Abstract
The role of a strong and high-periodic toroidal magnetic-field ripple (the TF ripple) in charged particle confinement is investigated for the torsatron/heliotron magnetic devices [K. Uo, J. Phys. Soc. Jpn. 16, 1380 (1961)] with N discrete toroidal field coils in the helical field period. Caused by currents in these coils, such a ripple involves the appearance of additional toroidal ripple wells along the field line, in which charged particles may be trapped. To analyze the confinement character of the TF ripple-trapped particles, the method of a double averaging of their equations of motion is developed. It is shown that the suprathermal particles, which are trapped in the separately located TF ripple wells of the magnetic field, are the most dangerous for confinement because the radial deviations of these particles are N2 times higher than the corresponding values for the helically ripple-trapped particles. An additional type of superbanana orbit caused by the TF ripple perturbation of the magnetic field is also found.
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