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  1. 1 Acta Physica Polonica A

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  1. 1 2005

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  1. 1 Mehdian H.

  2. 1 Saviz S.

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The Effect of Ion-Channel Guiding on the Chaotic Electron Trajectories in a Free Electron Laser

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Saviz S., Mehdian H.
Acta Physica Polonica A
|
2005
|
vol. 107
|
issue 6
895-906
EN
It has been confirmed that when the equilibrium self-fields were taken into account, the motion of an electron in a helical wiggler with axial magnetic field may be chaotic. In this paper, the effect of an ion-channel guiding on the chaotic electron trajectories is analyzed. It is shown that the ion-channel guiding may modify the chaotic electron trajectories. It is also found that when the parameter ε, i.e. ε=ω_{pb}^2/4ω^2_c, is increased, the density of the ion-channel guiding, i.e. α_i=ω^2_{pi}/4ω^2_c, must be increased to keep the modification of the chaotic motion. The chaotic trajectories for constant parameter ε and increased density of the ion-channel guiding are presented. Numerical calculations are used to find the intersection between steady state group I and group II and resonance curves. Poincaré surface-of-section maps are generated to demonstrate the chaotic electron trajectories with axial magnetic field and its modification in the presence of an ion-channel guiding.
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