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arXiv math-ph/0509012math-phmath.MP
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双各向同性介质中线源对理想导电半平面衍射的渐近分析

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

Wasiq Hussain

摘要:

本文研究均匀双各向同性介质中电磁波对理想导电半平面的衍射问题。Asghar,S.和Lakhtakia,A.,(1994),平面波在均匀双各向同性介质中通过完美导电半平面的衍射。Int. J Appl. Electromagnetics in Materials,5,(1994),181-188.本文主要研究线源产生的波。目的是研究半平面边界对电磁波的散射,从而为线源衍射的渐近性提供理论框架。在远场近似下,线源入射的波表现为平面波。利用傅里叶变换和Wiener-Hopf方法计算了散射场。利用围道积分法确定远区散射场。

英文摘要:

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.

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