Volumetric integral equations for non-uniform impurities in the rectangular waveguide

Proceedings of the IEEE - Russia Conference. 1999 High Power Microwave Electronics: Measurements, Identification, Applications. MIA-ME'99 (Cat. No.99EX289) Pub Date : 1999-09-21 DOI:10.1109/MIAME.1999.827835

M. Davidovich, N. F. Popova

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Abstract

Surface Integral Equations (SIEs) and Volumetric Integral Equations (VIEs) are widely used for solutions of electromagnetic boundary problems. The SIEs are convenient because they reduce the dimension of a problem (three-dimensional problems are reduced to two-dimensional SIEs) and allow all boundary and radiating conditions to be satisfied. Both the SIEs with the kernels as single- and double-layered potentials and the VIEs versus the electrical field distribution in the volume of an impurity, are known and have been used. In this paper the VIEs without surface integrals are developed for arbitrary dielectric and magnetic inclusions in the Rectangular Waveguide (RW). The goal of the paper is to elaborate the algorithms for solutions of boundary problems with arbitrary shaped inclusions and with arbitrary tensor permittivities and permeabilities (including bianisotropic ones). The method is based on piece-wise field approximations.

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矩形波导中非均匀杂质的体积积分方程

表面积分方程和体积积分方程被广泛用于求解电磁边界问题。siv是方便的，因为它们减少了问题的维度(三维问题被简化为二维siv)，并允许满足所有的边界和辐射条件。已知并已使用了具有核作为单层和双层电位的si，以及相对于杂质体积中的电场分布的vie。本文建立了矩形波导中任意介电和磁性包涵体的无表面积分vie。本文的目的是阐述具有任意形状内含物和具有任意张量介电常数和渗透率(包括双各向异性)的边界问题的求解算法。该方法基于分段场近似。

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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Proceedings of the IEEE - Russia Conference. 1999 High Power Microwave Electronics: Measurements, Identification, Applications. MIA-ME'99 (Cat. No.99EX289)

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