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.