从非线性薛定谔方程出发, 经严格计算求得了在具有像散情况下, 偏振垂直于传播方向的光束在克尔介质中传输的一般特性, 所用的计算方法可应用于高斯光束及克尔透镜锁模腔的研究, 并能对高功率情形进行计算。研究表明,在有其他锁模启动机制下,不一定要用［dω/dp］p=0<0作为克尔透镜锁模的必要条件。 对于光脉冲的压缩来说, 椭圆形光阑将优于圆形光阑。

By using the nonlinear Schrodinger equation, an analytical treatment for the propagation of the astigmatic beam in a Kerr media is presented. The propagation in a Kerr medium can be calculated by a differential equation of the first order. The formulas are applied to calculate the self-consistent Gaussian mode of an astigmatic resonator used in a Kerr lens mode-locked laser.