Author/Authors :
Li، نويسنده , , D. and Ball، نويسنده , , M. and Brabson، نويسنده , , B. and Budnick، نويسنده , , J. and Caussyn، نويسنده , , D.D. and Chao، نويسنده , , A.W. and Derenchuk، نويسنده , , N. V. K Dutt، نويسنده , , S. and East، نويسنده , , G. and Ellison، نويسنده , , M. and Friesel، نويسنده , , D. and Hamilton، نويسنده , , B. and Huang، نويسنده , , H. and Jones، نويسنده , , WP Andrew Lee، نويسنده , , S.Y. and Liu، نويسنده , , J.Y. and Minty، نويسنده , , M.G. and Ng، نويسنده , , K.Y. and Pei، نويسنده , , X. and Riabko، نويسنده , , A. and Sloan، نويسنده , , T. and Syphers، نويسنده , , M. and Wang، نويسنده , , Y. and Yan، نويسنده , , Y. and Zhang، نويسنده , , P.L.، نويسنده ,
Abstract :
The effects of rf voltage modulation on synchrotron motion were studied experimentally. The experimental data revealed the resonance islands generated by the rf voltage modulation. With electron cooling, beam particles were observed to damp to the basins of these resonance islands or attractors, which were observed to rotate about the origin of the phase space at a half of the modulation frequency. The measured amplitude of the attractors as a function of the modulation frequency agreed very well with the theoretical prediction. The Poincaré maps in the resonance rotating frame were obtained from the experimental data and compared with tori of the Hamiltonian flow. Based on our theoretical formulation, slow beam extraction using rf voltage modulation and a bent crystal are also studied.
