Electric dyadic green's function for unbounded gyromagnetic medium

Abstract

Propagation and radiation of electromagnetic waves in anisotropic media are problems of great interest from both theoretical and practical points of view. For the problems of radiation and scattering from sources embedded in stratified media, one of the most powerful and elegant analyzing tools is the dyadic Green's function (DGF) technique. Many researchers have determined and utilized the DGF for planarly multi-layered media. Some of the methods used to find Green's functions for the multi-layered problems include Fourier-transform domain representations with matrix analysis techniques and plane wave spectral representations of the DGFs with vector wave functions. As technology of material science advances, more complex new materials are manufactured for a variety of applications. This trend leads to the growing interest in obtaining the corresponding DGF for studying these materials in detail. For a given set of sources, the field may be easily found if the DGF of the medium is available. Furthermore, it is demonstrated that once the expansions of unbounded DGF are available, the layered-media DGF can be formulated readily.