Determining the energy of charged particles moving in a waveguide filled with an anisotropic dispersive medium

Generation of the Vavilov-Cherenkov radiation (VCR) by a charged particle moving in a waveguide filled with an anisotropic dispersive medium whose principal axis is parallel to the waveguide axis is considered. It is established that, for a certain character of dispersion, which can be realized using artificial metamaterials, it is possible to obtain a pronounced dependence of the frequencies of excited modes on the Lorentz factor even in the region of large values of this factor. This circumstance can be used for determining the energies of ultrarelativistic particles and beams.