Cylindrical Vector Wave Function Representations of Electromagnetic Fields in Gyrotropic Bianisotropic Media

Abstract

This paper presents an alternative approach to develop the cylindrical vector wave function representations of electromagnetic fields in source-free gyrotropic bianisotropic media. The formulation is carried out directly in angular spectral domain in cylindrical coordinate system thus obviating cumbersome rectangular-cylindrical coordinate transformation and mathematical manipulations in conventional Cartesian Fourier domain method. As the media under study belong to the most general coaxially gyrotropic type, the field expansion coefficients obtained here recover all previously considered cases of composite materials. A set of vector functions defined transverse and longitudinal to gyrotropic axis is introduced and exploited to facilitate analysis and be related to the commonly employed vector wave functions. Application of the present field representations in electromagnetic scattering by an infinitely long gyrotropic bianisotropic cylinder is discussed.