Study of scattering from a PEC strip placed at the planar interface of NID dielectric and dielectric-magnetic medium using the KP method

Abstract

Mathematical expressions for electromagnetic scattering from a Perfect electric conductor strip positioned at the planar non-integer dimension (NID) dielectric- magnetic interface are determined by using the Kobayashi potential (KP) method. The Lorentz-Drude model is used to include dispersion and losses in both permeability and permittivity of the dielectric- magnetic medium. Based on the KP method, the unknown scattered fields are presumed in terms of the spectrum with an undetermined weighting function. By imposing the appropriate boundary conditions, the dual integral equations for undetermined weighting functions obtained, the integrals are further solved by utilizing the property of Weber-Schafheitilin integrals. Then, using the orthogonal properties of Jacobi polynomials, the set of matrix equations satisfying the WSIs along with edge boundary conditions are obtained. This set of equations is solved numerically to find the undetermined expansion coefficients. Far-field expressions are studied to note the impact of the NID parameter on the scattered field. Based on the operating frequency, dielectric-magnetic medium behaves as double positive/mu negative/double negative/epsilon negative. It is studied that how the type of medium for lower half-space along with the presence of NID medium in upper half-space affects scattering characteristics of the strip.