Scattering from a Dielectric Cylinder Partially Embedded in a Perfectly Conducting Ground Plane

A rigorous field analysis of the problem of scattering from a dielectric cylinder partially embedded in a perfectly conducting ground plane, and excited by a magnetic or electric line current in the free space outside the dielectric cylinder, is given in this paper. The dielectric medium is assumed to be linear, homogeneous, isotropic, although not necessarily free from losses. A field equivalence theorem is utilized to derive, for each excitation, an integral equation for the equivalent magnetic current on the dielectric interface, which is later solved using Galerkin's method. The equivalent magnetic currents are then used to determine the scattered field everywhere outside and inside the dielectric cylinder. Numerical results for the equivalent magnetic currents and far scattered field patterns are given. The resonances of the partially embedded dielectric cylinder are also defined and computed for both polarizations.