高斯光束在克尔型非线性介质中的演化特性

由光束在克尔型吸收介质中传输的非线性薛定谔方程,推导了高斯光束注入介质后满足的耦合方程,并分别在不考虑吸收和高阶展开项的情况下,对脉冲的腰斑半径的演化进行了理论分析。发现当注入脉冲满足一定的条件时,脉冲可以以“孤波”的形式传播。当考虑吸收和高阶展开项时,脉冲不存在“孤波”形式,且存在一个阈值,低于阈值的输入,脉冲发生自聚焦;对高于阈值的输入,腰斑半径随着距离的增加而增加,聚焦趋势根本就不存在。

Evolution Feature of Gaussian Beam Propagating in Absorptive Kerr Medium

From the nonlinear Schrdinger equation of beam propagating in absorptive Kerr medium,a set of evolution equations describing Gaussian beam waist have bean derivated.As inexistence absorption and high order explanate term,the input pulse would behave solitary wave with theoretical analysis.As existence absorption and high order explanate term,the input beam behaving solitary wave is destroyed with analysis numerical.And there is a threshold,as lower this threshold the input beam behaves focusing only,but as higher this threshold the input beam behaves diffraction stronly.