Wake-field effect induced by laser multiple pulses

Using a one-dimensional analysis, the maximum amplitude of the plasma wave induced by a series of square-shaped pulses is analytically calculated for ultraintense laser irradiances. The low-laser amplitude case allows us to recover the beat-wave concept and shows equivalence of the final wake-wave amplitude for one pulse and for a series of pulses with the same power. Large laser amplitudes show the inefficiency of the usual beat-wave process and indicate the need for laser pulses with delays adapted to the wake generation via wake-phase-locked pulses.