Wiener-Hopf Analysis of the Diffraction by an Impedance Wedge: The Case of E Polarization

Michinari SHIMODA
Ryuichi IWAKI
Masazumi MIYOSHI
Toyonori MATSUDA

Publication
IEICE TRANSACTIONS on Electronics   Vol.E84-C    No.7    pp.994-1001
Publication Date: 2001/07/01
Online ISSN: 
DOI: 
Print ISSN: 0916-8516
Type of Manuscript: PAPER
Category: Electromagnetic Theory
Keyword: 
electromagnetic wave,  scattering problem,  impedance wedge,  surface wave,  Wiener-Hopf technique,  

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Summary: 
The diffraction of a plane electromagnetic wave by an impedance wedge whose boundary is described in terms of the skew coordinate systems is treated by using the Wiener-Hopf technique. The problem is formulated in terms of the simultaneous Wiener-Hopf equations, which are then solved by using a factorization and decomposition procedure and introducing appropriate functions to satisfy the edge condition. The exact solution is expressed through the Maliuzhinets functions. By deforming the integration path of the Fourier inverse transform, which expresses the scattered field, the expressions of the reflected field, diffracted field and the surface wave are obtained. The numerical examples for these fields are given and the characteristics of the surface wave are discussed.