Dynamics of the transverse oscillations of an electron beam in a tellarator

The transverse oscillations of a thin electron beam in a stellarator or in a modified betatron were theoretically studied. The analysis is based on the relativistic Lorentz equation for intrinsic fields of the electron beam calculated by the method of retarded potential. Conditions for an instability development caused by the stellarator field inhomogeneity are determined. It is shown that a stellarator may also feature other instabilities of the transverse oscillations which are not related to the stellarator field inhomogeneity.