High Gain Free Electron Laser Oscillators.
NAVAL RESEARCH LAB WASHINGTON DC
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We have carried out a fully relativistic, nonlinear analysis of the spatial and temporal evolution of multiple modes within a free electron laser oscillator. The analysis is both analytical and numerical, and is conducted self-consistently with the framework of the Vlasov-Maxwell system of equations, including the collective effects produced by the longitudinal space-charge wave potential. The analytic calculation of the small signal gain yields a dispersion relation for the moderate to high gain Gamma L 1 operation of the free electron laser. The numerical simulations verify the analytic results for the linear gain regime and predicts high efficiencies for the nonlinear saturated state of the radiation fields. Keywords include FEL oscillator High gain oscillator and Multi-mode oscillator.
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