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

作　　者：杨光晔[1] 李禄[2] 田晋平[3] 

机构地区：[1]山西医科大学物理教研室,山西太原030001 [2]山西大学理论物理研究所,山西太原030006 [3]山西大学计算机中心,山西太原030006

出　　处：《光学学报》2016年第6期237-242,共6页Acta Optica Sinica

基　　金：国家自然科学基金(61505101;61475198);山西医科大学博士启动基金(03201401);山西医科大学基础医学院"331基础医学科技培植基金计划"(201427);山西医科大学青年基金(02201302)

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。Based on the Kuznetsov-Ma soliton solution of the nonlinear Schr6dinger 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.

关 键 词：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 

分 类 号：O437[机械工程—光学工程]