Chaotic Electron Trajectories in a Planar Wiggler Free-Electron Laser

• Authors: A. Soleyman , H. Mehdian
• 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

41.60.Cr

Discipline

• 41.60.Cr: Free-electron lasers(see also 52.59.Rz Free-electron devices—in plasma physics)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2006
• Volume: 110
• Issue: 4
• Pages: 459-470

Dates

published

2006-10

received

2006-07-26

Contributors

author

A. Soleyman

• Department of Physics, Teacher Training University, Tehran, Iran

author

H. Mehdian

• 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

Identifiers

DOI

10.12693/APhysPolA.110.459