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Theoretical Development of the Free-Electron Laser

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Cooperative Effects in Matter and Radiation
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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.

Work supported by the U. S. Energy Research and Development Administration

Supported by the National Science Foundation, Math GT # 43020

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References

  1. H. Dreicer, Phys. Fluids 7 735 (1964).

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  2. R. H. Pantell, G. Soncini, and H. E. Puthoff, IEEE J.Quantum Electronics 4, 905 (1965).

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  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).

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  10. I. Lerche, in Relativistic Plasma Physics, Ed. by O. Buneman and W. B. Pardo, (Benjamin, N.Y., 1968), p. 159.

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  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.

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  12. See for instance J. D. Jackson, Classical Electrodynamics(Wiley, N.Y., 1962).

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  13. See for instance L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Wiley-Interscience, N.Y., 1975).

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  14. H. Al-Abawi, F. A. Hopf, and P. Meystre, unpublished.

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  15. P. R. Garabedian, Partial Differential Equations,(Wiley, N.Y., 1964).

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© 1977 Plenum Press, New York

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Hopf, F.A., Meystre, P. (1977). Theoretical Development of the Free-Electron Laser. In: Bowden, C.M., Howgate, D.W., Robl, H.R. (eds) Cooperative Effects in Matter and Radiation. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-2415-7_12

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  • DOI: https://doi.org/10.1007/978-1-4684-2415-7_12

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-2417-1

  • Online ISBN: 978-1-4684-2415-7

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