EFFECTS OF THE SYNCHRO-BETATRON COUPLING INDUCED BY DIPOLE-FIELD MODULATION

The synchro-betatron coupling induced by modulating a transverse dipol e field at a frequency close to the synchrotron frequency was studied experimentally. The combination of the electron cooling and transverse -field modulation on the synchrotron oscillation is equivalent to a di ssipative parametric resonant system. Six-dimensional Poincare maps we re measured at ten-turn intervals. The proton bunch was observed to sp lit longitudinally into two pieces, or beamlets, converging toward att ractors of the dissipative system within a rf bucket. Based on our exp erimental results, the effects of ground vibration on the superconduct ing supercollider beam and the effects of power-supply ripple on the r elativistic heavy-ion collider beam are examined.