Experimental measurements of a betatron difference resonance

Journal Article · Tue Nov 01 04:00:00 EST 1994 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States)

DOI:https://doi.org/10.1103/PhysRevE.50.4051· OSTI ID:6987141

Ellison, M; Ball, M; Brabson, B; Budnick, J; Caussyn, D D; Chao, A W; Derenchuk, V; Dutt, S; East, G; Friesel, D; Hamilton, B; Huang, H; Jones, W P; Lee, S Y; Li, D; Minty, M G; Ng, K Y; Pei, X; Riabko, A; Sloan, T ; Syphers, M; Wang, Y; Yan, Y; Zhang, P L ^[1]

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1. Indiana University Cyclotron Facility, Indiana University, Bloomington, Indiana 47405 (United States) The Superconducting Super Collider Laboratory, 2550 Beckleymeade Avenue, Dallas, Texas 75237-3946 (United States) Stanford Linear Accelerator Center, MS26, Box 4349, Stanford, California 94309 (United States) Fermilab, P.O. Box 500, Batavia, Illinois 60510 (United States)

The betatron difference resonance, [ital Q][sub [ital x]][minus]2[ital Q][sub [ital z]]=[minus]6, where the [ital Q][sub [ital x],][ital z] are the number of betatron oscillations per revolution, was studied at the Indiana University Cyclotron Facility cooler ring. Measurements of both vertical and horizontal coherent betatron oscillations were made, at a nonlinear resonance, after a pulsed dipole kick. We found that the Poincare surface of section for the nonlinear resonance could be described by a simple Hamiltonian. The resonance strength and phase, as well as the tune shift, as a function of betatron amplitude, were deduced from the experimental data. Attempts to deduce the amplitude and phase of the time dependent fluctuations around the time averaged Poincare surface of section will also be discussed.

• DOE Contract Number: FG02-93ER40801
• OSTI ID: 6987141
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States), Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States) Vol. 50:5; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

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