Abstract
We derive the most general equations of motion for the electrons and the electromagnetic field in a free-electron laser including the effects of diffraction and pulse propagation. The field evolution is expressed in terms of the amplitudes and phases of a complete set of transverse modes. The analytic solution is given in the small-signal regime, where the theory is shown to be in excellent agreement with a recent experiment at Orsay.
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D.A.G. Deacon, L.R. Elias, J.M.J. Madey, G.J. Ramian, H.A. Schwettman, T.I. Smith: Phys. Rev. Lett.38, 892 (1977)
IEEE J. QE-17 (1981), Special Issue on Free-Electron Lasers (ed. by A. Szoke)
Physics of Quantum Electronics, Vols. 5 and 7-9 (Addison-Wesley, Reading, MA 1978–1982)
J.M.J. Madey et al.: Final Technical Report to ERDA: Contracts EY 76-S-03-0326 PA 48, and PA 49 (1977), available from the authors at HEPL, Stanford, CA 94305, USA
S. Benson, D.A.G. Deacon, J.N. Eckstein, J.M.J. Madey, K. Robinson, T.I. Smith, R. Taber: Phys. Rev. Lett.48, 235 (1982)
W.B. Colson, S.K. Ride:Physics of Quantum Electronics 7, 377 (Addison-Wesley, Reading, MA 1980)
F.A. Hopf, T.G. Kuper, G.T. Moore, M.O. Scully:Physics of Quantum Electronics 7, 31 (Addison-Wesley, Reading, MA 1980)
G. Dattoli, A. Marino, A. Renieri, F. Romanelli: IEEE J. QE-17, 1371 (1981)
C.-M. Tang, P. Sprangle:Physics of Quantum Electronics 9, 627 (Addison-Wesley, Reading, MA 1982)
S.A. Mani, D.A. Korff, J. Blimmel:Physics of Quantum Electronics 9, 557 (Addison-Wesley, Reading, MA 1982)
L.R. Elias, J.C. Gallardo: Phys. Rev.24A, 3276 (1981)
D. Prosnitz, R.A. Maas, S. Doss, R.J. Gelinas:Physics of Quantum Electronics 9, 1047 (Addison-Wesley, Reading, MA 1982)
B.J. Coffey, M. Lax, C.J. Eliott: IEEE J. QE-19, 297 (1983)
W.B. Colson, P. Elleaume: Appl. Phys. B29, 101 (1982)
W.B. Colson, J.L. Richardson: Phys. Rev. Lett.50, 1050 (1983)
D.A.G. Deacon, J.-M. Ortega et al.: In preparation
A. Yariv:Quantum Electronics (Wiley, New York 1975) Chaps. 6 and 7
W.B. Colson:Physics of Quantum Electronics 8, 457 (Addison-Wesley, Reading, MA 1982)
W.B. Colson: IEEE J. QE-17, 1417 (1981)
M. Kogelnik, T. Li: Proc. IEEE54, 1312 (1966)
D.A.G. Deacon et al.: In preparation
M. Billardon, D.A.G. Deacon, P. Elleaume, J.-M. Ortega et al.: In preparation
D.A.G. Deacon, J.M.J. Madey, K.E. Robinson, C. Bazin, M. Billardon, P. Elleaume, Y. Farge, J.-M. Ortega, Y. Petroff, M.F. Velghe: IEEE Trans. NS-28, 3142 (1981)
P. Elleaume: J. Phys. (Paris)44, C1–333 (1983)