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Storage-ring FEL amplifiers and electron beam longitudinal mode-damping times

G. Dattoli, L. Mezi, P. L. Ottaviani*, A. Renieri, and M. Vaccari*

  • ENEA, Dipartimento Innovazione, Divisione Fisica Applicata, Centro Ricerche Frascati, C.P. 65, 00044 Frascati, Rome, Italy

  • *Present address: ENEA, Dipartimento Innovazione, Centro Ricerche Bologna, Bologna, Italy.

Phys. Rev. E 57, 7153 – Published 1 June, 1998

DOI: https://doi.org/10.1103/PhysRevE.57.7153

Abstract

We exploit the Fokker-Planck equation to investigate the longitudinal phase-space dynamics of a FEL amplifier operating with a storage ring. We study both standard and optical-klystron configurations and prove that in both cases the damping times of the electron longitudinal modes are modified by the system operating conditions. In particular, they decrease with increasing laser power when the input laser is tuned at the resonant frequency.

References (8)

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  2. For an introduction to the Fokker-Planck equation see, e.g., J. Prigogine, Non-Equilibrium Statistical Mechanics (Interscience, New York, 1962), p. 64.
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  8. G. Dattoli and A. Torre, Theory and Applications of Generalized Bessel Functions (Aracne, Rome, 1996), and references therein.

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