The numerical method of scalar scattering problem solution

Author

Ovsyannikov, Oleg I.

Author_Institution

Karpenko Physico-Mech. Inst., Nat. Acad. of Sci., Lviv, Ukraine

fYear

1996

fDate

10-13 Sep 1996

Firstpage

121

Lastpage

124

Abstract

The author considers a scatterer as an infinitely thin shell with a finite disclosed surface. He aims to find the solution of a three-dimensional Helmholtz equation: of Dirichlet type on the surface; of Meixner type near the scatterers´ ribs; and of Sommerfeld type when excluding waves propagated from infinity (except the exciting one). He proposes a new approach to the solution of the initial problem on the basis of a three-dimensional integral equation, which is especially effective for resonance and short wave ranges

Keywords

Helmholtz equations; electromagnetic wave scattering; initial value problems; integral equations; Dirichlet condition; Meixner condition; Sommerfeld condition; finite disclosed surface; infinitely thin shell; initial problem; numerical method; resonance; scalar scattering problem solution; short wave ranges; three-dimensional Helmholtz equation; three-dimensional integral equation; Diffraction; Frequency; H infinity control; Integral equations; Kernel; Polynomials; Resonance; Ribs; Scattering; Surface waves;

fLanguage

English

Publisher

ieee

Conference_Titel

Mathematical Methods in Electromagnetic Theory, 1996., 6th International Conference on

Conference_Location

Lviv

Print_ISBN

0-7803-3291-1

Type

conf

DOI

10.1109/MMET.1996.565658

Filename

565658