Analysis of microscopic instability for rotating LIB

The instability of a neutral hollow beam is investigated within the framework of the Vlasov-Maxwell equations. It is assumed that the hollow beam is thin with the radial thickness a which is much smaller than the major radius R0, and that the equilibrium beam charge is neutralized by the background electron charge. The stability analysis is carried out for perturbations about the beam equilibrium distribution function fsub(b)0. The detailed instability properties are calculated for a variety of system parameters. (author)