Eigenmode generation by a given current in anisotropic and gyrotropic media

The theory of eigenmode generation by a given current was developed for a uniform, transparent, anisotropic and gyrotropic medium with a temporal and spatial dispersion. Different approaches were employed to determine the eigenmode dispersion relations and polarization vectors. A close interrelation was traced between the principal values and eigenvectors of the Maxwellian tensor and the properties of the linear eigenmodes of a given medium. The spectral energy density radiated in a given direction in the medium was calculated for different medium modes having different phase velocities and polarizations. Anisotropic factors were derived, which change the eigenmode radiation intensity in comparison with that for an isotropic medium with the same refractive index. Several typical examples were considered.