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2006 | 110 | 4 | 459-470
Article title

Chaotic Electron Trajectories in a Planar Wiggler Free-Electron Laser

Content
Title variants
Languages of publication
EN
Abstracts
EN
The motion of an electron in a planar wiggler with an axial guide field is found to be nonintegrable. When taking into account the effects of self-fields of the beam, it is confirmed that the motion of an electron in a planar wiggler with a guide field may be chaotic. There is evidence of chaos from numerical calculations of nonzero Lyapunov exponents using different approaches of Benettin's method which are described and compared. Very accurate Poincaré maps are also performed.
Keywords
EN
Publisher

Year
Volume
110
Issue
4
Pages
459-470
Physical description
Dates
published
2006-10
received
2006-07-26
Contributors
author
  • Department of Physics, Teacher Training University, Tehran, Iran
author
  • Department of Physics, Teacher Training University, Tehran, Iran
References
  • 1. H.P. Freund, J.M. Antonsen, Principle of Free-Electron Lasers, 2nd ed., Chapman and Hall, London 1996
  • 2. S.N. Rasband, Chaotic Dynamics of Nonlinear Systems, Wiley, New York 1990; G. Benettin, L. Galgani, J.M. Strelcyn, Phys. Rev. A, 14, 2338, 1976
  • 3. F. Varosi, T.M. Antonsen Jr., E. Ott, Phys. Fluids A, 3, 1017, 1991
  • 4. C. Chen, R.C Davidson, Phys. Fluids B, 2, 171, 1990
  • 5. C. Chen, R.C. Davidson, Phys. Rev. A, 43, 5541, 1991
  • 6. A. Bourdier, L. Michel-Lours, Phys. Rev. E, 49, 3353, 1994
  • 7. S. Saviz, H. Mehdian, Acta Phys. Pol. A, 107, 895, 2005
  • 8. J. Lichtenberg, M.A. Lieberman, Regular and Stochastic Motion, Springer-Verlag, New York 1993
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv110n402kz
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