Je. Willett et al., MAGNETIC-FIELD EFFECTS IN A FREE-ELECTRON LASER WITH LONGITUDINAL ELECTRIC WIGGLER, Journal of physics. D, Applied physics, 27(2), 1994, pp. 211-218
An analysis of the parametric instability which forms the basis for op
eration of a ubitron-type free electron laser with a longitudinal elec
tric wiggler is presented. Excitation of a space charge wave and a pre
dominantly transverse magnetic waveguide mode results from passage of
a relativistic electron beam through a static spatially periodic longi
tudinal electric field. The beam is contained in a cylindrical metal w
aveguide and an axial magnetic field of arbitrary magnitude. Effects o
f the magnetic field on the growth rate, efficiency, radiation wavelen
gth and the required pump wavelength are studied. Suitable values of t
he magnitude of the magnetic field and other parameters for generating
millimetre wavelength radiation are indicated.