Regularization method for a class of dual series equations in diffraction theory

Author

Brovenko, Andrey V. ; Poyedinchuk, Anatoly Ye

Author_Institution

Inst. of Radiophys. & Electron., Acad. of Sci., Kharkov, Ukraine

Volume

2

fYear

1998

fDate

2-5 Jun 1998

Firstpage

775

Abstract

The paper is devoted to the development of a regularization technique for a class of dual series equations which appear in 2D problems of the wave diffraction on metal screens located at the interface between anisotropic dielectric media, some contact problems in the theory of elasticity, etc. An idea of equivalent reformulation of these equations in terms of the conjugation problem of analytic functions, which is the Riemann-Hilbert problem for an unclosed contour forms the basis of the suggested method of regularization

Keywords

electromagnetic wave diffraction; integral equations; series (mathematics); 2D problems; EM wave diffraction; Riemann-Hilbert problem; analytic functions; anisotropic dielectric media interface; conjugation problem; contact problems; diffraction theory; dual series equations; elasticity; metal screens; regularization method; singular integral equations; unclosed contour; Anisotropic magnetoresistance; Dielectrics; Diffraction; Elasticity; Electromagnetic analysis; Equations; Fourier series; Virtual manufacturing;

fLanguage

English

Publisher

ieee

Conference_Titel

Mathematical Methods in Electromagnetic Theory, 1998. MMET 98. 1998 International Conference on

Conference_Location

Kharkov

Print_ISBN

0-7803-4360-3

Type

conf

DOI

10.1109/MMET.1998.709887

Filename

709887