[en] A detailed investigation has been carried out aimed at establishing the multiquantum character of energy exchanges in the bremsstrahlung stimulated by strong lasers fields, as occurs in the scattering of a monoenergetic electron beam. In particular the absorption coefficient is analysed as a function of photon multiplicity, field intensity and frequency. The influence of the laser intensity spatial inhomogeneity is taken into account as well. Calculations have been performed within a quantum-mechanical and a classical treatment