The Effect of Ion-Channel Guiding on the Chaotic Electron Trajectories in a Free Electron Laser |
| S. Saviz and H. Mehdian
Department of Physics, Teacher Training University, Tehran, Iran |
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| Received: 14 02 2005; |
| 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=ωpb2/4ω2c, is increased, the density of the ion-channel guiding, i.e. αi=ω2pi/4ω2c, 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. |
| DOI: 10.12693/APhysPolA.107.895 PACS numbers:41.60.Cr |