The work investigates the interaction of a focused electron beam with a short laser pulse in the nonlinear regime. Using numerical modeling, the spectral-angular characteristics of the emitted radiation are calculated for electron beam parameters corresponding to the first Station of the Compton Radiation Source at the National Center for Physics and Mathematics (CRS NCPM). The influence of the laser pulse polarization and focusing parameters, as well as the energy spread and normalized transverse emittance of the electron beam on the spectral-angular, angular, and spectral distributions of the emitted energy is analyzed. It is shown that employing shorter and more intense laser pulses enables the interaction enters the nonlinear regime and higher harmonics appear in the spectrum. It is shown that employing shorter and more intense laser pulses enables a transition beyond the linear interaction regime and leads to the formation of spectra containing higher harmonics.
Malakhov et al. (Sun,) studied this question.