A time-harmonic Green’s function technique and wave propagation in a stratified nonreciprocal chiral slab with multiple discontinuities

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Abstract
A transversely polarized time‐harmonic electromagnetic plane wave normally incident on a stratified nonreciprocal chiral (bi‐isotropic) slab with multiple discontinuities in the parameters is considered. Up‐ and down‐going modes are identified and used to rewrite Maxwell’sequations. Two Green’s function matrices are introduced to express the internal modes in terms of the down‐going incident modes. Ordinary differential equations for the Green’s functions are given together with the boundary conditions. Several operators are introduced to treat the multiple discontinuities in the permittivity and permeability. The method provides an efficient way to calculate the internal fields as well as the scattered fields.