e-beam transport properties in a focusing laser field

This paper studies the focusing characteristics of the relativistic e-beam in a radially polarized axisymmetric laser field. A root mean square (rms) envelope equation, which describes the evolution of the relativistic e-beam rms envelope has been derived. Together with analytical calculations and simulations of electron trajectories, the e-beam transport properties in the laser fields are studied and the possible application of this laser configuration as a laser-based lens is analysed.