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本文发展了一种矩形空心介质波导激光腔的理论分析方法并给出其数值计算结果。这种方法采用多模近似理论,并以一个变换矩阵来表示腔内复杂的传输过程,使复杂的谐振腔模的特性得以简单而准确的描述。 通过对CO_2波导激光腔典型结构的计算,着重讨论了波导入口光斑尺寸对耦合效率的影响,球面反射镜参数与腔模特性的关系,最低损耗模的模式组成与模式选择性,平镜腔的近区特性以及波导结构、介质材料光学常数对腔模损耗特性的影响等;并对其中某些问题提出一些新的见解,为波导激光器的研究和设计提供了一系列有益的数据和结论。
In this paper, a theoretical analysis method of a rectangular hollow dielectric waveguide laser cavity is developed and its numerical results are given. This method uses the multimode approximation theory, and uses a transformation matrix to represent the complicated transmission process in the cavity, so that the characteristics of complex cavity modes can be simply and accurately described. Through the calculation of the typical structure of the CO_2 waveguide laser cavity, the effect of the entrance spot size of the waveguide on the coupling efficiency, the relationship between the parameters of the spherical mirror and the cavity mode characteristics, the mode composition and mode selectivity of the lowest loss mode, Near-area characteristics and the effects of waveguide structure and optical constants of dielectric materials on the cavity mode loss characteristics. Some new problems are put forward and some useful data and conclusions are provided for the research and design of waveguide lasers.