Enhanced betatron-radiation energy using two collinear laser pulses

A new self-injection scheme is proposed for the laser wakefield accelerator in the nonlinear (cavity) regime using a pair of matched, copropagating laser pulses which yields a pC electron bunch. By tuning their relative delay and intensity, the subsequent betatron radiation energy can be considerably $(\times 3)$ enhanced compared to the single pulse scheme for the same total energy. A new condition for the optimal bubble size is derived and verified by particle-in-cell simulations, demonstrating the advantages of the double-pulse scheme for self-injection.