A BEAM TRACKING OF A COMPACT STORAGE RING USING SUPERCONDUCTING BENDING MAGNETS

The tolerances of imperfections of superconducting bending magnets in a compact storage ring have been estimated. The storage ring, which is under construction, is a race-tracked type with combined function bending magnets. A tracking code "PROVIDENCE," which calculates a particle's orbit with a numerical integration of exact equations of motion has been used. The results of calculating dynamic apertures with modelized three-dimensional (3-D) magnetic fields show that multipole errors must be suppressed with (sextupole errors) less-than-or-equal-to 20[T/m2], (octupole errors) less-than-or-equal-to 110[T/m3], where the dynamic aperture is defined as a stable amplitude area with nominal aperture limitation in this paper. The dynamic aperture with actual magnetic fields has been also calculated. The result shows that the superconducting bending magnets have enough good field regions, and that the ring has a sufficient dynamic aperture: \x\ congruent-to 30 mm and \y\ congruent-to 50 mm.