Laser cooling of an electron beam by the coherent scattering of a strong laser beam

A radiative laser cooling system for electron beams has been investigated numerically. We exactly analyze the motion of charged particles in the strong electromagnetic field of an intense laser pulse. The reduction of the energy spread of the electron beam has been calculated. Since the reduction is very small even if a very high power laser is used, an enhancement of the radiative damping process is important. We consider the use of a coherent radiation process for the enhancement. In order to investigate the motion of particles emitting coherent radiation, we have made a new simulation code to analyze motion of particles interacting with each other with Lienard-Wiechert retarded fields. Using the new code, the enhancement of the reduction of the total energy of a two particle system has been calculated as a function of time, as the two particles approach each other.