Reciprocity in media with sources

Abstract

Before generalizing the discussion to media with sources (currents), we extend the scattering theorem to more general plane-stratified uniaxial anisotropic or bianisotropic media. This has a dual purpose. First, these media exhibit reflection symmetry, which will enable us to demonstrate the different treatment of reflection transformations in the case of eigenmodes with a prescribed local plane-wave variation in source-free media, and in the general case of wave fields associated with arbitrary current distributions. Second, the stratified structure permits the decomposition of wave fields into well-defined eigenmodes, which is a necessary condition for the derivation and formulation of a scattering theorem. In the subsequent discussion, involving currents and fields in arbitrary media having reflection symmetry, there will no longer be any need to restrict the discussion to plane-stratified configurations.