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首页长锥形光纤放大器中受激拉曼散射的理论研究
"对长锥形光纤放大器中受激发射拉曼散射的理论研究" 本文深入探讨了长锥形光纤放大器中的受激发射拉曼散射( Stimulated Raman Scattering,简称SRS)现象。研究团队,包括陈尘、王小林、周朴和许晓军等人,来自国防科技大学光电科学与工程学院、湖南省高能激光技术重点实验室以及湖南省高功率光纤激光协同创新中心,他们在2017年对此进行了深入的理论和数值模拟研究。 SRS是一种非线性光学效应,在光纤放大器中会导致能量从泵浦光谱转移到信号光谱,进而影响系统的增益特性和稳定性。研究团队提出了一种基于传播方程和耦合模理论的模型来描述这一过程。该模型考虑了光纤几何形状变化,尤其是长锥形结构对SRS的影响。 通过对均匀光纤和长锥形光纤放大器的理论分析和数值仿真,研究发现长锥形光纤在抑制SRS方面具有显著优势。这主要是因为锥形结构能够改变光在光纤中的传播特性,有效地分散和减弱SRS效应。这对于优化光纤激光器的设计,尤其是提高其功率密度和效率,减少潜在的热效应和非线性失真,具有重要意义。 通过这些模拟结果,研究人员为设计更有效的系统配置提供了指导。长锥形光纤的应用可能带来更好的激光性能,包括更高的功率输出、更稳定的运行以及更少的非线性副作用。这对于高功率光纤激光器的发展,如工业加工、医疗应用、科学研究等领域,具有重大的实践价值。 这项工作为理解和利用SRS效应提供了一个新的视角,为未来光纤放大器和激光器的优化设计提供了理论依据。同时,它也强调了长锥形光纤在抑制非线性效应方面的潜力,有望推动光纤激光技术的进步。
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Theoretical study of stimulated Raman scattering in long
tapered fiber amplifier
Chen Shi (史 尘)
1
, Xiaolin Wang (王小林)
1,2,3,
*, Pu Zhou (周 朴)
1,2,3
,
and Xiaojun Xu (许晓军)
1,2,3
1
College of Optoelectronic Science and Engineering, National University of Defense Technology,
Changsha 410073, China
2
Hunan Provincial Key Laboratory of High Energy Laser Technology, Changsha 410073, China
3
Hunan Provincial Collaborative Innovation Center of High Power Fiber Laser, Changsha 410073, China
*Corresponding author: chinawxllin@163.com
Received June 27, 2017; accepted September 22, 2017; posted online October 16, 2017
A model that is based on the propagation equation and coupled mode theory is introduced in order to describe
stimulated Raman scattering (SRS) effects in long tapered fiber amplifiers. Based on the presented model, fiber
amplifiers with uniform and long tapered fibers are theoretically and numerically simulated. It can be drawn
from the results of our simulations that the long tapered fiber has the advantage in suppressing SRS when ap-
plied in fiber laser amplifiers. Our results can provide guidance in the designing of system configuration in long
tapered-fiber-based fiber laser systems.
OCIS codes: 060.2320, 060.4370, 290.5910.
doi: 10.3788/COL201715.110605.
For the advantage of high slope efficiency, good beam
quality, superior thermal management property, and com-
pactness, fiber lasers are widely used in the field of laser
marking, material processing, medical, communication,
and many other industrial applications
[1–3]
. Compared with
the traditional fiber laser oscillator, the master oscillator
power amplifier (MOPA) system, which can boost the
progress of fiber laser power scaling, offers an effective
way to acquire a high power fiber laser source with excellent
beam quality by employing a cascaded structure
[4–6]
.In
comparison with a traditional uniform large-mode-area
(LMA) active fiber, the long tapered double clad fiber
(T-DCF) shows numerous unique advantages when being
employed as gain medium of an optical amplifier, such as
LMA, higher pump absorption, suppression to nonlinear
effects, maintaining good beam quality, and so on
[7]
. Some
experimental and theoretical studies on long T-DCF-based
fiber lasers have already been presented by earlier research-
ers, including the continuous-wave (CW) regime
[8–11]
,pulsed
regime
[12,13]
, mode propagating properties
[14,15]
, and so on.
However, among these previous researches, there is hardly
a systematic analysis for nonlinearities in long T-DCF-
based fiber laser systems. The stimulated Raman scattering
(SRS) effect is one of the dominant nonlinear effects in high
power fiber lasers, which usually sets the upper limit of the
power scalability of the whole system
[16]
. In order to fully
understand the performance of long T-DCF-based fiber la-
sers, the analysis of the SRS effect in long T-DCF is needed.
Consider the fiber amplifier, which launches under the
CW regime. By ignoring self-phase modulation (SPM),
cross-phase modulation (XPM), four-wave mixing
(FWM), and stimulated Brillioun scattering (SBS), the
propagation equation of uniform fiber amplifier can be
written as
∂b
λ
p
j
∂z
− iβ
λ
q
j
b
λ
p
j
¼
b
λ
p
j
2
X
p≠q;j;k
b
λ
q
k
A
ðj;k;p;qÞ
eff
g
R
ðω
p
− ω
q
Þ; (1)
where b represents the complex amplitude of the corre-
sponding eigenmode and wavelength. The subscript of
b ðj; kÞ stands for different boundary modes, while the
superscript (p, q) stands for different signal wavelengths.
β is the propagating constant of the corresponding b. A
eff
is the effective area between different modes in different
wavelengths, and it is defined as follows:
A
ðj;k;p;qÞ
eff
¼
hjψ
λ
p
j
j
2
i·hjψ
λ
q
k
j
2
i
hjψ
λ
p
j
j
2
·jψ
λ
q
k
j
2
i
; (2)
where ψ is the normalized modal distribution of the cor-
responding boundary mode. The symbol h·i means inte-
grating over the infinite transverse cross section. g
R
is the
Raman gain, which can be calculated using
[17]
g
R
ðΔωÞ¼
4
3
γf
R
Im½
~
h
R
ðΔωÞ; (3)
where γ is the nonlinear parameter. f
R
¼ 0.18 is the frac-
tional Raman contribution in silicon-based fibers.
~
h
R
is
the frequency domain Raman response function, and it
can be expressed as
~
h
R
ðΔωÞ¼
1
2i
τ
2
1
þ τ
2
2
τ
1
τ
2
2
1
ð1∕τ
2
Þ − i½Δω þð1∕τ
1
Þ
−
1
ð1∕τ
2
Þ − i½Δω − ð1∕τ
1
Þ
; (4)
COL 15(11), 110605(2017) CHINESE OPTICS LETTERS November 10, 2017
1671-7694/2017/110605(5) 110605-1 © 2017 Chinese Optics Letters
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