G. Dattoli et al., A SIMPLE-MODEL OF GAIN SATURATION IN HIGH-GAIN SINGLE-PASS FREE-ELECTRON LASERS, Nuclear instruments & methods in physics research. Section A, Accelerators, spectrometers, detectors and associated equipment, 393(1-3), 1997, pp. 133-136
The saturation dynamics of a high gain single passage FEL is reproduce
d by means of an analytical model based on Bloch-type equations, simil
ar to those governing the physics of conventional lasers. The main res
ults of the paper is the proof that the evolution from small to strong
signal regime can be described in terms of the logistic function, who
se validity is extended to the oscillator regime.