Eigenfunctional representation of dyadic Green´s functions for cylindrically multilayered gyrotropic Faraday chiral media

In this study, dyadic Green´s functions (DGFs) for cylindrically multilayered gyrotropic Faraday chiral media are formulated. Each layer can be characterized by, ε~, μ~ and ξ_c (chiral admittance). Without any loss of generality, the DGFs constructed for the multilayered structures of gyrotropic Faraday chiral media can be utilized to treat arbitrary source distribution and location, and multilayers of arbitrary thickness and material parameters. After a general representation of Green´s dyadics is formulated, scattering DGFs with scattering coefficients are obtained by using scattering superposition method, and multiple reflection and transmission coefficients are determined from boundary conditions at interfaces. A recursive algorithm is provided to determine those scattering coefficients efficiently. The DGFs derived are expressed in terms of the cylindrical vector wave functions (VWFs), with the λ domain integrals removed using the residue theorem. The results can be utilized to characterize electromagnetic waves in both unbounded and multilayered gyrotropic Faraday chiral media and can be extended to the development of DGFs for bianisotropic media in multilayered structures.