	)	PUNCT
ap-4608	35	34	and	and	CCONJ
ap-4608	35	35	n(t	n(t	PROPN
ap-4608	35	36	)	)	PUNCT
ap-4608	35	37	evolve	evolve	VERB
ap-4608	35	38	in	in	ADP
ap-4608	35	39	semiconductor	semiconductor	NOUN
ap-4608	35	40	lasers	laser	NOUN
ap-4608	35	41	,	,	PUNCT
ap-4608	35	42	and	and	CCONJ
ap-4608	35	43	hence	hence	ADV
ap-4608	35	44	can	can	AUX
ap-4608	35	45	be	be	AUX
ap-4608	35	46	adiabatically	adiabatically	ADV
ap-4608	35	47	eliminated	eliminate	VERB
ap-4608	35	48	.	.	PUNCT
ap-4608	36	1	figure	figure	NOUN
ap-4608	36	2	1	1	NUM
ap-4608	36	3	shows	show	VERB
ap-4608	36	4	the	the	DET
ap-4608	36	5	results	result	NOUN
ap-4608	36	6	for	for	ADP
ap-4608	36	7	the	the	DET
ap-4608	36	8	envelope	envelope	NOUN
ap-4608	36	9	field	field	NOUN
ap-4608	36	10	intensity	intensity	NOUN
ap-4608	36	11	|e(t)|2	|e(t)|2	NOUN
ap-4608	36	12	and	and	CCONJ
ap-4608	36	13	the	the	DET
ap-4608	36	14	excess	excess	ADJ
ap-4608	36	15	carrier	carrier	NOUN
ap-4608	36	16	inversion	inversion	NOUN
ap-4608	36	17	n(t	n(t	PROPN
ap-4608	36	18	)	)	PUNCT
ap-4608	36	19	as	as	ADP
ap-4608	36	20	a	a	DET
ap-4608	36	21	function	function	NOUN
ap-4608	36	22	of	of	ADP
ap-4608	36	23	the	the	DET
ap-4608	36	24	pump	pump	NOUN
ap-4608	36	25	power	power	NOUN
ap-4608	36	26	above	above	ADP
ap-4608	36	27	the	the	DET
ap-4608	36	28	lasing	lase	VERB
ap-4608	36	29	threshold	threshold	NOUN
ap-4608	36	30	.	.	PUNCT
ap-4608	37	1	when	when	SCONJ
ap-4608	37	2	the	the	DET
ap-4608	37	3	pump	pump	NOUN
ap-4608	37	4	power	power	NOUN
ap-4608	37	5	is	be	AUX
ap-4608	37	6	small	small	ADJ
ap-4608	37	7	,	,	PUNCT
ap-4608	37	8	both	both	DET
ap-4608	37	9	intensity	intensity	NOUN
ap-4608	37	10	and	and	CCONJ
ap-4608	37	11	excess	excess	ADJ
ap-4608	37	12	inversion	inversion	NOUN
ap-4608	37	13	approach	approach	NOUN
ap-4608	37	14	their	their	PRON
ap-4608	37	15	equilibrium	equilibrium	NOUN
ap-4608	37	16	values	value	NOUN
ap-4608	37	17	rapidly	rapidly	ADV
ap-4608	37	18	in	in	ADP
ap-4608	37	19	an	an	DET
ap-4608	37	20	overdamped	overdampe	VERB
ap-4608	37	21	manner	manner	NOUN
ap-4608	37	22	.	.	PUNCT
ap-4608	38	1	as	as	ADP
ap-4608	38	2	the	the	DET
ap-4608	38	3	pump	pump	NOUN
ap-4608	38	4	power	power	NOUN
ap-4608	38	5	increases	increase	NOUN
ap-4608	38	6	,	,	PUNCT
ap-4608	38	7	the	the	DET
ap-4608	38	8	approach	approach	NOUN
ap-4608	38	9	to	to	ADP
ap-4608	38	10	the	the	DET
ap-4608	38	11	equilibrium	equilibrium	NOUN
ap-4608	38	12	values	value	NOUN
ap-4608	38	13	changes	change	VERB
ap-4608	38	14	to	to	ADP
ap-4608	38	15	an	an	DET
ap-4608	38	16	underdamped	underdamped	ADJ
ap-4608	38	17	manner	manner	NOUN
ap-4608	38	18	.	.	PUNCT
ap-4608	39	1	in	in	ADP
ap-4608	39	2	dissipative	dissipative	ADJ
ap-4608	39	3	systems	system	NOUN
ap-4608	39	4	,	,	PUNCT
ap-4608	39	5	this	this	DET
ap-4608	39	6	transition	transition	NOUN
ap-4608	39	7	from	from	ADP
ap-4608	39	8	overdamped	overdampe	VERB
ap-4608	39	9	to	to	ADP
ap-4608	39	10	underdamped	underdamped	ADJ
ap-4608	39	11	approach	approach	NOUN
ap-4608	39	12	can	can	AUX
ap-4608	39	13	be	be	AUX
ap-4608	39	14	mapped	map	VERB
ap-4608	39	15	onto	onto	ADP
ap-4608	39	16	a	a	DET
ap-4608	39	17	parity	parity	NOUN
ap-4608	39	18	-	-	PUNCT
ap-4608	39	19	time	time	NOUN
ap-4608	39	20	(	(	PUNCT
ap-4608	39	21	pt	pt	NOUN
ap-4608	39	22	)	)	PUNCT
ap-4608	39	23	symmetry	symmetry	NOUN
ap-4608	39	24	breaking	break	VERB
ap-4608	39	25	transition	transition	NOUN
ap-4608	39	26	[	[	X
ap-4608	39	27	15	15	NUM
ap-4608	39	28	]	]	PUNCT
ap-4608	39	29	where	where	SCONJ
ap-4608	39	30	the	the	DET
ap-4608	39	31	overdamped	overdampe	VERB
ap-4608	39	32	region	region	NOUN
ap-4608	39	33	is	be	AUX
ap-4608	39	34	associated	associate	VERB
ap-4608	39	35	with	with	ADP
ap-4608	39	36	pt	pt	NOUN
ap-4608	39	37	-broken	-broken	VERB
ap-4608	39	38	phase	phase	NOUN
ap-4608	39	39	and	and	CCONJ
ap-4608	39	40	the	the	DET
ap-4608	39	41	underdamped	underdamped	ADJ
ap-4608	39	42	region	region	NOUN
ap-4608	39	43	is	be	AUX
ap-4608	39	44	associated	associate	VERB
ap-4608	39	45	with	with	ADP
ap-4608	39	46	the	the	DET
ap-4608	39	47	pt	pt	NOUN
ap-4608	39	48	-symmetric	-symmetric	ADJ
ap-4608	39	49	phase	phase	NOUN
ap-4608	39	50	.	.	PUNCT
ap-4608	40	1	for	for	ADP
ap-4608	40	2	realistic	realistic	ADJ
ap-4608	40	3	parameters	parameter	NOUN
ap-4608	40	4	of	of	ADP
ap-4608	40	5	standard	standard	ADJ
ap-4608	40	6	semiconductor	semiconductor	NOUN
ap-4608	40	7	lasers	laser	NOUN
ap-4608	40	8	,	,	PUNCT
ap-4608	40	9	used	use	VERB
ap-4608	40	10	in	in	ADP
ap-4608	40	11	figure	figure	NOUN
ap-4608	40	12	1	1	NUM
ap-4608	40	13	,	,	PUNCT
ap-4608	40	14	we	we	PRON
ap-4608	40	15	note	note	VERB
ap-4608	40	16	that	that	SCONJ
ap-4608	40	17	the	the	DET
ap-4608	40	18	time	time	NOUN
ap-4608	40	19	scales	scale	VERB
ap-4608	40	20	for	for	ADP
ap-4608	40	21	variation	variation	NOUN
ap-4608	40	22	in	in	ADP
ap-4608	40	23	the	the	DET
ap-4608	40	24	electric	electric	ADJ
ap-4608	40	25	field	field	NOUN
ap-4608	40	26	and	and	CCONJ
ap-4608	40	27	the	the	DET
ap-4608	40	28	excess	excess	ADJ
ap-4608	40	29	inversion	inversion	NOUN
ap-4608	40	30	are	be	AUX
ap-4608	40	31	the	the	DET
ap-4608	40	32	same	same	ADJ
ap-4608	40	33	.	.	PUNCT
ap-4608	41	1	thus	thus	ADV
ap-4608	41	2	,	,	PUNCT
ap-4608	41	3	it	it	PRON
ap-4608	41	4	is	be	AUX
ap-4608	41	5	not	not	PART
ap-4608	41	6	possible	possible	ADJ
ap-4608	41	7	to	to	PART
ap-4608	41	8	eliminate	eliminate	VERB
ap-4608	41	9	the	the	DET
ap-4608	41	10	excess	excess	ADJ
ap-4608	41	11	carrier	carrier	NOUN
ap-4608	41	12	density	density	NOUN
ap-4608	41	13	dynamics	dynamic	NOUN
ap-4608	41	14	in	in	ADP
ap-4608	41	15	the	the	DET
ap-4608	41	16	current	current	NOUN
ap-4608	41	17	set	set	VERB
ap-4608	41	18	up	up	ADP
ap-4608	41	19	,	,	PUNCT
ap-4608	41	20	and	and	CCONJ
ap-4608	41	21	the	the	DET
ap-4608	41	22	lambert	lambert	PROPN
ap-4608	41	23	function	function	NOUN
ap-4608	41	24	formalism	formalism	NOUN
ap-4608	41	25	can	can	AUX
ap-4608	41	26	not	not	PART
ap-4608	41	27	be	be	AUX
ap-4608	41	28	directly	directly	ADV
ap-4608	41	29	applied	apply	VERB
ap-4608	41	30	to	to	ADP
ap-4608	41	31	above	above	ADP
ap-4608	41	32	set	set	NOUN
ap-4608	41	33	of	of	ADP
ap-4608	41	34	equations	equation	NOUN
ap-4608	41	35	(	(	PUNCT
ap-4608	41	36	1)–(2	1)–(2	NUM
ap-4608	41	37	)	)	PUNCT
ap-4608	41	38	.	.	PUNCT
ap-4608	42	1	the	the	DET
ap-4608	42	2	lambert	lambert	PROPN
ap-4608	42	3	w	w	PROPN
ap-4608	42	4	-function	-function	NOUN
ap-4608	42	5	is	be	AUX
ap-4608	42	6	defined	define	VERB
ap-4608	42	7	by	by	ADP
ap-4608	42	8	solutions	solution	NOUN
ap-4608	42	9	of	of	ADP
ap-4608	42	10	the	the	DET
ap-4608	42	11	equation	equation	NOUN
ap-4608	42	12	wew	wew	PROPN
ap-4608	42	13	=	=	PUNCT
ap-4608	42	14	z.	z.	PROPN
ap-4608	42	15	for	for	ADP
ap-4608	42	16	a	a	DET
ap-4608	42	17	general	general	ADJ
ap-4608	42	18	complex	complex	ADJ
ap-4608	42	19	number	number	NOUN
ap-4608	42	20	z	z	PROPN
ap-4608	42	21	,	,	PUNCT
ap-4608	42	22	this	this	DET
ap-4608	42	23	equation	equation	NOUN
ap-4608	42	24	has	have	VERB
ap-4608	42	25	countably	countably	ADV
ap-4608	42	26	infinite	infinite	ADJ
ap-4608	42	27	number	number	NOUN
ap-4608	42	28	of	of	ADP
ap-4608	42	29	solutions	solution	NOUN
ap-4608	42	30	denoted	denote	VERB
ap-4608	42	31	by	by	ADP
ap-4608	42	32	wk(z	wk(z	NOUN
ap-4608	42	33	)	)	PUNCT
ap-4608	42	34	for	for	ADP
ap-4608	42	35	integers	integer	NOUN
ap-4608	42	36	k	k	NOUN
ap-4608	42	37	,	,	PUNCT
ap-4608	42	38	out	out	ADP
ap-4608	42	39	of	of	ADP
ap-4608	42	40	which	which	PRON
ap-4608	42	41	,	,	PUNCT
ap-4608	42	42	by	by	ADP
ap-4608	42	43	convention	convention	NOUN
ap-4608	42	44	,	,	PUNCT
ap-4608	42	45	only	only	ADV
ap-4608	42	46	branches	branch	NOUN
ap-4608	42	47	k	k	NOUN
ap-4608	42	48	=	=	PUNCT
ap-4608	42	49	0	0	PROPN
ap-4608	43	1	and	and	CCONJ
ap-4608	43	2	k	k	PROPN
ap-4608	43	3	=	=	PUNCT
ap-4608	43	4	−1	−1	NOUN
ap-4608	43	5	are	be	AUX
ap-4608	43	6	real	real	ADV
ap-4608	43	7	-	-	PUNCT
ap-4608	43	8	valued	value	VERB
ap-4608	43	9	for	for	ADP
ap-4608	43	10	any	any	DET
ap-4608	43	11	z	z	NOUN
ap-4608	44	1	[	[	X
ap-4608	44	2	8	8	NUM
ap-4608	44	3	]	]	PUNCT
ap-4608	44	4	.	.	PUNCT
ap-4608	45	1	suppose	suppose	VERB
ap-4608	45	2	we	we	PRON
ap-4608	45	3	are	be	AUX
ap-4608	45	4	able	able	ADJ
ap-4608	45	5	to	to	PART
ap-4608	45	6	reduce	reduce	VERB
ap-4608	45	7	the	the	DET
ap-4608	45	8	lang	lang	PROPN
ap-4608	45	9	–	–	PUNCT
ap-4608	45	10	kobayashi	kobayashi	PROPN
ap-4608	45	11	equations	equation	NOUN
ap-4608	45	12	to	to	ADP
ap-4608	45	13	a	a	DET
ap-4608	45	14	single	single	ADJ
ap-4608	45	15	equation	equation	NOUN
ap-4608	45	16	of	of	ADP
ap-4608	45	17	the	the	DET
ap-4608	45	18	form	form	NOUN
ap-4608	45	19	dx	dx	PROPN
ap-4608	45	20	dt	dt	NOUN
ap-4608	46	1	=	=	PUNCT
ap-4608	46	2	ax+	ax+	PROPN
ap-4608	46	3	bx(t−	bx(t−	ADP
ap-4608	46	4	τ	τ	PROPN
ap-4608	46	5	)	)	PUNCT
ap-4608	46	6	(	(	PUNCT
ap-4608	46	7	3	3	X
ap-4608	46	8	)	)	PUNCT
ap-4608	46	9	where	where	SCONJ
ap-4608	46	10	x	x	PRON
ap-4608	46	11	is	be	AUX
ap-4608	46	12	complex	complex	ADJ
ap-4608	46	13	and	and	CCONJ
ap-4608	46	14	a	a	DET
ap-4608	46	15	,	,	PUNCT
ap-4608	46	16	b	b	NOUN
ap-4608	46	17	are	be	AUX
ap-4608	46	18	constants	constant	NOUN
ap-4608	46	19	that	that	PRON
ap-4608	46	20	could	could	AUX
ap-4608	46	21	be	be	AUX
ap-4608	46	22	real	real	ADJ
ap-4608	46	23	or	or	CCONJ
ap-4608	46	24	complex	complex	ADJ
ap-4608	46	25	.	.	PUNCT
ap-4608	47	1	we	we	PRON
ap-4608	47	2	note	note	VERB
ap-4608	47	3	that	that	SCONJ
ap-4608	47	4	such	such	ADJ
ap-4608	47	5	equations	equation	NOUN
ap-4608	47	6	commonly	commonly	ADV
ap-4608	47	7	arise	arise	VERB
ap-4608	47	8	in	in	ADP
ap-4608	47	9	time	time	NOUN
ap-4608	47	10	-	-	PUNCT
ap-4608	47	11	delayed	delay	VERB
ap-4608	47	12	population	population	NOUN
ap-4608	47	13	dynamics	dynamic	NOUN
ap-4608	47	14	models	model	NOUN
ap-4608	47	15	in	in	ADP
ap-4608	47	16	biology	biology	NOUN
ap-4608	47	17	and	and	CCONJ
ap-4608	47	18	ecology	ecology	NOUN
ap-4608	48	1	[	[	X
ap-4608	48	2	1–3	1–3	NOUN
ap-4608	48	3	]	]	X
ap-4608	48	4	,	,	PUNCT
ap-4608	48	5	but	but	CCONJ
ap-4608	48	6	in	in	ADP
ap-4608	48	7	those	those	DET
ap-4608	48	8	cases	case	NOUN
ap-4608	48	9	,	,	PUNCT
ap-4608	48	10	the	the	DET
ap-4608	48	11	coefficients	coefficient	NOUN
ap-4608	48	12	and	and	CCONJ
ap-4608	48	13	the	the	DET
ap-4608	48	14	solution	solution	NOUN
ap-4608	48	15	of	of	ADP
ap-4608	48	16	the	the	DET
ap-4608	48	17	equation	equation	NOUN
ap-4608	48	18	are	be	AUX
ap-4608	48	19	both	both	PRON
ap-4608	48	20	constrained	constrain	VERB
ap-4608	48	21	to	to	PART
ap-4608	48	22	be	be	AUX
ap-4608	48	23	purely	purely	ADV
ap-4608	48	24	real	real	ADJ
ap-4608	48	25	.	.	PUNCT
ap-4608	49	1	since	since	SCONJ
ap-4608	49	2	(	(	PUNCT
ap-4608	49	3	3	3	NUM
ap-4608	49	4	is	be	AUX
ap-4608	49	5	a	a	DET
ap-4608	49	6	linear	linear	ADJ
ap-4608	49	7	equation	equation	NOUN
ap-4608	49	8	,	,	PUNCT
ap-4608	49	9	its	its	PRON
ap-4608	49	10	general	general	ADJ
ap-4608	49	11	solution	solution	NOUN
ap-4608	49	12	will	will	AUX
ap-4608	49	13	be	be	AUX
ap-4608	49	14	given	give	VERB
ap-4608	49	15	by	by	ADP
ap-4608	49	16	the	the	DET
ap-4608	49	17	linear	linear	ADJ
ap-4608	49	18	superposition	superposition	NOUN
ap-4608	49	19	of	of	ADP
ap-4608	49	20	exponential	exponential	NOUN
ap-4608	49	21	-	-	PUNCT
ap-4608	49	22	in	in	ADP
ap-4608	49	23	-	-	PUNCT
ap-4608	49	24	time	time	NOUN
ap-4608	49	25	terms	term	NOUN
ap-4608	49	26	.	.	PUNCT
ap-4608	50	1	assuming	assume	VERB
ap-4608	50	2	x(t	x(t	PROPN
ap-4608	50	3	)	)	PUNCT
ap-4608	50	4	∼	∼	NOUN
ap-4608	50	5	eλt	eλt	PROPN
