Multiharmonic Bremsstrahlung in the Presence of a Chaotic Radiation Field

Total cross-sections are reported of the elementary process in which an electron, while being scattered by a long range potential in the presence of an intense laser field, emits photons of arbitrary frequency, and in particular photons with frequency omega(1) = n omega(2), a multiple of that of the assisting laser field. Values of n up to 40 and intensity values of the assisting strong laser field up to 10(16) W/cm(2) are considered. The obtained results are discussed in the context of recent experiments and calculations concerning high order harmonic generation.