Diffraction at a Wedge with One Face Electric and the Other Face Magnetic: Exact and Asymptotic Solutions of the Wave and Parabolic Equations

Author

Ufimtsev, P.Ya.

Author_Institution

EM Consulting, Los Angeles, CA, USA

Volume

55

Issue

5

fYear

2013

fDate

Oct. 2013

Firstpage

63

Lastpage

73

Abstract

The wedge-diffraction problem is formulated in two ways: with the Helmholtz elliptic equation and the Leontovich parabolic equation. The wedge faces have different electromagnetic properties. One face is electric (with infinite electric conductivity), while the other is magnetic (with infinite magnetic conductivity). Exact and asymptotic solutions of these two equations are derived, analyzed, and compared. It is shown that the parabolic equation provides a correct high-frequency approximation for the diffracted field.

Keywords

Helmholtz equations; electromagnetic wave diffraction; parabolic equations; Helmholtz elliptic equation; Leontovich parabolic equation; electric conductivity; electromagnetic properties; high-frequency approximation; magnetic conductivity; wedge diffraction; Boundary conditions; Diffraction; Elliptic design; Magnetic separation; Magnetoacoustic effects; Mathematical model; Wedge diffraction; Acoustic diffraction; asymptotic approximation; diffraction; electromagnetic diffraction; elliptic equation; hard surface; impedance wedge; parabolic equation; physical theory of diffraction; soft surface; transverse wave diffusion; wave equation; wedge diffraction;

fLanguage

English

Journal_Title

Antennas and Propagation Magazine, IEEE

Publisher

ieee

ISSN

1045-9243

Type

jour

DOI

10.1109/MAP.2013.6735475

Filename

6735475