Abstract
The present analysis discusses the line source scattering of electromagnetic waves from a step in a perfect electromagnetic conductor plane. The planes and the step have different impedances. The far field is calculated using an integral transform, the Wiener–Hopf (WH) technique, and an asymptotic method of integration. Some graphs showing the effects of various parameters on the scattered field are plotted, compared, and discussed.
Highlights
Poincare and Sommerfeld were seem to be first to investigate the half plane diffraction problem of electromagnetic waves which was formulated as the boundary value problem for Maxwell equations
Keeping in view the importance of the step geometry, line source scattering, and of perfect electromagnetic conductor (PEMC) medium, in this paper, we have studied the problem of line source scattering by a step in perfect electric conductor (PEC) planes to the case of line source scattering of electromagnetic waves by a step in PEMC plane
The scattered field from a step in a PEMC plane due to a line source incidence can be obtained from expression (67) which is: E H
Summary
Poincare and Sommerfeld were seem to be first to investigate the half plane diffraction problem of electromagnetic waves which was formulated as the boundary value problem for Maxwell equations. Semi-analytical, numerical, and combination of both analytical and numerical methods, the Wiener–Hopf (WH) technique [11] is the best available technique to study the scattering of acoustic/electromagnetic/elastic waves from various canonical geometries such as half planes, strips, slits, cylinders, and step protrusions. It is a stepwise sophisticated procedure which is analytical in nature and provides an additional insight to the diffraction phenomenon.
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