Abstract
A new free-electron laser (FEL) scheme, using a periodic electrostatic field superposed on an electrostatic centrifugal system, is presented. By means of linear fluid theory, the Raman FEL dispersion equation is derived. We show that there is a new FEL instability near the electron transverse resonance besides the usual one near the beam resonance. The operating conditions, emission frequencies, and maximum growth rates of these two kinds of instabilities are obtained analytically. It is found that these results are in quite good agreement with numerical solutions of the dispersion equation.
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