ap-4608	50	6	leads	lead	VERB
ap-4608	50	7	to	to	ADP
ap-4608	50	8	a	a	DET
ap-4608	50	9	transcendental	transcendental	ADJ
ap-4608	50	10	characteristic	characteristic	ADJ
ap-4608	50	11	equation	equation	NOUN
ap-4608	50	12	(	(	PUNCT
ap-4608	50	13	λ−	λ−	PROPN
ap-4608	50	14	a)τe(λ−a)τ	a)τe(λ−a)τ	PROPN
ap-4608	50	15	=	=	SYM
ap-4608	50	16	bτeaτ	bτeaτ	PROPN
ap-4608	50	17	.	.	PUNCT
ap-4608	51	1	(	(	PUNCT
ap-4608	51	2	4	4	X
ap-4608	51	3	)	)	PUNCT
ap-4608	51	4	equation	equation	NOUN
ap-4608	51	5	4	4	NUM
ap-4608	51	6	shows	show	VERB
ap-4608	51	7	that	that	SCONJ
ap-4608	51	8	the	the	DET
ap-4608	51	9	eigenvalues	eigenvalues	PROPN
ap-4608	51	10	λ	λ	PROPN
ap-4608	51	11	can	can	AUX
ap-4608	51	12	be	be	AUX
ap-4608	51	13	expressed	express	VERB
ap-4608	51	14	in	in	ADP
ap-4608	51	15	terms	term	NOUN
ap-4608	51	16	of	of	ADP
ap-4608	51	17	the	the	DET
ap-4608	51	18	lambert	lambert	PROPN
ap-4608	51	19	w	w	PROPN
ap-4608	51	20	-function	-function	PROPN
ap-4608	51	21	.	.	PUNCT
ap-4608	52	1	specifically	specifically	ADV
ap-4608	52	2	,	,	PUNCT
ap-4608	52	3	when	when	SCONJ
ap-4608	52	4	if	if	SCONJ
ap-4608	52	5	bτeτa	bτeτa	PROPN
ap-4608	52	6	>	>	X
ap-4608	52	7	0	0	PROPN
ap-4608	52	8	,	,	PUNCT
ap-4608	52	9	the	the	DET
ap-4608	52	10	solution	solution	NOUN
ap-4608	52	11	for	for	ADP
ap-4608	52	12	is	be	AUX
ap-4608	52	13	given	give	VERB
ap-4608	52	14	by	by	ADP
ap-4608	52	15	λ	λ	PROPN
ap-4608	52	16	=	=	PUNCT
ap-4608	52	17	a	a	PROPN
ap-4608	52	18	+	+	X
ap-4608	52	19	w0(bτeaτ	w0(bτeaτ	X
ap-4608	52	20	)	)	PUNCT
ap-4608	52	21	/τ	/τ	PUNCT
ap-4608	52	22	.	.	PUNCT
ap-4608	53	1	if	if	SCONJ
ap-4608	53	2	bτeaτ	bτeaτ	PROPN
ap-4608	53	3	<	<	X
ap-4608	53	4	0	0	PROPN
ap-4608	53	5	,	,	PUNCT
ap-4608	53	6	there	there	PRON
ap-4608	53	7	are	be	VERB
ap-4608	53	8	two	two	NUM
ap-4608	53	9	possible	possible	ADJ
ap-4608	53	10	solutions	solution	NOUN
ap-4608	53	11	when	when	SCONJ
ap-4608	53	12	−1	−1	NOUN
ap-4608	53	13	/	/	SYM
ap-4608	53	14	e	e	X
ap-4608	53	15	<	<	X
ap-4608	53	16	bτeaτ	bτeaτ	X
ap-4608	54	1	<	<	X
ap-4608	54	2	0	0	PROPN
ap-4608	54	3	,	,	PUNCT
ap-4608	54	4	one	one	NUM
ap-4608	54	5	smaller	small	ADJ
ap-4608	54	6	than	than	ADP
ap-4608	54	7	1	1	NUM
ap-4608	54	8	and	and	CCONJ
ap-4608	54	9	the	the	DET
ap-4608	54	10	other	other	ADJ
ap-4608	54	11	larger	large	ADJ
ap-4608	54	12	than	than	ADP
ap-4608	54	13	1	1	NUM
ap-4608	54	14	.	.	PUNCT
ap-4608	55	1	thus	thus	ADV
ap-4608	55	2	,	,	PUNCT
ap-4608	55	3	in	in	ADP
ap-4608	55	4	general	general	ADJ
ap-4608	55	5	,	,	PUNCT
ap-4608	55	6	the	the	DET
ap-4608	55	7	eigenvalues	eigenvalue	NOUN
ap-4608	55	8	λ	λ	PROPN
ap-4608	55	9	that	that	PRON
ap-4608	55	10	characterize	characterize	VERB
ap-4608	55	11	the	the	DET
ap-4608	55	12	exponential	exponential	NOUN
ap-4608	55	13	-	-	PUNCT
ap-4608	55	14	in	in	ADP
ap-4608	55	15	-	-	PUNCT
ap-4608	55	16	time	time	NOUN
ap-4608	55	17	behavior	behavior	NOUN
ap-4608	55	18	of	of	ADP
ap-4608	55	19	x(t	x(t	PROPN
ap-4608	55	20	)	)	PUNCT
ap-4608	55	21	are	be	AUX
ap-4608	55	22	given	give	VERB
ap-4608	55	23	by	by	ADP
ap-4608	55	24	λk	λk	X
ap-4608	55	25	=	=	PUNCT
ap-4608	55	26	a+	a+	PUNCT
ap-4608	55	27	1	1	NUM
ap-4608	55	28	τ	τ	X
ap-4608	55	29	wk(bτeaτ	wk(bτeaτ	X
ap-4608	55	30	)	)	PUNCT
ap-4608	55	31	(	(	PUNCT
ap-4608	55	32	5	5	X
ap-4608	55	33	)	)	PUNCT
ap-4608	55	34	where	where	SCONJ
ap-4608	55	35	for	for	ADP
ap-4608	55	36	bτeaτ	bτeaτ	X
ap-4608	55	37	<	<	X
ap-4608	55	38	−1	−1	PROPN
ap-4608	55	39	/	/	SYM
ap-4608	55	40	e	e	NOUN
ap-4608	55	41	or	or	CCONJ
ap-4608	55	42	complex	complex	ADJ
ap-4608	55	43	,	,	PUNCT
ap-4608	55	44	the	the	DET
ap-4608	55	45	general	general	ADJ
ap-4608	55	46	solution	solution	NOUN
ap-4608	55	47	is	be	AUX
ap-4608	55	48	obtained	obtain	VERB
ap-4608	55	49	by	by	ADP
ap-4608	55	50	an	an	DET
ap-4608	55	51	analytical	analytical	ADJ
ap-4608	55	52	continuation	continuation	NOUN
ap-4608	55	53	of	of	ADP
ap-4608	55	54	the	the	DET
ap-4608	55	55	function	function	NOUN
ap-4608	55	56	to	to	ADP
ap-4608	55	57	the	the	DET
ap-4608	55	58	complex	complex	ADJ
ap-4608	55	59	plane	plane	NOUN
ap-4608	55	60	[	[	X
ap-4608	55	61	8	8	NUM
ap-4608	55	62	]	]	SYM
ap-4608	55	63	.	.	PUNCT
ap-4608	56	1	3	3	X
ap-4608	56	2	.	.	X
ap-4608	56	3	domain	domain	NOUN
ap-4608	56	4	of	of	ADP
ap-4608	56	5	validity	validity	NOUN
ap-4608	56	6	of	of	ADP
ap-4608	56	7	lambert	lambert	NOUN
ap-4608	56	8	formalism	formalism	NOUN
ap-4608	56	9	it	it	PRON
ap-4608	56	10	is	be	AUX
ap-4608	56	11	generally	generally	ADV
ap-4608	56	12	the	the	DET
ap-4608	56	13	case	case	NOUN
ap-4608	56	14	that	that	SCONJ
ap-4608	56	15	the	the	DET
ap-4608	56	16	modeling	modeling	NOUN
ap-4608	56	17	of	of	ADP
ap-4608	56	18	semiconductor	semiconductor	NOUN
ap-4608	56	19	lasers	laser	NOUN
ap-4608	56	20	requires	require	VERB
ap-4608	56	21	the	the	DET
ap-4608	56	22	coupled	couple	VERB
ap-4608	56	23	rate	rate	NOUN
ap-4608	56	24	equations	equation	NOUN
ap-4608	56	25	for	for	ADP
ap-4608	56	26	the	the	DET
ap-4608	56	27	intracavity	intracavity	PROPN
ap-4608	56	28	electric	electric	ADJ
ap-4608	56	29	field	field	NOUN
ap-4608	56	30	,	,	PUNCT
ap-4608	56	31	e(t	e(t	PROPN
ap-4608	56	32	)	)	PUNCT
ap-4608	56	33	and	and	CCONJ
ap-4608	56	34	the	the	DET
ap-4608	56	35	excess	excess	ADJ
ap-4608	56	36	carrier	carrier	NOUN
ap-4608	56	37	inversion	inversion	NOUN
ap-4608	56	38	,	,	PUNCT
ap-4608	56	39	n(t	n(t	PROPN
ap-4608	56	40	)	)	PUNCT
ap-4608	56	41	.	.	PUNCT
ap-4608	57	1	however	however	ADV
ap-4608	57	2	,	,	PUNCT
ap-4608	57	3	the	the	DET
ap-4608	57	4	use	use	NOUN
ap-4608	57	5	of	of	ADP
ap-4608	57	6	the	the	DET
ap-4608	57	7	lambert	lambert	PROPN
ap-4608	57	8	equation	equation	NOUN
ap-4608	57	9	formalism	formalism	NOUN
ap-4608	57	10	,	,	PUNCT
ap-4608	57	11	as	as	SCONJ
ap-4608	57	12	discussed	discuss	VERB
ap-4608	57	13	above	above	ADV
ap-4608	57	14	,	,	PUNCT
ap-4608	57	15	requires	require	VERB
ap-4608	57	16	400	400	NUM
ap-4608	57	17	vol	vol	NOUN
ap-4608	57	18	.	.	PUNCT
ap-4608	58	1	57	57	NUM
ap-4608	59	1	no	no	NOUN
ap-4608	59	2	.	.	PUNCT
ap-4608	60	1	6/2017	6/2017	NUM
ap-4608	60	2	lambert	lambert	PROPN
ap-4608	60	3	function	function	NOUN
ap-4608	60	4	methods	method	NOUN
ap-4608	60	5	0	0	NUM
ap-4608	60	6	500	500	NUM
ap-4608	60	7	1000	1000	NUM
ap-4608	60	8	1500	1500	NUM
ap-4608	60	9	2000	2000	NUM
ap-4608	60	10	time	time	NOUN
ap-4608	60	11	(	(	PUNCT
ap-4608	60	12	ns	ns	NUM
ap-4608	60	13	)	)	PUNCT
ap-4608	60	14	-0.1	-0.1	PROPN
ap-4608	60	15	-0.05	-0.05	NOUN
ap-4608	60	16	0	0	NUM
ap-4608	60	17	0.05	0.05	NUM
ap-4608	60	18	0.1	0.1	NUM
ap-4608	60	19	0.15	0.15	NUM
ap-4608	60	20	t	t	NOUN
ap-4608	61	1	i	i	PRON
ap-4608	61	2	m	m	VERB
ap-4608	61	3	ede	ede	PROPN
ap-4608	61	4	pe	pe	INTJ
ap-4608	61	5	nd	nd	PROPN
ap-4608	61	6	en	en	PROPN
ap-4608	61	7	t	t	PROPN
ap-4608	62	1	i	i	PRON
ap-4608	62	2	(	(	PUNCT
ap-4608	62	3	t	t	PROPN
ap-4608	62	4	)	)	PUNCT
ap-4608	62	5	an	an	DET
ap-4608	62	6	d	d	PROPN
ap-4608	62	7	n	n	CCONJ
ap-4608	62	8	(	(	PUNCT
ap-4608	62	9	t	t	PROPN
ap-4608	62	10	)	)	PUNCT
ap-4608	62	11	i(t	i(t	PROPN
ap-4608	62	12	)	)	PUNCT
ap-4608	62	13	n(t	n(t	PROPN
ap-4608	62	14	)	)	PUNCT
ap-4608	62	15	p=0.03	p=0.03	ADJ
ap-4608	62	16	,	,	PUNCT
ap-4608	62	17	=	=	SYM
ap-4608	62	18	1	1	NUM
ap-4608	62	19	figure	figure	NOUN
ap-4608	62	20	2	2	NUM
ap-4608	62	21	.	.	NOUN
ap-4608	62	22	time	time	NOUN
ap-4608	62	23	evolution	evolution	NOUN
ap-4608	62	24	of	of	ADP
ap-4608	62	25	the	the	DET
ap-4608	62	26	dimensionless	dimensionless	NOUN
ap-4608	62	27	electric	electric	ADJ
ap-4608	62	28	field	field	NOUN
ap-4608	62	29	intensity	intensity	NOUN
ap-4608	62	30	i(t	i(t	PROPN
ap-4608	62	31	)	)	PUNCT
ap-4608	62	32	=	=	SYM
ap-4608	62	33	|e(t)|2	|e(t)|2	NOUN
ap-4608	62	34	and	and	CCONJ
ap-4608	62	35	the	the	DET
ap-4608	62	36	excess	excess	ADJ
ap-4608	62	37	carrier	carrier	NOUN
ap-4608	62	38	inversion	inversion	NOUN
ap-4608	62	39	n(t	n(t	NOUN
ap-4608	62	40	)	)	PUNCT
ap-4608	62	41	in	in	ADP
ap-4608	62	42	typical	typical	ADJ
ap-4608	62	43	,	,	PUNCT
ap-4608	62	44	solitary	solitary	ADJ
ap-4608	62	45	semiconductor	semiconductor	NOUN
ap-4608	62	46	laser	laser	NOUN
ap-4608	62	47	shows	show	VERB
ap-4608	62	48	that	that	SCONJ
ap-4608	62	49	the	the	DET
ap-4608	62	50	electric	electric	ADJ
ap-4608	62	51	field	field	NOUN
ap-4608	62	52	rises	rise	VERB
ap-4608	62	53	exponentially	exponentially	ADV
ap-4608	62	54	in	in	ADP
ap-4608	62	55	a	a	DET
ap-4608	62	56	very	very	ADV
ap-4608	62	57	short	short	ADJ
ap-4608	62	58	window	window	NOUN
ap-4608	62	59	before	before	SCONJ
ap-4608	62	60	nonlinearities	nonlinearitie	NOUN
ap-4608	62	61	in	in	ADP
ap-4608	62	62	the	the	DET
ap-4608	62	63	gain	gain	NOUN
ap-4608	62	64	medium	medium	NOUN
ap-4608	62	65	become	become	VERB
ap-4608	62	66	effective	effective	ADJ
ap-4608	62	67	and	and	CCONJ
ap-4608	62	68	saturate	saturate	VERB
ap-4608	62	69	the	the	DET
ap-4608	62	70	intensity	intensity	NOUN
ap-4608	62	71	to	to	ADP
ap-4608	62	72	a	a	DET
ap-4608	62	73	steady	steady	ADJ
ap-4608	62	74	state	state	NOUN
ap-4608	62	75	value	value	NOUN
ap-4608	62	76	.	.	PUNCT
ap-4608	63	1	that	that	SCONJ
ap-4608	63	2	the	the	DET
ap-4608	63	3	two	two	NUM
ap-4608	63	4	coupled	couple	VERB
ap-4608	63	5	rate	rate	NOUN
ap-4608	63	6	equations	equation	NOUN
ap-4608	63	7	be	be	AUX
ap-4608	63	8	reduced	reduce	VERB
ap-4608	63	9	to	to	ADP
ap-4608	63	10	a	a	DET
ap-4608	63	11	single	single	ADJ
ap-4608	63	12	equation	equation	NOUN
ap-4608	63	13	with	with	ADP
ap-4608	63	14	time	time	NOUN
ap-4608	63	15	-	-	PUNCT
ap-4608	63	16	delay	delay	NOUN
ap-4608	63	17	.	.	PUNCT
ap-4608	64	1	in	in	ADP
ap-4608	64	2	this	this	DET
ap-4608	64	3	case	case	NOUN
ap-4608	64	4	,	,	PUNCT
ap-4608	64	5	it	it	PRON
ap-4608	64	6	means	mean	VERB
ap-4608	64	7	that	that	SCONJ
ap-4608	64	8	the	the	DET
ap-4608	64	9	model	model	NOUN
ap-4608	64	10	must	must	AUX
ap-4608	64	11	be	be	AUX
ap-4608	64	12	reduced	reduce	VERB
ap-4608	64	13	to	to	ADP
ap-4608	64	14	a	a	DET
ap-4608	64	15	rate	rate	NOUN
ap-4608	64	16	equation	equation	NOUN
ap-4608	64	17	for	for	ADP
ap-4608	64	18	the	the	DET
ap-4608	64	19	electric	electric	ADJ
ap-4608	64	20	field	field	NOUN
ap-4608	64	21	only	only	ADV
ap-4608	64	22	.	.	PUNCT
ap-4608	65	1	this	this	PRON
ap-4608	65	2	is	be	AUX
ap-4608	65	3	,	,	PUNCT
ap-4608	65	4	strictly	strictly	ADV
ap-4608	65	5	speaking	speak	VERB
ap-4608	65	6	,	,	PUNCT
ap-4608	65	7	not	not	PART
ap-4608	65	8	possible	possible	ADJ
ap-4608	65	9	for	for	ADP
ap-4608	65	10	semiconductor	semiconductor	NOUN
ap-4608	65	11	lasers	laser	NOUN
ap-4608	65	12	because	because	SCONJ
ap-4608	65	13	,	,	PUNCT
ap-4608	65	14	as	as	SCONJ
ap-4608	65	15	seen	see	VERB
ap-4608	65	16	in	in	ADP
ap-4608	65	17	figure	figure	NOUN
ap-4608	65	18	1	1	NUM
ap-4608	65	19	,	,	PUNCT
ap-4608	65	20	the	the	DET
ap-4608	65	21	characteristic	characteristic	ADJ
ap-4608	65	22	time	time	NOUN
ap-4608	65	23	scales	scale	VERB
ap-4608	65	24	on	on	ADP
ap-4608	65	25	which	which	PRON
ap-4608	65	26	the	the	DET
ap-4608	65	27	intracavity	intracavity	NOUN
ap-4608	65	28	field	field	NOUN
ap-4608	65	29	and	and	CCONJ
ap-4608	65	30	the	the	DET
ap-4608	65	31	excess	excess	ADJ
ap-4608	65	32	carrier	carrier	NOUN
ap-4608	65	33	inversion	inversion	NOUN
ap-4608	65	34	evolve	evolve	NOUN
ap-4608	65	35	are	be	AUX
ap-4608	65	36	of	of	ADP
ap-4608	65	37	the	the	DET
ap-4608	65	38	same	same	ADJ
ap-4608	65	39	order	order	NOUN
ap-4608	65	40	of	of	ADP
ap-4608	65	41	magnitude	magnitude	NOUN
ap-4608	65	42	.	.	PUNCT
ap-4608	66	1	however	however	ADV
ap-4608	66	2	,	,	PUNCT
ap-4608	66	3	with	with	ADP
