Representations of Green's dyadics in multilayered general Faraday chiral media

In this study, a complete eigenfunction expansion of the dyadic Green's functions (DGF) for an unbounded and a planar, arbitrary multilayered general Faraday chiral media (both the permittivity and permeability are tensors) are formulated in terms of the vector wave functions in cylindrical coordinates, which is a general extension of the gyroelectric cases. After a general representation of the Green's dyadics is obtained, the scattering coefficients of the Green's dyadics are determined from the boundary conditions at each interface and are expressed in a greatly compact form of recurrence matrices. These formulations are constructed based on the principle of scattering superposition. Although the dyadic Green's functions for an unbounded chiroplasma medium has been reported in the literature, we here present multi-layered DGFs for the most general Faraday chiral media . The explicit representation of the DGFs after reduction to the chiroplasma or isotropic case agrees well with those existing corresponding results.