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The method of hypersingular integral equations in the problem of electromagnetic wave diffraction by a dielectric body with a partial perfectly conducting coating

  • Alexey V. Setukha EMAIL logo and Elizaveta N. Bezobrazova

Abstract

A problem of scattering of a monochromatic electromagnetic wave by a homogeneous dielectric body is considered. A part of the boundary of the body is a perfectly conducting thin surface. The problem is reduced to a system of the boundary integral equations containing integrals with strong singularity, the integrals are understood in terms of Hadamard final part. A numerical solution scheme is constructed on the base of approximate solution of these equations using the methods of piecewise-constant approximations and collocation. The constructed numerical scheme is tested on a model example.

MSC 2010: 65R20; 78A45; 78M15
  1. Funding: The work was supported by the Russian Science Foundation (project no. 14–11–00806).

References

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Received: 2017-2-6
Accepted: 2017-10-2
Published Online: 2017-12-1
Published in Print: 2017-12-20

© 2017 Walter de Gruyter GmbH, Berlin/Boston

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