Abstract
An analysis of the excitation of two space-charge waves in a cylindrical metallic waveguide filled with a relativistic electron beam is presented. The wiggler electrostatic potential is spatially periodic along the guide axis and has a radial dependence. A formula for the growth rate in the laboratory frame is derived in terms of an appropriate radial average of the wiggler potential amplitude. Effects of finite beam electron temperature are included and extension to a partially filled waveguide is discussed.
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