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Quantum Treatment of Amplified Spontaneous Emission in High-Gain Free-Electron Lasers

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Instabilities and Chaos in Quantum Optics

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 34))

Abstract

The existence of a collective instability for an unbunched, monokinetic electron beam and no field excitation leads to an exponential growth of radiation in the free-electron laser (FEL) process. A high-gain FEL has been recently operated at Livermore in this amplified spontaneous emission regime. We have developed a fully quantum treatment which includes the initial stage of this regime so that we can describe the onset of the process, evaluate the effect of fluctuations on the build-up time and the power level of radiation, and give the photon statistics. In a proper limit of our treatment we recover the classical results in which the source of fluctuations is the electron shot-noise.

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References

  1. L.R. Elias, W.M. Fairbank, J.M.J. Madey, H.A. Schwettmann, T.I. Smith: Phys. Rev. Lett. 36, 717 (1976);

    Article  ADS  Google Scholar 

  2. D.A.G. Deacon, L.R. Elias, J.M.J. Madey, G.J. Ramian, H.A. Schwettmann, T.I. Smith: Phys. Rev. Lett. 38, 892 (1977)

    Article  ADS  Google Scholar 

  3. M. Billardon, P. Elleaume, J.M. Ortega, C. Bazin, M. Bergher, M. Velghe, Y. Petroff, D.A.G. Deacon, K. Robinson, J.M.J. Madey: Phys. Rev. Lett. 51, 1652 (1983)

    Article  ADS  Google Scholar 

  4. T.J. Orzechowski, B. Anderson, W.M. Fawley, D. Prosnitz, E.T. Scharlemann, S. Yarema, D. Hopkins, A.C. Paul, A.M. Sessler, J. Wurtele: Phys. Rev. Lett. 54, 889 (1985)

    Article  ADS  Google Scholar 

  5. N.M. Kroll, W.A. McMullin: Phys. Rev. A17, 300 (1978);

    Article  ADS  Google Scholar 

  6. I.B. Bernstein, J.L. Hirschfield: Phys. Rev. A20, 1661 (1979);

    Article  ADS  Google Scholar 

  7. P. Sprangle, C.M. Tang, W.H. Manheimer: Phys. Rev. A21, 302 (1980);

    Article  ADS  Google Scholar 

  8. G. Dattoli, A. Marino, A. Renieri, F. Romanelli: IEEE J. QE-17, 1371 (1981);

    Article  Google Scholar 

  9. C.C. Shih, A. Yariv: ibid., 1387 (1981)

    Google Scholar 

  10. R. Bonifacio, C. Pellegrini, L.M. Narducci: Opt. Commun. 50, 373 (1984)

    Article  ADS  Google Scholar 

  11. R. Bonifacio, J. Murphy, C. Pellegrini: Opt. Commun., 53, 197 (1985)

    Article  ADS  Google Scholar 

  12. J. Murphy, C. Pellegrini: J. Opt. Soc. Am. B2, 259 (1985)

    ADS  Google Scholar 

  13. J.M.J. Madey, C. Pellegrini (eds.): Free Electron Generation of Extreme Ultraviolet Coherent Radiation (American Institute of Physics, New York 1984)

