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Chaotic electron trajectories in a free-electron laser with helical wiggler and ion-channel guiding

Published online by Cambridge University Press:  25 November 2005

MOHAMMAD S. FALLAH ,
MAHDI ESMAEILZADEH ,
JOSEPH E. WILLETT  and
LORI J. WILLETT
MOHAMMAD S. FALLAH
Affiliation:
Department of Physics, Iran University of Science and Technology, Tehran, Iran ([email protected])
MAHDI ESMAEILZADEH
Affiliation:
Department of Physics, Iran University of Science and Technology, Tehran, Iran ([email protected])
JOSEPH E. WILLETT
Affiliation:
Department of Physics and Astronomy, University of Missouri-Columbia, Columbia, MO 65211, USA ([email protected])
LORI J. WILLETT
Affiliation:
Department of Mathematics, University of New Orleans, New Orleans, LA 70148, USA
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Abstract

An analysis of relativistic electron trajectories in a free-electron laser with a helical magnetic wiggler and an ion channel is presented. The wiggler field amplitude and the ion number density are taken to be uniform. Also included are the self-electric and self-magnetic fields of the electron beam, which is assumed to be of constant velocity and electron number density. The Hamiltonian, which is a constant of the motion, is first expressed in cartesian coordinates and momenta. A second constant of the motion is obtained by canonical transformation. The steady-state orbits, Poincaré maps, and Liapunov exponents are employed to investigate the chaotic motion in the presence of the ion channel. Numerical calculations reveal conditions under which chaotic and non-chaotic orbits exist.

Type
Papers
Information
Journal of Plasma Physics , Volume 72 , Issue 3 , June 2006 , pp. 341 - 349
Copyright
2005 Cambridge University Press

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