THE PROBABILISTIC MODEL OF ULTRASHORT PULSES SCATTERING ON A FREE ELECTRON

Abstract

We devoted our study to the generalization of the traditional approach for the description of photon scattering on free electrons in the case of ultrashort laser pulses (USLP). In the framework of the second order of quantum mechanical perturbation theory with the use of the Klein–Nishina formula, we derived the expression for the total scattering probability during the whole time of the pulse action that is applicable in the relativistic limit. The redshift of scattered pulse spectra at the scattering angle increase in the relativistic case was studied. The trends of the total scattering probability on the USLP duration were categorized.