傍轴黎曼几何光学Ⅲ．光束传输的统计行为

Paraxial Riemannian Geometrical OpticsⅢ. Statistical Behaviors of Beam Propagation

利用厄米－高斯展开方法，讨论了傍轴光束传输的统计行为，得到了与传输统计行为等效的高斯光束的传输参数，这些结果可用于傍轴光束传输的几何化描写。

In this paper,by using the Hermite-Gaussian expansion method,we analyse thestatistical propagation behaviors of a Paraxial beam and obtain the propagation parameters ofthe equivalent Gaussian beam which can describe the propagation behaviors of the Paraxialbeam.These results can be used in the geometrical description for the propagation of aperaxial beam.