Negative resistance instability due to nonlinear damping

Journal Article · Mon Nov 14 00:00:00 EST 1994 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.73.2696· OSTI ID:6832280

Caussyn, D D; Ball, M; Brabson, B; Budnick, J; Derenchuk, V; East, G; Ellison, M; Friesel, D; Hamilton, B; Hedblom, K; Jones, W P; Lee, S Y; Li, D; Liu, J Y; Lofnes, T; Ng, K Y; Riabko, A; Sloan, T; Wang, Y ^[1]

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1. Indiana University Cyclotron Facility, 2401 Milo B. Sampson Lane, Bloomington Indiana 47408 (United States) Uppsala University, The Svedberg Laboratory, Box 533, S-75121, Uppsala (Sweden) Fermilab, P.O. Box 500, Batavia, Illinois 60510 (United States)

The longitudinal dynamics of a stored proton beam bunch, acted upon by a nonlinear damping force, was studied experimentally at the Indiana University Cyclotron Facility Cooler Ring. The effect of the nonlinear damping force on synchrotron motion was explored by varying the relative velocity between the cooling electron and the stored proton beams. Maintained longitudinal oscillations were observed, whose amplitude grew rapidly once a critical threshold in the relative velocity between the proton and electron beams was exceeded. We attribute this phenomenon to a negative resistance instability occurring after a Hopf bifurcation.

• DOE Contract Number: FG02-93ER40801
• OSTI ID: 6832280
• Journal Information: Physical Review Letters; (United States), Vol. 73:20; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
PROTONS
BEAM BUNCHING
BIFURCATION
BEAM COOLING
COMPUTERS
DAMPING
ELECTRONS
ENERGY DEPENDENCE
EXPERIMENTAL DATA
FREQUENCY DEPENDENCE
INSTABILITY
ION SOURCES
MEV RANGE 10-100
NONLINEAR PROBLEMS
STEADY-STATE CONDITIONS
STORAGE RINGS
STORED ENERGY
SYNCHROTRONS
THRESHOLD ENERGY
VARIATIONS
VELOCITY
ACCELERATORS
BARYONS
BEAM DYNAMICS
CYCLIC ACCELERATORS
DATA
ELEMENTARY PARTICLES
ENERGY
ENERGY RANGE
FERMIONS
HADRONS
INFORMATION
LEPTONS
MEV RANGE
NUCLEONS
NUMERICAL DATA
PHYSICAL PROPERTIES
THERMODYNAMIC PROPERTIES
430200* - Particle Accelerators- Beam Dynamics
Field Calculations
& Ion Optics