TE波时域棱边有限元方法：线磁流辐射与散射分析

摘要

This paper discusses the edge based finite element time domain method for two dimensional TE wave. The weak form solution for boundary problem of electric field vector wave equation is deduced, and the matrix equation of computation domain is obtained via the assembly of the element matrix equation derived by using edge basis function. The assembly process is considered in detail with emphasis of sign function, and the accumulatively fill-in procedure is proposed. Finally the injection of magnetic line current into source vector is also discussed and the edge based element time domain method proposed is exemplified. The example of scattering by lossy medium object is presented as well.%讨论有耗介质TE波时域棱边有限元方法，导出电场矢量波动方程边值问题的弱解形式，应用棱边基函数给出单元矩阵方程，通过组合获得时域全域矩阵方程，详细讨论棱边有限元组合中符号函数的作用和累加填充步骤。给出了激励矢量中线磁流的加入以及棱边有限元的定量验证，分析了线磁流照射下有耗介质物体散射。