ap-4608	66	4	advancements	advancement	NOUN
ap-4608	66	5	in	in	ADP
ap-4608	66	6	technology	technology	NOUN
ap-4608	66	7	,	,	PUNCT
ap-4608	66	8	it	it	PRON
ap-4608	66	9	may	may	AUX
ap-4608	66	10	well	well	ADV
ap-4608	66	11	be	be	AUX
ap-4608	66	12	possible	possible	ADJ
ap-4608	66	13	to	to	PART
ap-4608	66	14	fabricate	fabricate	VERB
ap-4608	66	15	lasers	laser	NOUN
ap-4608	66	16	in	in	ADP
ap-4608	66	17	which	which	PRON
ap-4608	66	18	the	the	DET
ap-4608	66	19	excess	excess	ADJ
ap-4608	66	20	carrier	carrier	NOUN
ap-4608	66	21	inversion	inversion	NOUN
ap-4608	66	22	evolves	evolve	VERB
ap-4608	66	23	much	much	ADV
ap-4608	66	24	faster	fast	ADV
ap-4608	66	25	than	than	ADP
ap-4608	66	26	the	the	DET
ap-4608	66	27	electric	electric	ADJ
ap-4608	66	28	field	field	NOUN
ap-4608	66	29	,	,	PUNCT
ap-4608	66	30	in	in	ADP
ap-4608	66	31	which	which	DET
ap-4608	66	32	case	case	NOUN
ap-4608	66	33	the	the	DET
ap-4608	66	34	rate	rate	NOUN
ap-4608	66	35	equation	equation	NOUN
ap-4608	66	36	for	for	ADP
ap-4608	66	37	the	the	DET
ap-4608	66	38	excess	excess	ADJ
ap-4608	66	39	carrier	carrier	NOUN
ap-4608	66	40	inversion	inversion	NOUN
ap-4608	66	41	can	can	AUX
ap-4608	66	42	be	be	AUX
ap-4608	66	43	eliminated	eliminate	VERB
ap-4608	66	44	.	.	PUNCT
ap-4608	67	1	this	this	PRON
ap-4608	67	2	entails	entail	VERB
ap-4608	67	3	setting	set	VERB
ap-4608	67	4	the	the	DET
ap-4608	67	5	time	time	NOUN
ap-4608	67	6	evolution	evolution	NOUN
ap-4608	67	7	of	of	ADP
ap-4608	67	8	the	the	DET
ap-4608	67	9	inversion	inversion	NOUN
ap-4608	67	10	to	to	ADP
ap-4608	67	11	zero	zero	NUM
ap-4608	67	12	,	,	PUNCT
ap-4608	67	13	i.e.	i.e.	X
ap-4608	67	14	,	,	PUNCT
ap-4608	67	15	dn(t)/dt	dn(t)/dt	X
ap-4608	67	16	=	=	SYM
ap-4608	67	17	0	0	NUM
ap-4608	67	18	,	,	PUNCT
ap-4608	67	19	solving	solve	VERB
ap-4608	67	20	for	for	ADP
ap-4608	67	21	the	the	DET
ap-4608	67	22	steady	steady	ADJ
ap-4608	67	23	state	state	NOUN
ap-4608	67	24	value	value	NOUN
ap-4608	67	25	of	of	ADP
ap-4608	67	26	n(t	n(t	PROPN
ap-4608	67	27	)	)	PUNCT
ap-4608	67	28	,	,	PUNCT
ap-4608	67	29	and	and	CCONJ
ap-4608	67	30	substituting	substitute	VERB
ap-4608	67	31	this	this	DET
ap-4608	67	32	expression	expression	NOUN
ap-4608	67	33	for	for	ADP
ap-4608	67	34	n(t	n(t	PROPN
ap-4608	67	35	)	)	PUNCT
ap-4608	67	36	in	in	ADP
ap-4608	67	37	the	the	DET
ap-4608	67	38	rate	rate	NOUN
ap-4608	67	39	equation	equation	NOUN
ap-4608	67	40	for	for	ADP
ap-4608	67	41	the	the	DET
ap-4608	67	42	electric	electric	ADJ
ap-4608	67	43	field	field	NOUN
ap-4608	67	44	(	(	PUNCT
ap-4608	67	45	1	1	NUM
ap-4608	67	46	)	)	PUNCT
ap-4608	67	47	.	.	PUNCT
ap-4608	68	1	the	the	DET
ap-4608	68	2	model	model	NOUN
ap-4608	68	3	is	be	AUX
ap-4608	68	4	thereby	thereby	ADV
ap-4608	68	5	reduced	reduce	VERB
ap-4608	68	6	to	to	ADP
ap-4608	68	7	a	a	DET
ap-4608	68	8	single	single	ADJ
ap-4608	68	9	,	,	PUNCT
ap-4608	68	10	time	time	NOUN
ap-4608	68	11	-	-	PUNCT
ap-4608	68	12	delayed	delay	VERB
ap-4608	68	13	rate	rate	NOUN
ap-4608	68	14	equation	equation	NOUN
ap-4608	68	15	that	that	PRON
ap-4608	68	16	is	be	AUX
ap-4608	68	17	amenable	amenable	ADJ
ap-4608	68	18	to	to	ADP
ap-4608	68	19	the	the	DET
ap-4608	68	20	use	use	NOUN
ap-4608	68	21	of	of	ADP
ap-4608	68	22	the	the	DET
ap-4608	68	23	lambert	lambert	PROPN
ap-4608	68	24	function	function	NOUN
ap-4608	68	25	.	.	PUNCT
ap-4608	69	1	another	another	DET
ap-4608	69	2	possibility	possibility	NOUN
ap-4608	69	3	is	be	AUX
ap-4608	69	4	to	to	PART
ap-4608	69	5	fabricate	fabricate	VERB
ap-4608	69	6	a	a	DET
ap-4608	69	7	laser	laser	NOUN
ap-4608	69	8	in	in	ADP
ap-4608	69	9	which	which	PRON
ap-4608	69	10	the	the	DET
ap-4608	69	11	carrier	carrier	NOUN
ap-4608	69	12	inversion	inversion	NOUN
ap-4608	69	13	relaxation	relaxation	NOUN
ap-4608	69	14	time	time	NOUN
ap-4608	69	15	is	be	AUX
ap-4608	69	16	much	much	ADV
ap-4608	69	17	larger	large	ADJ
ap-4608	69	18	than	than	ADP
ap-4608	69	19	the	the	DET
ap-4608	69	20	electric	electric	ADJ
ap-4608	69	21	field	field	NOUN
ap-4608	69	22	decay	decay	NOUN
ap-4608	69	23	time	time	NOUN
ap-4608	69	24	.	.	PUNCT
ap-4608	70	1	in	in	ADP
ap-4608	70	2	this	this	DET
ap-4608	70	3	case	case	NOUN
ap-4608	70	4	,	,	PUNCT
ap-4608	70	5	the	the	DET
ap-4608	70	6	inversion	inversion	NOUN
ap-4608	70	7	does	do	AUX
ap-4608	70	8	not	not	PART
ap-4608	70	9	evolve	evolve	VERB
ap-4608	70	10	during	during	ADP
ap-4608	70	11	the	the	DET
ap-4608	70	12	time	time	NOUN
ap-4608	70	13	that	that	SCONJ
ap-4608	70	14	the	the	DET
ap-4608	70	15	electric	electric	ADJ
ap-4608	70	16	field	field	NOUN
ap-4608	70	17	reaches	reach	VERB
ap-4608	70	18	a	a	DET
ap-4608	70	19	steady	steady	ADJ
ap-4608	70	20	state	state	NOUN
ap-4608	70	21	,	,	PUNCT
ap-4608	70	22	and	and	CCONJ
ap-4608	70	23	one	one	NUM
ap-4608	70	24	can	can	AUX
ap-4608	70	25	,	,	PUNCT
ap-4608	70	26	once	once	ADV
ap-4608	70	27	again	again	ADV
ap-4608	70	28	,	,	PUNCT
ap-4608	70	29	focus	focus	VERB
ap-4608	70	30	on	on	ADP
ap-4608	70	31	the	the	DET
ap-4608	70	32	single	single	ADJ
ap-4608	70	33	,	,	PUNCT
ap-4608	70	34	time	time	NOUN
ap-4608	70	35	-	-	PUNCT
ap-4608	70	36	delayed	delay	VERB
ap-4608	70	37	rate	rate	NOUN
ap-4608	70	38	equation	equation	NOUN
ap-4608	70	39	for	for	ADP
ap-4608	70	40	the	the	DET
ap-4608	70	41	electric	electric	ADJ
ap-4608	70	42	field	field	NOUN
ap-4608	70	43	.	.	PUNCT
ap-4608	71	1	in	in	ADP
ap-4608	71	2	addition	addition	NOUN
ap-4608	71	3	to	to	ADP
ap-4608	71	4	the	the	DET
ap-4608	71	5	elimination	elimination	NOUN
ap-4608	71	6	of	of	ADP
ap-4608	71	7	the	the	DET
ap-4608	71	8	inversion	inversion	NOUN
ap-4608	71	9	equation	equation	NOUN
ap-4608	71	10	,	,	PUNCT
ap-4608	71	11	the	the	DET
ap-4608	71	12	lambert	lambert	NOUN
ap-4608	71	13	formalism	formalism	NOUN
ap-4608	71	14	is	be	AUX
ap-4608	71	15	strictly	strictly	ADV
ap-4608	71	16	applicable	applicable	ADJ
ap-4608	71	17	to	to	ADP
ap-4608	71	18	the	the	DET
ap-4608	71	19	case	case	NOUN
ap-4608	71	20	of	of	ADP
ap-4608	71	21	a	a	DET
ap-4608	71	22	semiconductor	semiconductor	NOUN
ap-4608	71	23	laser	laser	NOUN
ap-4608	71	24	with	with	ADP
ap-4608	71	25	time	time	NOUN
ap-4608	71	26	-	-	PUNCT
ap-4608	71	27	delayed	delay	VERB
ap-4608	71	28	feedback	feedback	NOUN
ap-4608	71	29	only	only	ADV
ap-4608	71	30	when	when	SCONJ
ap-4608	71	31	the	the	DET
ap-4608	71	32	nonlinearities	nonlinearitie	NOUN
ap-4608	71	33	that	that	PRON
ap-4608	71	34	arise	arise	VERB
ap-4608	71	35	from	from	ADP
ap-4608	71	36	the	the	DET
ap-4608	71	37	cubic	cubic	ADJ
ap-4608	71	38	term	term	NOUN
ap-4608	71	39	in	in	ADP
ap-4608	71	40	the	the	DET
ap-4608	71	41	electric	electric	ADJ
ap-4608	71	42	field	field	NOUN
ap-4608	71	43	are	be	AUX
ap-4608	71	44	also	also	ADV
ap-4608	71	45	ignored	ignore	VERB
ap-4608	71	46	.	.	PUNCT
ap-4608	72	1	physically	physically	ADV
ap-4608	72	2	,	,	PUNCT
ap-4608	72	3	this	this	PRON
ap-4608	72	4	means	mean	VERB
ap-4608	72	5	that	that	SCONJ
ap-4608	72	6	the	the	DET
ap-4608	72	7	formalism	formalism	NOUN
ap-4608	72	8	is	be	AUX
ap-4608	72	9	valid	valid	ADJ
ap-4608	72	10	when	when	SCONJ
ap-4608	72	11	two	two	NUM
ap-4608	72	12	conditions	condition	NOUN
ap-4608	72	13	are	be	AUX
ap-4608	72	14	simultaneously	simultaneously	ADV
ap-4608	72	15	satisfied	satisfied	ADJ
ap-4608	72	16	(	(	PUNCT
ap-4608	72	17	i	i	NOUN
ap-4608	72	18	)	)	PUNCT
ap-4608	72	19	the	the	DET
ap-4608	72	20	excess	excess	ADJ
ap-4608	72	21	carrier	carrier	NOUN
ap-4608	72	22	inversion	inversion	NOUN
ap-4608	72	23	n(t	n(t	NOUN
ap-4608	72	24	)	)	PUNCT
ap-4608	72	25	has	have	AUX
ap-4608	72	26	reached	reach	VERB
ap-4608	72	27	its	its	PRON
ap-4608	72	28	steady	steady	ADJ
ap-4608	72	29	state	state	NOUN
ap-4608	72	30	value	value	NOUN
ap-4608	72	31	,	,	PUNCT
ap-4608	72	32	and	and	CCONJ
ap-4608	72	33	(	(	PUNCT
ap-4608	72	34	ii	ii	NOUN
ap-4608	72	35	)	)	PUNCT
ap-4608	72	36	the	the	DET
ap-4608	72	37	laser	laser	NOUN
ap-4608	72	38	has	have	AUX
ap-4608	72	39	reaches	reach	VERB
ap-4608	72	40	threshold	threshold	NOUN
ap-4608	72	41	and	and	CCONJ
ap-4608	72	42	the	the	DET
ap-4608	72	43	intracavity	intracavity	PROPN
ap-4608	72	44	electric	electric	ADJ
ap-4608	72	45	field	field	NOUN
ap-4608	72	46	e(t	e(t	NOUN
ap-4608	72	47	)	)	PUNCT
ap-4608	72	48	is	be	AUX
ap-4608	72	49	starting	start	VERB
ap-4608	72	50	to	to	PART
ap-4608	72	51	grow	grow	VERB
ap-4608	72	52	exponentially	exponentially	ADV
ap-4608	72	53	,	,	PUNCT
ap-4608	72	54	but	but	CCONJ
ap-4608	72	55	the	the	DET
ap-4608	72	56	intensity	intensity	NOUN
ap-4608	72	57	saturation	saturation	NOUN
ap-4608	72	58	that	that	PRON
ap-4608	72	59	typically	typically	ADV
ap-4608	72	60	sets	set	VERB
ap-4608	72	61	in	in	ADP
ap-4608	72	62	due	due	ADP
ap-4608	72	63	to	to	ADP
ap-4608	72	64	the	the	DET
ap-4608	72	65	nonlinearities	nonlinearitie	NOUN
ap-4608	72	66	in	in	ADP
ap-4608	72	67	the	the	DET
ap-4608	72	68	gain	gain	NOUN
ap-4608	72	69	is	be	AUX
ap-4608	72	70	yet	yet	ADV
ap-4608	72	71	to	to	PART
ap-4608	72	72	occur	occur	VERB
ap-4608	72	73	.	.	PUNCT
ap-4608	73	1	for	for	ADP
ap-4608	73	2	typical	typical	ADJ
ap-4608	73	3	semiconductor	semiconductor	NOUN
ap-4608	73	4	laser	laser	NOUN
ap-4608	73	5	parameters	parameter	NOUN
ap-4608	73	6	(	(	PUNCT
ap-4608	73	7	with	with	ADP
ap-4608	73	8	no	no	DET
ap-4608	73	9	time	time	NOUN
ap-4608	73	10	-	-	PUNCT
ap-4608	73	11	delayed	delay	VERB
ap-4608	73	12	feedback	feedback	NOUN
ap-4608	73	13	)	)	PUNCT
ap-4608	73	14	,	,	PUNCT
ap-4608	73	15	this	this	DET
ap-4608	73	16	time	time	NOUN
ap-4608	73	17	window	window	NOUN
ap-4608	73	18	between	between	ADP
ap-4608	73	19	the	the	DET
ap-4608	73	20	inversion	inversion	NOUN
ap-4608	73	21	settling	settle	VERB
ap-4608	73	22	to	to	ADP
ap-4608	73	23	a	a	DET
ap-4608	73	24	steady	steady	ADJ
ap-4608	73	25	state	state	NOUN
ap-4608	73	26	value	value	NOUN
ap-4608	73	27	and	and	CCONJ
ap-4608	73	28	the	the	DET
ap-4608	73	29	intensity	intensity	NOUN
ap-4608	73	30	getting	getting	AUX
ap-4608	73	31	saturated	saturate	VERB
ap-4608	73	32	is	be	AUX
ap-4608	73	33	negligibly	negligibly	ADV
ap-4608	73	34	small	small	ADJ
ap-4608	73	35	.	.	PUNCT
ap-4608	74	1	figure	figure	NOUN
ap-4608	74	2	2	2	NUM
ap-4608	74	3	shows	show	VERB
ap-4608	74	4	the	the	DET
ap-4608	74	5	typical	typical	ADJ
ap-4608	74	6	time	time	NOUN
ap-4608	74	7	evolution	evolution	NOUN
ap-4608	74	8	of	of	ADP
ap-4608	74	9	a	a	DET
ap-4608	74	10	solitary	solitary	ADJ
ap-4608	74	11	semiconductor	semiconductor	NOUN
ap-4608	74	12	laser	laser	NOUN
ap-4608	74	13	(	(	PUNCT
ap-4608	74	14	α	α	NOUN
ap-4608	74	15	=	=	SYM
ap-4608	74	16	3	3	NUM
ap-4608	74	17	,	,	PUNCT
ap-4608	74	18	pumping	pump	VERB
ap-4608	74	19	p	p	NOUN
ap-4608	74	20	=	=	NOUN
ap-4608	74	21	0.03	0.03	NUM
ap-4608	74	22	,	,	PUNCT
ap-4608	74	23	and	and	CCONJ
ap-4608	74	24	differential	differential	ADJ
ap-4608	74	25	gain	gain	NOUN
ap-4608	74	26	coefficient	coefficient	VERB
ap-4608	74	27	ζ	ζ	NOUN
ap-4608	74	28	=	=	SYM
ap-4608	74	29	1	1	NUM
ap-4608	74	30	)	)	PUNCT
ap-4608	74	31	with	with	ADP
ap-4608	74	32	initial	initial	ADJ
ap-4608	74	33	excess	excess	ADJ
ap-4608	74	34	carrier	carrier	NOUN
ap-4608	74	35	inversion	inversion	NOUN
ap-4608	74	36	,	,	PUNCT
ap-4608	74	37	i.e.	i.e.	X
ap-4608	74	38	,	,	PUNCT
ap-4608	74	39	n(t	n(t	PROPN
ap-4608	74	40	=	=	SYM
ap-4608	74	41	0	0	NUM
ap-4608	74	42	)	)	PUNCT
ap-4608	74	43	=	=	SYM
ap-4608	75	1	−0.1	−0.1	PROPN
ap-4608	75	2	,	,	PUNCT
ap-4608	75	3	and	and	CCONJ
ap-4608	75	4	we	we	PRON
ap-4608	75	5	see	see	VERB
ap-4608	75	6	that	that	SCONJ
ap-4608	75	7	the	the	DET
ap-4608	75	8	exponential	exponential	ADJ
