Interplay between cascaded stimulated Brillouin scattering and four-wave mixing in a fiber Fabry–Perot resonator
Interplay between cascaded stimulated Brillouin scattering and four-wave mixing in a fiber Fabry–Perot resonator
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光纤法布里-珀罗谐振器中级联受激布里渊散射与四波混频之间的相互作用
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发表时间：
2003
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通讯作者：
K. Ogusu
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作者：
K. Ogusu
本文从理论上研究了在带反射镜的光纤法布里-珀罗腔中同时产生级联受激布里渊散射和四波混频。推导了泵波、斯托克斯波和反斯托克斯波的耦合波方程。为了讨论这两个非线性过程之间的平稳相互作用，通过引入一些近似，进一步推导出耦合功率方程。我研究了非对称和对称腔中四波混频对CSBS的影响，通过数值求解两个反射镜边界条件下的耦合功率方程。与没有四波混频的情况相比，四波混频过程导致高阶Stokes波的逐渐产生，透射或反射光功率的交点分裂，反Stokes波的产生。本分析可以很好地解释早先的一个实验[Opt.Commun.32，385（1980）]。
I theoretically investigate the simultaneous generation of cascaded stimulated Brillouin scattering (CSBS) and four-wave mixing (FWM) in a fiber Fabry–Perot resonator with reflection mirrors. The coupled-wave equations for a pump, Stokes, and anti-Stokes waves are derived. To discuss the stationary interplay between the two nonlinear processes, I further deduce the coupled-power equations by introducing some approximations into them. I investigate the effect of FWM on CSBS for asymmetric and symmetric resonators by numerically solving the coupled-power equations under the boundary conditions at the two mirrors. Compared with the case without FWM, the FWM process leads to the gradual generation of higher-order Stokes waves, splitting of the intersection of two transmitted or reflected optical powers, and the generation of anti-Stokes waves. The present analysis can well explain an earlier experiment [Opt. Commun.32, 385 (1980)].