A Fast Semianalytical Solution of a 2-D Dielectric-Filled and Coated Rectangular Groove

The Kobayashi potential (KP) method is a fast and powerful semianalytical technique which can be used to find the scattered field of canonical objects. In this paper, the KP method is used to study the electromagnetic scattering from a 2-D loaded groove in a ground plane coated by a dielectric layer for transverse-electric and transverse-magnetic polarizations. Initially, the problem is solved for the electromagnetic fields in the dielectric layer. Then, the field contribution from the groove is expressed in terms of Bessel eigenfunctions in air, dielectric layer, and the groove. After applying the KP method and by using the Weber-Schafheitlin discontinuous integrals, the governing equations of infinite summations with unknown coefficients are obtained. The summations are effectively truncated with high numerical accuracy. Subsequently, boundary conditions are applied to determine the unknown coefficients. The finite-element method and convergence analysis are used for validation. Finally, the influence of the lossy coating dielectric layer and filling material on the scattered field is investigated.