Dynamical analysis on the longitudinal motion of trapped ions in an electron storage ring

Abstract Transport properties of trapped ions in an electron storage ring were studied analytically and by a computer simulation with a particular regard to the fringe field of bending magnets. It has been found that the fringe field works as a potential barrier for the longitudinal motion of trapped ions because of its field gradient. The ions are reflected by the fringe field or transmitted through the bending field depending on initial conditions. Analytical results including reflection condition are confirmed by the simulation, and compared with experimental results.