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

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 wav...

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Bibliographic Details
Published inJournal of plasma physics Vol. 81; no. 3; p. np
Main Authors Mohsenpour, T., Maraghechi, B.
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.06.2015
Subjects
Dispersions
Electrons
Free electron lasers
Joining
Lasers
Magnetic fields
Mathematical analysis
Mathematical models
Perturbation methods
Plasma density
Plasma physics
Studies
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Summary: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.
Bibliography:ObjectType-Article-1
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ISSN:0022-3778
1469-7807
DOI:10.1017/S0022377815000033