Abstract
Electron trajectories and small signal gains have been evaluated for a FEL with a constant wiggler and strong axial guide field. Two different injections into the wiggler are considered in this paper. The first case is that the electron beam is injected into an ideal helical orbit. In the second case, the electrons are injected parallel to the axial guide field. At the Doppler upshifted wiggler frequency the magnitudes of gain for the two types of injection tend to become identical. At the upshifted Larmor frequency the FEL gain is feasible. In the case of axial injection, small gains at frequencies higher than those obtained with perfect beam injection are also found possible. Effects of space charge, including enhancement in gain are discussed.
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