  The concept of the electron mass dressing by a powerful laser pulse is
discussed. It is shown, by considering the coherent frequency combs generated
out of the Compton radiation, how the electron dressed mass can be determined
experimentally. This also opens a possibility to measure properties of
extremely intense pulses for which the previously developed methods, working at
moderate intensities, are not applicable. Namely, one can determine these
properties from the properties of coherent Compton radiation.
