Nonlinear resonance studies at the synchrotron radiation center, Stoughton, Wisconsin

摘要

A single bunch is stored in ALADDIN at 800 MeV. The coherent oscillations produced by a fast kicker are recorded for each turn at two horizontal position detectors separated by pi /2 in phase. Displaying the recorded positions on horizontal and vertical axes produces a phase plot of the coherent motion. Resonances are produced by adding a controlled amount of sextupole field. The results are compared with computer simulations. To adequately describe the behavior near unstable fixed points the finite size of the beam must be taken into account.