Abstract
In this study, the equilibrium orbits and their stability, under the influence of self-electric and self-magnetic fields, are analyzed. A dispersion relation for the Raman regime free electron laser with a helical wiggler magnetic field and ion-channel guiding is derived and analyzed, taking into account self-field effects of the electron beam. This dispersion relation is solved numerically to study unstable couplings between all wave modes. New unstable orbits, in the first part of the group I orbits and in the resonance region of the group II orbits, are found. It was found that self-fields reduce the growth rate of the group I orbits and increase it in the group II orbits.
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