Single particle dynamics at synchro-betatron coupling resonances

Journal Article · Wed Jun 01 00:00:00 EDT 1994 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States)

DOI:https://doi.org/10.1103/PhysRevE.49.5706· OSTI ID:7235056

Lee, S Y ^[1]

---

1. Department of Physics, Indiana University, Bloomington, Indiana 47405 (United States)

The action-angle variables for the longitudinal motion in synchrotrons are defined to conform with that of the transverse degrees of freedom. The Hamiltonian due to synchro-betatron coupling resonances is formulated in terms of these action-angle variables. A method for the calculation of the synchro-betatron resonance strength is discussed. The dynamics of particle motion near a resonance condition in the presence of nonlinear detuning is studied. The hysteresis phenomena associated with these resonances are discussed and employed to deduce the resonance Hamiltonian from experimental data.

• DOE Contract Number: FG02-93ER40801
• OSTI ID: 7235056
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States), Vol. 49:6; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
SYNCHROTRONS
BEAM DYNAMICS
ACTION INTEGRAL
BETATRONS
EQUATIONS OF MOTION
HYSTERESIS
NONLINEAR PROBLEMS
RESONANCE
ACCELERATORS
CYCLIC ACCELERATORS
DIFFERENTIAL EQUATIONS
EQUATIONS
INTEGRALS
PARTIAL DIFFERENTIAL EQUATIONS
430200* - Particle Accelerators- Beam Dynamics
Field Calculations
& Ion Optics