Diffraction of electromagnetic waves by gratings with piecewise smooth boundaries

Author

Lipachev, E.K.

Author_Institution

Kazan State Univ., Russia

Volume

1

fYear

1998

fDate

2-5 Jun 1998

Firstpage

174

Abstract

We consider a boundary value problem for the Helmholtz equation that arises in the mathematical modeling of the scattering of a plane electromagnetic wave by infinite perfectly conducting gratings with an arbitrary piecewise-smooth profile of finite size. In the Hilbert space of the square-integrable functions we find the solution of this problem as a potential whose density represents a solution of a weakly singular integral equation

Keywords

Helmholtz equations; Hilbert spaces; boundary-value problems; diffraction gratings; electromagnetic wave diffraction; electromagnetic wave scattering; integral equations; Helmholtz equation; Hilbert space; boundary value problem; electromagnetic wave diffraction; infinite perfectly conducting gratings; mathematical modeling; piecewise smooth boundaries; plane electromagnetic wave; potential density; square-integrable functions; weakly singular integral equation; Boundary value problems; Diffraction gratings; Electromagnetic diffraction; Electromagnetic radiation; Electromagnetic scattering; Geometry; Hilbert space; Integral equations; Mathematical model; Polarization;

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.1998.709713

Filename

709713