Analytical study on the stimulated Raman scattering threshold in distributed-pumped fiber amplifiers

Heting Du; Jianqiu Cao; Heng Chen; Zhihe Huang; Jinbao Chen

doi:10.1364/AO.58.002010

Applied Optics
Vol. 58,
Issue 8,
pp. 2010-2020
(2019)
•https://doi.org/10.1364/AO.58.002010

Analytical study on the stimulated Raman scattering threshold in distributed-pumped fiber amplifiers

Heting Du, Jianqiu Cao, Heng Chen, Zhihe Huang, and Jinbao Chen

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Heting Du, Jianqiu Cao, Heng Chen, Zhihe Huang, and Jinbao Chen, "Analytical study on the stimulated Raman scattering threshold in distributed-pumped fiber amplifiers," Appl. Opt. 58, 2010-2020 (2019)

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Related Topics
Table of Contents Category
- Lasers, Optical Amplifiers, and Laser Optics
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About this Article
History
- Original Manuscript: December 17, 2018
- Revised Manuscript: January 26, 2019
- Manuscript Accepted: January 26, 2019
- Published: March 8, 2019

Abstract

In this paper, the stimulated Raman scattering (SRS) threshold of the distributed-pumped fiber amplifier consisting of multiple sub-amplifiers is analytically studied based on the rate-equation model. The SRS threshold formula is presented where the predictions agree well with the numerical results. With the help of the formula, the effect of the pumping scheme on the SRS suppression of the distributed-pumped fiber amplifier is systematically investigated. It is found that with a given number of pump injection ports, the SRS suppression can be optimized by making only some of sub-amplifiers counter-pumped with the others bi-directional-pumped. It is also suggested that the first sub-amplifier should be adopted to be counter-pumped for suppressing SRS if only one sub-amplifier can be single-directional-pumped. The variation of SRS threshold with the number of sub-amplifiers is also discussed in detail. We believe that these results can provide significant guidance on understanding and designing distributed-pumped fiber lasers and amplifiers.

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Parameter	Value	Parameter	Value
$σ_{a p}$	[19]	$τ$	$0.84 \times 10^{- 3} s$
$σ_{e p}$	[19]	$c$	$3 \times 10^{8} m / s$
$σ_{e s}$	[19]	$h$	$6.634 \times 10^{- 34}$
$σ_{e r}$	[19]	$g_{r}$	$1 \times 10^{- 13} m / W$
$σ_{a s}$	[19]	$α_{s}$	$1 \times 10^{- 3}$
$σ_{a r}$	[19]	$α_{p}$	$1 \times 10^{- 2}$
$A_{eff}$	$4.91 \times 10^{- 10} m^{2}$	$α_{r}$	$1 \times 10^{- 3}$
$λ_{s}$	1070 nm	$n$	1.45
$λ_{p}$	976 nm	$Γ_{s}$	0.84
$λ_{r}$	1123 nm	$Γ_{p}$	$3.9 \times 10^{- 3}$
$Δ λ_{s}$	1 nm	$P_{s 0}$	100 W
$Δ λ_{r}$	1 nm	$P_{r 0}$	$1 \times 10^{- 5} W$
$N_{i}$	$3 \times 10^{25}$

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Applied Optics