Transverse magnetic scattering from a composite semielliptic cylinder

Abstract

Abstract. An analytic series solution is developed in this paper for the electromagnetic field scattered by a confocal semielliptic cylinder consisting of dielectric and conductor for a transverse magnetic polarized line source illumination. The scattered field is represented in terms of Mathieu functions with unknown coefficients. By applying appropriate boundary conditions the unknown coefficients are obtained. Some numerical results are shown for mutual interactions between dielectric and conductor with the different eccentricities and permittivities. In this paper, an analytic series solution by a composite semielliptic cylinder composed of a perfect conductor and lossless dielectric material is presented using Mathieu functions and mode-matching technique. An analysis of this problem is useful in that it pertains to a structure containing an edge in a smooth convex body; such structures commonly occur as a part of antenna and scattering geometries which are encountered in practice. The behavior of scattering by a composite semielliptic cylinder is investigated for a line source illumination. FormulationThe problem is formulated with respect to elliptic cylinder coordinates