“…The initial momentum of the electrons has to be sufficient for them to stay in an accelerating phase of the plasma wave traveling with speed close to the speed of light [1] . Many solutions have been proposed to solve the problem of electron trapping, such as external injection [3,4] , self-injection by a nonlinear plasma wave in the so-called bubble regime [5][6][7] , counterpropagating laser pulses [8] , using a mixture of gases, one of which has a high ionization threshold [9][10][11] , or plasma density gradients (downramp) [12] . But the problem still persists.…”