Reversed Cherenkov transition radiation of charge entering anisotropic medium

The electromagnetic field of a charge crossing the interface between vacuum and an electrically anisotropic dispersive medium in which reversed Cherenkov transition radiation (RCTR) is generated has been theoretically studied. An algorithm for calculating the Fourier harmonics of the field based on exact formulas is developed and their asymptotics in the far field zone are determined. A special attention is devoted to the RCTR phenomenon, which was previously only studied for the so-called left-handed medium (LHM). Conditions for RCTR excitation are found and the effect of losses in the medium on the propagation of radiation is analyzed. The RCTR under the indicated conditions is compared to the analogous effect in LHM.