Theoretical Development of the Free-Electron Laser

  • F. A. Hopf
  • P. Meystre


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.


Boltzmann Equation Bloch Equation Electron Distribution Function Saturation Regime Small Signal Gain 
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  1. 1.
    H. Dreicer, Phys. Fluids 7 735 (1964).MathSciNetADSCrossRefGoogle Scholar
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    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
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    I. Lerche, in Relativistic Plasma Physics, Ed. by O. Buneman and W. B. Pardo, (Benjamin, N.Y., 1968), p. 159.Google Scholar
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    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
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    See for instance J. D. Jackson, Classical Electrodynamics(Wiley, N.Y., 1962).Google Scholar
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    See for instance L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Wiley-Interscience, N.Y., 1975).Google Scholar
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    H. Al-Abawi, F. A. Hopf, and P. Meystre, unpublished.Google Scholar
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    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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