Wave-vector representations of dyadic Green's functions in unbounded homogeneous anisotropic media

Abstract

Addresses the mathematical structure and physical interpretation of solutions of inhomogeneous and nonstandard vector wave equation in unbounded homogeneous anisotropic media. Instead of the angular spectrum representations of two integral variables, wave-vector representations are introduced in the deriving of dyadic Green's function in unbounded homogeneous anisotropic media. The previous expressions based on angular spectrum expansions are remarkably simplified. It is shown that the dyadic Green's function can be constructed by the scalar Green's function. The scalar Green's function in anisotropic media can be expressed by a superposition of many scalar Green's functions in isotropic media with different wavenumbers. Applications of this new representations to the dyadic Green's functions in anisotropically layered spherical geometries are pointed out.