The Optical Klystron for Coherent X-Ray Generation

  • F. De Martini
  • J. A. Edighoffer
Part of the Ettore Majorana International Science Series book series (SLAP, volume 49)


This paper presents the theory of the modified Optical Klystron designed for the generation of coherent electromagnetic radiation in the far UV or X-band of the spectrum.1 The Optical Klystron (OK) which has been first proposed by Vinokurov and Skrinsky (1977)2,3 in connection with the development of the free-electron laser (FEL)4 is composed of two undulators and of a dispersive magnetic system placed in the optical cavity of the laser.


Scattered Field Energy Spread Coherent Scattering Harmonic Content External Laser Field 
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  1. 1.
    A preliminary version of the present work has been reported by F. De Martini, “An X-ray relativistic free-electron frequency unconverter,1 1 Proc. of the Workshop on Free-Electron Generators of Coherent Radiation, Telluride, Colorado, August 13–17, 1979, published in Physics of Quantum Electronics, Vol 7, Addison Wesley Pub. Co., Inc., Reading, Mass. 1979.Google Scholar
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    In the present paper we limit ourselves to consider the linear doppler regime. Parametric gain effects in the interaction can: be nevertheless important, and they will give rise to an enhancement of the unconversion efficiency which is calculated here. The nonlinear parametric coupling in our process will be considered by the present authors in a forthcoming paper.Google Scholar
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    These time and space coordinates are not to be confused with the ones used in connection with the bunching process. For instance, in our present case, the space coordinates are defined about the first maximum of the intensity profile of the nth harmonics. 17. J. A. Stratton, Electromagnetic Theory, McGraw Hill Co., N.Y. 1952, Chapter VIII.Google Scholar
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    We adopt the Fourier transform formulation of P. M. Woodward, Probability and Information Theory, Pergamon Press, N.Y. (1963).Google Scholar
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    J. Galayda et al., in 1979 Particle Accelerator Conference Proc., San Francisco, Ca., Cfr. Ref. 7. In the numerical example, the effects of the emittance and of the energy spread are taken care of in the calculation of the harmonic content of the beam through the reduction integrals given by Eq. (2).Google Scholar

Copyright information

© Plenum Press, New York 1983

Authors and Affiliations

  • F. De Martini
    • 1
  • J. A. Edighoffer
    • 2
  1. 1.Istituto di Fisica “G. Marconi”Universita di RomaItaly
  2. 2.Electrical Engineering DepartmentStanford UniversityStanfordUSA

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