Burt, G. and Jones, R. M. and Dexter, A. C. (2007) Analysis of Damping Requirements for Dipole Wake-Fields in RF Crab. IEEE Transactions on Nuclear Science, 54 (5). ISSN 0018-9499
Full text not available from this repository.Abstract
Several current particle-antiparticle collider designs require the beams to collide at a small angle. In order to make the luminosity comparable to that of beams colliding head-on, transverse deflecting cavities known as crab cavities will be used. Additional modes, other than the required “crabbing” mode are excited by the beam and if these are excited resonantly then an appreciable dilution of the beam emittance will occur. We provide a singlemode analysis of the damping requirements on the dipole modeswhich will minimize the resulting angular kicks to the beams, by deriving an explicit solution for the frequency offset of the mode from a bunch harmonic for maximum deflection of bunches, using a novel analytical technique.