Abstract
An analysis of the parametric instability which forms the basis for operation of a ubitron-type free electron laser with a longitudinal electric wiggler is presented. Excitation of a space charge wave and a predominantly transverse magnetic waveguide mode results from passage of a relativistic electron beam through a static spatially periodic longitudinal electric field. The beam is contained in a cylindrical metal waveguide and an axial magnetic field of arbitrary magnitude. Effects of the magnetic field on the growth rate, efficiency, radiation wavelength and the required pump wavelength are studied. Suitable values of the magnitude of the magnetic field and other parameters for generating millimetre wavelength radiation are indicated.
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