Electromagnetic Scattering by Elliptical Dielectric Cylinder Using the WCIP Method

This paper aims to investigate the distribution of the electromagnetic field near an infinite dielectric elliptical cylinder. The Waves Concept Iterative Process method is formulated in elliptical approach to address electromagnetic problems involving a dielectric elliptical cylinder. The proposed method is based on the introduction of incident and reflected waves tangential to the elliptical surface. These waves are defined by a linear relationship between the electric field and the current density. A spectral reflexion operators relating the incidents waves to reflected ones are developed. The new approach consists in describing the wave relations in both spectral and spatial domains. The toggling between the spatial and spectral domain is ensured by the Discrete Angular Mathieu Transformation and its converse. The wave equations are solved using an iterative process in the presence of the excitation source. As a numerical example, we consider an infinite dielectric cylinder illuminated by a TM plane wave at an oblique incidence. The diffracted electric field is computed on both sides of the cylindrical surface as well as in the surrounding region for various incidence angles. The results obtained confirm the continuity conditions.