ap-4608	75	9	electric	electric	ADJ
ap-4608	75	10	field	field	NOUN
ap-4608	75	11	rise	rise	NOUN
ap-4608	75	12	occurs	occur	VERB
ap-4608	75	13	in	in	ADP
ap-4608	75	14	a	a	DET
ap-4608	75	15	very	very	ADV
ap-4608	75	16	short	short	ADJ
ap-4608	75	17	time	time	NOUN
ap-4608	75	18	interval	interval	NOUN
ap-4608	75	19	.	.	PUNCT
ap-4608	76	1	this	this	PRON
ap-4608	76	2	essentially	essentially	ADV
ap-4608	76	3	means	mean	VERB
ap-4608	76	4	that	that	SCONJ
ap-4608	76	5	the	the	DET
ap-4608	76	6	predictions	prediction	NOUN
ap-4608	76	7	of	of	ADP
ap-4608	76	8	the	the	DET
ap-4608	76	9	analytic	analytic	ADJ
ap-4608	76	10	solutions	solution	NOUN
ap-4608	76	11	(	(	PUNCT
ap-4608	76	12	5	5	NUM
ap-4608	76	13	)	)	PUNCT
ap-4608	76	14	,	,	PUNCT
ap-4608	76	15	obtained	obtain	VERB
ap-4608	76	16	via	via	ADP
ap-4608	76	17	the	the	DET
ap-4608	76	18	lambert	lambert	PROPN
ap-4608	76	19	function	function	PROPN
ap-4608	76	20	approach	approach	NOUN
ap-4608	76	21	will	will	AUX
ap-4608	76	22	be	be	AUX
ap-4608	76	23	visible	visible	ADJ
ap-4608	76	24	in	in	ADP
ap-4608	76	25	a	a	DET
ap-4608	76	26	very	very	ADV
ap-4608	76	27	tiny	tiny	ADJ
ap-4608	76	28	time	time	NOUN
ap-4608	76	29	window	window	NOUN
ap-4608	76	30	.	.	PUNCT
ap-4608	77	1	what	what	PRON
ap-4608	77	2	is	be	AUX
ap-4608	77	3	desired	desire	VERB
ap-4608	77	4	however	however	ADV
ap-4608	77	5	is	be	AUX
ap-4608	77	6	a	a	DET
ap-4608	77	7	wider	wide	ADJ
ap-4608	77	8	time	time	NOUN
ap-4608	77	9	window	window	NOUN
ap-4608	77	10	between	between	ADP
ap-4608	77	11	the	the	DET
ap-4608	77	12	inversion	inversion	NOUN
ap-4608	77	13	reaching	reach	VERB
ap-4608	77	14	a	a	DET
ap-4608	77	15	steady	steady	ADJ
ap-4608	77	16	state	state	NOUN
ap-4608	77	17	and	and	CCONJ
ap-4608	77	18	the	the	DET
ap-4608	77	19	intensity	intensity	NOUN
ap-4608	77	20	of	of	ADP
ap-4608	77	21	the	the	DET
ap-4608	77	22	laser	laser	NOUN
ap-4608	77	23	not	not	PART
ap-4608	77	24	yet	yet	ADV
ap-4608	77	25	being	be	AUX
ap-4608	77	26	saturated	saturate	VERB
ap-4608	77	27	,	,	PUNCT
ap-4608	77	28	i.e.	i.e.	X
ap-4608	77	29	,	,	PUNCT
ap-4608	77	30	the	the	DET
ap-4608	77	31	intensity	intensity	NOUN
ap-4608	77	32	is	be	AUX
ap-4608	77	33	still	still	ADV
ap-4608	77	34	in	in	ADP
ap-4608	77	35	the	the	DET
ap-4608	77	36	exponential	exponential	ADJ
ap-4608	77	37	amplification	amplification	NOUN
ap-4608	77	38	regime	regime	NOUN
ap-4608	77	39	.	.	PUNCT
ap-4608	78	1	since	since	SCONJ
ap-4608	78	2	the	the	DET
ap-4608	78	3	intensity	intensity	NOUN
ap-4608	78	4	at	at	ADP
ap-4608	78	5	very	very	ADV
ap-4608	78	6	short	short	ADJ
ap-4608	78	7	times	time	NOUN
ap-4608	78	8	grows	grow	VERB
ap-4608	78	9	exponentially	exponentially	ADV
ap-4608	78	10	with	with	ADP
ap-4608	78	11	the	the	DET
ap-4608	78	12	product	product	NOUN
ap-4608	78	13	of	of	ADP
ap-4608	78	14	the	the	DET
ap-4608	78	15	differential	differential	ADJ
ap-4608	78	16	gain	gain	NOUN
ap-4608	78	17	coefficient	coefficient	NOUN
ap-4608	78	18	ζ	ζ	NOUN
ap-4608	78	19	and	and	CCONJ
ap-4608	78	20	n(t	n(t	NUM
ap-4608	78	21	)	)	PUNCT
ap-4608	78	22	,	,	PUNCT
ap-4608	78	23	and	and	CCONJ
ap-4608	78	24	because	because	SCONJ
ap-4608	78	25	the	the	DET
ap-4608	78	26	steady	steady	ADJ
ap-4608	78	27	-	-	PUNCT
ap-4608	78	28	state	state	NOUN
ap-4608	78	29	value	value	NOUN
ap-4608	78	30	of	of	ADP
ap-4608	78	31	n(t	n(t	PROPN
ap-4608	78	32	)	)	PUNCT
ap-4608	78	33	is	be	AUX
ap-4608	78	34	a	a	DET
ap-4608	78	35	function	function	NOUN
ap-4608	78	36	of	of	ADP
ap-4608	78	37	the	the	DET
ap-4608	78	38	pumping	pump	VERB
ap-4608	78	39	p	p	NOUN
ap-4608	78	40	,	,	PUNCT
ap-4608	78	41	one	one	PRON
ap-4608	78	42	can	can	AUX
ap-4608	78	43	manipulate	manipulate	VERB
ap-4608	78	44	these	these	DET
ap-4608	78	45	two	two	NUM
ap-4608	78	46	quantities	quantity	NOUN
ap-4608	78	47	to	to	PART
ap-4608	78	48	slow	slow	VERB
ap-4608	78	49	down	down	ADP
ap-4608	78	50	the	the	DET
ap-4608	78	51	exponential	exponential	ADJ
ap-4608	78	52	growth	growth	NOUN
ap-4608	78	53	of	of	ADP
ap-4608	78	54	laser	laser	NOUN
ap-4608	78	55	intensity	intensity	NOUN
ap-4608	78	56	and	and	CCONJ
ap-4608	78	57	thereby	thereby	ADV
ap-4608	78	58	enhance	enhance	VERB
ap-4608	78	59	the	the	DET
ap-4608	78	60	time	time	NOUN
ap-4608	78	61	window	window	NOUN
ap-4608	78	62	in	in	ADP
ap-4608	78	63	which	which	PRON
ap-4608	78	64	both	both	DET
ap-4608	78	65	conditions	condition	NOUN
ap-4608	78	66	are	be	AUX
ap-4608	78	67	simultaneously	simultaneously	ADV
ap-4608	78	68	met	meet	VERB
ap-4608	78	69	.	.	PUNCT
ap-4608	79	1	figure	figure	NOUN
ap-4608	79	2	3	3	NUM
ap-4608	79	3	shows	show	VERB
ap-4608	79	4	the	the	DET
ap-4608	79	5	time	time	NOUN
ap-4608	79	6	-	-	PUNCT
ap-4608	79	7	dependent	dependent	ADJ
ap-4608	79	8	laser	laser	NOUN
ap-4608	79	9	intensities	intensitie	VERB
ap-4608	79	10	i(t	i(t	NOUN
ap-4608	79	11	)	)	PUNCT
ap-4608	80	1	=	=	NOUN
ap-4608	80	2	|e(t)|2	|e(t)|2	NOUN
ap-4608	80	3	when	when	SCONJ
ap-4608	80	4	the	the	DET
ap-4608	80	5	inversion	inversion	NOUN
ap-4608	80	6	is	be	AUX
ap-4608	80	7	adiabatically	adiabatically	ADV
ap-4608	80	8	eliminated	eliminate	VERB
ap-4608	80	9	and	and	CCONJ
ap-4608	80	10	only	only	ADV
ap-4608	80	11	the	the	DET
ap-4608	80	12	electric	electric	ADJ
ap-4608	80	13	field	field	NOUN
ap-4608	80	14	equation	equation	NOUN
ap-4608	80	15	is	be	AUX
ap-4608	80	16	solved	solve	VERB
ap-4608	80	17	,	,	PUNCT
ap-4608	80	18	as	as	SCONJ
ap-4608	80	19	a	a	DET
ap-4608	80	20	function	function	NOUN
ap-4608	80	21	of	of	ADP
ap-4608	80	22	differential	differential	ADJ
ap-4608	80	23	gain	gain	VERB
ap-4608	80	24	ζ	ζ	NOUN
ap-4608	80	25	and	and	CCONJ
ap-4608	80	26	pump	pump	VERB
ap-4608	80	27	power	power	NOUN
ap-4608	80	28	p	p	NOUN
ap-4608	80	29	.	.	PUNCT
ap-4608	81	1	we	we	PRON
ap-4608	81	2	note	note	VERB
ap-4608	81	3	that	that	SCONJ
ap-4608	81	4	the	the	DET
ap-4608	81	5	time	time	NOUN
ap-4608	81	6	axis	axis	NOUN
ap-4608	81	7	only	only	ADV
ap-4608	81	8	contains	contain	VERB
ap-4608	81	9	range	range	NOUN
ap-4608	81	10	after	after	ADP
ap-4608	81	11	which	which	PRON
ap-4608	81	12	the	the	DET
ap-4608	81	13	carrier	carrier	NOUN
ap-4608	81	14	inversion	inversion	NOUN
ap-4608	81	15	has	have	AUX
ap-4608	81	16	settled	settle	VERB
ap-4608	81	17	down	down	ADP
ap-4608	81	18	.	.	PUNCT
ap-4608	82	1	it	it	PRON
ap-4608	82	2	is	be	AUX
ap-4608	82	3	evident	evident	ADJ
ap-4608	82	4	from	from	ADP
ap-4608	82	5	the	the	DET
ap-4608	82	6	left	left	ADJ
ap-4608	82	7	-	-	PUNCT
ap-4608	82	8	hand	hand	NOUN
ap-4608	82	9	panel	panel	NOUN
ap-4608	82	10	that	that	PRON
ap-4608	82	11	for	for	ADP
ap-4608	82	12	a	a	DET
ap-4608	82	13	fixed	fixed	ADJ
ap-4608	82	14	ζ	ζ	NOUN
ap-4608	82	15	,	,	PUNCT
ap-4608	82	16	as	as	SCONJ
ap-4608	82	17	the	the	DET
ap-4608	82	18	pump	pump	NOUN
ap-4608	82	19	power	power	NOUN
ap-4608	82	20	is	be	AUX
ap-4608	82	21	reduced	reduce	VERB
ap-4608	82	22	from	from	ADP
ap-4608	82	23	p	p	NOUN
ap-4608	82	24	=	=	NOUN
ap-4608	82	25	0.09	0.09	NUM
ap-4608	82	26	to	to	ADP
ap-4608	82	27	p	p	NOUN
ap-4608	82	28	=	=	NOUN
ap-4608	82	29	0.07	0.07	NUM
ap-4608	82	30	,	,	PUNCT
ap-4608	82	31	the	the	DET
ap-4608	82	32	exponential	exponential	ADJ
ap-4608	82	33	growth	growth	NOUN
ap-4608	82	34	of	of	ADP
ap-4608	82	35	intensity	intensity	NOUN
ap-4608	82	36	is	be	AUX
ap-4608	82	37	slowed	slow	VERB
ap-4608	82	38	,	,	PUNCT
ap-4608	82	39	thereby	thereby	ADV
ap-4608	82	40	providing	provide	VERB
ap-4608	82	41	a	a	DET
ap-4608	82	42	wider	wide	ADJ
ap-4608	82	43	window	window	NOUN
ap-4608	82	44	of	of	ADP
ap-4608	82	45	time	time	NOUN
ap-4608	82	46	in	in	ADP
ap-4608	82	47	which	which	PRON
ap-4608	82	48	to	to	PART
ap-4608	82	49	make	make	VERB
ap-4608	82	50	any	any	DET
ap-4608	82	51	desired	desire	VERB
ap-4608	82	52	measurements	measurement	NOUN
ap-4608	82	53	of	of	ADP
ap-4608	82	54	the	the	DET
ap-4608	82	55	laser	laser	NOUN
ap-4608	82	56	intensity	intensity	NOUN
ap-4608	82	57	dynamics	dynamic	NOUN
ap-4608	82	58	.	.	PUNCT
ap-4608	83	1	the	the	DET
ap-4608	83	2	right	right	ADJ
ap-4608	83	3	-	-	PUNCT
ap-4608	83	4	hand	hand	NOUN
ap-4608	83	5	panel	panel	NOUN
ap-4608	83	6	shows	show	VERB
ap-4608	83	7	that	that	SCONJ
ap-4608	83	8	for	for	ADP
ap-4608	83	9	a	a	DET
ap-4608	83	10	fixed	fix	VERB
ap-4608	83	11	pumping	pumping	NOUN
ap-4608	83	12	,	,	PUNCT
ap-4608	83	13	as	as	SCONJ
ap-4608	83	14	ζ	ζ	NOUN
ap-4608	83	15	is	be	AUX
ap-4608	83	16	reduced	reduce	VERB
ap-4608	83	17	,	,	PUNCT
ap-4608	83	18	the	the	DET
ap-4608	83	19	intensity	intensity	NOUN
ap-4608	83	20	growth	growth	NOUN
ap-4608	83	21	is	be	AUX
ap-4608	83	22	slowed	slow	VERB
ap-4608	83	23	.	.	PUNCT
ap-4608	84	1	while	while	SCONJ
ap-4608	84	2	the	the	DET
ap-4608	84	3	external	external	ADJ
ap-4608	84	4	pump	pump	NOUN
ap-4608	84	5	is	be	AUX
ap-4608	84	6	an	an	DET
ap-4608	84	7	easily	easily	ADV
ap-4608	84	8	varied	varied	ADJ
ap-4608	84	9	parameter	parameter	NOUN
ap-4608	84	10	in	in	ADP
ap-4608	84	11	experiments	experiment	NOUN
ap-4608	84	12	,	,	PUNCT
ap-4608	84	13	the	the	DET
ap-4608	84	14	differential	differential	ADJ
ap-4608	84	15	gain	gain	NOUN
ap-4608	84	16	coefficient	coefficient	NOUN
ap-4608	84	17	ζ	ζ	NOUN
ap-4608	84	18	is	be	AUX
ap-4608	84	19	a	a	DET
ap-4608	84	20	material	material	NOUN
ap-4608	84	21	parameter	parameter	NOUN
ap-4608	84	22	and	and	CCONJ
ap-4608	84	23	hence	hence	ADV
ap-4608	84	24	can	can	AUX
ap-4608	84	25	not	not	PART
ap-4608	84	26	be	be	AUX
ap-4608	84	27	tuned	tune	VERB
ap-4608	84	28	in	in	ADP
ap-4608	84	29	a	a	DET
ap-4608	84	30	given	give	VERB
ap-4608	84	31	laser	laser	NOUN
ap-4608	84	32	.	.	PUNCT
ap-4608	85	1	on	on	ADP
ap-4608	85	2	the	the	DET
ap-4608	85	3	other	other	ADJ
ap-4608	85	4	hand	hand	NOUN
ap-4608	85	5	,	,	PUNCT
ap-4608	85	6	reducing	reduce	VERB
ap-4608	85	7	the	the	DET
ap-4608	85	8	pump	pump	NOUN
ap-4608	85	9	power	power	NOUN
ap-4608	85	10	close	close	ADJ
ap-4608	85	11	to	to	ADP
ap-4608	85	12	zero	zero	NUM
ap-4608	85	13	means	mean	VERB
ap-4608	85	14	the	the	DET
ap-4608	85	15	laser	laser	NOUN
ap-4608	85	16	is	be	AUX
ap-4608	85	17	operating	operate	VERB
ap-4608	85	18	very	very	ADV
ap-4608	85	19	close	close	ADV
ap-4608	85	20	to	to	ADP
ap-4608	85	21	the	the	DET
ap-4608	85	22	threshold	threshold	NOUN
ap-4608	85	23	,	,	PUNCT
ap-4608	85	24	and	and	CCONJ
ap-4608	85	25	that	that	PRON
ap-4608	85	26	leads	lead	VERB
ap-4608	85	27	to	to	ADP
ap-4608	85	28	enhanced	enhanced	ADJ
ap-4608	85	29	quantum	quantum	ADJ
ap-4608	85	30	fluctuations	fluctuation	NOUN
ap-4608	85	31	whose	whose	DET
ap-4608	85	32	effects	effect	NOUN
ap-4608	85	33	are	be	AUX
ap-4608	85	34	not	not	PART
ap-4608	85	35	included	include	VERB
ap-4608	85	36	in	in	ADP
ap-4608	85	37	the	the	DET
ap-4608	85	38	present	present	ADJ
ap-4608	85	39	analysis	analysis	NOUN
ap-4608	85	40	.	.	PUNCT
ap-4608	86	1	thus	thus	ADV
ap-4608	86	2	,	,	PUNCT
ap-4608	86	3	our	our	PRON
ap-4608	86	4	results	result	NOUN
ap-4608	86	5	provide	provide	VERB
ap-4608	86	6	some	some	DET
ap-4608	86	7	guidance	guidance	NOUN
ap-4608	86	8	on	on	ADP
ap-4608	86	9	the	the	DET
ap-4608	86	10	material	material	NOUN
ap-4608	86	11	parameters	parameter	NOUN
ap-4608	86	12	that	that	PRON
ap-4608	86	13	are	be	AUX
ap-4608	86	14	necessary	necessary	ADJ
ap-4608	86	15	for	for	SCONJ
ap-4608	86	16	a	a	DET
ap-4608	86	17	laser	laser	NOUN
ap-4608	86	18	to	to	PART
ap-4608	86	19	meet	meet	VERB
ap-4608	86	20	such	such	ADJ
ap-4608	86	21	that	that	SCONJ
ap-4608	86	22	the	the	DET
ap-4608	86	23	lambert	lambert	NOUN
ap-4608	86	24	formalism	formalism	NOUN
ap-4608	86	25	will	will	AUX
ap-4608	86	26	be	be	AUX
