提出并研究了光束传输领域有待解决的三类基本问题:1)光束质量的定义及实际测量方法比较；2)任意光束经实际光学系统的传输；3)任意实际光束的非线性传输。主要着重于提出解决问题的方法,具体地以高斯随机变量模拟位相畸变,解析地分析了光束质量与位相畸变特征量间的关联；以按空间频谱展开方法,处理任意光束的非线性谐波转换过程。

In this paper we have proposed and studied the following 3 basic problems in beam propagation: 1) defination of beam quality and its measurements; 2) arbitrary beam propagation through real optical systems and 3) nonlinear propagation of real laser beams. Here, we are interested in the methods to solve these problems. We have analytically investigated the beam quality by assuming the phase aberrations as Gaussian random variables.For the nonlinear harmonic conversion of real laser beams, we have developed a theory by applying the spatial spectrum analysis to the nonlinear coupling.