“…27,36,37 We investigate why and how the steepness a 0 / t up of the laser front plays a critical role in addition to the laser intensity, the plasma density, and the foil thickness. Here a 0 = eE L / m e L c is the normalized amplitude, m e and e are the electron mass and charge, respectively, E L is the laser electric field, L is the laser frequency, c is the light speed, and t up is the rising time of the laser pulse.…”