    Google Scholar 

  14. R. Bonifacio, F. Casagrande: Opt. Commun. 50, 251 (1984)

    Article  ADS  Google Scholar 

  15. R. Bonifacio, F. Casagrande: J. Opt. Soc. Am. B2, 250 (1985)

    Article  ADS  Google Scholar 

  16. R. Bonifacio, F. Casagrande: Nucl. Instr. and Meth., A237, 168 (1985)

    Article  ADS  Google Scholar 

  17. See e.g.: W. Becker, J.K. Mclver: Phys. Rev. A28, 1838 (1983);

    Article  ADS  Google Scholar 

  18. A. Gover: In [Ref. 6.8, p. 144];

    Google Scholar 

  19. J. Benson, J.M.J. Madey: In [Ref.6.8, p. 173];

    Google Scholar 

  20. A.T. Georges: Phys. Rev. A28, 3692 (1983);

    Article  ADS  Google Scholar 

  21. J. Gea-Banacloche: Phys. Rev. A31, 1607 (1985)

    Article  ADS  Google Scholar 

  22. W. Becker, J.K. Mclver: Phys. Rev. A27, 1030 (1983)

    Article  ADS  Google Scholar 

  23. W. Becker, J.K. Mclver: Opt. Commun. 53, 39 (1985)

    Article  ADS  Google Scholar 

  24. A. Renieri: In [Ref. 6.8, p. 1];

    Google Scholar 

  25. W.B. Colson: In [Ref. 6.8, p. 260]

    Google Scholar 

  26. The inclusion of space-charge sets a lower limit to the instability region [6.6]

    Google Scholar 

  27. R. Bonifacio, F. Casagrande, G. Casati: Opt. Commun. 40, 219 (1982); and in Evolution of Order and Chaos, ed. by H. Haken, Springer, Ser. Syn., Vol. 17 (Springer, Berlin, Heidelberg 1982) p. 248;

    Article  ADS  Google Scholar 

  28. R. Bonifacio, F. Casagrande, G. Casati, S. Celi: In Coherence and Quantum Optics V, ed. by L. Mandel, E. Wolf (Plenum, New York 1984) p. 801

    Google Scholar 

  29. W.B. Colson: Phys. Lett. 64A, 190 (1977)

    ADS  Google Scholar 

  30. R. Bonifacio, F. Casagrande: In Coherence and Collective Properties in the Interaction of Relativistic Electron Beams and Electromagnetic Radiation, ed. by R. Bonifacio, F. Casagrande, C. Pellegrini (North-Holland, Amsterdam 1985) p. 36

    Google Scholar 

  31. R.J. Glauber: In Laser Handbook, ed. by. F.T. Arecchi and E.O. Schulz-Dubois (North- Holland, Amsterdam 1972) p.1

    Google Scholar 

  32. Review papers are: D.F. Walls: Nature 280, 451 (1980); ibid. 306, 141 (1983);

    Article  ADS  Google Scholar 

  33. R. Loudon: Rep. Prog. Phys. 43, 913 (1980);

    Article  MathSciNet  ADS  Google Scholar 

  34. H. Paul: Rev. Mod. Phys. 54, 1061 (1982)

    Article  ADS  Google Scholar 

Additional References with Titles

  • Becker, W., Gea-Banaloche, J., Scully, M.O.: “Intrinsic linewidth of a free-electron laser”, Phys. Rev. A33, 2174 (1986)

    Article  ADS  Google Scholar 

  • Bonifacio, R., Casagrande, F., Pellegrini, C.: “Hamiltonian model of a free electron laser”, Opt. Commun. 61, 55 (1987)

    Article  ADS  Google Scholar 

  • Gover, A., Amir, A., Elias, L.R.: “Laser line broadening due to classical and quantum noise and the free-electron laser linewidth”, Phys. Rev. A35, 164 (1987)

    Article  ADS  Google Scholar 

  • Marshall, T.C.: Free-Electron Laser (Macmillan, New York, 1985)

    Google Scholar 

  • Pike, E.R., Sarkar, S., (eds.): Frontiers in Quantum Optics (Adam Hilger, Bristol, 1986)

    Google Scholar 

  • Scharlemann, E.T., Prosnitz, D., (eds.): Free-Electron Laser (North-Holland, Amsterdam, 1986)

    Google Scholar 

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Authors
  1. R. Bonifacio
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  2. F. Casagrande
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Editor information

Editors and Affiliations

  1. Dipartimento di Fisica dell’ Università, Istituto Nazionale di Ottica, Largo E. Fermi 6, I-50125, Firenze, Italy

    F. Tito Arecchi

  2. Department of Physics, Heriot-Watt University, Riccarton, Edinburgh, EH14 4AS, UK

    Robert G. Harrison

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© 1987 Springer-Verlag Berlin Heidelberg

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Bonifacio, R., Casagrande, F. (1987). Quantum Treatment of Amplified Spontaneous Emission in High-Gain Free-Electron Lasers. In: Arecchi, F.T., Harrison, R.G. (eds) Instabilities and Chaos in Quantum Optics. Springer Series in Synergetics, vol 34. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-71708-6_6

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  • DOI: https://doi.org/10.1007/978-3-642-71708-6_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-71710-9

  • Online ISBN: 978-3-642-71708-6

  • eBook Packages: Springer Book Archive

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