Method of generalized eikonal and new 2-D scattering analytical solutions

Author

Vesnik, Michael V.

Author_Institution

Inst. of Radio Eng. & Electron., Russian Acad. of Sci., Moscow, Russia

Volume

1

fYear

2003

fDate

9-12 Sept. 2003

Firstpage

149

Abstract

A method for analytical solving of 2-D diffraction problems was introduced in previous studies. In this paper, the main features of the final version of the method are formulated. The purpose of the method is to solve 2-D Helmholtz equation boundary value problem for perfectly conducting scatterers of arbitrary shape. The key point of the method lies in the usage of integral representations received for special generalized "eikonal function" satisfying Laplace equation in one region (supplementary region) as a solution in another region (main region) of the boundary value problem for the Helmholtz equation with a variable wavenumber.

Keywords

Helmholtz equations; Laplace equations; boundary-value problems; electromagnetic wave diffraction; electromagnetic wave scattering; 2D Helmholtz equation; 2D diffraction problems; 2D scattering analytical solutions; Laplace equation; boundary value problem; generalized eikonal; integral representations; main region; perfectly conducting scatterers; supplementary region; variable wavenumber; Boundary value problems; Diffraction; Integral equations; Laplace equations; Magnetic analysis; Scattering; Shape; Wave functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Antenna Theory and Techniques, 2003. 4th International Conference on

Print_ISBN

0-7803-7881-4

Type

conf

DOI

10.1109/ICATT.2003.1239171

Filename

1239171