J. Phys. I France
Volume 7, Numéro 9, September 1997
Page(s) 1039 - 1051
DOI: 10.1051/jp1:1997107
J. Phys. I France 7 (1997) 1039-1051

A Padè Type Analysis of the Harmonic Generation Mechanism in Free Electron Lasers

G. Dattoli, L. Giannessi, P.L. Ottaviani and A. Segreto

ENEA, Dipartimento Innovazione, Divisione Fisica Applicata, Centro Ricerche Frascati CP 65, 00044 Frascati, Rome, Italy

(Received 17 February 1997, revised 22 May 1997, accepted 2 June 1997)

The dynamics of the harmonic generation induced by the Free Electron Laser is reproduced analytically by using appropriate forms of approximants of the Padè type. The analysis includes in homogeneous broadening effects and the comparison with the data from simulation is shown to be excellent.

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