求解电场积分方程的高阶矩量法

Solution of the Electric Field Integral Equation Using Higher-Order Method of Moments

高阶矩量法越来越多地用于求解目标散射问题。该文对高阶矩量法中的若干问题进行了分析。由于高阶矩量法需处理多重数值积分,该文提出了一种把多重数值积分转化为矩阵乘积的方法。对于矩量法阻抗矩阵的填充,每次只需计算积分节点上格林函数的值,大大缩短矩阵填充时间,提高了高阶距量法的效能。对奇异(准奇异)积分的不同处理方法做了总结,并对其优劣做了评价。

The Higher-Order Method of Moments （HO-MoM） is frequently used to calculate the electromagnetic scattering, because of its high efficient and accurate. Several issues are analyzed in this paper for using the HO-MoM. Firstly, multi-dimension numerical integrations calculated again and again, a novel method is presented in this paper to translate integrations to the product of matrices. When the matrix from MoM filled, it is only needed to calculated the Green＇s function at integral nodes. That will reduces CPU time and increase the efficiency of HO-MoM. Secondly, the different methods, used to treat with singular integral or quasi-singular integral, is summarized and estimated.