This article presents new analytical formulas for the efficient computation of the full-wave electric field generated by conductive, dielectric, and magnetic media in the framework of the partial element equivalent circuit (PEEC) method. To this aim, the full-wave Green’s function is handled by the Taylor series expansion leading to three types of integrals for which new analytical formulas are provided in order to avoid slower numerical integration. An orthogonal (Manhattan type) tessellation of the geometries is assumed, and the electrical quantities, i.e., currents, charges, and magnetization, are expanded in space through rectangular basis functions. The full-wave electric field radiated by charges, currents, and magnetization is computed analytically in the postprocessing step. The proposed closed-form computation of the electric field is tested using two examples, comparing the results obtained by the derived analytical formulas with the results from a finite element method solver.

中文翻译：

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使用延迟格林函数的泰勒级数展开的部分元等效电路法中电场的全波计算

本文提出了新的分析公式，用于在部分元件等效电路 (PEEC) 方法的框架内有效计算由导电介质、电介质和磁性介质产生的全波电场。为此，全波格林函数由泰勒级数展开处理，导致三种类型的积分，为其提供新的解析公式以避免较慢的数值积分。假定几何的正交（曼哈顿型）镶嵌，并且电量，即电流、电荷和磁化，通过矩形基函数在空间中扩展。由电荷、电流和磁化辐射的全波电场在后处理步骤中进行分析计算。