ap-4608	86	27	applicable	applicable	ADJ
ap-4608	86	28	to	to	PART
ap-4608	86	29	analytically	analytically	ADV
ap-4608	86	30	study	study	VERB
ap-4608	86	31	the	the	DET
ap-4608	86	32	dynamics	dynamic	NOUN
ap-4608	86	33	of	of	ADP
ap-4608	86	34	the	the	DET
ap-4608	86	35	laser	laser	NOUN
ap-4608	86	36	.	.	PUNCT
ap-4608	87	1	under	under	ADP
ap-4608	87	2	these	these	DET
ap-4608	87	3	conditions	condition	NOUN
ap-4608	87	4	,	,	PUNCT
ap-4608	87	5	the	the	DET
ap-4608	87	6	rate	rate	NOUN
ap-4608	87	7	equation	equation	NOUN
ap-4608	87	8	for	for	ADP
ap-4608	87	9	the	the	DET
ap-4608	87	10	electric	electric	ADJ
ap-4608	87	11	field	field	NOUN
ap-4608	87	12	can	can	AUX
ap-4608	87	13	be	be	AUX
ap-4608	87	14	written	write	VERB
ap-4608	87	15	as	as	ADP
ap-4608	87	16	de	de	X
ap-4608	87	17	dt	dt	NOUN
ap-4608	87	18	=	=	PUNCT
ap-4608	87	19	(	(	PUNCT
ap-4608	87	20	1	1	NUM
ap-4608	87	21	+	+	CCONJ
ap-4608	87	22	iα)ζn0e(t	iα)ζn0e(t	ADJ
ap-4608	87	23	)	)	PUNCT
ap-4608	88	1	+	+	CCONJ
ap-4608	88	2	κe(t−	κe(t−	X
ap-4608	88	3	τ	τ	X
ap-4608	88	4	)	)	PUNCT
ap-4608	88	5	(	(	PUNCT
ap-4608	88	6	6	6	NUM
ap-4608	88	7	)	)	PUNCT
ap-4608	88	8	where	where	SCONJ
ap-4608	88	9	n0	n0	ADJ
ap-4608	88	10	∼	∼	NOUN
ap-4608	88	11	p	p	NOUN
ap-4608	88	12	is	be	AUX
ap-4608	88	13	the	the	DET
ap-4608	88	14	steady	steady	ADJ
ap-4608	88	15	-	-	PUNCT
ap-4608	88	16	state	state	NOUN
ap-4608	88	17	value	value	NOUN
ap-4608	88	18	of	of	ADP
ap-4608	88	19	the	the	DET
ap-4608	88	20	carrier	carrier	NOUN
ap-4608	88	21	inversion	inversion	NOUN
ap-4608	88	22	.	.	PUNCT
ap-4608	89	1	this	this	DET
ap-4608	89	2	equation	equation	NOUN
ap-4608	89	3	is	be	AUX
ap-4608	89	4	identical	identical	ADJ
ap-4608	89	5	to	to	ADP
ap-4608	89	6	(	(	PUNCT
ap-4608	89	7	3	3	NUM
ap-4608	89	8	)	)	PUNCT
ap-4608	89	9	with	with	ADP
ap-4608	89	10	a	a	DET
ap-4608	89	11	401	401	NUM
ap-4608	89	12	yogesh	yogesh	PROPN
ap-4608	89	13	,	,	PUNCT
ap-4608	89	14	andrew	andrew	PROPN
ap-4608	89	15	,	,	PUNCT
ap-4608	89	16	gautam	gautam	PROPN
ap-4608	89	17	acta	acta	PROPN
ap-4608	89	18	polytechnica	polytechnica	PROPN
ap-4608	89	19	50	50	NUM
ap-4608	89	20	60	60	NUM
ap-4608	89	21	70	70	NUM
ap-4608	89	22	80	80	NUM
ap-4608	89	23	90	90	NUM
ap-4608	89	24	100	100	NUM
ap-4608	89	25	time	time	NOUN
ap-4608	89	26	(	(	PUNCT
ap-4608	89	27	ns	ns	NUM
ap-4608	89	28	)	)	PUNCT
ap-4608	89	29	0	0	NUM
ap-4608	89	30	500	500	NUM
ap-4608	89	31	1000	1000	NUM
ap-4608	89	32	1500	1500	NUM
ap-4608	89	33	2000	2000	NUM
ap-4608	89	34	2500	2500	NUM
ap-4608	90	1	d	d	NOUN
ap-4608	90	2	i	i	PRON
ap-4608	90	3	m	m	VERB
ap-4608	90	4	en	en	ADP
ap-4608	90	5	si	si	X
ap-4608	90	6	on	on	ADP
ap-4608	90	7	le	le	X
ap-4608	90	8	ss	ss	NOUN
ap-4608	90	9	e	e	X
ap-4608	90	10	le	le	X
ap-4608	90	11	ct	ct	PROPN
ap-4608	90	12	ric	ric	PROPN
ap-4608	90	13	-f	-f	INTJ
ap-4608	90	14	ie	ie	X
ap-4608	90	15	ld	ld	PROPN
ap-4608	90	16	in	in	ADP
ap-4608	90	17	te	te	PROPN
ap-4608	90	18	ns	ns	NUM
ap-4608	90	19	ity	ity	NOUN
ap-4608	90	20	=	=	SYM
ap-4608	90	21	0.06	0.06	NUM
ap-4608	90	22	=	=	SYM
ap-4608	90	23	0.07	0.07	NUM
ap-4608	90	24	=	=	SYM
ap-4608	90	25	0.08	0.08	NUM
ap-4608	90	26	laser	laser	NOUN
ap-4608	90	27	differential	differential	NOUN
ap-4608	90	28	gain	gain	VERB
ap-4608	90	29	50	50	NUM
ap-4608	90	30	60	60	NUM
ap-4608	90	31	70	70	NUM
ap-4608	90	32	80	80	NUM
ap-4608	90	33	90	90	NUM
ap-4608	90	34	100	100	NUM
ap-4608	90	35	time	time	NOUN
ap-4608	90	36	(	(	PUNCT
ap-4608	90	37	ns	ns	NUM
ap-4608	90	38	)	)	PUNCT
ap-4608	90	39	0	0	NUM
ap-4608	91	1	1	1	NUM
ap-4608	91	2	2	2	NUM
ap-4608	91	3	3	3	NUM
ap-4608	91	4	4	4	NUM
ap-4608	91	5	5	5	NUM
ap-4608	91	6	6	6	NUM
ap-4608	91	7	7	7	NUM
ap-4608	91	8	d	d	PROPN
ap-4608	91	9	i	i	PRON
ap-4608	91	10	m	m	VERB
ap-4608	91	11	en	en	ADP
ap-4608	91	12	si	si	X
ap-4608	91	13	on	on	ADP
ap-4608	91	14	le	le	X
ap-4608	91	15	ss	ss	NOUN
ap-4608	91	16	e	e	X
ap-4608	91	17	le	le	X
ap-4608	91	18	ct	ct	PROPN
ap-4608	91	19	ric	ric	PROPN
ap-4608	91	20	-f	-f	INTJ
ap-4608	91	21	ie	ie	X
ap-4608	91	22	ld	ld	PROPN
ap-4608	91	23	in	in	ADP
ap-4608	91	24	te	te	PROPN
ap-4608	91	25	ns	ns	NUM
ap-4608	91	26	ity	ity	PROPN
ap-4608	91	27	104	104	NUM
ap-4608	91	28	p=0.08	p=0.08	PROPN
ap-4608	91	29	p=0.07	p=0.07	ADJ
ap-4608	91	30	p=0.09	p=0.09	NOUN
ap-4608	91	31	laser	laser	NOUN
ap-4608	91	32	pump	pump	VERB
ap-4608	91	33	above	above	ADP
ap-4608	91	34	threshold	threshold	NOUN
ap-4608	91	35	figure	figure	NOUN
ap-4608	91	36	3	3	NUM
ap-4608	91	37	.	.	PUNCT
ap-4608	91	38	rise	rise	NOUN
ap-4608	91	39	of	of	ADP
ap-4608	91	40	the	the	DET
ap-4608	91	41	intracavity	intracavity	NOUN
ap-4608	91	42	electric	electric	ADJ
ap-4608	91	43	field	field	NOUN
ap-4608	91	44	e(t	e(t	NOUN
ap-4608	91	45	)	)	PUNCT
ap-4608	91	46	when	when	SCONJ
ap-4608	91	47	the	the	DET
ap-4608	91	48	carrier	carrier	NOUN
ap-4608	91	49	inversion	inversion	NOUN
ap-4608	91	50	is	be	AUX
ap-4608	91	51	adiabatically	adiabatically	ADV
ap-4608	91	52	eliminated	eliminate	VERB
ap-4608	91	53	.	.	PUNCT
ap-4608	92	1	the	the	DET
ap-4608	92	2	left	left	ADJ
ap-4608	92	3	-	-	PUNCT
ap-4608	92	4	hand	hand	NOUN
ap-4608	92	5	panel	panel	NOUN
ap-4608	92	6	shows	show	VERB
ap-4608	92	7	that	that	SCONJ
ap-4608	92	8	for	for	ADP
ap-4608	92	9	a	a	DET
ap-4608	92	10	fixed	fixed	ADJ
ap-4608	92	11	ζ	ζ	NOUN
ap-4608	92	12	=	=	NOUN
ap-4608	92	13	0.1	0.1	NUM
ap-4608	92	14	,	,	PUNCT
ap-4608	92	15	as	as	SCONJ
ap-4608	92	16	the	the	DET
ap-4608	92	17	pump	pump	NOUN
ap-4608	92	18	current	current	NOUN
ap-4608	92	19	is	be	AUX
ap-4608	92	20	reduced	reduce	VERB
ap-4608	92	21	,	,	PUNCT
ap-4608	92	22	the	the	DET
ap-4608	92	23	exponential	exponential	ADJ
ap-4608	92	24	growth	growth	NOUN
ap-4608	92	25	of	of	ADP
ap-4608	92	26	intensity	intensity	NOUN
ap-4608	92	27	slows	slow	VERB
ap-4608	92	28	down	down	ADP
ap-4608	92	29	.	.	PUNCT
ap-4608	93	1	the	the	DET
ap-4608	93	2	right	right	ADJ
ap-4608	93	3	-	-	PUNCT
ap-4608	93	4	hand	hand	NOUN
ap-4608	93	5	panel	panel	NOUN
ap-4608	93	6	shows	show	VERB
ap-4608	93	7	that	that	SCONJ
ap-4608	93	8	for	for	ADP
ap-4608	93	9	a	a	DET
ap-4608	93	10	fixed	fix	VERB
ap-4608	93	11	pumping	pump	VERB
ap-4608	93	12	p	p	NOUN
ap-4608	93	13	=	=	NOUN
ap-4608	93	14	0.08	0.08	NUM
ap-4608	93	15	,	,	PUNCT
ap-4608	93	16	as	as	SCONJ
ap-4608	93	17	ζ	ζ	NOUN
ap-4608	93	18	is	be	AUX
ap-4608	93	19	reduced	reduce	VERB
ap-4608	93	20	,	,	PUNCT
ap-4608	93	21	the	the	DET
ap-4608	93	22	time	time	NOUN
ap-4608	93	23	window	window	NOUN
ap-4608	93	24	during	during	ADP
ap-4608	93	25	which	which	PRON
ap-4608	93	26	the	the	DET
ap-4608	93	27	gain	gain	NOUN
ap-4608	93	28	-	-	PUNCT
ap-4608	93	29	nonlinearity	nonlinearity	NOUN
ap-4608	93	30	can	can	AUX
ap-4608	93	31	be	be	AUX
ap-4608	93	32	ignored	ignore	VERB
ap-4608	93	33	is	be	AUX
ap-4608	93	34	widened	widen	VERB
ap-4608	93	35	.	.	PUNCT
ap-4608	94	1	in	in	ADP
ap-4608	94	2	both	both	DET
ap-4608	94	3	cases	case	NOUN
ap-4608	94	4	,	,	PUNCT
ap-4608	94	5	the	the	DET
ap-4608	94	6	calculations	calculation	NOUN
ap-4608	94	7	are	be	AUX
ap-4608	94	8	carried	carry	VERB
ap-4608	94	9	out	out	ADP
ap-4608	94	10	using	use	VERB
ap-4608	94	11	typical	typical	ADJ
ap-4608	94	12	semiconductor	semiconductor	NOUN
ap-4608	94	13	laser	laser	NOUN
ap-4608	94	14	parameters	parameter	NOUN
ap-4608	94	15	,	,	PUNCT
ap-4608	94	16	α	α	NOUN
ap-4608	94	17	=	=	SYM
ap-4608	94	18	3	3	X
ap-4608	94	19	.	.	X
ap-4608	94	20	note	note	VERB
ap-4608	94	21	that	that	SCONJ
ap-4608	94	22	the	the	DET
ap-4608	94	23	time	time	NOUN
ap-4608	94	24	axis	axis	NOUN
ap-4608	94	25	only	only	ADV
ap-4608	94	26	contains	contain	VERB
ap-4608	94	27	time	time	NOUN
ap-4608	94	28	window	window	NOUN
ap-4608	94	29	after	after	SCONJ
ap-4608	94	30	the	the	DET
ap-4608	94	31	carrier	carrier	NOUN
ap-4608	94	32	inversion	inversion	NOUN
ap-4608	94	33	has	have	AUX
ap-4608	94	34	reached	reach	VERB
ap-4608	94	35	steady	steady	ADJ
ap-4608	94	36	-	-	PUNCT
ap-4608	94	37	state	state	NOUN
ap-4608	94	38	value	value	NOUN
ap-4608	94	39	.	.	PUNCT
ap-4608	95	1	manifestly	manifestly	ADV
ap-4608	95	2	complex	complex	ADJ
ap-4608	95	3	a	a	DET
ap-4608	95	4	=	=	X
ap-4608	95	5	(	(	PUNCT
ap-4608	95	6	1	1	NUM
ap-4608	95	7	+	+	NUM
ap-4608	95	8	iα)ζn0	iα)ζn0	NOUN
ap-4608	95	9	and	and	CCONJ
ap-4608	95	10	a	a	DET
ap-4608	95	11	purely	purely	ADV
ap-4608	95	12	real	real	ADJ
ap-4608	95	13	,	,	PUNCT
ap-4608	95	14	positive	positive	ADJ
ap-4608	95	15	b	b	NOUN
ap-4608	95	16	=	=	SYM
ap-4608	95	17	κ	κ	NOUN
ap-4608	95	18	.	.	PUNCT
ap-4608	96	1	thus	thus	ADV
ap-4608	96	2	,	,	PUNCT
ap-4608	96	3	within	within	ADP
ap-4608	96	4	the	the	DET
ap-4608	96	5	appropriate	appropriate	ADJ
ap-4608	96	6	timewindow	timewindow	NOUN
ap-4608	96	7	,	,	PUNCT
ap-4608	96	8	the	the	DET
ap-4608	96	9	electric	electric	ADJ
ap-4608	96	10	field	field	NOUN
ap-4608	96	11	exponents	exponent	NOUN
ap-4608	96	12	are	be	AUX
ap-4608	96	13	determined	determine	VERB
ap-4608	96	14	by	by	ADP
ap-4608	96	15	the	the	DET
ap-4608	96	16	properties	property	NOUN
ap-4608	96	17	of	of	ADP
ap-4608	96	18	lambert	lambert	PROPN
ap-4608	96	19	w	w	PROPN
ap-4608	96	20	-function	-function	PROPN
ap-4608	96	21	.	.	PUNCT
ap-4608	97	1	4	4	X
ap-4608	97	2	.	.	X
ap-4608	97	3	bidirectionally	bidirectionally	ADV
ap-4608	97	4	coupled	couple	VERB
ap-4608	97	5	lasers	laser	NOUN
ap-4608	97	6	another	another	DET
ap-4608	97	7	interesting	interesting	ADJ
ap-4608	97	8	situation	situation	NOUN
ap-4608	97	9	in	in	ADP
ap-4608	97	10	which	which	PRON
ap-4608	97	11	the	the	DET
ap-4608	97	12	lambert	lambert	NOUN
ap-4608	97	13	formalism	formalism	NOUN
ap-4608	97	14	can	can	AUX
ap-4608	97	15	be	be	AUX
ap-4608	97	16	invoked	invoke	VERB
ap-4608	97	17	is	be	AUX
ap-4608	97	18	when	when	SCONJ
ap-4608	97	19	two	two	NUM
ap-4608	97	20	identical	identical	ADJ
ap-4608	97	21	semiconductor	semiconductor	NOUN
ap-4608	97	22	lasers	laser	NOUN
ap-4608	97	23	,	,	PUNCT
ap-4608	97	24	at	at	ADP
ap-4608	97	25	optical	optical	ADJ
ap-4608	97	26	frequencies	frequency	NOUN
ap-4608	97	27	ω1	ω1	PROPN
ap-4608	97	28	and	and	CCONJ
ap-4608	97	29	ω2	ω2	NOUN
ap-4608	97	30	are	be	AUX
ap-4608	97	31	mutually	mutually	ADV
ap-4608	97	32	coupled	couple	VERB
ap-4608	97	33	to	to	ADP
ap-4608	97	34	each	each	DET
ap-4608	97	35	other	other	ADJ
ap-4608	97	36	.	.	PUNCT
ap-4608	98	1	such	such	ADJ
ap-4608	98	2	systems	system	NOUN
ap-4608	98	3	have	have	AUX
ap-4608	98	4	been	be	AUX
ap-4608	98	5	extensively	extensively	ADV
ap-4608	98	6	studied	study	VERB
ap-4608	98	7	in	in	ADP
ap-4608	98	8	the	the	DET
ap-4608	98	9	context	context	NOUN
ap-4608	98	10	of	of	ADP
ap-4608	98	11	their	their	PRON
ap-4608	98	12	nonlinear	nonlinear	ADJ
ap-4608	98	13	dynamics	dynamic	NOUN
ap-4608	98	14	[	[	X
ap-4608	98	15	10	10	NUM
ap-4608	98	16	]	]	PUNCT
ap-4608	98	17	.	.	PUNCT
ap-4608	99	1	the	the	DET
ap-4608	99	2	four	four	NUM
ap-4608	99	3	rate	rate	NOUN
ap-4608	99	4	equations	equation	NOUN
ap-4608	99	5	for	for	ADP
ap-4608	99	6	such	such	DET
ap-4608	99	7	a	a	DET
ap-4608	99	8	system	system	NOUN
ap-4608	99	9	,	,	PUNCT
ap-4608	99	10	two	two	NUM
ap-4608	99	11	for	for	ADP
ap-4608	99	12	the	the	DET
ap-4608	99	13	intracavity	intracavity	NOUN
ap-4608	99	14	electric	electric	ADJ
ap-4608	99	15	fields	field	NOUN
ap-4608	99	16	and	and	CCONJ
ap-4608	99	17	two	two	NUM
ap-4608	99	18	for	for	ADP
ap-4608	99	19	the	the	DET
ap-4608	99	20	corresponding	corresponding	ADJ
ap-4608	99	21	excess	excess	ADJ
ap-4608	99	22	carrier	carrier	NOUN
ap-4608	99	23	inversions	inversion	NOUN
ap-4608	99	24	,	,	PUNCT
ap-4608	99	25	are	be	AUX
ap-4608	99	26	given	give	VERB
