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。 Based on the nonlinear Schrödinger equation, the general properties of the beam propagating perpendicularly to the propagation direction in Kerr medium with astigmatism are obtained by rigorous calculations. The calculation method used can be applied to Gaussian beam and Kerr lens lock Cavity research, and can calculate the high power situation. The research shows that it is not necessary to use [dω / dp] p = 0 <0 as the necessary condition for Kerr lens mode-locking under other mode-locking mechanisms. For the compression of the light pulse, the oval diaphragm will be superior to the circular diaphragm.