Alternative formulation of the electric field in a stratified medium applied with a mixed spectral-spatial coupling calculation for integral equation modelling of vertical current sheets

M. Vrancken, G. Vandenbosch
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Abstract

Integral equation modelling of electromagnetic radiation and interference phenomena in planar circuits and antennas offers exact solutions usually at the cost of excessive computation time, especially when arbitrary 3D conducting surfaces are involved. However, for most of these problems, the geometry can be restricted to the 2.5D case, that is, only horizontal (parallel to layer structure) and vertical conducting surfaces (normal to the dielectric layers) are present. This paper reports progress in the full wave analysis of these structures. An alternative but generally valid form for the electric field in the stratified medium is presented. For the 2.5D geometry, but modelling all current components, the availability of analytical expressions for the Green's functions in the spectral domain is then exploited to perform a mixed spectral and spatial calculation of the matrix elements required to solve the integral equation. An overall reduction of computation time is hereby envisaged. Numerical results of actual 2.5D structures are provided.
分层介质中电场的替代公式应用于垂直电流片积分方程建模的混合光谱-空间耦合计算
平面电路和天线中的电磁辐射和干扰现象的积分方程建模通常以过多的计算时间为代价提供精确的解,特别是当涉及任意三维导电表面时。然而,对于大多数这些问题,几何结构可以限制在2.5D情况下,也就是说,只有水平(平行于层结构)和垂直导电表面(垂直于介电层)存在。本文报道了这些结构的全波分析的进展。提出了层状介质中电场的另一种但通常有效的形式。对于2.5D几何,但建模所有当前组件,然后利用格林函数在谱域的解析表达式的可用性来执行求解积分方程所需的矩阵元素的混合光谱和空间计算。因此设想全面减少计算时间。给出了实际2.5维结构的数值计算结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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