N. Piovella et al., THEORY OF SHORT-PULSE FEL OSCILLATORS, Nuclear instruments & methods in physics research. Section A, Accelerators, spectrometers, detectors and associated equipment, 375(1-3), 1996, pp. 156-159
A simple model for the nonlinear low gain evolution of a short pulse C
ompton free electron laser (FEL) oscillator is derived. An analysis of
the small signal regime allows the calculation of the shape of the pr
oduced optical pulse. For small excess over threshold, a Landau-Ginzbu
rg equation is obtained, which allows us to show that a strong superra
diant efficiency enhancement occurs at small detuning. Furthermore, th
e knowledge of the eigenfrequencies in the small signal regime allows
one to infer a scale law for the period of limit cycles occurring at l
arger excess over threshold. Theoretical results are compared to exper
imental results from FELIX.