有限元矩阵的激光谐振腔模式分析

摘要

为了研究激光谐振腔的模式分布，采用基于有限元矩阵的分析方法，对圆形镜谐振腔进行了计算分析，并验证了该方法的可行性和有效性。在此基础上，对腔镜单元的合理划分进行了研究。通过拟合相对误差与单元格划分精细程度的关系求出合理单元格数，进行了实例计算和分析，结果符合较好。结果表明，该方法使激光谐振腔模式的分析更加精确和方便。%In order to study the mode distribution in a laser resonator , a circular mirror resonator was analyzed based on finite element matrix and the feasibility and effectiveness of this method was verified .On the basis of the study , the rational division of the cavity mirror was studied .After fitting the relationship between the relative error and the fine extent of division elements , the reasonable number of elements was obtained .The results conformed with the actual calculation and analysis well .The results show that this method makes the mode analysis of a laser resonator more accurately and conveniently .