Evolution and impedance operators of spherically symmetric bianisotropic media

Abstract

An operator method, which was developed earlier for bianisotropic layered media with plane and cylindrical interfaces, is generalized to solve spherically symmetric problems: determination of eigenmodes of spherical waveguides, investigation of surface waves, calculation of light scattering cross-section by multi-layer spherical particles. Analytical results are applied to obtain the modes of the negative-refractive-index waveguide, to determine dispersion curves of the waves at the spherical interface between isotropic and bianisotropic media, to reveal the regularities of electromagnetic wave scattering by spherical dielectric particles.