Vector wave functions in uniaxial chiro-omega medium and their applications to scattering problems

The uniaxial chiro-omega medium, which is a modification of the well-studied reciprocal chiral medium [1], can be created by embedding microscopic metal helices and Ω-shaped metal wires in the same isotropic host material in a certain specified manner but distributed in random locations [2]. From a phenomenological point of view, a uniaxial chiro-omega medium with the preferred axis of z direction can be characterized by a set of constitutive relations: D=ε· E+ξ·H and B=μ·H+ζ·E, where ε = εt Īt + εzezez' and μ=μtĪt+μzezez are the permittivity and permeability dyadics, respectively. ξ = i (μ0ε0)1/2 (−αĪt+βez × Īt) and ζ = −i (μ0ε0)1/2 (αĪt+βez × Īt) denote the uniaxial magnetoelectric pseudo-dyadics.