The differential cross section for electron-hydrogen atom collisions in the
presence of a CO2 laser field is analysed as a function of the incident el
ectron energy. We show that the criticism of the second Born treatment of e
lastic scattering and excitation by fast electrons is unjustified for vario
us geometrical configurations. Detailed calculations of the scattering ampl
itudes are performed by using the Sturmian basis expansion.