Free electron laser with longitudinal wiggler and finite magnetic field in a partially filled waveguide

The operative mechanism for a free electron laser with a longitudinal electrostatic wiggler is analyzed. A theory is developed that allows for an arbitrary axial magnetic guide field and arbitrary ratio of the electron beam radius a to the waveguide inner radius R. Dispersion equations for the eigen...

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Bibliographic Details
Published in:Physics of plasmas 1996-03, Vol.3 (3), p.1130-1136
Main Authors: Mehdian, Hassan, Willett, Joseph E., Maraghechi, Behrouz, Aktas, Yildirim
Format: Article
Language:English
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Summary:The operative mechanism for a free electron laser with a longitudinal electrostatic wiggler is analyzed. A theory is developed that allows for an arbitrary axial magnetic guide field and arbitrary ratio of the electron beam radius a to the waveguide inner radius R. Dispersion equations for the eigenmodes of a waveguide containing a magnetized electron beam and a formula for the spatial growth rate of parametrically excited eigenmodes are derived. The growth rate, efficiency, radiation wavelength, and required pump wavelength are studied numerically as functions of the ratio a/R. It is shown that excitation of the upper branch or lower branch of an electric–magnetic (EH) waveguide mode can be achieved with suitably chosen values for the system parameters.
ISSN:1070-664X
1089-7674
DOI:10.1063/1.871769