Elliptical Approach of the Wave Concept Iterative Method for Electromagnetic Scattering by Inhomogeneous Multilayer Cylindrical Structure

ABSTRACT This study introduces a new formulation of the Wave Concept Iterative Process (WCIP) method in elliptic coordinates to analyze electromagnetic scattering from an infinitely long, inhomogeneous, multilayered elliptical cylinder. The foundation of this approach lies in the definition of emitted and reflected waves at the interfaces of dissimilar media, utilizing the tangential components of the electric field and current density. The unknown waves resolved from a set of two equations. The first equation, formulated in the spectral domain, characterizes the response of the environment around the structure. The second equation guarantees the continuity of the electromagnetic fields and enforces boundary conditions at the interfaces that separate different regions. The system of equations is resolved by an iterative process where a discrete angular Mathieu Transformation Algorithm is introduced to toggling between the spatial and the modal domain. The proposed approach is suitably implemented in a specific computational code to achieve a numerical solution. Some numerical results are presented, involving a structure composed of metallic strips positioned at the interfaces of four elliptical dielectric layers, which is illuminated by a transverse magnetic (TM) plane wave at an oblique angle of incidence. The result is in agreement with those published in the literature.