Effects of a nonlinear damping force in synchrotrons with electron cooling

Journal Article · Mon May 01 00:00:00 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 Univ., Bloomington, IN (United States)
• DOE Contract Number: FG02-93ER40801
• OSTI ID: 44841
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 51, Issue 5; Other Information: PBD: May 1995
• Country of Publication: United States
• Language: English

Related Subjects

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