Synchrotron motion with rf phase modulation was studied experimentally. Poincaré maps in the resonant precessing frame were obtained from the experimental data and compared with the tori of the resonant Hamiltonian. Our experimental data revealed island structure in longitudinal phase space. Experimental results for synchrotron motion excited by phase modulation at the third harmonic of the synchrotron frequency are also reported.

• Received 28 June 1993

DOI:https://doi.org/10.1103/PhysRevE.48.4678