电子科技大学电子工程学院,四川,成都,610054
纸质出版:2005
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赵延文, 聂在平, 徐建华, 等. 基于RWG基函数的伽略金法中奇异性积分 的精确快速计算[J]. 电子学报, 2005,33(6):1019-1023.
ZHAO Yan-wen, NIE Zai-ping, XU Jian-hua, et al. Accurate and Efficient Calculation of Singular Integrals in Galerkin Method with RWG Basis Functions[J]. Acta Electronica Sinica, 2005, 33(6): 1019-1023.
利用电磁场积分方程的伽略金法求解理想导体电磁散射问题时需要计算奇异性的二重面积分(即4维积分).伽略金法的基函数和检验函数广泛采用RWG(Rao-Wilton-Glisson)矢量基函数.传统上采用奇异值提取技术和Duffy坐标变换法处理该奇异性积分
本文提出了一种更为精确和高效的计算方法
该新方法通过参数坐标变换、相对坐标变换、积分区域分解和广义Duffy坐标变换相结合的技术消除了被积函数的奇异性并降低了原4维奇异性积分的数值积分维数.通过计算实例证明该方法的精确性和高收敛特性.
The Galerkin's method solution of electromagnetic field integral equations for electromagnetic scattering problems of perfectly conducting object requires calculation of singular double surface integrals.The RWG(Rao-Wilton-Glisson) vector basis functions are usually applied as basis functions and testing functions.The singularity extraction technique and Duffy coordinate transformations have been traditionally used to treat these singular integrals.A more accurate and efficient method are presented.This new method removes the singularity in the integrand and allows the reduction in dimensionality of original 4-dimensional integrations by using combination of parametric coordinates
relative coordinates
domain decomposition and general Duffy coordinate transformations.The accuracy and good convergence properties of the new method are demonstrated by some numerical examples.
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