有源腔模式的有限元数值矩阵计算法  

Numerical Matrix Method for Calculation of Resonator Mode

作　　者：雍富强[1] 王又青[1] 

机构地区：[1]华中科技大学激光技术国家重点实验室,武汉430074

出　　处：《光学与光电技术》2005年第5期40-42,共3页Optics & Optoelectronic Technology

摘　　要：提出了一种计算有源腔模式分布的有限元数值矩阵方法。对腔镜进行基于菲涅耳–基尔霍夫衍射积分定理的有限元划分,利用MATLAB计算出光一次往返的传输矩阵。然后根据自再现理论,求出矩阵的特征值和特征向量。从而确定谐振腔的模式分布,给新型谐振腔的研究带来极大方便。A numerical matrix method for calculation of optical resonator modes with media inside is proposed. The transmission matrix of an optical resonator is obtained by dividing the mirror into finite grids based on Fresnel-Kirchoff diffractive integral equation. Then according to self-recurrence method, eigenvalues and eigenvectors, can be calculated by solving the transmission matrix, which define the distribution of modes of optical resonator. This method will greatly benefit the research of new resonators.

关 键 词：特征值法 传输矩阵 有限元 谐振腔模式 

分 类 号：TN248.4[电子电信—物理电子学]