Unified model for spectral and temporal properties of quasi-CW fiber
lasers

Wei Liu; Pengfei Ma; Pengfei Ma; Pu Zhou; Pu Zhou

doi:10.1364/JOSAB.439829

Journal of the Optical Society of America B
Vol. 38,
Issue 12,
pp. 3663-3682
(2021)
•https://doi.org/10.1364/JOSAB.439829

Unified model for spectral and temporal properties of quasi-CW fiber lasers

Wei Liu, Pengfei Ma, and Pu Zhou

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Wei Liu, Pengfei Ma, and Pu Zhou, "Unified model for spectral and temporal properties of quasi-CW fiber lasers," J. Opt. Soc. Am. B 38, 3663-3682 (2021)

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Abstract

This paper discusses a unified theoretical approach to model the spectral and temporal properties of various quasi-continuous-wave (quasi-CW) fiber lasers. The unified spectral evolution model and temporal evolution model of quasi-CW fiber lasers are established by demonstrating the nonlinear propagation equations with gain coefficient and analyzing the corresponding definite conditions and computation methods for effective simulations. Simulation results based on the two unified models are given to show their capacities and application scope in describing the basic spectral and temporal properties of typical quasi-CW fiber lasers involving single gain mechanism with a simple structure. Furthermore, the two unified models could also be extended to analyze the spectral and temporal properties of quasi-CW fiber lasers involving a hybrid gain mechanism or with a composite structure. Overall, the unified spectral evolution model and temporal evolution model could provide a useful tool to describe and design quasi-CW fiber lasers and quasi-CW fiber amplifiers.

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Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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	Pump Source	Signal Source
Rare-earth gain	Pump laser	Signal laser
(superscript $r a$ )	(subscript $p$ )	(subscript $s$ )
Raman gain	Raman pump laser	Raman signal laser
(superscript $R a$ )	(subscript $s$ )	(subscript $R$ )

Parameter	Value	Parameter	Value
$λ_{p}$	976 nm	$λ_{s}$	1070 nm
$Γ_{p}$	0.0064	$Γ_{s}$	0.85
$v_{p}$	$2.0666 \times 10^{8} m / s$	$v_{s}$	$2.0682 \times 10^{8} m / s$
$σ_{p}^{a}$	$1.77 \times 10^{- 24} m^{2}$	$σ_{p}^{e}$	$1.71 \times 10^{- 24} m^{2}$
$σ_{s}^{a}$	$4.5 \times 10^{- 27} m^{2}$	$σ_{s}^{e}$	$3.63 \times 10^{- 25} m^{2}$
$α_{p}$	2 dB/km	$α_{s}$	15 dB/km
$τ$	0.84 ms	$N_{0}$	$8.13 \times 10^{25} / m^{3}$
$γ$	$1.5 W^{- 1} / k m$	$β_{2}$	$20 {p s}^{2} / k m$
$R_{1}$	0.99	$R_{2}$	0.1

Parameter	Value	Parameter	Value
$λ_{p}$	976 nm	$λ_{s}$	1030 nm
$Γ_{p}$	0.0064	$Γ_{s}$	0.85
$v_{p}$	$2.0666 \times 10^{8} m / s$	$v_{s}$	$2.0675 \times 10^{8} m / s$
$σ_{p}^{a}$	$1.77 \times 10^{- 24} m^{2}$	$σ_{p}^{e}$	$1.71 \times 10^{- 24} m^{2}$
$σ_{s}^{a}$	$5.62 \times 10^{- 26} m^{2}$	$σ_{s}^{e}$	$7.63 \times 10^{- 25} m^{2}$
$α_{p}$	2 dB/km	$α_{s}$	15 dB/km
$τ$	0.84 ms	$N_{0}$	$8.13 \times 10^{25} / m^{3}$
$γ$	$1.6 W^{- 1} / k m$	$β_{2}$	$20 {p s}^{2} / k m$

Parameter	Value	Parameter	Value
$λ_{s}$	1070 nm	$λ_{R}$	1120 nm
$v_{s}$	$2.0682 \times 10^{8} m / s$	$v_{R}$	$2.0691 \times 10^{8} m / s$
$α_{s}$	0.2 dB/km	$α_{R}$	0.2 dB/km
$γ_{s}$	$1.5 W^{- 1} / k m$	$γ_{R}$	$1.43 W^{- 1} / k m$
$β_{2 s}$	$20 {p s}^{2} / k m$	$β_{2 R}$	$18 {p s}^{2} / k m$
$g_{s}$	$0.525 W^{- 1} / k m$	$g_{R}$	$0.502 W^{- 1} / k m$
$R_{1}$	0.99	$R_{2}$	0.1
$f_{R}$	0.245	$P_{p}$	100 W

Parameter	Value	Parameter	Value
$λ_{s}$	1070 nm	$λ_{R}$	1120 nm
$v_{s}$	$2.0682 \times 10^{8} m / s$	$v_{R}$	$2.0691 \times 10^{8} m / s$
$α_{s}$	0.2 dB/km	$α_{R}$	0.2 dB/km
$γ_{s}$	$1.5 W^{- 1} / k m$	$γ_{R}$	$1.43 W^{- 1} / k m$
$β_{2 s}$	$20 {p s}^{2} / k m$	$β_{2 R}$	$18 {p s}^{2} / k m$
$g_{s}$	$0.525 W^{- 1} / k m$	$g_{R}$	$0.502 W^{- 1} / k m$
$R_{1}$	0.99	$R_{2}$	0
$f_{R}$	0.245	$P_{p}$	50 W
$L$	1 km	$ε$	$6 \times 10^{- 5} {k m}^{- 1}$

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Journal of the Optical Society of America B