The Scattering of Electromagnetic Waves By Periodic Magnetodielectric Structures With Arbitrary Profiles and Inhomogeneous Media

Abstract

The scattering of electromagnetic waves by periodic magnetodielectric structures with arbitrary profiles and inhomogeneous distribution of permittivity and permeability over a period is analyzed using rigorous integral equations of macroscopic electrodynamics and partitioning a structure into thin layers. The solution is found for E-polarized and H-polarized plane waves. Numerous examples of the problem solutions are compared with previously published results. Examples of approximation perfectly conducting periodic structures by magnetodielectric structures with the same geometry of a period are given. For illustration of the presented method effectiveness the analysis applies to a grating composed of circular magnetodielectric coaxial cylinders.