Resonant Interaction of the Transitional Radiation of Charged Particles with Anisotropic Magnetodielectric Filling of the Waveguide Periodically Modulated in Space

The features of the interaction of the transition radiation of a charged particle with an anisotropic magnetodielectric medium periodically modulated in the waveguide in the frequency domain of the "strong" (resonant) interaction of the radiation with the modulated medium are considered. It is assumed that the charged particle moves with a constant velocity perpendicular to the axis of the waveguide. Analytical expressions are obtained for the energy of the transition radiation of transverse electric (TE) and transverse magnetic (TM) fields in a waveguide in the strong interaction region with an accuracy of linear small modulation indices inclusive. Analytical expressions for the frequency and width of the frequency region of the strong interaction are found. The possibility of the appearance of the Cherenkov radiation in the strong interaction region for the case of a rectangular waveguide is analyzed.