激光技术2016，Vol.40Issue(5)：619-624,6.DOI:10.7510/jgjs.issn.1001-3806.2016.05.001
谐振腔模式的特征向量法快速计算分析
Analysis of fast calculation about eigenvector method of laser resonator modes
摘要
Abstract
When eigenvector method was used to perform numerical simulation on laser resonator with big Fresnel number , the calculation efficiency was low by using trapezoidal integral method .In order to solve the problem , the minimum sampling numbers for numerical simulation were determined by analyzing the space-bandwidth product of resonator ’ s output mode and Gaussian quadrature was used to calculate the transmission matrix .This method not only ensured the calculation accuracy of chirp function but also reduced the transmission matrix size .Through numerical simulation of plane-concave resonator with square mirrors which Fresnel number is 10,the results show that, transmission matrix size of trapezoidal integration is 10000 ×10000 and computation time of laser resonator modes is 412.47s.Transmission matrix size of Gaussian quadrature is 3600 ×3600 and computation time is 51.34s.These results indicate that the new method greatly improves computational efficiency of eigenvector method and reduces the consumption of computer memory at the same time .关键词
激光器/特征向量法/高斯积分/大菲涅耳数Key words
lasers/eigenvector method/Gaussian quadrature/big Fresnel number分类
信息技术与安全科学引用本文复制引用
王炜,肖瑜,唐霞辉,秦应雄,吴超,王振..谐振腔模式的特征向量法快速计算分析[J].激光技术,2016,40(5):619-624,6.基金项目
湖北省重大科技创新计划资助项目 （）
