Investigation of the channeling radiation in periodically deformed crystals by non-linear optics methods

The quantum formalism for computation of the spectral distributions of the radiation produced by relativistic electrons channeled in harmonically deformed crystallographic planes is developed using non-linear resonant optics methods related to radiation of two-level damped systems in the prescribed external field. Relaxation due to the electron scattering in the crystal has been taken into account. The channeling radiation spectra depending on the amplitude of the crystal deformation are presented.