Dyadic Green´s functions in multilayered stratified gyroelectric chiral media

To characterize electromagnetic waves in complex media has been an important topic because of the useful applications and the scientific significance of the physical mechanism. Dyadic Green´s functions, as a mathematical kernel or a dielectric medium response, relate directly the radiated electromagnetic fields and the source distribution. In terms of the vector wave functions in cylindrical coordinates, dyadic Green´s functions in an unbounded and a planar, multilayered gyroelectric chiral media are formulated. 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. In the formulation of the Green´s dyadics and their scattering coefficients, three cases are considered, i.e. the current source is impressed in (1) the first, (2) the intermediate, and (3) the last regions, respectively. Although the dyadic Green´s functions for an unbounded gyroelectric chiral medium have been reported in the literature, the results are either incorrect or suspicious. As compared to the existing results, the current work basically contributes (1) a correct form of the dyadic Green´s function for a unbounded gyroelectric chiral medium, (2) the general representation of the dyadic Green´s functions for a multi-layered gyroelectric chiral medium, and (3) a convincing and direct derivation of the irrotational Green´s dyadic.