参量对暗孤子在非线性左手材料中演化色散起始值影响分析

摘要

When dark soliton that determined by a nonlinear Schrödinger equations propagates in the nonlinear left-handed materials,the parameter can influence the evolution of the dark soliton deeply. Using Split-Step Fourier Method (SSFM),we simulate the evolution of dark soliton in nonlinear left-handed materials. The simulation shows that the parameter leads to the initial dispersion and total dispersion of the evolution of the dark soliton within the range [2.2,3.3] .And further analysis prove the nonlinear relation between the parameter and the starting point on T axis.The simulation showed the evolution behavior of the dark soliton in the nonlinear left-handed materials.This paper provides some suggestions for the research of the high performance soliton communication in nonlinear left-handed materials.%对于一个耦合非线性Schrödinger方程组的暗孤子解在非线性左手材料中传播，参量对该暗孤子的演化具有重要意义。通过采用分步傅立叶方法（SSFM），本文对暗孤子在非线性左手介质中演化进行了数值仿真，对参量对暗孤子演化稳定性的影响进行了讨论。仿真结果表明，小参量在区间[2.2,3.3]上可导致从开始引起暗孤子的色散到暗孤子完全色散无法传播的演化现象，对暗孤子在非线性左手材料中的演化影响明显。进一步分析表明，小参量与色散起始坐标T之间呈现出非线性关系。本文有助于人们进一步开展非线性左手材料在高性能孤子通信中应用的研究。