为使激光工作者可以方便地进行谐振腔诸如热透镜、容差等参量的优化分析与设计，研究了激光谐振腔设计软件的算法并在计算机上得到实现.使用ABCD矩阵方法分析激光光束的传输与变换.为使分析和设计更具有一般性和通用性便于计算机编程，考虑矩阵元素均为复数的情况，同时将光束质量因子M2和介质中的光束传输考虑在激光谐振腔模的传输变换当中，这样当矩阵元素虚部都为零，而M2=1和介质折射率为1时，就可以过渡到通常的基模高斯光束在空气中经实元件矩阵传输变换.并以此为基础使用VB在国内成功开发出具有稳定驻波腔、稳定行波腔、非稳驻波腔、非稳行波腔、相位共轭腔、光束传输变换等多种功能的可视化谐振腔软件.

In order to make analysis and design of the parameters of laser resonators easily,laser resonator software arithmetic is studied and realized using computer.ABCD matrix mechanism is used to analyze and design laser resonators.To obtain the generic and universal method,which is used to program,the matrix of all elements is considered as complex matrix.And,beam quality factor M2 and the index of the media are also considered.When the imaginary parts of the complex matrix are zero,and the beam quality factor M2 and media index equal to one,the stated method will be transformed to the usual conditions which are fundamental mode transmitting through real elements in the air.Based on the method of multi-mode transmitting through complex elements in the media,laser resonator software,which can analyze and design stable standing cavity,stable travelling cavity,unstable standing cavity,unstable travelling cavity,phase conjugate cavity and beam transmission,is realized by VB programmed language.