Plane wave scattering by N dielectric coated conducting strips

Abstract

A plane electromagnetic wave scattered by two dielectric coated conducting strips is addressed here. Two methods of solutions are introduced. The first is based on solving the Helmholtez wave equation in terms of elliptical coordinates. As a result a Fourier series of radial and angular Mathieu functions of unknown coefficients in each region is obtained. The unknown coefficients can be obtained by enforcing the boundary conditions. The application of the boundary condition requires the use of the addition theorem of Mathieu function. The second method is based on an asymptotic approximate technique introduced by Karp and Russek for solving scattering by wide slit. Numerical examples are calculated using both methods and they are compared with each other. Excellent agreement between both cases is found.

Recent Contributions in Antennas and Propagation from Saudi Universities [Antennas and Propagation Around the World]

“…A new technique for a plane electro magnetic wave scattered by an arbitrary-cross-section con ducting cylinder was also introduced. This technique is based on simulating the arbitrary cylindrical cross section by N nar row strips, for which a semianalytical solution was carried out [34,35].…”

Shielding Effectiveness of a Closed Cylindrical Surface Simulated by N Dielectric Coated Conducting Strips

“…Fields outside the cylindrical surface are represented in terms of infinite series of Mathieu functions [15]. Multiple interactions of electromagnetic waves among the dielectric coated conducting cylinders are considered [16,17]. The shielding effectiveness is then calculated at a far point as the ratio between the far fields of a line source in the presence of the simulated surface and in the absence of the surface.…”