二维介质散射的T矩阵方法与解析解的一致性分析

摘要

基于H波入射,根据二维介质散射的边界条件,利用二维格林函数的展开式和消光定理,求得T矩阵方法构造方程式；在此基础上,对T矩阵方法的极限问题进行了系统的分析,即当散射体的边界趋于理想圆柱边界时,T矩阵方法实现了由数值解到经典解析解的极限过渡。%The unitary problem between numerical solutions and the analytic solutions is an important issue to value whether or not the physical nature and structure of a numerical method are reasonable in computational electromagnetics. This paper presents the structure functions of T-matrix method based on H-wave incident, boundary conditions of 2D dielectric scattering, and 2D Green’s function and extinction theorem. The full analysis of T-matrix’s limitation problem shows that when the boundary of a dielectric is limited to the cylindrical one, the limitation transition from the T-matrix solutions to classical ones is obtained.