Quasi-monoenergetic electron acceleration in relativistic laser-plasmas

Using Particle-in-Cell simulations as well as analytical theory we study electron acceleration in underdense plasmas both in the Bubble regime and in the weakly relativistic periodic wake fields. In the Bubble regime, electron trapping is taken as a function of the propagated distance. The number of trapped electrons depends on the effective phase velocity of the X-point at the rear of the Bubble. For the weakly relativistic periodic wakes, we show that the phase synchronism between the wake and the relativistic electrons can be maintained over very long distances when the plasma density is tapered properly. Moreover, one can use layered plasmas to control and improve the accelerated beam quality. (authors)