On the amplification of radiant energy during channeling in acoustically excited single crystal

Numerical solutions of classical equations of motion and of total radiant energy from a relativistic electron/positron in planar channeling in a single crystal excited by longitudinal standing hypersonic (HS) wave are given. The limit on the radiant energy increase from the channeled particle at parametric resonance is determined by nonlinear effects and the amplitude of HS vibrations. The relative increase of radiant energy due to the transverse oscillations near the minima of potential energy of particle may reach ~100% if HS vibrations are in phase with the instants of particle incidence on the crystal. For particles with energies E < 100 MeV the achieved fit is only qualitative, because for description of channeling in this case the application of the methods of quantum theory is needed.