Wave propagation in a bifurcated impedance-lined cylindrical waveguide

The radiation of a cylindrical-surface-wave mode which propagates towards the mouth of a semi- infinite cylindrical waveguide which supports surface waves is considered. This semi-infinite cylindrical waveguide is symmetrically located inside an infinite cylindrical waveguide whose surfaces are lined with an absorbent material. The whole system constitutes a new bifurcated cylindrical-waveguide boundary-value problem that has application in acoustics and electromagnetism. The mathematical model results in a scalar Wiener–Hopf problem which can be rigorously solved to give a closed-form solutio

Diffraction coefficient for a half-plane with anisotropic conductivity

The diffraction of obliquely incident plane waves by a half-plane having anisotropic conductivity is investigated. The half-plane is assumed to be perfectly conducting in one direction and to have finite conductivity in the transverse direction. The material of the half-plane is simulated by a resistive-type boundary condition with the resistivity being a constant tensor. By using the Fourier transform technique, the problem is formulated into a pair of simultaneous Wiener-Hopf equations which are decoupled by means of a polynomial transformation and then solved by standard techniques. © IEE, 1996

Diffraction of TE waves by a metallic cap located on a dielectric sphere: Ring source excitation outside the sphere

Diffraction effects of a metallic cap located on a dielectric sphere on the propagation of high-frequency electromagnetic waves is investigated. The incident wave is supposed to be generated by a ring source located symmetrically with respect to the cap. Relying upon the locality principle of the GTD, the rigorous asymptotic solution is obtained by formulating the boundary-value problem in an abstract space in which the azimuth angle ? varies in the range ? ? (-?, ?). The application of an integral transform with kernel Q -1 v-1/2 (cos ?), having similar analytical properties with Fourier integral transform, yields a scalar Hilbert problem which can be solved asymptotically for |kr| » 1 and then, edge and surface diffraction coefficients are obtained. © 1998 Elsevier science B.V. All rights reserved