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Ruffo, S.

Paper Title Page
TUPP010 Single Pass Free Electron Laser: The Reduced Hamiltonian
 
  • A. Antoniazzi, D. Fanelli, A. Guarino, S. Ruffo
    Universita di Firenze, Florence
  • G. De Ninno
    ELETTRA, Basovizza, Trieste
  
 

We discuss the analogies between two classical models of the single-pass free electron laser dynamics and of the beam-wave plasma instability. Moreover, a formal bridge between the two areas of investigation is established. This connection is here exploited to derive a reduced Hamiltonian formulation for the saturated regime of the free electron laser.A self consistent formulation of the parameters involved is proposed .

  
   
TUPP011 Multiple Time Scale Theory of Single-Pass Steady-State
 
  • A. Antoniazzi, D. Fanelli, S. Ruffo
    Universita di Firenze, Florence
  • J. Barre'
    LANL, Los Alamos, New Mexico
  • T. Dauxois
    ENS LYON, Lyon
  • G. De Ninno
    ELETTRA, Basovizza, Trieste
  • Y. Elskens
    Universite de Provence, Marseille
  
 

The non-linear dynamics of a single-pass, high-gain free-electron laser is analytically studied in the framework of the Vlasov-wave picture. A multiple time scale calculation is performed to derive the well known non-linear Landau equation for the complex amplitude of the unstable mode, which hence exhibits a limit cycle behaviour. The coefficients of the equation are analytically determined as function of a generic initial electron-beam distribution. Numerical results are presented. Possible extensions of this approach to the case of the Harmonic Generation are also discussed.