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Based on Lienard-Weichert retarded potentials and the potential due to theimage of charges on the cathode, a rigorous relativistic description of thebeam transport inside the RF-photoinjector is presented. The velocity dependenteffects are taken into account. Simulations are presented for parameters of the"ELSA" photo-cathode

Lienard-Wiechert Potentials and the Method of Images in an RF Free Electron Laser Photoinjector