Experimental determination of a nonlinear Hamiltonian in a synchrotron
Journal Article
·
· Physical Review Letters; (United States)
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- Indiana University Cyclotron Facility, Indiana University, Bloomington, Indiana 47405 (United States)
- Superconducting Super Collider Laboratory, 2550 Beckleymeade Avenue, Dallas, Texas 75237-3946 (United States)
- Brookhaven National Laboratory, Upton, New York 11973 (United States)
- Fermilab, P.O. Box 500, Batavia, Illinois 60510 (United States)
The nonlinear beam dynamics of transverse betatron oscillators were studied experimentally at the Indiana University Cyclotron Facility Cooler Ring. Particles were kicked onto resonance islands and the properties of these islands were studied. The island tune was determined with high precision by Fourier analyzing the spectrum containing the island oscillations. The island width was estimated based on a single-resonance model. The Hamiltonian of particle motion near a resonance condition was thus deduced.
- OSTI ID:
- 5095768
- Journal Information:
- Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 67:27; ISSN PRLTA; ISSN 0031-9007
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
43 PARTICLE ACCELERATORS
430400* -- Particle Accelerators-- Storage Rings
ACCELERATORS
BEAM DYNAMICS
BETATRONS
CYCLIC ACCELERATORS
DATA
DEVELOPED COUNTRIES
ENERGY SPECTRA
EXPERIMENTAL DATA
FOURIER ANALYSIS
HAMILTONIANS
INDIANA
INFORMATION
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NONLINEAR PROBLEMS
NORTH AMERICA
NUMERICAL DATA
PARTICLE MODELS
QUANTUM OPERATORS
RESONANCE
SINGLE-PARTICLE MODEL
SPECTRA
SYNCHROTRONS
USA
430400* -- Particle Accelerators-- Storage Rings
ACCELERATORS
BEAM DYNAMICS
BETATRONS
CYCLIC ACCELERATORS
DATA
DEVELOPED COUNTRIES
ENERGY SPECTRA
EXPERIMENTAL DATA
FOURIER ANALYSIS
HAMILTONIANS
INDIANA
INFORMATION
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NONLINEAR PROBLEMS
NORTH AMERICA
NUMERICAL DATA
PARTICLE MODELS
QUANTUM OPERATORS
RESONANCE
SINGLE-PARTICLE MODEL
SPECTRA
SYNCHROTRONS
USA