Convergent trajectories of relativistic electrons interacting with lasers in plasma waves

The dynamics of relativistic electrons interacting with a laser pulse in a plasma wave has been investigated theoretically and numerically based on the classical Landau-Lifshitz equation. There exists a convergent trajectory of electrons when the energy gain of electrons via direct laser acceleration can compensate the energy loss via radiation. An electron beam initially around the convergent trajectory evolves into the trajectory, making its occupied phase space volume decrease exponentially while mean energy remain the same. This mechanism can be used for cooling relativistic electron beams especially those produced in plasma-based acceleration.