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依据拉曼效应下光子晶体光纤所满足的非线性相干耦合薛定谔方程,在两偏振方向输入不同频率激光脉冲时,导出了增益的表达式。通过数值模拟,其结果表明与不考虑拉曼效应时相比,增益谱的对称性遭到破坏。当两偏振模同处于正常色散区和反常色散区时高阶色散的增加会造成增益谱展宽,峰值降低。而当两偏振模处于不同的色散区时,高阶色散的影响并不明显。同时模拟结果表明两偏振模的色散系数主要对斯托克斯部分和反斯托克斯部分的增益谱产生影响。
According to the nonlinear coherent coupling Schrödinger equation which is satisfied by the Raman effect of photonic crystal fiber, the expression of gain is deduced when different frequency laser pulses are input in two polarization directions. The results of numerical simulation show that the symmetry of the gain spectrum is destroyed compared with that without considering the Raman effect. When the two polarization modes are in the normal dispersion region and the anomalous dispersion region, the increase of the high-order dispersion causes the broadening of the gain spectrum and the decrease of the peak value. When the two polarization modes are in different dispersion regions, the influence of higher-order dispersion is not obvious. The simulation results show that the dispersion coefficient of two polarization modes mainly affects the gain spectrum of Stokes and anti-Stokes sections.