Asymptotic analysis of a line source diffraction by a perfectly conducting half-plane in a bi-isotropic medium

TL;DR

This paper analyzes the asymptotic diffraction of electromagnetic waves from a line source by a perfectly conducting half-plane in a bi-isotropic medium, using Fourier and Wiener-Hopf techniques to derive far-field scattering behavior.

Contribution

It provides a theoretical framework for line source diffraction in bi-isotropic media, extending previous plane wave analysis to line sources with asymptotic solutions.

Findings

Far-field wave from line source approximates a plane wave.

Scattered field computed using Fourier and Wiener-Hopf methods.

Asymptotic analysis elucidates wave behavior at large distances.

Abstract

This paper is concerned with the diffraction of an electromagnetic wave by a perfectly conducting half-plane in a homogeneous bi-isotropic medium (asymptotically). Similar analysis in a source-free field is done in Asghar,S. and Lakhtakia, A., (1994), Plane-wave diffraction by a perfectly conducting half-plane in a homogeneous bi-isotropic medium. Int. J Appl. Electromagnetics in materials,5,(1994), 181-188. In this paper attention is focused on the wave coming from a line source. The objective is to study the scattering of an electromagnetic wave from the boundary of a half-plane and thereby to provide a theoretical framework for the line source diffraction asymptotically. In far field approximation it is shown that an incident wave coming from a line source behaves like a plane wave. The scattered field is calculated by using the Fourier transform and the Wiener-Hopf techniques. The scattered field in the far zone is determined by using contour integration.