Multiphoton COMPTON scattering in ultra-short laser pulses

This work is dedicated to the computation of emission spectra of an electron scattering off an ultra-short and highly intense laser pulse. By ultra-short we label pulses containing only a single cycle of the laser's electric eld. To be able to describe highly intense laser elds we compute the emission spectra in the so called Furry picture of quantum dynamics taking an external electromagnetic eld into account exactly. For weak and ultra-strong incident laser pulses we will present analytical expressions for the emission spectra. For intermediate laser intensities we are going to present numerically computed spectra. Finally we are going to investigate the in uence of a changed carrier-envelope phase on the emission spectra. The main results of this work concern the observation of distinct differences in electron scattering between an ultra-short and a long laser pulse what has been investigated in the literature so far. Furthermore we note that the results of this work indicate the possibility to infer the carrier-envelope-phase from the angular distribution of the scattered photons