Cylindrical Vector Wave Function Representations of the Dyadic Green's Functions for Cylindrical Multilayered Gyrotropic Bianisotropic Media - Abstract

Abstract

This paper presents a rigorous and concise formulation of the complete eigenfunction expansions of the dyadic Green's functions for cylindrical multilayered gyrotropic bianisotropic media. The media may consist of any number of layers bounded by optional impedance/ admittance walls. Both electric and magnetic dyadic Green's functions for arbitrary field and source locations are derived simultaneously making use of the principle of scattering superposition. Based on the theory of distributions, the singularities and discontinuities associated with unbounded dyadic Green's functions are deduced directly from Maxwell dyadic equations. Using the discontinuity relations obtained, the eigenfunction expansions outside the source point are constructed in terms of an expedient set of cylindrical vector functions. For the scattered dyadic Green's functions, their scattering coefficient matrices are determined without cumbersome operations while providing good physical insights into the scattering mechanism. These coefficients are expressed in compact and convenient forms involving global reflection and transmission matrices. Corresponding to the impedance/admittance boundary walls, the global reflection matrices are related directly to the wall impedance/admittance dyadics. For illustration, the general expressions of dyadic Green's functions are applied to the configuration of a perfect conducting cylinder coated with gyrotropic bianisotropic medium.