二维磁场积分方程奇异点处理的有效方法  

Effective approach to deal with the singularity of two dimensional magnetic field integral equation

作　　者：汪玲[1] 黄志祥[1] 

机构地区：[1]安徽大学计算智能与信号处理教育部重点实验室,安徽合肥230039

出　　处：《安徽大学学报（自然科学版）》2011年第3期66-70,共5页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10871001);安徽大学青年科研基金资助项目(2009QN011A)

摘　　要：基于积分方程的矩量法求解电磁散射问题需要奇异积分计算,而且奇异阻抗矩阵的计算是影响矩量法计算精度的重要因素之一.论文将基于二维磁场积分方程的脉冲函数作为基函数、δ函数作为检验函数,对奇异矩阵元素的计算进行特别处理,将对角元素的计算分为两个子部分,每个子部分的贡献采用非奇异传统方法计算,于是对角元素的值为奇异值与两个子部分的贡献之和.数值结果表明:该方法用于曲线散射体求解具有有效性和正确性.The method of moment（MOM） solution of integral equation for electromagnetic scattering problems requires calculation of singular integrals,and the calculation of singular matrix element is one of the most important factors that affect the accuracy of method of moment.In this paper,special consideration is presented to evaluate the singular impedance matrix element of the two dimensional magnetic field integral equation（MFIE） with pulse function as basis function and δ function as testing function.The interval is divided into two subintervals,and the calculation of every subinterval is obtained by non-singular traditional method,therefore,the total value of singular matrix element is sum of singular value and two subinterval contribution.The numerical results have demonstrated that accuracy and efficiency are improved by present method for curved scattering body.

关 键 词：矩量法 磁场积分方程 奇异性 

分 类 号：TN911.2[电子电信—通信与信息系统]