量子光学学报, 2018, 24 (2): 184, 网络出版: 2018-08-04
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
二阶怪波 三阶色散 自频移效应 自陡峭效应 喇曼增益 second-order rogue wave third-order dispersion self-frequency shift effect self-steepening effect roman gain
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。
Abstract
Based on the standard nonlinear Schrdinger equation with the higher-order terms including the third-order dispersion, self-frequency shift, self-steepening effect 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.
郝龙龙, 段亚娟, 宋丽军. 高阶效应对二阶怪波传输特性的影响[J]. 量子光学学报, 2018, 24(2): 184. HAO Long-long, DUAN Ya-juan, SONG Li-jun. Influence of High-order Effects on the Second-order Rogue Wave’s Transmission Characteristics[J]. Acta Sinica Quantum Optica, 2018, 24(2): 184.