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The 3-D FEL pulse propagation equation: An analytical treatment in the low-gain and small-signal regime
Authors:G Dattoli  A Torre  H Fang  J C Gallardo  M Richetta
Institution:(1) Dip. TIB, U.S. Fisica Applicata, CRE Frascati, ENEA, C.P. 65, 00044 Frascati, Roma, Italia;(2) Present address: Institute of Optics and Fine Mechanics, P.O. Box 8211, Shanghai, China;(3) Present address: Brookhaven National Labs., 11973 Upton, New York, USA
Abstract:Summary In this paper we show that the transverse mode evolution of a FEL operating with short pulses can be treated, in the small-signal and low-gain regime, using a relatively simple mathematical technique leading to a potentially fast numerical algorithm. We also point out that analytical solutions can be obtained for the cases where the slippage length is small compared to the longitudinal bunch length.
Keywords:Laser resonators  cavities  amplifiers
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