On the modification of the method of the Riemann-Hilbert problem

Author

Khoroshun, V.V.

Author_Institution

Kharkov State Univ., Ukraine

Volume

2

fYear

1998

fDate

2-5 Jun 1998

Firstpage

772

Abstract

A rigorous solution of the problem the E-polarized plane wave scattering by a strip grating which resides on a planar interface between two dielectrics is given. The set of functional equations containing the “smallness” parameter differing from that of Shestopalov (1971) is used in a mathematical model of the given boundary value problem. As a result, the coefficients of the obtained set of linear algebraic equations of the second kind are expressed in terms of the Legendre polynomials and do not contain the Legendre functions

Keywords

Legendre polynomials; boundary-value problems; diffraction gratings; electromagnetic wave polarisation; electromagnetic wave scattering; functional equations; linear algebra; E-polarized plane wave scattering; Legendre polynomials; Riemann-Hilbert problem; boundary value problem; coefficients; dielectric; functional equations; linear algebraic equations; mathematical model; planar interface; rigorous solution; smallness parameter; strip grating; Boundary value problems; Dielectrics; Diffraction; Electromagnetic scattering; Equations; Gratings; Light scattering; Mathematical model; Polynomials; Strips;

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.1998.709886

Filename

709886