Nonlinear theory of amplification in a freeelectron laser of relativisticstrophotron type
Abstract
Equations of motion for an FEL of relativisticstrophotron type are averaged with respect to fast oscillations; and the slowmotion phase, the dimensionless time, and the saturation parameter are investigated. It is shown that, in general, the resonant frequency and the radiated energy depend significantly on the initial electron parameters: the initial transverse coordinate and the entry angle into the strophotron. An asymptotic expression for the gain at higher harmonics of the resonant frequency, averaged over the electron distribution in the beam cross section, is obtained in the strongfield asymptotics.
 Publication:

Zhurnal Tekhnicheskoi Fiziki
 Pub Date:
 November 1987
 Bibcode:
 1987ZhTFi..57.2105F
 Keywords:

 Free Electron Lasers;
 Laser Outputs;
 Nonlinear Optics;
 Power Gain;
 Relativistic Electron Beams;
 Asymptotic Methods;
 Electron Distribution;
 Electron Oscillations;
 Equations Of Motion;
 Resonant Frequencies;
 Lasers and Masers