Js. Berg et Rd. Ruth, TRANSVERSE INSTABILITIES FOR MULTIPLE NONRIGID BUNCHES IN A STORAGE-RING, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 52(3), 1995, pp. 2179-2182
describe a method for determining the stability of a system consisting
of several highly relativistic bunches of charged particles circulati
ng in a storage ring. The particles interact with magnets designed to
guide the beam as well as with electromagnetic fields induced by the p
articles themselves. Previous calculations considered multibunch modes
with one type of internal motion; our method includes coupling betwee
n these modes. We also include effects of feedback systems designed to
correct these dipole motions. We include an example from a real stora
ge ring design.