高阶效应对二阶怪波传输特性的影响  

Influence of High-order Effects on the Second-order Rogue Wave’s Transmission Characteristics

作　　者：郝龙龙 段亚娟 宋丽军[1] HAO Long-long;DUAN Ya-juan;SONG Li-jun(College of Physics ＆ Electronics Engineering, Shanxi University, Taiyuan 030006, Chin)

机构地区：[1]山西大学物理电子工程学院

出　　处：《量子光学学报》2018年第2期184-191,共8页Journal of Quantum Optics

基　　金：国家青年自然科学基金(11705108)

摘　　要：基于标准的非线性薛定谔方程，在增加高阶项的基础上（包括三阶色散、自频移、自陡峭和喇曼增益），采用分步傅里叶变换方法，分别讨论了各高阶效应对二阶怪波的传输特性的影响。结果表明，高阶效应的增加会使二阶怪波在传输过程中分裂得更快，其中三阶色散、自频移和喇曼增益对中心位置的二阶怪波几乎没有影响，但自陡峭效应会使中心位置的二阶怪波的幅度降低且中心发生偏移。Based on the standard nonlinear SchrOdinger equation with third-order dispersion, self-frequency shift, self-steepening effect the higher-order terms including the and Roman gain, we analyzed the influence of these higher-order terms effect on the second-order rogue wave by the split-step fourier transform method. The results showed that the second-order rogue waves split into series of breather state more quickly with the increasing of high-order effects. And the third-order dispersion, self-frequency shift and Roman gain almost have no influence on the pulse of the center position. But the self-steepening effect makes the amplitude of center position pulse decrease and the pulse center move away.

关 键 词：二阶怪波 三阶色散 自频移效应 自陡峭效应 喇曼增益 

分 类 号：O437[机械工程—光学工程]