光学学报, 2016, 36 (6): 0619002, 网络出版: 2016-06-06
基于谱过滤方法的Kuznetsov-Ma孤子向准基态孤子转化研究
Study on Transformation of Kuznetsov-Ma Soliton to Quasi-Fundamental Soliton Based on Spectral-Filtering Method
非线性光学 非线性薛定谔方程 Kuznetsov-Ma孤子 谱过滤方法 准基态孤子 nonlinear optics nonlinear Schrodinger equation Kuznetsov-Ma soliton spectral-filtering method quasi-fundamental soliton
摘要
基于非线性薛定谔方程的Kuznetsov-Ma孤子解,得出零背景的Kuznetsov-Ma孤子形式,给出零背景的Kuznetsov-Ma孤子与准基态孤子之间的关系。利用谱过滤的方法研究单模光纤中Kuznetsov-Ma孤子到准基态孤子转化的动力学行为。结果表明:在Kuznetsov-Ma孤子的最大压缩位置处获取的零背景脉冲能够以准基态孤子的形式在光纤中稳定地传输,并且随着Kuznetsov-Ma孤子物理行为控制参数的增大,更加接近于基态孤子的形式。通过稳定性分析发现,在小的初始白噪声扰动下,准基态孤子会以一定速度稳定传输。
Abstract
Based on the Kuznetsov-Ma soliton solution of the nonlinear Schrdinger equation, the Kuznetsov-Ma soliton with zero background is investigated. The relation between the Kuznetsov-Ma soliton with zero background and the quasi-fundamental soliton is concluded. The dynamics of the Kuznetsov-Ma soliton to the quasi-fundamental soliton in the single mode fiber by means of the spectral-filtering method is considered. The results show that the pulse with zero background extracted from the Kuznetsov-Ma soliton at the maximally compressed position can propagate stably in optical fiber in form of quasi-fundamental soliton. And the pulse tends to the form of the fundamental soliton with the increase of the physical behavior governing parameter. Through the analysis of stability, it is found that the quasi-fundamental soliton has a stable propagation velocity under small random perturbations applied to the initial condition.
杨光晔, 李禄, 田晋平. 基于谱过滤方法的Kuznetsov-Ma孤子向准基态孤子转化研究[J]. 光学学报, 2016, 36(6): 0619002. Yang Guangye, Li Lu, Tian Jinping. Study on Transformation of Kuznetsov-Ma Soliton to Quasi-Fundamental Soliton Based on Spectral-Filtering Method[J]. Acta Optica Sinica, 2016, 36(6): 0619002.