2000•Geophysics and Geophysical ExplorationRequires access

Singular Cell Integral of Green's tensor in Integral Equation EM Modeling

Yoonho Song, Chung Seung-Hwan

Abstract

We describe the concept of the singularity in the integral equation of electromagnetic (EM) modeling in comparison with that in the integral representation of electric fields in EM theory, which would clarify the singular integral problems of the Green's tensor. We have also derived and classified the singular integrals of the Green's tensors in 3-D, 2.5-D and 2-D as well as in the thin sheet integral equations of the EM scattering problem, which have the most important effect on the accuracy of the numerical solution of the problems.

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Key concepts: Integral equation, Singular integral, Electric-field integral equation, Mathematics, Singularity, Mathematical analysis, Volume integral, Tensor (intrinsic definition)