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Dispersion relation and growth rate in a free-electron laser with a background plasma

Published online by Cambridge University Press:  04 February 2015

T. Mohsenpour  and
B. Maraghechi
T. Mohsenpour*
Affiliation:
Department of Physics, Faculty of Basic Sciences, University of Mazandaran, P. O. Box 47416-95447, Babolsar, Iran
B. Maraghechi
Affiliation:
Department of Physics, Amirkabir University of Technology, P.O. Box 15875-4413, Tehran, Iran
*
†Email address for correspondence: mohsenpour@umz.ac.ir
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Abstract

The method of perturbation has been applied to derive a general dispersion relation for a free-electron laser (FEL) with background plasma and helical wiggler in the presence of an axial magnetic field. This dispersion relation is solved numerically to find unstable interactions among all of the wave modes. Numerical calculations show that new coupling between the left wave and positive-energy space-charge of electron beam are found when wiggler induced velocity is large. This coupling does not change with increasing the plasma density. The growth rate of FEL is changed with increasing the plasma density and the normalized axial magnetic field.

Type
Research Article
Information
Journal of Plasma Physics , Volume 81 , Issue 3 , June 2015 , 905810311
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Copyright
Copyright © Cambridge University Press 2015 

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