Eigenmode generation by a given current in anisotropic and gyrotropic media
I.N. Toptygin a
G.D. Fleishman b, c
a St. Petersburg State Polytechnical University, Politekhnicheskaya str. 29, St. Petersburg, 195251, Russian Federation
b Ioffe Institute, ul. Polytekhnicheskaya 26, St. Petersburg, 194021, Russian Federation
c New Jersey Institute of Technology, Newark, New Jersey, USA
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.