非线性左手介质中波包相同孤子的碰撞

摘要

For the soliton solution of coupled nonlinear Schrödinger equations,their collision behavior in the nonlinear left-handed materials is important for the propagation research on this kind of solitons.In this paper,we employ the Split-Step Fourier Method (SSFM) to simulate the collision process of two solitons with the same envelope.Simulation shows that the two solitons with the same envelope can keep their properties unchanged in the collision,such as their shape and velocity.By neglecting the loss,after the collision,the two solitons continue to propagate without loss of their own initial state and properties in the nonlinear left-handed materials.These results provide the knowledge of the propagation and collision of solitions which is the soliton solution of the coupled nonlinear Schrödinger equations in the nonlinear left-handed materials.%对于耦合非线性 Schrödinger方程组所确定的波包相同的孤子，由于它们之间在非线性左手介质中的碰撞行为对这类孤子在该介质的传播具有重要的意义，因此，采用分步傅里叶方法对这种碰撞过程进行了数值仿真。仿真结果表明，两个孤子碰撞后能够保持其各自原有的特性，如形状和速度等。因在耦合非线性Schrödinger方程组的推导过程中已忽略了损耗，因此传播过程没有能量损失，分离后孤子的幅度、宽度也均没有发生变化。仿真结果有助于人们了解非线性左手Kerr介质中孤子的传播特点和碰撞行为。