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Electric and magnetic combined source integral equations for electromagnetic transmission problems

机译:电磁传输问题的电磁组合源积分方程

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Various combined source integral equation (CSIE) formulations are developed for the analysis of electromagnetic scattering by three-dimensional arbitrarily shaped homogeneous penetrable objects. The considered CSIE formulations include the classical "electric" CSIE proposed by Mautz and Harrington in 1979, and its dual "magnetic" CSIE as well as mixed "electric-magnetic" and "magnetic-electric" CSIE formulations. Novel discretization schemes by utilizing the primary (Rao-Wilton-Glisson, RWG) and the dual (Buffa-Christiansen, BC) functions are applied to convert the integral equations into matrix equations. These schemes avoid the numerical problems that would appear if the CSIE formulations were discretized with the conventional Galerkin method using the RWG functions only.
机译:开发了各种组合源积分方程(CSIE)公式,用于分析三维任意形状的均质可穿透物体的电磁散射。被认为是CSIE的公式包括由Mautz和Harrington在1979年提出的经典“电气” CSIE,以及它的双重“磁性” CSIE以及混合的“电磁”和“磁电” CSIE公式。通过利用主要函数(Rao-Wilton-Glisson,RWG)和对偶函数(Buffa-Christiansen,BC)的新颖离散化方案将积分方程转换为矩阵方程。这些方案避免了仅使用RWG函数通过常规Galerkin方法离散化CSIE公式时出现的数值问题。

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