A Simple Approximation of the Maliuzhinets Function for Describing Wedge Diffraction

Author

Osipov, Andrey V.

Author_Institution

German Aerosp. Center, Microwaves & Radar Inst., Wessling, Germany

Volume

53

Issue

8

fYear

2005

Firstpage

2773

Lastpage

2776

Abstract

A new approximation of the Maliuzhinets function $\\psi_\\Phi (\\alpha )$ by a single cosine function is proposed. This is the simplest approximation of the function available in the literature. The use of the cosine approximation permits representing fields scattered by nonmetallic wedges in terms of elementary functions only. The accuracy of the approximation, as applied to the case of an impedance wedge under normal illumination, is estimated both analytically and numerically.

Keywords

approximation theory; difference equations; electric impedance; electromagnetic wave scattering; geometrical theory of diffraction; physical theory of diffraction; GTD; Maliuzhinets function approximation; cosine function; difference equation; electric impedance; electromagnetic scattering; elementary function; field representation; geometrical theory of diffraction; nonmetallic wedge scattering; physical theory of diffraction; wedge diffraction; Computational modeling; Dielectric materials; Difference equations; Electromagnetic diffraction; Electromagnetic scattering; Impedance; Lighting; Physical theory of diffraction; Radar cross section; Vehicles; Approximation methods; difference equations; electromagnetic diffraction; electromagnetic scattering; functions; geometrical theory of diffraction (GTD); impedance; physical theory of diffraction; wedges;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2005.851795

Filename

1492633