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A laser wakefield acceleration study has been performed in the matched, self-guided, blowout regime producing 72050 MeV quasimonoenergetic electrons with a divergence ₅ₖ₇₌ of 2. 850. 15 mrad using a 10 J, 60 fs 0. 8 laser. While maintaining a nearly constant plasma density (310^18 cm^-3), the energy gain increased from 75 to 720 MeV when the plasma length was increased from 3 to 8 mm. Absolute charge measurements indicate that self-injection of electrons occurs when the laser power P exceeds 3 times the critical power P₂ₑ for relativistic self-focusing and saturates around 100 pC for P/P₂ₑ>5. The results are compared with both analytical scalings and full 3D particle-in-cell simulations.
Froula et al. (Thu,) studied this question.