Operator matrices for describing guiding propagation in circular bianisotropic fibres

Abstract

Operator techniques are developed for describing electromagnetic waves in circular waveguides, on the basis of which an evolution operator (characteristic matrix) and impedance tensors of a homogeneous circular bianisotropic layer are determined. We investigate solutions of Maxwell’s equations depending on the dielectric permittivity and magnetic permeability tensors and the gyration pseudotensors. We show that the solutions are expressed in terms of the Bessel functions with a matrix argument for the media isotropic in the fibre cross-section. The method proposed is applied for an analytical derivation of dispersion equations of isotropic and bianisotropic waveguides.