TM Scattering From a Dielectric Biconvex Cylinder Loading a Shallow Circular Gap in a Perfectly Conducting Plane

A series solution for TM scattering from a dielectric biconvex cylinder, which is formed by a semicircle and a portion of circular arc, buried in a shallow circular gap of a perfectly conducting plane is derived in this paper. The electric fields of biconvex cylinder region and its outer semi-unbounded region are represented in terms of an infinite series of cylindrical waves with unknown coefficients respectively. By employing Graf´s addition theorem and matching the boundary conditions, the unknown coefficients are determined. The comparisons with available data in the literature point out a good agreement for the circular cylinder case. Some plotted results for the backscattering width and far-field radiation pattern reveal how the scattering properties have influenced by varying the depth-to-half-width ratio of the dielectric biconvex cylinder.