Hamiltonian formulation for synchrobetatron resonance driven by dispersion in RF cavities
Conference
·
· IEEE Trans. Nucl. Sci.; (United States)
OSTI ID:6298648
Synchrobetatron resonance driven by dispersion in RF cavities is studied by using the Hamiltonian formalism. Explicit expressions are given for the growth rate of betatron and synchrotron oscillation amplitudes on resonance and on fast-crossing of the resonance. The effect of distributed RF cavities is also studied, and it is shown that the resonance can be suppressed by proper arrangement of RF cavities. The theory is shown to agree fairly well with the computer simulation for PETRA and some numerical examples are given for the booster of the TRIUMF Kaon Factory project.
- Research Organization:
- National Laboratory for High Energy Physics, Oho-machi, Tsukuba-gun, Ibaraki-ken
- OSTI ID:
- 6298648
- Report Number(s):
- CONF-850504-
- Conference Information:
- Journal Name: IEEE Trans. Nucl. Sci.; (United States) Journal Volume: NS-32:5
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
43 PARTICLE ACCELERATORS
430200* -- Particle Accelerators-- Beam Dynamics
Field Calculations
& Ion Optics
430303 -- Particle Accelerators-- Experimental Facilities & Equipment
430400 -- Particle Accelerators-- Storage Rings
ACCELERATORS
BEAM DYNAMICS
BETATRON OSCILLATIONS
CAVITY RESONATORS
COMPUTERIZED SIMULATION
CYCLIC ACCELERATORS
CYCLOTRONS
ELECTRONIC EQUIPMENT
EQUIPMENT
HAMILTONIANS
INSTABILITY GROWTH RATES
ISOCHRONOUS CYCLOTRONS
MATHEMATICAL OPERATORS
OSCILLATIONS
PARTICLE BOOSTERS
PETRA STORAGE RING
QUANTUM OPERATORS
RESONANCE
RESONATORS
RF SYSTEMS
SIMULATION
STORAGE RINGS
SYNCHROTRON OSCILLATIONS
TRIUMF CYCLOTRON
430200* -- Particle Accelerators-- Beam Dynamics
Field Calculations
& Ion Optics
430303 -- Particle Accelerators-- Experimental Facilities & Equipment
430400 -- Particle Accelerators-- Storage Rings
ACCELERATORS
BEAM DYNAMICS
BETATRON OSCILLATIONS
CAVITY RESONATORS
COMPUTERIZED SIMULATION
CYCLIC ACCELERATORS
CYCLOTRONS
ELECTRONIC EQUIPMENT
EQUIPMENT
HAMILTONIANS
INSTABILITY GROWTH RATES
ISOCHRONOUS CYCLOTRONS
MATHEMATICAL OPERATORS
OSCILLATIONS
PARTICLE BOOSTERS
PETRA STORAGE RING
QUANTUM OPERATORS
RESONANCE
RESONATORS
RF SYSTEMS
SIMULATION
STORAGE RINGS
SYNCHROTRON OSCILLATIONS
TRIUMF CYCLOTRON