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二维光子晶体TM波初边值问题的MATLAB矩阵分解算法
引用本文:王忆锋,唐利斌,岳清.二维光子晶体TM波初边值问题的MATLAB矩阵分解算法[J].激光与红外,2010,40(8):887-891.
作者姓名:王忆锋  唐利斌  岳清
作者单位:昆明物理研究所,云南,昆明,650223
摘    要:介绍了求解二维光子晶体TM波初边值问题的一种MATLAB矩阵分解算法,该算法首先利用绝对稳定的古典隐格式差分将TM波表示为矩阵模型,再借助蛙跳采样分离出有关磁场分量和电场分量的矩阵方程,其求解可以通过调用MATLAB矩阵左除命令完成。该方法具有概念简单、使用方便、实用性强等特点。

关 键 词:光子晶体  TM波  麦克斯韦方程  矩阵分解  MATLAB
收稿时间:2010/3/31 0:00:00

MATLAB matrix decomposition algorithm for initial/boundary value problem of two-dimensional photonic crystal
WANG Yi-feng,TANG Li-bin and YUE Qing.MATLAB matrix decomposition algorithm for initial/boundary value problem of two-dimensional photonic crystal[J].Laser & Infrared,2010,40(8):887-891.
Authors:WANG Yi-feng  TANG Li-bin and YUE Qing
Affiliation:Kunming Institute of Physics,Kunming 650223,China;Kunming Institute of Physics,Kunming 650223,China;Kunming Institute of Physics,Kunming 650223,China
Abstract:A MATLAB matrix decomposition algorithm for solving initial/boundary value problem of TM wave in two-dimensional photonic crystal is presented.Firstly,the TM wave is expressed as a matrix model by a classic implicit format difference scheme that is absolutely stable.Secondly,the matrix equations about the magnetic field components and the electric field components can be separated by leap-frogging sampling and their solutions can be obtained with matrix left division command in MATLAB.The algorithm is concise in concept,convenient in operation,universal in application and easy in programming.
Keywords:photonic crystal  TM wave  Maxwell equation  matrix decomposition  MATLAB
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