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Theoretical Development of the Free-Electron Laser

  • F. A. Hopf
  • P. Meystre

Abstract

The stimulated emission of radiation of a relativistic beam of electrons in a transverse magnetic field has been analyzed theoretically by several authors1–6, and has very recently been demonstrated experimentally at Stanford7,8 by J. Madey and coworkers.

Keywords

Boltzmann Equation Bloch Equation Electron Distribution Function Saturation Regime Small Signal Gain 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    H. Dreicer, Phys. Fluids 7 735 (1964).MathSciNetADSCrossRefGoogle Scholar
  2. 2.
    R. H. Pantell, G. Soncini, and H. E. Puthoff, IEEE J.Quantum Electronics 4, 905 (1965).ADSCrossRefGoogle Scholar
  3. 3.
    J. M. J. Madey, J. Appl. Phys. 42, 1906 (1971).ADSCrossRefGoogle Scholar
  4. 4.
    V. P. Sukhatme and P. W. Wolff, J. Appl. Phys. 44, 2331 (1973).ADSCrossRefGoogle Scholar
  5. 5.
    F. A. Hopf, P. Meystre, M. O. Scully, and W. H. Louisell,Optics Comm. 18, 413 (1976).ADSCrossRefGoogle Scholar
  6. 6.
    F. A. Hopf, P. Meystre, M. O. Scully, and W. H. Louisell,Phys. Rev. Letters 37, 1342 (1976).ADSCrossRefGoogle Scholar
  7. 7.
    L. R. Elias, W. H. Fairbank, J. M. J. Madey, H. A.Schwettmann, and T. J. Smith, Phys. Rev. Letters 36,717 (1976).ADSCrossRefGoogle Scholar
  8. 8.
    D. A. G. Deacon, L. R. Elias, J. M. J. Madey, H. A.Schwettmann, and T. J. Smith, VII Winter Symposium on high power lasers, Park City (Utah, 1977).Google Scholar
  9. 9.
    W. Heitler, The Quantum Theory of Radiation, (Oxford University Press, 1954).Google Scholar
  10. 10.
    I. Lerche, in Relativistic Plasma Physics, Ed. by O. Buneman and W. B. Pardo, (Benjamin, N.Y., 1968), p. 159.Google Scholar
  11. 11.
    In reality, this walking potential is moving quite fast, sinceks ≫ki and therefore βs ≃ 1. W. E. Lamb, Jr., suggested that it might be more appropriate to call it a “jogging”potential.Google Scholar
  12. 12.
    See for instance J. D. Jackson, Classical Electrodynamics(Wiley, N.Y., 1962).Google Scholar
  13. 13.
    See for instance L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Wiley-Interscience, N.Y., 1975).Google Scholar
  14. 14.
    H. Al-Abawi, F. A. Hopf, and P. Meystre, unpublished.Google Scholar
  15. 15.
    P. R. Garabedian, Partial Differential Equations,(Wiley, N.Y., 1964).MATHGoogle Scholar

Copyright information

© Plenum Press, New York 1977

Authors and Affiliations

  • F. A. Hopf
    • 1
  • P. Meystre
    • 1
  1. 1.Department of Physics and Optical Sciences CenterUniversity of ArizonaTucsonUSA

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