ap-4608	99	27	by	by	ADP
ap-4608	99	28	a	a	DET
ap-4608	99	29	modified	modify	VERB
ap-4608	99	30	form	form	NOUN
ap-4608	99	31	of	of	ADP
ap-4608	99	32	the	the	DET
ap-4608	99	33	lang	lang	PROPN
ap-4608	99	34	-	-	PUNCT
ap-4608	99	35	kobayashi	kobayashi	PROPN
ap-4608	99	36	equations	equation	NOUN
ap-4608	99	37	wherein	wherein	SCONJ
ap-4608	99	38	the	the	DET
ap-4608	99	39	bidirectional	bidirectional	ADJ
ap-4608	99	40	coupling	coupling	NOUN
ap-4608	99	41	is	be	AUX
ap-4608	99	42	accounted	account	VERB
ap-4608	99	43	for	for	ADP
ap-4608	99	44	,	,	PUNCT
ap-4608	99	45	i.e.	i.e.	X
ap-4608	99	46	,	,	PUNCT
ap-4608	99	47	de1(t	de1(t	NUM
ap-4608	99	48	)	)	PUNCT
ap-4608	99	49	dt	dt	NOUN
ap-4608	100	1	=	=	PUNCT
ap-4608	100	2	(	(	PUNCT
ap-4608	100	3	1	1	NUM
ap-4608	100	4	+	+	CCONJ
ap-4608	100	5	iα)ζn1(t)e1(t	iα)ζn1(t)e1(t	ADJ
ap-4608	100	6	)	)	PUNCT
ap-4608	101	1	+	+	CCONJ
ap-4608	102	1	i∆ωe1(t	i∆ωe1(t	PROPN
ap-4608	102	2	)	)	PUNCT
ap-4608	102	3	+	+	CCONJ
ap-4608	102	4	κe−iθτe2(t−	κe−iθτe2(t−	PROPN
ap-4608	102	5	τ	τ	PROPN
ap-4608	102	6	)	)	PUNCT
ap-4608	102	7	,	,	PUNCT
ap-4608	102	8	(	(	PUNCT
ap-4608	102	9	7	7	X
ap-4608	102	10	)	)	PUNCT
ap-4608	102	11	de2(t	de2(t	PROPN
ap-4608	102	12	)	)	PUNCT
ap-4608	102	13	dt	dt	NOUN
ap-4608	103	1	=	=	PUNCT
ap-4608	103	2	(	(	PUNCT
ap-4608	103	3	1	1	NUM
ap-4608	103	4	+	+	NUM
ap-4608	103	5	iα)ζn2(t)e2(t	iα)ζn2(t)e2(t	PROPN
ap-4608	103	6	)	)	PUNCT
ap-4608	104	1	−	−	PROPN
ap-4608	105	1	i∆ωe2(t	i∆ωe2(t	PROPN
ap-4608	105	2	)	)	PUNCT
ap-4608	106	1	+	+	CCONJ
ap-4608	106	2	κe−iθτe1(t−	κe−iθτe1(t−	PROPN
ap-4608	106	3	τ	τ	PROPN
ap-4608	106	4	)	)	PUNCT
ap-4608	106	5	,	,	PUNCT
ap-4608	106	6	(	(	PUNCT
ap-4608	106	7	8)	8)	NUM
ap-4608	106	8	t	t	NOUN
ap-4608	106	9	dn1(t	dn1(t	PROPN
ap-4608	106	10	)	)	PUNCT
ap-4608	106	11	dt	dt	PART
ap-4608	107	1	=	=	PROPN
ap-4608	107	2	j1	j1	PROPN
ap-4608	107	3	−n1(t	−n1(t	PROPN
ap-4608	107	4	)	)	PUNCT
ap-4608	108	1	−	−	PROPN
ap-4608	108	2	(	(	PUNCT
ap-4608	108	3	1	1	NUM
ap-4608	108	4	+	+	NUM
ap-4608	108	5	2n1(t))|e1(t)|2	2n1(t))|e1(t)|2	NUM
ap-4608	108	6	,	,	PUNCT
ap-4608	108	7	(	(	PUNCT
ap-4608	108	8	9	9	NUM
ap-4608	108	9	)	)	PUNCT
ap-4608	108	10	t	t	NOUN
ap-4608	108	11	dn2(t	dn2(t	PROPN
ap-4608	108	12	)	)	PUNCT
ap-4608	108	13	dt	dt	PART
ap-4608	109	1	=	=	SYM
ap-4608	109	2	j2	j2	PROPN
ap-4608	109	3	−n2(t	−n2(t	PROPN
ap-4608	109	4	)	)	PUNCT
ap-4608	109	5	−	−	PROPN
ap-4608	110	1	(	(	PUNCT
ap-4608	110	2	1	1	NUM
ap-4608	110	3	+	+	SYM
ap-4608	110	4	2n2(t))|e2(t)|2	2n2(t))|e2(t)|2	NUM
ap-4608	110	5	.	.	PUNCT
ap-4608	111	1	(	(	PUNCT
ap-4608	111	2	10	10	NUM
ap-4608	111	3	)	)	PUNCT
ap-4608	111	4	here	here	ADV
ap-4608	111	5	the	the	DET
ap-4608	111	6	subscripts	subscript	NOUN
ap-4608	111	7	1	1	NUM
ap-4608	111	8	,	,	PUNCT
ap-4608	111	9	2	2	NUM
ap-4608	111	10	denote	denote	NOUN
ap-4608	111	11	laser	laser	NOUN
ap-4608	111	12	index	index	NOUN
ap-4608	111	13	,	,	PUNCT
ap-4608	111	14	and	and	CCONJ
ap-4608	111	15	these	these	DET
ap-4608	111	16	equations	equation	NOUN
ap-4608	111	17	are	be	AUX
ap-4608	111	18	written	write	VERB
ap-4608	111	19	in	in	ADP
ap-4608	111	20	a	a	DET
ap-4608	111	21	frame	frame	NOUN
ap-4608	111	22	rotating	rotate	VERB
ap-4608	111	23	at	at	ADP
ap-4608	111	24	a	a	DET
ap-4608	111	25	frequency	frequency	NOUN
ap-4608	111	26	that	that	PRON
ap-4608	111	27	is	be	AUX
ap-4608	111	28	the	the	DET
ap-4608	111	29	average	average	NOUN
ap-4608	111	30	of	of	ADP
ap-4608	111	31	the	the	DET
ap-4608	111	32	two	two	NUM
ap-4608	111	33	laser	laser	NOUN
ap-4608	111	34	frequencies	frequency	NOUN
ap-4608	111	35	,	,	PUNCT
ap-4608	111	36	θ	θ	X
ap-4608	111	37	=	=	SYM
ap-4608	111	38	(	(	PUNCT
ap-4608	111	39	ω1	ω1	PROPN
ap-4608	111	40	+	+	CCONJ
ap-4608	111	41	ω2)/2	ω2)/2	NOUN
ap-4608	111	42	,	,	PUNCT
ap-4608	111	43	so	so	SCONJ
ap-4608	111	44	that	that	SCONJ
ap-4608	111	45	each	each	DET
ap-4608	111	46	laser	laser	NOUN
ap-4608	111	47	is	be	AUX
ap-4608	111	48	detuned	detune	VERB
ap-4608	111	49	by	by	ADP
ap-4608	111	50	an	an	DET
ap-4608	111	51	equal	equal	ADJ
ap-4608	111	52	amount	amount	NOUN
ap-4608	112	1	±∆ω	±∆ω	X
ap-4608	112	2	=	=	PUNCT
ap-4608	112	3	±(ω1	±(ω1	NOUN
ap-4608	112	4	−	−	NOUN
ap-4608	112	5	ω2)/2	ω2)/2	NOUN
ap-4608	112	6	.	.	PUNCT
ap-4608	113	1	κ	κ	PROPN
ap-4608	113	2	is	be	AUX
ap-4608	113	3	the	the	DET
ap-4608	113	4	coupling	coupling	NOUN
ap-4608	113	5	coefficient	coefficient	NOUN
ap-4608	113	6	between	between	ADP
ap-4608	113	7	the	the	DET
ap-4608	113	8	two	two	NUM
ap-4608	113	9	lasers	laser	NOUN
ap-4608	113	10	,	,	PUNCT
ap-4608	113	11	τ	τ	PROPN
ap-4608	113	12	is	be	AUX
ap-4608	113	13	the	the	DET
ap-4608	113	14	time	time	NOUN
ap-4608	113	15	-	-	PUNCT
ap-4608	113	16	delay	delay	NOUN
ap-4608	113	17	in	in	ADP
ap-4608	113	18	the	the	DET
ap-4608	113	19	coupling	coupling	NOUN
ap-4608	113	20	that	that	PRON
ap-4608	113	21	depends	depend	VERB
ap-4608	113	22	on	on	ADP
ap-4608	113	23	the	the	DET
ap-4608	113	24	physical	physical	ADJ
ap-4608	113	25	separation	separation	NOUN
ap-4608	113	26	between	between	ADP
ap-4608	113	27	the	the	DET
ap-4608	113	28	two	two	NUM
ap-4608	113	29	lasers	laser	NOUN
ap-4608	113	30	,	,	PUNCT
ap-4608	113	31	e−iθτ	e−iθτ	PROPN
ap-4608	113	32	is	be	AUX
ap-4608	113	33	the	the	DET
ap-4608	113	34	phase	phase	NOUN
ap-4608	113	35	accumulation	accumulation	NOUN
ap-4608	113	36	due	due	ADP
ap-4608	113	37	to	to	ADP
ap-4608	113	38	light	light	NOUN
ap-4608	113	39	propagating	propagate	VERB
ap-4608	113	40	from	from	ADP
ap-4608	113	41	one	one	NUM
ap-4608	113	42	laser	laser	NOUN
ap-4608	113	43	to	to	ADP
ap-4608	113	44	the	the	DET
ap-4608	113	45	other	other	ADJ
ap-4608	113	46	,	,	PUNCT
ap-4608	113	47	and	and	CCONJ
ap-4608	113	48	j1,2	j1,2	PROPN
ap-4608	113	49	are	be	AUX
ap-4608	113	50	the	the	DET
ap-4608	113	51	injection	injection	NOUN
ap-4608	113	52	currents	current	NOUN
ap-4608	113	53	above	above	ADP
ap-4608	113	54	threshold	threshold	NOUN
ap-4608	113	55	for	for	ADP
ap-4608	113	56	each	each	DET
ap-4608	113	57	laser	laser	NOUN
ap-4608	113	58	.	.	PUNCT
ap-4608	114	1	if	if	SCONJ
ap-4608	114	2	these	these	DET
ap-4608	114	3	four	four	NUM
ap-4608	114	4	coupled	couple	VERB
ap-4608	114	5	equations	equation	NOUN
ap-4608	114	6	can	can	AUX
ap-4608	114	7	be	be	AUX
ap-4608	114	8	reduced	reduce	VERB
ap-4608	114	9	to	to	ADP
ap-4608	114	10	two	two	NUM
ap-4608	114	11	by	by	ADP
ap-4608	114	12	eliminating	eliminate	VERB
ap-4608	114	13	the	the	DET
ap-4608	114	14	carrier	carrier	NOUN
ap-4608	114	15	inversion	inversion	NOUN
ap-4608	114	16	equations	equation	NOUN
ap-4608	114	17	as	as	SCONJ
ap-4608	114	18	discussed	discuss	VERB
ap-4608	114	19	for	for	ADP
ap-4608	114	20	the	the	DET
ap-4608	114	21	single	single	ADJ
ap-4608	114	22	laser	laser	NOUN
ap-4608	114	23	with	with	ADP
ap-4608	114	24	feedback	feedback	NOUN
ap-4608	114	25	,	,	PUNCT
ap-4608	114	26	one	one	PRON
ap-4608	114	27	is	be	AUX
ap-4608	114	28	left	leave	VERB
ap-4608	114	29	with	with	ADP
ap-4608	114	30	two	two	NUM
ap-4608	114	31	coupled	couple	VERB
ap-4608	114	32	,	,	PUNCT
ap-4608	114	33	time	time	NOUN
ap-4608	114	34	-	-	PUNCT
ap-4608	114	35	delayed	delay	VERB
ap-4608	114	36	rate	rate	NOUN
ap-4608	114	37	equations	equation	NOUN
ap-4608	114	38	for	for	ADP
ap-4608	114	39	the	the	DET
ap-4608	114	40	intracavity	intracavity	NOUN
ap-4608	114	41	fields	field	NOUN
ap-4608	114	42	e(t	e(t	VERB
ap-4608	114	43	)	)	PUNCT
ap-4608	114	44	=	=	PUNCT
ap-4608	115	1	[	[	X
ap-4608	115	2	e1(t	e1(t	NUM
ap-4608	115	3	)	)	PUNCT
ap-4608	115	4	,	,	PUNCT
ap-4608	115	5	e2(t)]t	e2(t)]t	VERB
ap-4608	115	6	,	,	PUNCT
ap-4608	116	1	d	d	X
ap-4608	116	2	dte(t	dte(t	PROPN
ap-4608	116	3	)	)	PUNCT
ap-4608	116	4	=	=	SYM
ap-4608	116	5	m	m	PROPN
ap-4608	116	6	(	(	PUNCT
ap-4608	116	7	d	d	X
ap-4608	116	8	dt	dt	NOUN
ap-4608	116	9	)	)	PUNCT
ap-4608	116	10	e(t	e(t	PROPN
ap-4608	116	11	)	)	PUNCT
ap-4608	116	12	(	(	PUNCT
ap-4608	116	13	11	11	NUM
ap-4608	116	14	)	)	PUNCT
ap-4608	116	15	where	where	SCONJ
ap-4608	116	16	the	the	DET
ap-4608	116	17	2×	2×	NUM
ap-4608	116	18	2	2	NUM
ap-4608	116	19	non	non	ADJ
ap-4608	116	20	-	-	ADJ
ap-4608	116	21	hermitian	hermitian	ADJ
ap-4608	116	22	,	,	PUNCT
ap-4608	116	23	time	time	NOUN
ap-4608	116	24	-	-	PUNCT
ap-4608	116	25	delay	delay	NOUN
ap-4608	116	26	operator	operator	NOUN
ap-4608	116	27	m	m	VERB
ap-4608	116	28	is	be	AUX
ap-4608	116	29	given	give	VERB
ap-4608	116	30	by	by	ADP
ap-4608	116	31	m=	m=	X
ap-4608	117	1	[	[	PUNCT
ap-4608	117	2	(	(	PUNCT
ap-4608	117	3	1	1	NUM
ap-4608	117	4	+	+	NUM
ap-4608	117	5	iα)ζn10	iα)ζn10	NOUN
ap-4608	118	1	+	+	CCONJ
ap-4608	118	2	i∆ω	i∆ω	ADJ
ap-4608	118	3	κe−iθτe−τ∂t	κe−iθτe−τ∂t	PROPN
ap-4608	118	4	κe−iθτe−τ∂t	κe−iθτe−τ∂t	PROPN
ap-4608	118	5	(	(	PUNCT
ap-4608	118	6	1	1	NUM
ap-4608	118	7	+	+	NUM
ap-4608	118	8	iα)ζn20	iα)ζn20	NUM
ap-4608	118	9	−	−	NOUN
ap-4608	118	10	i∆ω	i∆ω	NOUN
ap-4608	118	11	]	]	X
ap-4608	118	12	(	(	PUNCT
ap-4608	118	13	12	12	NUM
ap-4608	118	14	)	)	PUNCT
ap-4608	118	15	and	and	CCONJ
ap-4608	118	16	n10	n10	PROPN
ap-4608	118	17	and	and	CCONJ
ap-4608	118	18	n20	n20	NOUN
ap-4608	118	19	are	be	AUX
ap-4608	118	20	the	the	DET
ap-4608	118	21	steady	steady	ADJ
ap-4608	118	22	-	-	PUNCT
ap-4608	118	23	state	state	NOUN
ap-4608	118	24	carrier	carrier	NOUN
ap-4608	118	25	inversions	inversion	NOUN
ap-4608	118	26	.	.	PUNCT
ap-4608	119	1	equations	equation	NOUN
ap-4608	119	2	(	(	PUNCT
ap-4608	119	3	11	11	NUM
ap-4608	119	4	)	)	PUNCT
ap-4608	119	5	and	and	CCONJ
ap-4608	119	6	(	(	PUNCT
ap-4608	119	7	12	12	NUM
ap-4608	119	8	)	)	PUNCT
ap-4608	119	9	are	be	AUX
ap-4608	119	10	also	also	ADV
ap-4608	119	11	amenable	amenable	ADJ
ap-4608	119	12	to	to	ADP
ap-4608	119	13	analytic	analytic	ADJ
ap-4608	119	14	solution	solution	NOUN
ap-4608	119	15	via	via	ADP
ap-4608	119	16	the	the	DET
ap-4608	119	17	lambert	lambert	PROPN
ap-4608	119	18	w	w	PROPN
ap-4608	119	19	equation	equation	NOUN
ap-4608	119	20	formalism	formalism	NOUN
ap-4608	119	21	.	.	PUNCT
ap-4608	120	1	an	an	DET
ap-4608	120	2	experimental	experimental	ADJ
ap-4608	120	3	study	study	NOUN
ap-4608	120	4	of	of	ADP
ap-4608	120	5	the	the	DET
ap-4608	120	6	bidirectionally	bidirectionally	ADV
ap-4608	120	7	coupled	couple	VERB
ap-4608	120	8	lasers	laser	NOUN
ap-4608	120	9	,	,	PUNCT
ap-4608	120	10	and	and	CCONJ
ap-4608	120	11	a	a	DET
ap-4608	120	12	detailed	detailed	ADJ
ap-4608	120	13	comparison	comparison	NOUN
ap-4608	120	14	between	between	ADP
ap-4608	120	15	the	the	DET
ap-4608	120	16	predictions	prediction	NOUN
ap-4608	120	17	of	of	ADP
ap-4608	120	18	the	the	DET
ap-4608	120	19	lambert	lambert	PROPN
ap-4608	120	20	function	function	NOUN
ap-4608	120	21	solution	solution	NOUN
ap-4608	120	22	and	and	CCONJ
ap-4608	120	23	numerical	numerical	ADJ
ap-4608	120	24	solutions	solution	NOUN
ap-4608	120	25	of	of	ADP
ap-4608	120	26	the	the	DET
ap-4608	120	27	full	full	PROPN
ap-4608	120	28	lang	lang	PROPN
ap-4608	120	29	–	–	PUNCT
ap-4608	120	30	kobayashi	kobayashi	PROPN
ap-4608	120	31	equations	equation	NOUN
ap-4608	120	32	will	will	AUX
ap-4608	120	33	be	be	AUX
ap-4608	120	34	reported	report	VERB
ap-4608	120	35	elsewhere	elsewhere	ADV
ap-4608	120	36	.	.	PUNCT
ap-4608	121	1	in	in	ADP
ap-4608	121	2	summary	summary	NOUN
ap-4608	121	3	,	,	PUNCT
ap-4608	121	4	we	we	PRON
ap-4608	121	5	have	have	AUX
ap-4608	121	6	shown	show	VERB
ap-4608	121	7	that	that	SCONJ
ap-4608	121	8	the	the	DET
ap-4608	121	9	lambert	lambert	PROPN
ap-4608	121	10	w	w	PROPN
ap-4608	121	11	function	function	PROPN
ap-4608	121	12	provides	provide	VERB
ap-4608	121	13	an	an	DET
