Hostname: page-component-7bb8b95d7b-s9k8s Total loading time: 0 Render date: 2024-10-05T19:04:32.586Z Has data issue: false hasContentIssue false

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
Affiliation:
Department of Physics, Iran University of Science and Technology, Tehran, Iran (mahdi@iust.ac.ir)
MAHDI ESMAEILZADEH
Affiliation:
Department of Physics, Iran University of Science and Technology, Tehran, Iran (mahdi@iust.ac.ir)
JOSEPH E. WILLETT
Affiliation:
Department of Physics and Astronomy, University of Missouri-Columbia, Columbia, MO 65211, USA (willettje@missouri.edu)
LORI J. WILLETT
Affiliation:
Department of Mathematics, University of New Orleans, New Orleans, LA 70148, USA

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
Copyright
2005 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)