具有高阶色散项的交叉相位调制不稳定性分析

以包含了三、四阶色散项的耦合非线性薛定谔方程为基础，重点研究了三、四阶色散对交叉相位调制不稳定性的影响。结果表明：三阶色散对调制不稳定性不起作用；当满足一定条件时，由于四阶色散的影响，不仅在光纤的反常色散区，而且在光纤的正常色散区，交叉相位所致的调制不稳定性均发生在两个频谱区。当光纤各参量及两束入射光波功率一定时，光纤反常色散区第一区域的增益谱要比正常色散区第一区域的增益谱宽；同时，反常色散区第二区域的增益谱比正常色散区第二区域的增益谱更靠近零点；进一步对比反、正常色散区的这两个频谱区，发现两个频谱区的范围有确定的对应关系。

Cross-Phase Modulational Instability with High-Order Dispersion

The effect of third order and fourth order dispersion on cross phase modulational instability based on extended nonlinear Schrdinger equation is investigated. The result shows: Third order dispersion has no effect on modulational instability. Because of fourth order dispersion, cross phase modulational instability occurs at two spectrum regions under the certain conditions in the both anomalous and normal dispersion regimes of fiber. Gain spectrum width of the first region of anomalous dispersion regime is larger than that of normal dispersion regime when other parameters are unchanged, and gain spectrum of the second region of anomalous dispersion regime is near the zero than that of normal dispersion regime, and two spectrum regions of two dispersion regimes have a corresponding relation when the parameters of fiber and the powers of two input lightwaves are certain.