光纤孤子的“双陷”型非线性管理

Nonlinearity management for optical fiber solitons with structure of double pitfalls

为了研究光纤系统中由色散参量和"双陷"型非线性参量可能导致的孤子现象,通过分步傅里叶数值算法求解了变系数(1+1)维非线性薛定谔方程。结果发现,光纤孤子在两种"双陷"型非线性光学系统中具有一系列有趣的性质:如单孤子脉冲在可变参量背景下由"双陷"型非线性结构诱发的周期性振荡;双孤子脉冲在常参量背景下由"双陷"型非线性结构诱导的走离效应;三个孤子脉冲在两种"双陷"型非线性光学系统中体现的特殊相互作用、融合效应等。

In order to investigate soliton phenomenon in optical fiber induced by the dispersion and nonlinearity with structure of double pitfalls, the （1 ＋ 1）-dimensional nonlinear SchrSdinger （NLS） equation with variable coefficients was discussed by employing a numerical split-step Fourier code. There exist a series of interesting properties of optical fiber solitons in two types of optical nonlinear systems with the structure of double pitfalls, such as the periodic oscillations of one soliton pulse induced by the nonlinear structure of double pitfalls based on the variable parameter background, the walk-off effect of two solitons induced by the nonlinear structure of double pitfalls based on the constant parameter background, the special interaction and the fusion reactions of three solitons in two types of optical nonlinear systems with the structure of double pitfalls