Properties of Vavilov-Cherenkov radiation in an anisotropic medium with a resonant dispersion of permittivity

The Vavilov-Cherenkov radiation of a charge moving along the main axis of an anisotropic uniaxial nongyrotropic medium with resonant-type dispersion is analyzed. This model of the medium is typical both for crystals and for some metamaterials. The analytical results obtained using the complex plane analysis and the corresponding computed examples for the electromagnetic field components and energy patterns are given. The electromagnetic field is presented as the sum of a quasi-Coulomb field and a radiation field (the plasma oscillations are not generated in the case under consideration). The classification of media with respect to the character of the energy pattern directivity is given. It is shown that patterns of five different types can be realized. Each of them has two lobes, which can be “forward,” “reversed,” or “mixed.”