Cylindrical vector wave function representation of Green´s dyadics for uniaxial bianisotropic media

This paper presents a novel and rigorous eigenfunction expansion of electric-type dyadic Green´s function for an unbounded uniaxial bianisotropic medium in terms of the cylindrical vector wave functions. The Green´s dyadic is obtained based on the well-known Ohm-Rayleigh method together with some newly developed vector and tensor identities formed by the differential, curl and dot product of the constitutive dyadics and the cylindrical vector wave functions. The above identities greatly simplify the process of finding the vector expansion coefficients of the dyadic Green´s function of the uniaxial bianisotropic media. The dyadic Green´s function derived is expressed in terms of the contribution from the irrotational solenoidal types of vector wave functions, with the λ integrals removed using the residue theorem