光折变类行波空间孤子及其动态演化过程

Photorefractive travelling wave like spatial soliton and the evolution process

用行波变换结合数值方法,求解了光折变非线性方程,得到了类行波空间孤子数值解,给出其形成的必要条件,并研究其在光折变晶体中演化特性.结果表明,类行波空间孤子在光折变晶体中传播时除具有空间孤子的形状不变性外,还具有能量的横向空间平移性,这为空间孤子的可控制偏转提供了可能.偏转角度取决于横向相位调制系数;多束类行波空间孤子的相干相互作用具有光计算的潜在应用.

A numerical solution of travelling-wave-like spatial soliton is obtained by using travelling-wave transform along with numerical method to solve the photorefractive nonlinear equation, and its necessary forming conditions are presented. The evolution properties of the travelling-wave-like spatial soliton in the photorefractive crystal are investigated. The results show that travelling-wave-like spatial soliton can not only keep its shape invariably, but also translate its energy transversely, and this provides the possbility for controllable deflection of the spatial soliton. The deflection angle depends on the magnitude of the transverse phase modulation coefficient. These properties of the multi-soliton coherent interactions can be potentially applied in optical computation.