Effects of a nonlinear damping force in synchrotrons with electron cooling

Journal Article · Mon May 01 04:00:00 EDT 1995 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.51.4947· OSTI ID:44841

Caussyn, D D; Ball, M; Budnick, J; East, G; Ellison, M; Hamilton, B; Hedblom, K; Kang, X; Lee, S Y; Li, D; Liu, J Y; Ng, K Y; Riabko, A; Wang, L; Wang, Y ^[1]

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1. Indiana University Cyclotron Facility, 2401 Milo B. Sampson Lane, Bloomington, Indiana 47408 (United States)

The longitudinal dynamics of a stored proton beam bunch, under the influence of a nonlinear damping force produced by electron cooling, was studied experimentally. The effect of the nonlinear damping force was explored by varying the relative velocity between the cooling electrons and the stored protons. Maintained longitudinal oscillations developed, which grew rapidly once a critical threshold in the relative velocity was exceeded. The bifurcation of a fixed point into a limit cycle is also known as a Hopf bifurcation. Comparisons of experimental data with numerical simulations and analytical calculations are made. Implications for cooled beam acceleration will be discussed.

• Research Organization: Indiana University
• DOE Contract Number: FG02-93ER40801
• OSTI ID: 44841
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 5 Vol. 51; ISSN 1063-651X; ISSN PLEEE8
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
BEAM DYNAMICS
DAMPING
ELECTRON COOLING
MEV RANGE 10-100
OSCILLATIONS
PROTON BEAMS
STORAGE RINGS
SYNCHROTRONS