Surface wave scattering by a step

Abstract

The Wiener-Hopf technique is used to study the scattering of a surface wave which is incident upon the junction of two semi-infinite planes joined together by a step of height a. Both the planes as well as the step have a normalized surface reactance X, which supports the surface wave. The expression for the scattered field contains a series of unknown constants which require numerical solution. Graphs of the transmission and reflection coeflicients for normalized reactances of 0 . 1 and 0.5 are presented for a step height of less than half a wavelength. 1 H. M. Barlow and J. Brown, Radio Surface Waoes. Oxford: Ox-2 D. S . Jones, ''Diffraction by a thick semi-infinite plate," Proc.

Line source scattering from a step protrusion in a perfect electromagnetic conductor plane

“…Such that γ (0) = k and A(α) is the unknown coefficient to be determined with the aid of boundary conditions (18)(19)(20). Fourier transform of boundary condition (18) yields…”

“…Recently, Ayub et al [16][17][18] studied the line source diffraction phenomenon by a junction, reactive step, and an impedance step. The scattering of surface waves by junction of two semi-infinite planes joined together by a step was first introduced by Johansen [19]. Later, Alinur Buyukaksoy [20,21] treated the same geometry in more general case of plane wave incidence and when the material properties of the half planes and the step are simulated by constant but different surface impedances which was important for predicting the scattering caused by an abrupt change in material as well as in the geometrical properties of a surface.…”

Magnetic Line Source Diffraction by a PEMC Step in Lossy Medium

“…Specially diffraction by a step in a perfectly conducting plane makes a canonical problem for the geometrical theory of diffraction (GTD) analysis of scattering by metallic tapes on paneled compact range reflectors [4]. The scattering of surface waves by the junction of two semi-infinite planes joined together by a step was first introduced by Johansen [5] in the case where both the half planes and the step are characterized by the same surface impedances. This problem is solved by using Wiener-Hopf technique, Green function and steepest descent method.…”

Surface wave scattering by a rectangular impedance cylinder located on a reactive plane

“…In this manner, Johansen [1] has considered the scattering of surface waves by a step which is joining to two semiinÿnite planes having same surface reactance. Mahmoud and Beal [2] has considered a similar problem of a step discontinuity which can be characterized as a dielectric structure.…”

“…The aim of work in this paper is to generalize the analysis reported in Reference [1] to the case that the obstacle on the reactive plane consists of a rectangular impedance cylinder (see Figure 1). The results to be obtained by this analysis will enable us to reveal the e ects 526İ.…”