Abstract
We present an analytical expression for the small-signal gain of a Free Electron Laser (FEL) in the presence of a Gaussian mode. To describe the electron beam evolution we use the one-dimensional (1-d) Vlasov equation. Our perturbation result, valid for small values of the parameterq (length of the undulatorL divided by the Rayleigh rangeZ R), can be extrapolated to values ofq≈4÷5.
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References
A very good collection of original papers and complete references can be found in:Physics of Quantum Electronics, Vols. 5, 7–9, ed. by Jacob (Addison-Wesley, Reading, MA 1982); IEEE J. QE-17, (Aug. 1981); QE-19, (March 1983)
W.B. Colson, P. Elleaume: Appl. Phys. B29, 101 (1982)
L. Elias, J. Gallardo, P. Goldstein: Proc. Intern. Conf. on Lasers' 83, San Francisco, CA (1984)
I. Boscolo, V. Stagno: InPhysics of Quantum Electronics, Vol. 9 (Addison-Wesley, Reading, MA 1982)
F.A. Hopt, P. Meystre, G.T. Moore, M.O. Scully: InPhysics of Quantum Electronics, Vol. 5 (Addison-Wesley, Reading, MA 1980)
W.B. Colson, S.K. Ride InPhysics of Quantum Electronics, Vol. 7 (Addison-Wesley, Reading, MA 1980)
W.B. Colson: IEEE J. QE-17, 17 (1981)
W.B. Colson, R. Freedman: Phys. Rev. A27, 1399 (1983)
P. Elleaume, D. Deacon: Transverse Mode Dynamics in a FEL″, in Proc. Orca-Washington FEL Conf. (1983)