三维矢量散射积分方程中奇异性的分析  

Singularity Analysis of the Integral Equation for Three Dimension Vector Fields Scattering

作　　者：王浩刚[1] 聂在平[1] 

机构地区：[1]电子科技大学微波工程系,成都610054

出　　处：《电子学报》1999年第12期68-71,共4页Acta Electronica Sinica

基　　金：国家自然科学基金!69871004

摘　　要：本文研究了电场积分方程（EFIE）中被积函数奇异性的处理方法，特别是三维矢量散射分析中出现的高阶奇异性，给出了两种解决积分方程奇异性的数值方法．一种方法是计算O（1/R）阶奇异积分的奇异转移法[1].另一种方法是为解决O（1/R2）高阶奇异积分的数值计算问题的，它是通过排除一包含奇点的有限小块，而这一小块区域对积分的贡献为零。In this paper, the singularity in the integrand of electrical field integral equation (EFIE) for 3-dimensionalvector fields scattering is first analyzed. Two numerical metods for solving the singularity integral equation are developed.One method is the singularity transferring method for calculating integral value containing O(1/R) singularity in its integrand[1];. The other singularity is removed first and the integral contribution of this small area is proved to be zero. Thus, theintegral on the whole integral area can be calculated properly by using numberical method.

关 键 词：矢量散射 电场 积分方程 奇异性 

分 类 号：O241[理学—计算数学]