Non-perturbative two-photon Compton scattering in pulsed laser fields

In relativistically strong laser fields with intensities well above 10^19 W/cm^2, multi-photon emission processes are important in collisions of relativistic electron beams with the laser pulse. We present results on the coherent two-photon process (double Compton scattering) in the presence of strong and short laser pulses, taking into account the finite temporal pulse length exactly for the first time.