光折变材料中两暗孤子间距离的演化

The evolution between two dark soliton in photorefractive media

本文从光折变晶体中能得出暗孤子所满足的演化方程出发,用粒子分析方法得出了两暗孤子相互作用时,其质心间的距离所满足的演化方程,并得出了两暗孤子相互作用势函数的表达式,得到其数值解,并得出如下结论:当两暗孤子间距离Δ=0时,其相互作用势函数有最小值,表示在光折变晶体中有稳定的暗孤子对,并且相互作用达到最大;当两暗孤子距离Δ≥5时,其相互作用势函数几乎为零,表示两暗孤子间相互作用很弱,几乎为零。

The centre of the dark vector soliton evolution equation is derived by means of particle analytical method, equivalent from dark soliton＇s evolution equation in the photorefractive crystal, esceptialy between two dark soliton, The potential expression and it＇s numerically calculation is achieved, the conclusion is drawn： When the distance between two dark soliton △=0, its potential function has minimum, shows there is and steady soliton in the photorefractive material, and interaction between two dark soliton raches biggest; When the distance between two dark soliton △≥5, its potential function is nearly equal zero, shows that the interaction between two dark soliton is very weak, nearly zero.