Abstract
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.
Work supported in by Consiglio Nazionale delle Ricerche and Centro Ricerche FIAT, S.p.A.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
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.
N. A. Vinokurov and A. N. Skrinsky, preprints INP 77.59 and 77.67 Novosibirsk 1977 and Proc. of the National Conf. on Charged Particle Accelerators, Dubna, 1978, Vol 2, p. 233.
R. Coisson, review paper on optical Klystron. To be published.
D. A. G. Deacon, R. L. Elias, J. M. J. Madey, J. J. Ramian, H. A. Schwettmann and T. I. Smith, Phys. Rev. Lett. 38, 892 (1972).
C. Shif and A. Yariv in Physics of Quantum Electronics, Vol. 7, (cfr. Ref. 1).
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.
C. Pellegrini in 1979 Particle Accelerators Conference Proceedings, San Francisco, March 1979, IEEE Trans, on Nuclear Sciences NS 26, 3, 3791 (1979).
J. A. Edighoffer and R. M. Pantell, J. Appl. Phys. 50, 6120, 1979 M. A. Piestrup, G. B. Rothbart, R. N. Fleming and R. H. Pantell, J. Appl. Phys. 46, 132 (1975). See the list of references reported at Ref. 5 in the work by F. De Martini, in Physics of Quantum Electronics, Vol 7, Addison Wesley Publ. Co., Reading, Mass. 1979 (cfr. Ref. 1).
Klystron-bunching in nonrelativistic regime is analyzed in the context of microwave tubes by J. C. Slater, Microwave Electronics, Van Nostrand, Princeton (1980).
E. Jahnke and F. Emde, Tables of Functions, Dover, New York (1945).
Primed symbols will correspond hereafter to the definition in electron-rest-frame (e.r.f.) of the corresponding quantities expressed in laboratory frame (lab.f.).
The space-charge approach has been adopted in the paper of Ref. 1.
W. B. Colson, Phys. Lett. 64A, 190, 1977.
J. D. Jackson, Classical Electrodynamics, Wiley, N.Y. (1975).
E. Fermi, Zeit Phys. 29, (1924), E. J. Williams, Proc. Roy. Soc. A139, 163 (1933).
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.
We adopt the Fourier transform formulation of P. M. Woodward, Probability and Information Theory, Pergamon Press, N.Y. (1963).
In the present analysis we neglect diffraction effects in x’ direction.
R. Coisson and F. De Martini, submitted for publication.
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).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1983 Plenum Press, New York
About this chapter
Cite this chapter
De Martini, F., Edighoffer, J.A. (1983). The Optical Klystron for Coherent X-Ray Generation. In: Martellucci, S., Chester, A.N. (eds) Free Electron Lasers. Ettore Majorana International Science Series, vol 49. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3751-5_24
Download citation
DOI: https://doi.org/10.1007/978-1-4613-3751-5_24
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-3753-9
Online ISBN: 978-1-4613-3751-5
eBook Packages: Springer Book Archive