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Dispersion relation and growth rate of a relativistic electron beam propagating through a Langmuir wave wiggler

Published online by Cambridge University Press:  14 January 2015

H. Zirak  and
S. Jafari
H. Zirak
Affiliation:
Department of Physics, University of Guilan, Rasht, 41335-1914, Iran
S. Jafari*
Affiliation:
Department of Physics, University of Guilan, Rasht, 41335-1914, Iran
*
†Email address for correspondence: SJafari@guilan.ac.ir
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Abstract

In this study, a theory of free-electron laser (FEL) with a Langmuir wave wiggler in the presence of an axial magnetic field has been presented. The small wavelength of the plasma wave (in the sub-mm range) allows obtaining higher frequency than conventional wiggler FELs. Electron trajectories have been obtained by solving the equations of motion for a single electron. In addition, a fourth-order Runge–Kutta method has been used to simulate the electron trajectories. Employing a perturbation analysis, the dispersion relation for an electromagnetic and space-charge waves has been derived by solving the momentum transfer, continuity, and wave equations. Numerical calculations show that the growth rate increases with increasing the e-beam energy and e-beam density, while it decreases with increasing the strength of the axial guide magnetic field.

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Type
Research Article
Information
Journal of Plasma Physics , Volume 81 , Issue 3 , June 2015 , 905810302
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Copyright © Cambridge University Press 2015 

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