ap-4608	121	14	hitherto	hitherto	NOUN
ap-4608	121	15	unexplored	unexplored	ADJ
ap-4608	121	16	,	,	PUNCT
ap-4608	121	17	analytic	analytic	ADJ
ap-4608	121	18	method	method	NOUN
ap-4608	121	19	for	for	ADP
ap-4608	121	20	studying	study	VERB
ap-4608	121	21	the	the	DET
ap-4608	121	22	intensity	intensity	NOUN
ap-4608	121	23	dynamics	dynamic	NOUN
ap-4608	121	24	of	of	ADP
ap-4608	121	25	a	a	DET
ap-4608	121	26	semiconductor	semiconductor	NOUN
ap-4608	121	27	laser	laser	NOUN
ap-4608	121	28	with	with	ADP
ap-4608	121	29	time	time	NOUN
ap-4608	121	30	-	-	PUNCT
ap-4608	121	31	delayed	delay	VERB
ap-4608	121	32	optical	optical	ADJ
ap-4608	121	33	feedback	feedback	NOUN
ap-4608	121	34	.	.	PUNCT
ap-4608	122	1	the	the	DET
ap-4608	122	2	formalism	formalism	NOUN
ap-4608	122	3	is	be	AUX
ap-4608	122	4	valid	valid	ADJ
ap-4608	122	5	in	in	ADP
ap-4608	122	6	a	a	DET
ap-4608	122	7	regime	regime	NOUN
ap-4608	122	8	where	where	SCONJ
ap-4608	122	9	the	the	DET
ap-4608	122	10	two	two	NUM
ap-4608	122	11	rate	rate	NOUN
ap-4608	122	12	equations	equation	NOUN
ap-4608	122	13	given	give	VERB
ap-4608	122	14	by	by	ADP
ap-4608	122	15	the	the	DET
ap-4608	122	16	lang	lang	PROPN
ap-4608	122	17	–	–	PUNCT
ap-4608	122	18	kobayashi	kobayashi	PROPN
ap-4608	122	19	model	model	NOUN
ap-4608	122	20	are	be	AUX
ap-4608	122	21	reduced	reduce	VERB
ap-4608	122	22	to	to	ADP
ap-4608	122	23	a	a	DET
ap-4608	122	24	single	single	ADJ
ap-4608	122	25	,	,	PUNCT
ap-4608	122	26	time	time	NOUN
ap-4608	122	27	-	-	PUNCT
ap-4608	122	28	delayed	delay	VERB
ap-4608	122	29	rate	rate	NOUN
ap-4608	122	30	equation	equation	NOUN
ap-4608	122	31	for	for	ADP
ap-4608	122	32	the	the	DET
ap-4608	122	33	intracavity	intracavity	NOUN
ap-4608	122	34	electric	electric	ADJ
ap-4608	122	35	field	field	NOUN
ap-4608	122	36	.	.	PUNCT
ap-4608	123	1	the	the	DET
ap-4608	123	2	lambert	lambert	PROPN
ap-4608	123	3	function	function	NOUN
ap-4608	123	4	can	can	AUX
ap-4608	123	5	be	be	AUX
ap-4608	123	6	invoked	invoke	VERB
ap-4608	123	7	when	when	SCONJ
ap-4608	123	8	the	the	DET
ap-4608	123	9	nonlinearities	nonlinearitie	NOUN
ap-4608	123	10	that	that	PRON
ap-4608	123	11	arise	arise	VERB
ap-4608	123	12	from	from	ADP
ap-4608	123	13	gain	gain	NOUN
ap-4608	123	14	saturation	saturation	NOUN
ap-4608	123	15	are	be	AUX
ap-4608	123	16	neglected	neglect	VERB
ap-4608	123	17	,	,	PUNCT
ap-4608	123	18	which	which	PRON
ap-4608	123	19	implies	imply	VERB
ap-4608	123	20	that	that	SCONJ
ap-4608	123	21	the	the	DET
ap-4608	123	22	analytic	analytic	ADJ
ap-4608	123	23	results	result	NOUN
ap-4608	123	24	are	be	AUX
ap-4608	123	25	valid	valid	ADJ
ap-4608	123	26	at	at	ADP
ap-4608	123	27	short	short	ADJ
ap-4608	123	28	times	time	NOUN
ap-4608	123	29	after	after	ADP
ap-4608	123	30	the	the	DET
ap-4608	123	31	laser	laser	NOUN
ap-4608	123	32	402	402	NUM
ap-4608	123	33	vol	vol	NOUN
ap-4608	123	34	.	.	PUNCT
ap-4608	124	1	57	57	NUM
ap-4608	124	2	no	no	NOUN
ap-4608	124	3	.	.	PUNCT
ap-4608	125	1	6/2017	6/2017	NUM
ap-4608	125	2	lambert	lambert	PROPN
ap-4608	125	3	function	function	NOUN
ap-4608	125	4	methods	method	NOUN
ap-4608	125	5	intensity	intensity	NOUN
ap-4608	125	6	crosses	cross	VERB
ap-4608	125	7	its	its	PRON
ap-4608	125	8	threshold	threshold	NOUN
ap-4608	125	9	value	value	NOUN
ap-4608	125	10	,	,	PUNCT
ap-4608	125	11	i.e.	i.e.	X
ap-4608	125	12	,	,	PUNCT
ap-4608	125	13	when	when	SCONJ
ap-4608	125	14	the	the	DET
ap-4608	125	15	intensity	intensity	NOUN
ap-4608	125	16	is	be	AUX
ap-4608	125	17	still	still	ADV
ap-4608	125	18	in	in	ADP
ap-4608	125	19	the	the	DET
ap-4608	125	20	exponentially	exponentially	ADV
ap-4608	125	21	amplifying	amplifying	ADJ
ap-4608	125	22	stage	stage	NOUN
ap-4608	125	23	.	.	PUNCT
ap-4608	126	1	furthermore	furthermore	ADV
ap-4608	126	2	,	,	PUNCT
ap-4608	126	3	the	the	DET
ap-4608	126	4	analytic	analytic	ADJ
ap-4608	126	5	technique	technique	NOUN
ap-4608	126	6	assumes	assume	VERB
ap-4608	126	7	that	that	SCONJ
ap-4608	126	8	the	the	DET
ap-4608	126	9	carrier	carrier	NOUN
ap-4608	126	10	inversion	inversion	NOUN
ap-4608	126	11	has	have	AUX
ap-4608	126	12	reached	reach	VERB
ap-4608	126	13	its	its	PRON
ap-4608	126	14	steady	steady	ADJ
ap-4608	126	15	state	state	NOUN
ap-4608	126	16	value	value	NOUN
ap-4608	126	17	while	while	SCONJ
ap-4608	126	18	the	the	DET
ap-4608	126	19	intensity	intensity	NOUN
ap-4608	126	20	is	be	AUX
ap-4608	126	21	till	till	SCONJ
ap-4608	126	22	growing	grow	VERB
ap-4608	126	23	.	.	PUNCT
ap-4608	127	1	to	to	PART
ap-4608	127	2	overcome	overcome	VERB
ap-4608	127	3	the	the	DET
ap-4608	127	4	problem	problem	NOUN
ap-4608	127	5	of	of	ADP
ap-4608	127	6	a	a	DET
ap-4608	127	7	very	very	ADV
ap-4608	127	8	narrow	narrow	ADJ
ap-4608	127	9	observation	observation	NOUN
ap-4608	127	10	time	time	NOUN
ap-4608	127	11	window	window	NOUN
ap-4608	127	12	for	for	ADP
ap-4608	127	13	the	the	DET
ap-4608	127	14	laser	laser	NOUN
ap-4608	127	15	intensity	intensity	NOUN
ap-4608	127	16	dynamics	dynamic	NOUN
ap-4608	127	17	,	,	PUNCT
ap-4608	127	18	we	we	PRON
ap-4608	127	19	have	have	AUX
ap-4608	127	20	suggested	suggest	VERB
ap-4608	127	21	some	some	DET
ap-4608	127	22	remedies	remedy	NOUN
ap-4608	127	23	that	that	PRON
ap-4608	127	24	could	could	AUX
ap-4608	127	25	be	be	AUX
ap-4608	127	26	implemented	implement	VERB
ap-4608	127	27	at	at	ADP
ap-4608	127	28	the	the	DET
ap-4608	127	29	laser	laser	NOUN
ap-4608	127	30	fabrication	fabrication	NOUN
ap-4608	127	31	step	step	NOUN
ap-4608	127	32	to	to	PART
ap-4608	127	33	modify	modify	VERB
ap-4608	127	34	the	the	DET
ap-4608	127	35	material	material	NOUN
ap-4608	127	36	parameters	parameter	NOUN
ap-4608	127	37	of	of	ADP
ap-4608	127	38	the	the	DET
ap-4608	127	39	laser	laser	NOUN
ap-4608	127	40	.	.	PUNCT
ap-4608	128	1	in	in	ADP
ap-4608	128	2	particular	particular	ADJ
ap-4608	128	3	,	,	PUNCT
ap-4608	128	4	reducing	reduce	VERB
ap-4608	128	5	the	the	DET
ap-4608	128	6	differential	differential	ADJ
ap-4608	128	7	gain	gain	NOUN
ap-4608	128	8	coefficient	coefficient	NOUN
ap-4608	128	9	,	,	PUNCT
ap-4608	128	10	and	and	CCONJ
ap-4608	128	11	modifying	modify	VERB
ap-4608	128	12	other	other	ADJ
ap-4608	128	13	properties	property	NOUN
ap-4608	128	14	of	of	ADP
ap-4608	128	15	the	the	DET
ap-4608	128	16	laser	laser	NOUN
ap-4608	128	17	so	so	SCONJ
ap-4608	128	18	that	that	SCONJ
ap-4608	128	19	a	a	DET
ap-4608	128	20	very	very	ADV
ap-4608	128	21	weak	weak	ADJ
ap-4608	128	22	pump	pump	NOUN
ap-4608	128	23	will	will	AUX
ap-4608	128	24	induce	induce	VERB
ap-4608	128	25	the	the	DET
ap-4608	128	26	desired	desire	VERB
ap-4608	128	27	population	population	NOUN
ap-4608	128	28	inversion	inversion	NOUN
ap-4608	128	29	,	,	PUNCT
ap-4608	128	30	will	will	AUX
ap-4608	128	31	enable	enable	VERB
ap-4608	128	32	a	a	DET
ap-4608	128	33	much	much	ADV
ap-4608	128	34	wider	wide	ADJ
ap-4608	128	35	time	time	NOUN
ap-4608	128	36	window	window	NOUN
ap-4608	128	37	between	between	ADP
ap-4608	128	38	the	the	DET
ap-4608	128	39	time	time	NOUN
ap-4608	128	40	at	at	ADP
ap-4608	128	41	which	which	PRON
ap-4608	128	42	the	the	DET
ap-4608	128	43	inversion	inversion	NOUN
ap-4608	128	44	reaches	reach	VERB
ap-4608	128	45	a	a	DET
ap-4608	128	46	steady	steady	ADJ
ap-4608	128	47	state	state	NOUN
ap-4608	128	48	and	and	CCONJ
ap-4608	128	49	the	the	DET
ap-4608	128	50	time	time	NOUN
ap-4608	128	51	at	at	ADP
ap-4608	128	52	which	which	PRON
ap-4608	128	53	the	the	DET
ap-4608	128	54	laser	laser	NOUN
ap-4608	128	55	intensity	intensity	NOUN
ap-4608	128	56	saturates	saturate	VERB
ap-4608	128	57	.	.	PUNCT
ap-4608	129	1	once	once	ADV
ap-4608	129	2	a	a	DET
ap-4608	129	3	wider	wide	ADJ
ap-4608	129	4	time	time	NOUN
ap-4608	129	5	window	window	NOUN
ap-4608	129	6	is	be	AUX
ap-4608	129	7	attained	attain	VERB
ap-4608	129	8	,	,	PUNCT
ap-4608	129	9	the	the	DET
ap-4608	129	10	predictions	prediction	NOUN
ap-4608	129	11	of	of	ADP
ap-4608	129	12	the	the	DET
ap-4608	129	13	lambert	lambert	PROPN
ap-4608	129	14	function	function	NOUN
ap-4608	129	15	results	result	NOUN
ap-4608	129	16	can	can	AUX
ap-4608	129	17	be	be	AUX
ap-4608	129	18	tested	test	VERB
ap-4608	129	19	.	.	PUNCT
ap-4608	130	1	references	reference	NOUN
ap-4608	130	2	[	[	X
ap-4608	130	3	1	1	X
ap-4608	130	4	]	]	PUNCT
ap-4608	130	5	see	see	VERB
ap-4608	130	6	e.g.	e.g.	ADV
ap-4608	130	7	h.	h.	PROPN
ap-4608	130	8	smith	smith	PROPN
ap-4608	130	9	,	,	PUNCT
ap-4608	130	10	an	an	DET
ap-4608	130	11	introduction	introduction	NOUN
ap-4608	130	12	to	to	PART
ap-4608	130	13	delay	delay	VERB
ap-4608	130	14	differental	differental	ADJ
ap-4608	130	15	equations	equation	NOUN
ap-4608	130	16	with	with	ADP
ap-4608	130	17	applications	application	NOUN
ap-4608	130	18	to	to	ADP
ap-4608	130	19	the	the	DET
ap-4608	130	20	life	life	NOUN
ap-4608	130	21	sciences	science	NOUN
ap-4608	130	22	,	,	PUNCT
ap-4608	130	23	isbn	isbn	ADJ
ap-4608	130	24	978	978	NUM
ap-4608	130	25	-	-	SYM
ap-4608	130	26	1	1	NUM
ap-4608	130	27	-	-	PUNCT
ap-4608	130	28	4419	4419	NUM
ap-4608	130	29	-	-	PUNCT
ap-4608	130	30	7646	7646	NUM
ap-4608	130	31	-	-	SYM
ap-4608	130	32	8	8	NUM
ap-4608	130	33	,	,	PUNCT
ap-4608	130	34	springer	springer	NOUN
ap-4608	130	35	(	(	PUNCT
ap-4608	130	36	2011	2011	NUM
ap-4608	130	37	)	)	PUNCT
ap-4608	130	38	.	.	PUNCT
ap-4608	131	1	[	[	X
ap-4608	131	2	2	2	NUM
ap-4608	131	3	]	]	X
ap-4608	131	4	s.p	s.p	PROPN
ap-4608	131	5	.	.	PROPN
ap-4608	131	6	blythe	blythe	PROPN
ap-4608	131	7	,	,	PUNCT
ap-4608	131	8	r.	r.	PROPN
ap-4608	131	9	m.	m.	PROPN
ap-4608	131	10	nisbet	nisbet	PROPN
ap-4608	131	11	,	,	PUNCT
ap-4608	131	12	and	and	CCONJ
ap-4608	131	13	w.	w.	PROPN
ap-4608	131	14	s.	s.	PROPN
ap-4608	131	15	c.	c.	PROPN
ap-4608	131	16	gurney	gurney	PROPN
ap-4608	131	17	,	,	PUNCT
ap-4608	131	18	instability	instability	NOUN
ap-4608	131	19	and	and	CCONJ
ap-4608	131	20	complex	complex	ADJ
ap-4608	131	21	dynamic	dynamic	ADJ
ap-4608	131	22	behavior	behavior	NOUN
ap-4608	131	23	in	in	ADP
ap-4608	131	24	population	population	NOUN
ap-4608	131	25	models	model	NOUN
ap-4608	131	26	with	with	ADP
ap-4608	131	27	long	long	ADJ
ap-4608	131	28	time	time	NOUN
ap-4608	131	29	delays	delay	NOUN
ap-4608	131	30	.	.	PUNCT
ap-4608	132	1	theoretical	theoretical	ADJ
ap-4608	132	2	population	population	NOUN
ap-4608	132	3	biology	biology	NOUN
ap-4608	132	4	22	22	NUM
ap-4608	132	5	,	,	PUNCT
ap-4608	132	6	147âăş176	147âăş176	NUM
ap-4608	132	7	(	(	PUNCT
ap-4608	132	8	1982	1982	NUM
ap-4608	132	9	)	)	PUNCT
ap-4608	132	10	.	.	PUNCT
ap-4608	133	1	[	[	X
ap-4608	133	2	3	3	X
ap-4608	133	3	]	]	X
ap-4608	133	4	y.	y.	PROPN
ap-4608	133	5	kuang	kuang	PROPN
ap-4608	133	6	,	,	PUNCT
ap-4608	133	7	delay	delay	VERB
ap-4608	133	8	differential	differential	ADJ
ap-4608	133	9	equation	equation	NOUN
ap-4608	133	10	with	with	ADP
ap-4608	133	11	applications	application	NOUN
ap-4608	133	12	in	in	ADP
ap-4608	133	13	population	population	NOUN
ap-4608	133	14	dynamics	dynamic	NOUN
ap-4608	133	15	.	.	PUNCT
ap-4608	134	1	academic	academic	ADJ
ap-4608	134	2	press	press	PROPN
ap-4608	134	3	,	,	PUNCT
ap-4608	134	4	inc	inc	PROPN
ap-4608	134	5	.	.	PROPN
ap-4608	134	6	(	(	PUNCT
ap-4608	134	7	1993	1993	NUM
ap-4608	134	8	)	)	PUNCT
ap-4608	134	9	.	.	PUNCT
ap-4608	135	1	[	[	X
ap-4608	135	2	4	4	X
ap-4608	135	3	]	]	X
ap-4608	135	4	marc	marc	PROPN
ap-4608	135	5	r.	r.	PROPN
ap-4608	135	6	roussel	roussel	PROPN
ap-4608	135	7	,	,	PUNCT
ap-4608	135	8	the	the	DET
ap-4608	135	9	use	use	NOUN
ap-4608	135	10	of	of	ADP
ap-4608	135	11	delay	delay	NOUN
ap-4608	135	12	differential	differential	ADJ
