Non-linear Compton Scattering in Short Laser Pulses*

The generation of short X-ray laser pulses attracts a great deal of attention. One of mechanisms to achieve this goal is the non-linear Compton scattering at very high laser powers. The majority of previous works on the non-linear Compton scattering have been devoted to the case when the incident laser field is treated as a monochromatic plane wave. There is, however, recent interest in analyzing the effect of a pulsed laser field on the non-linear Compton scattering [1-4]. We study the process for different durations of the incident laser pulse and compare it with the results for both a plane wave laser field and a laser pulse train. \\[4pt] [1] M. Boca and V. Florescu, Phys. Rev. A {\bf 80}, 053403 (2009).\\[0pt] [2] M. Boca and V. Florescu, Eur. Phys. J. D {\bf 61}, 446 (2011).\\[0pt] [3] D. Seipt and B. K\"ampfer, Phys. Rev. A {\bf 83}, 022101 (2011).\\[0pt] [4] F. Mackenroth and A. Di Piazza, Phys. Rev. A {\bf 83}, 032106 (2011).