Il Nuovo Cimento D

, Volume 15, Issue 7, pp 945–956 | Cite as

A general analysis of the electromagnetic wake-fields due to a relativistic electron beam moving through a cold plasma

  • S. Bilikmen
  • R. M. Nazih
Article
  • 32 Downloads

Summary

Detailed electromagnetic analysis of the wake-field accelerator is presented. Particular attention is given to the two-dimensional dynamics model to understand how the wake-field affects the self-consistent radial dynamics of the beam. The corrent fields, in zeroth and first order, are obtained by using Fourier transform in the radial field. The self-focusing of the driving beam in a plasma is a result of the transverse wake. The ratio of the transverse wake-field to the longitudinal wake-field within the beam is calculated for small and large radii beams.

PACS 52.40.Mj

Particle beam interactions in plasma (including intense charged-particle beams) 

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References

  1. [1]
    R. K. Keinigs andM. E. Jones:Phys. Fluids,30, 252 (1987).MATHCrossRefADSGoogle Scholar
  2. [2]
    J. D. Jackson:Classical Electrodynamics, 2nd edition (Wiley, New York, N.Y., 1975), p. 220.MATHGoogle Scholar
  3. [3]
    G. Roussakov:Am. J. Phys.,38, 1188 (1970).CrossRefADSGoogle Scholar
  4. [4]
    D. C. Champeney:Fourier Transforms and their Physical Applications (Academic Press, London and New York, 1973).MATHGoogle Scholar
  5. [5]
    P. Chen, J. M. Dawson, R. W. Huff andT. Katsouleas:Phys. Rev. Lett,54, 693 (1985).CrossRefADSGoogle Scholar
  6. [6]
    T. Katsouleas:Phys. Rev. A,33, 2056 (1989).CrossRefADSGoogle Scholar
  7. [7]
    M. Abramowitz andI. A. Stegun (Editors):Handbook of Mathematical Functions, National Bureau of Standards Applied Mathematics, Series No. 55 (U.S. Government Printing Office, Washington, D.C. 20402, 1964), p. 374.Google Scholar
  8. [8]
    J. L. Cox andW. H. Bennett:Phys. Fluids,13, 182 (1970).CrossRefADSGoogle Scholar
  9. [9]
    J. J. Su et al.:IEEE Trans. Plasma Sci., PS-15, 192 (1987).ADSCrossRefGoogle Scholar
  10. [10]
    J. Rosenzweig:IEEE Trans. Plasma Sci., PS-15, 186 (1987).ADSGoogle Scholar
  11. [11]
    J. Rosenzweig:Phys. Rev. A,38, 3634 (1988).CrossRefADSGoogle Scholar
  12. [12]
    J. Rosenzweig:Phys. Rev. A,40, 5249, (1989).CrossRefADSGoogle Scholar
  13. [13]
    Y. T. Yan:Phys. Fluids,31, 960, (1988).CrossRefADSGoogle Scholar
  14. [14]
    Y. T. Yan et al.:Phys. Rev. A,38, 1490 (1988).CrossRefADSGoogle Scholar

Copyright information

© Società Italiana di Fisica 1993

Authors and Affiliations

  • S. Bilikmen
    • 1
  • R. M. Nazih
    • 2
  1. 1.Department of Physics, Middle East Technical UniversityODTUAnkaraTurkey
  2. 2.Department of PhysicsUniversity of the 7th of AprilZawiaLibia

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