Parametric resonances and stochastic layer induced by a phase modulation

Author

Liu, J.Y. ; Ball, M. ; Brabson, B. ; Budnick, J. ; Caussyn, D.D. ; Colestock, P. ; Derenchuk, V. ; East, G. ; Ellison, M. ; Friesel, D. ; Hamilton, B. ; Jones, W.P. ; Kang, X. ; Lee, S.Y. ; Li, D. ; Ng, K.Y. ; Pei, A. ; Riabko, A. ; Sloan, T. ; Syphers, M

Author_Institution

Cyclotron Facility, Indiana Univ., Bloomington, IN, USA

Volume

5

fYear

1995

fDate

1-5 May 1995

Firstpage

3340

Abstract

The Hamiltonian system with phase modulation in a higher harmonic RF cavity is experimentally studied on the IUCF cooler ring. The Poincare maps in the resonant rotating frame are obtained from experimental data and compared with numerical tracking. The formation of the stochastic layer due to the overlap of parametric resonances is discussed. The dependence of the stochastic layer on the voltage of the higher harmonic RF cavity, amplitude and frequency of the phase modulation is studied

Keywords

Poincare mapping; accelerator RF systems; accelerator cavities; cyclotrons; numerical analysis; phase modulation; proton accelerators; stochastic processes; Hamiltonian system; IUCF cooler ring; Poincare maps; higher harmonic RF cavity; numerical tracking; parametric resonances; phase modulation; resonant rotating frame; stochastic layer; Control systems; Motion analysis; Optical modulation; Particle beams; Phase modulation; Stability; Stochastic resonance; Stochastic systems; Synchrotrons; Voltage;

fLanguage

English

Publisher

ieee

Conference_Titel

Particle Accelerator Conference, 1995., Proceedings of the 1995

Conference_Location

Dallas, TX

Print_ISBN

0-7803-2934-1

Type

conf

DOI

10.1109/PAC.1995.505875

Filename

505875