Method of hypersingular integral equations in a three-dimensional problem of diffraction of electromagnetic waves on a piecewise homogeneous dielectric body

被引：9

作者：

Zakharov, E. V. ^{[1
]}

Setukha, A. V. ^{[1
]}

Bezobrazova, E. N. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow, Russia

来源：

DIFFERENTIAL EQUATIONS | 2015年 / 51卷 / 09期

基金：

俄罗斯基础研究基金会;

关键词：

NUMERICAL-SOLUTION; SURFACES;

D O I：

10.1134/S0012266115090098

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The problem of electromagnetic diffraction in a piecewise homogeneous medium that can consist of domains with different dielectric properties and can contain ideally conducting inclusions in the form of solid objects and screens is reduced to a system of integral equations with hypersingular integrals over surfaces separating the media with different dielectric properties. We prove the equivalence of the resulting system of integral equations and the original boundary value problem. We construct a numerical scheme for the solution of related integral equations based on methods of piecewise constant approximations and collocations; this scheme can be used on surfaces of fairly arbitrary form.

引用

页码：1197 / 1210

页数：14

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