Experimental determination of a nonlinear Hamiltonian in a synchrotron

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 Fo...

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Bibliographic Details
Published in:Physical review letters 1991-12, Vol.67 (27), p.3768-3771
Main Authors: Lee, SY, Ball, M, Brabson, B, Caussyn, DD, Collins, J, Curtis, S, Derenchuck, V, V, DuPlantis, D, East, G, Ellison, M, Ellison, T, Friesel, D, Hamilton, B, Jones, WP, Lamble, W, Li, D, Minty, MG, Schwandt, P, Sloan, T, Xu, G, Chao, AW, Tepikian, S, Ng, KY
Format: Article
Language:English
Subjects:
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 ACCELERATORS
PARTICLE MODELS
QUANTUM OPERATORS
RESONANCE
SINGLE-PARTICLE MODEL
SPECTRA
SYNCHROTRONS
USA 430400 > Particle Accelerators-- Storage Rings
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Summary: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.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.67.3768