ap-4608	135	13	equations	equation	NOUN
ap-4608	135	14	in	in	ADP
ap-4608	135	15	chemical	chemical	ADJ
ap-4608	135	16	kinetics	kinetic	NOUN
ap-4608	135	17	,	,	PUNCT
ap-4608	135	18	j.	j.	PROPN
ap-4608	135	19	phys	phys	PROPN
ap-4608	135	20	.	.	PUNCT
ap-4608	136	1	chem	chem	PROPN
ap-4608	136	2	.	.	PUNCT
ap-4608	137	1	100	100	NUM
ap-4608	137	2	,	,	PUNCT
ap-4608	137	3	8323	8323	NUM
ap-4608	137	4	-	-	SYM
ap-4608	137	5	8330	8330	NUM
ap-4608	137	6	(	(	PUNCT
ap-4608	137	7	1996	1996	NUM
ap-4608	137	8	)	)	PUNCT
ap-4608	137	9	.	.	PUNCT
ap-4608	138	1	[	[	X
ap-4608	138	2	5	5	X
ap-4608	138	3	]	]	X
ap-4608	138	4	m.h	m.h	PROPN
ap-4608	138	5	.	.	PROPN
ap-4608	138	6	anderson	anderson	PROPN
ap-4608	138	7	,	,	PUNCT
ap-4608	138	8	g.	g.	PROPN
ap-4608	138	9	vemuri	vemuri	PROPN
ap-4608	138	10	,	,	PUNCT
ap-4608	138	11	j.	j.	PROPN
ap-4608	138	12	cooper	cooper	PROPN
ap-4608	138	13	,	,	PUNCT
ap-4608	138	14	p.	p.	PROPN
ap-4608	138	15	zoller	zoller	PROPN
ap-4608	138	16	and	and	CCONJ
ap-4608	138	17	s.j	s.j	PROPN
ap-4608	138	18	.	.	PROPN
ap-4608	138	19	smith	smith	PROPN
ap-4608	138	20	,	,	PUNCT
ap-4608	138	21	experimental	experimental	ADJ
ap-4608	138	22	study	study	NOUN
ap-4608	138	23	of	of	ADP
ap-4608	138	24	absorption	absorption	NOUN
ap-4608	138	25	and	and	CCONJ
ap-4608	138	26	gain	gain	NOUN
ap-4608	138	27	from	from	ADP
ap-4608	138	28	two	two	NUM
ap-4608	138	29	-	-	PUNCT
ap-4608	138	30	level	level	NOUN
ap-4608	138	31	atoms	atom	NOUN
ap-4608	138	32	in	in	ADP
ap-4608	138	33	non	non	ADJ
ap-4608	138	34	-	-	ADJ
ap-4608	138	35	markovian	markovian	ADJ
ap-4608	138	36	,	,	PUNCT
ap-4608	138	37	phase	phase	NOUN
ap-4608	138	38	diffusing	diffuse	VERB
ap-4608	138	39	optical	optical	ADJ
ap-4608	138	40	fields	field	NOUN
ap-4608	138	41	,	,	PUNCT
ap-4608	138	42	phys	phy	NOUN
ap-4608	138	43	.	.	PUNCT
ap-4608	139	1	rev	rev	PROPN
ap-4608	139	2	.	.	PUNCT
ap-4608	140	1	a	a	DET
ap-4608	140	2	47	47	NUM
ap-4608	140	3	,	,	PUNCT
ap-4608	140	4	3202	3202	NUM
ap-4608	140	5	-	-	PUNCT
ap-4608	140	6	3209	3209	NUM
ap-4608	140	7	(	(	PUNCT
ap-4608	140	8	1993	1993	NUM
ap-4608	140	9	)	)	PUNCT
ap-4608	140	10	.	.	PUNCT
ap-4608	141	1	[	[	X
ap-4608	141	2	6	6	NUM
ap-4608	141	3	]	]	PUNCT
ap-4608	141	4	b.	b.	NOUN
ap-4608	141	5	krauskopf	krauskopf	PROPN
ap-4608	141	6	and	and	CCONJ
ap-4608	141	7	d.	d.	PROPN
ap-4608	141	8	lenstra	lenstra	PROPN
ap-4608	141	9	,	,	PUNCT
ap-4608	141	10	fundamental	fundamental	ADJ
ap-4608	141	11	issues	issue	NOUN
ap-4608	141	12	of	of	ADP
ap-4608	141	13	nonlinear	nonlinear	ADJ
ap-4608	141	14	laser	laser	NOUN
ap-4608	141	15	dynamics	dynamic	NOUN
ap-4608	141	16	,	,	PUNCT
ap-4608	141	17	aip	aip	PROPN
ap-4608	141	18	conference	conference	PROPN
ap-4608	141	19	proc	proc	NOUN
ap-4608	141	20	.	.	PUNCT
ap-4608	142	1	548	548	NUM
ap-4608	142	2	(	(	PUNCT
ap-4608	142	3	2000	2000	NUM
ap-4608	142	4	)	)	PUNCT
ap-4608	142	5	.	.	PUNCT
ap-4608	143	1	[	[	X
ap-4608	143	2	7	7	X
ap-4608	143	3	]	]	X
ap-4608	143	4	see	see	VERB
ap-4608	143	5	e.g.	e.g.	ADV
ap-4608	143	6	d.	d.	PROPN
ap-4608	143	7	kane	kane	PROPN
ap-4608	143	8	and	and	CCONJ
ap-4608	143	9	k.a	k.a	PROPN
ap-4608	143	10	.	.	PROPN
ap-4608	143	11	shore	shore	PROPN
ap-4608	143	12	,	,	PUNCT
ap-4608	143	13	unlocking	unlock	VERB
ap-4608	143	14	dynamical	dynamical	ADJ
ap-4608	143	15	diversity	diversity	NOUN
ap-4608	143	16	:	:	PUNCT
ap-4608	143	17	optical	optical	ADJ
ap-4608	143	18	feedback	feedback	NOUN
ap-4608	143	19	effects	effect	NOUN
ap-4608	143	20	on	on	ADP
ap-4608	143	21	semiconductor	semiconductor	NOUN
ap-4608	143	22	lasers	laser	NOUN
ap-4608	143	23	,	,	PUNCT
ap-4608	143	24	isbn	isbn	ADJ
ap-4608	143	25	0	0	NUM
ap-4608	143	26	-	-	SYM
ap-4608	143	27	470	470	NUM
ap-4608	143	28	-	-	PUNCT
ap-4608	143	29	85619	85619	NUM
ap-4608	143	30	-	-	PUNCT
ap-4608	143	31	x.	x.	NOUN
ap-4608	144	1	[	[	X
ap-4608	144	2	8	8	NUM
ap-4608	144	3	]	]	X
ap-4608	144	4	r.m	r.m	PROPN
ap-4608	144	5	.	.	PROPN
ap-4608	144	6	corless	corless	PROPN
ap-4608	144	7	,	,	PUNCT
ap-4608	144	8	g.h	g.h	PROPN
ap-4608	144	9	.	.	PROPN
ap-4608	144	10	gonnet	gonnet	NOUN
ap-4608	144	11	,	,	PUNCT
ap-4608	144	12	d.e.g	d.e.g	NOUN
ap-4608	144	13	.	.	PUNCT
ap-4608	144	14	hare	hare	PROPN
ap-4608	144	15	,	,	PUNCT
ap-4608	144	16	d.j	d.j	PROPN
ap-4608	144	17	.	.	PROPN
ap-4608	144	18	jeffery	jeffery	PROPN
ap-4608	144	19	,	,	PUNCT
ap-4608	144	20	and	and	CCONJ
ap-4608	144	21	d.e	d.e	PROPN
ap-4608	144	22	.	.	PROPN
ap-4608	144	23	knuth	knuth	PROPN
ap-4608	144	24	,	,	PUNCT
ap-4608	144	25	on	on	ADP
ap-4608	144	26	the	the	DET
ap-4608	144	27	lambert	lambert	PROPN
ap-4608	144	28	w	w	PROPN
ap-4608	144	29	function	function	PROPN
ap-4608	144	30	,	,	PUNCT
ap-4608	144	31	adv	adv	INTJ
ap-4608	144	32	comput	comput	ADJ
ap-4608	144	33	math	math	NOUN
ap-4608	144	34	5	5	NUM
ap-4608	144	35	,	,	PUNCT
ap-4608	144	36	329	329	NUM
ap-4608	144	37	(	(	PUNCT
ap-4608	144	38	1996	1996	NUM
ap-4608	144	39	)	)	PUNCT
ap-4608	144	40	.	.	PUNCT
ap-4608	145	1	[	[	X
ap-4608	145	2	9	9	NUM
ap-4608	145	3	]	]	X
ap-4608	145	4	g.h.m	g.h.m	NOUN
ap-4608	145	5	.	.	PUNCT
ap-4608	146	1	van	van	PROPN
ap-4608	146	2	tartwijk	tartwijk	PROPN
ap-4608	146	3	and	and	CCONJ
ap-4608	146	4	d.	d.	PROPN
ap-4608	146	5	lenstra	lenstra	PROPN
ap-4608	146	6	,	,	PUNCT
ap-4608	146	7	quant	quant	NOUN
ap-4608	146	8	.	.	PUNCT
ap-4608	147	1	and	and	CCONJ
ap-4608	147	2	semiclassical	semiclassical	ADJ
ap-4608	147	3	optics	optic	NOUN
ap-4608	147	4	7	7	NUM
ap-4608	147	5	,	,	PUNCT
ap-4608	147	6	87	87	NUM
ap-4608	147	7	(	(	PUNCT
ap-4608	147	8	1995	1995	NUM
ap-4608	147	9	)	)	PUNCT
ap-4608	147	10	.	.	PUNCT
ap-4608	148	1	[	[	X
ap-4608	148	2	10	10	NUM
ap-4608	148	3	]	]	X
ap-4608	148	4	j.	j.	PROPN
ap-4608	148	5	mork	mork	PROPN
ap-4608	148	6	,	,	PUNCT
ap-4608	148	7	j.	j.	PROPN
ap-4608	148	8	mark	mark	PROPN
ap-4608	148	9	and	and	CCONJ
ap-4608	148	10	b.	b.	PROPN
ap-4608	148	11	tromborg	tromborg	PROPN
ap-4608	148	12	,	,	PUNCT
ap-4608	148	13	route	route	NOUN
ap-4608	148	14	to	to	PART
ap-4608	148	15	chaos	chaos	NOUN
ap-4608	148	16	and	and	CCONJ
ap-4608	148	17	competition	competition	NOUN
ap-4608	148	18	between	between	ADP
ap-4608	148	19	relaxation	relaxation	NOUN
ap-4608	148	20	oscillations	oscillation	NOUN
ap-4608	148	21	for	for	ADP
ap-4608	148	22	a	a	DET
ap-4608	148	23	semiconductor	semiconductor	NOUN
ap-4608	148	24	laser	laser	NOUN
ap-4608	148	25	with	with	ADP
ap-4608	148	26	optical	optical	ADJ
ap-4608	148	27	feedback	feedback	NOUN
ap-4608	148	28	,	,	PUNCT
ap-4608	148	29	phys	phy	NOUN
ap-4608	148	30	.	.	PUNCT
ap-4608	149	1	rev	rev	PROPN
ap-4608	149	2	.	.	PUNCT
ap-4608	150	1	a	a	DET
ap-4608	150	2	65	65	NUM
ap-4608	150	3	,	,	PUNCT
ap-4608	150	4	1999	1999	NUM
ap-4608	150	5	-	-	SYM
ap-4608	150	6	2002	2002	NUM
ap-4608	150	7	(	(	PUNCT
ap-4608	150	8	1990	1990	NUM
ap-4608	150	9	)	)	PUNCT
ap-4608	150	10	.	.	PUNCT
ap-4608	151	1	[	[	X
ap-4608	151	2	11	11	NUM
ap-4608	151	3	]	]	PUNCT
ap-4608	151	4	m.	m.	NOUN
ap-4608	151	5	soriano	soriano	PROPN
ap-4608	151	6	,	,	PUNCT
ap-4608	151	7	j.	j.	PROPN
ap-4608	151	8	garcia	garcia	PROPN
ap-4608	151	9	-	-	PUNCT
ap-4608	151	10	ojalvo	ojalvo	PROPN
ap-4608	151	11	,	,	PUNCT
ap-4608	151	12	c.r	c.r	PROPN
ap-4608	151	13	.	.	PROPN
ap-4608	151	14	mirasso	mirasso	PROPN
ap-4608	151	15	,	,	PUNCT
ap-4608	151	16	and	and	CCONJ
ap-4608	151	17	i.	i.	PROPN
ap-4608	151	18	fischer	fischer	PROPN
ap-4608	151	19	,	,	PUNCT
ap-4608	151	20	rev	rev	PROPN
ap-4608	151	21	.	.	PROPN
ap-4608	151	22	mod	mod	PROPN
ap-4608	151	23	.	.	PUNCT
ap-4608	152	1	phys	phy	NOUN
ap-4608	152	2	.	.	PUNCT
ap-4608	152	3	85	85	NUM
ap-4608	152	4	,	,	PUNCT
ap-4608	152	5	421	421	NUM
ap-4608	152	6	-	-	SYM
ap-4608	152	7	470	470	NUM
ap-4608	152	8	(	(	PUNCT
ap-4608	152	9	2013	2013	NUM
ap-4608	152	10	)	)	PUNCT
ap-4608	152	11	.	.	PUNCT
ap-4608	153	1	[	[	X
ap-4608	153	2	12	12	NUM
ap-4608	153	3	]	]	PUNCT
ap-4608	153	4	m.	m.	NOUN
ap-4608	153	5	sciamanna	sciamanna	NOUN
ap-4608	153	6	and	and	CCONJ
ap-4608	153	7	k.a	k.a	PROPN
ap-4608	153	8	.	.	PROPN
ap-4608	153	9	shore	shore	PROPN
ap-4608	153	10	,	,	PUNCT
ap-4608	153	11	nature	nature	NOUN
ap-4608	153	12	photonics	photonic	NOUN
ap-4608	153	13	9	9	NUM
ap-4608	153	14	,	,	PUNCT
ap-4608	153	15	151	151	NUM
ap-4608	153	16	-	-	SYM
ap-4608	153	17	162	162	NUM
ap-4608	153	18	(	(	PUNCT
ap-4608	153	19	2015	2015	NUM
ap-4608	153	20	)	)	PUNCT
ap-4608	153	21	.	.	PUNCT
ap-4608	154	1	[	[	X
ap-4608	154	2	13	13	NUM
ap-4608	154	3	]	]	X
ap-4608	154	4	j.	j.	PROPN
ap-4608	154	5	mulet	mulet	PROPN
ap-4608	154	6	,	,	PUNCT
ap-4608	154	7	c.	c.	PROPN
ap-4608	154	8	masoller	masoller	PROPN
ap-4608	154	9	and	and	CCONJ
ap-4608	154	10	c.r	c.r	PROPN
ap-4608	154	11	.	.	PROPN
ap-4608	154	12	mirasso	mirasso	PROPN
ap-4608	154	13	,	,	PUNCT
ap-4608	154	14	modeling	model	VERB
ap-4608	154	15	bidirectionally	bidirectionally	ADV
ap-4608	154	16	coupled	couple	VERB
ap-4608	154	17	single	single	ADJ
ap-4608	154	18	-	-	PUNCT
ap-4608	154	19	mode	mode	NOUN
ap-4608	154	20	semiconductor	semiconductor	NOUN
ap-4608	154	21	lasers	laser	NOUN
ap-4608	154	22	,	,	PUNCT
ap-4608	154	23	phys	phy	NOUN
ap-4608	154	24	.	.	PUNCT
ap-4608	155	1	re	re	PROPN
ap-4608	155	2	.	.	PUNCT
ap-4608	156	1	a	a	DET
ap-4608	156	2	65	65	NUM
ap-4608	156	3	,	,	PUNCT
ap-4608	156	4	063815	063815	NUM
ap-4608	156	5	(	(	PUNCT
ap-4608	156	6	2002	2002	NUM
ap-4608	156	7	)	)	PUNCT
ap-4608	156	8	.	.	PUNCT
ap-4608	157	1	[	[	X
ap-4608	157	2	14	14	NUM
ap-4608	157	3	]	]	X
ap-4608	157	4	r.	r.	PROPN
ap-4608	157	5	lang	lang	PROPN
ap-4608	157	6	and	and	CCONJ
ap-4608	157	7	k.	k.	PROPN
ap-4608	157	8	kobayashi	kobayashi	PROPN
ap-4608	157	9	,	,	PUNCT
ap-4608	157	10	ieee	ieee	PROPN
ap-4608	157	11	j.	j.	PROPN
ap-4608	157	12	quant	quant	PROPN
ap-4608	157	13	.	.	PUNCT
ap-4608	158	1	elec	elec	PROPN
ap-4608	158	2	.	.	PROPN
ap-4608	158	3	qe-16	qe-16	X
ap-4608	158	4	,	,	PUNCT
ap-4608	158	5	347	347	NUM
ap-4608	158	6	-	-	SYM
ap-4608	158	7	355	355	NUM
ap-4608	158	8	(	(	PUNCT
ap-4608	158	9	1980	1980	NUM
ap-4608	158	10	)	)	PUNCT
ap-4608	158	11	.	.	PUNCT
ap-4608	159	1	[	[	X
ap-4608	159	2	15	15	NUM
ap-4608	159	3	]	]	X
ap-4608	159	4	j.	j.	PROPN
ap-4608	159	5	li	li	PROPN
ap-4608	159	6	,	,	PUNCT
ap-4608	159	7	a.k	a.k	PROPN
ap-4608	159	8	.	.	PROPN
ap-4608	159	9	harter	harter	PROPN
ap-4608	159	10	,	,	PUNCT
ap-4608	159	11	l.	l.	PROPN
ap-4608	159	12	de	de	PROPN
ap-4608	159	13	melo	melo	PROPN
ap-4608	159	14	,	,	PUNCT
ap-4608	159	15	y.n	y.n	PROPN
ap-4608	159	16	.	.	PROPN
ap-4608	159	17	joglekar	joglekar	PROPN
ap-4608	159	18	,	,	PUNCT
ap-4608	159	19	and	and	CCONJ
ap-4608	159	20	l.	l.	PROPN
ap-4608	159	21	luo	luo	PROPN
ap-4608	159	22	,	,	PUNCT
ap-4608	159	23	arxiv:1608.05061	arxiv:1608.05061	PROPN
ap-4608	159	24	.	.	PUNCT
ap-4608	160	1	403	403	NUM
ap-4608	160	2	acta	acta	PROPN
ap-4608	160	3	polytechnica	polytechnica	PROPN
ap-4608	160	4	57(6):399–403	57(6):399–403	PROPN
ap-4608	160	5	,	,	PUNCT
ap-4608	160	6	2017	2017	NUM
ap-4608	160	7	1	1	NUM
ap-4608	160	8	introduction	introduction	NOUN
ap-4608	160	9	2	2	NUM
ap-4608	160	10	lang	lang	PROPN
ap-4608	160	11	–	–	PUNCT
ap-4608	160	12	kobayashi	kobayashi	PROPN
ap-4608	160	13	equations	equation	NOUN
ap-4608	160	14	3	3	NUM
ap-4608	160	15	domain	domain	NOUN
ap-4608	160	16	of	of	ADP
ap-4608	160	17	validity	validity	NOUN
ap-4608	160	18	of	of	ADP
ap-4608	160	19	lambert	lambert	PROPN
ap-4608	160	20	formalism	formalism	NOUN
ap-4608	160	21	4	4	NUM
ap-4608	160	22	bidirectionally	bidirectionally	ADV
ap-4608	160	23	coupled	couple	VERB
ap-4608	160	24	lasers	laser	NOUN
ap-4608	160	25	references	reference	NOUN