Eigenfunction expansion of the dyadic Green's function in a gyroelectric chiral medium by cylindrical vector wave functions

Abstract

Gyroelectric chiral media, which blend gyroelectric effects with those of optical activity, have potential applications in chirality management. In the present investigation, based on the Ohm-Rayleigh method, the dyadic Green's function in an unbounded gyroelectric chiral medium is rigorously represented in an eigenfunction expansion of the cylindrical vector wave functions. The analysis reveals that the singularity of the dyadic Green"s function is essentially static in character and independent of the chiral parameter. Due to the effects of optical activity, two types of eigenwaves, left- and right-handed circularly polarized waves traveling with different wave numbers, can be simultaneously excited in a gyroelectric chiral medium. Nonreciprocal property of the dyadic Green's function, owing to the gyroelectric effects, is revealed. It is found that the chiral effects of the gyroelectric chiral medium are manageable with the introduction of a controllable gyroelectric parameter to manage the wave numbers of the eigenwaves propagating in this class of medium.