Abstract
Both the Compton and the Raman regimes of a free electron laser are described by a relativistic Hamiltonian which originates the evolution equations for 2N+2 canonically conjugate electron and field variables, with the space coordinate as the independent variable. Space charge and field contribution to electron transverse velocity are included.
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Bonifacio, R., Casagrande, F. Hamiltonian model of a free electron laser including high-density effects. Int J Infrared Milli Waves 7, 1881–1892 (1986). https://doi.org/10.1007/BF01011994
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DOI: https://doi.org/10.1007/BF01011994