从一道习题出发论高斯光束

A Deep Discussion on Gaussian Beam through Solving a Problem

本文介绍了《激光原理》教材中第二章一道习题的7种求解方法。通过分析这些求解方法可以看出:对于一般稳定球面腔,既可以借助其等价的对称共焦腔来讨论高斯光束,也可以脱离对称共焦腔,直接在一般稳定球面腔和高斯光束之间建立联系。这有助于我们对高斯光束的自再现变换与稳定球面腔关系的深入理解,并进一步领会:以高斯光束的基本性质及其传输规律为基础,就可以建立起稳定腔的模式理论。

In this paper,7 kinds solution of a problem in Chapter Two of the textbook-Principles of Lasers are introduced in detail. Through analyzing these solutions,it can be concluded that for a general stable cavity we can discuss a Gaussian beam within it through its equivalent symmetrical confocal cavity,or we can establish a link between the cavity and a Gaussian beam directly by abandoning the equivalent symmetrical confocal cavity. It is helpful for deep understanding the link between a self-producing transformation of a Gaussian beam and a general stable cavity. Further understanding can also be made that people can establish a mode theory logically about a general stable cavity based on Gaussian beam＇s basic laws of nature and propagation rule.