Quasi-closed orbit in a harmonically perturbed magnetic field

Conference · Sun Nov 01 00:00:00 EST 1992 · AIP Conference Proceedings (American Institute of Physics); (United States)

OSTI ID:6726160

Stupakov, G V ^[1]

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1. Superconducting Super Collider Laboratory, Dallas, Texas 75237 (United States)

The paper generalizes a notion of the closed orbit for the case when the accelertor lattice is perturbed by a time-dependent harmonic dipole field. The problem is motivated by effects of current ripple in a proton accelerator. Our result allows to estimate the amplitude of the beam excursions as a function of the amplitude and the frequency of the perturbation. It predicts that the deviation of the beam increases as the frequency of the ripple approaches the sideband betatron frequency.

• OSTI ID: 6726160
• Report Number(s): CONF-921077-; CODEN: APCPCS
• Journal Information: AIP Conference Proceedings (American Institute of Physics); (United States), Vol. 292:1; Conference: Workshop on the stability of particle motion in storage rings, Upton, NY (United States), 19-24 Oct 1992; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
ACCELERATORS
BEAM DYNAMICS
BETATRON OSCILLATIONS
CALCULATION METHODS
DISTURBANCES
EQUATIONS OF MOTION
MAGNETIC FIELDS
STABILITY
TIME DEPENDENCE
DIFFERENTIAL EQUATIONS
EQUATIONS
OSCILLATIONS
PARTIAL DIFFERENTIAL EQUATIONS
430200* - Particle Accelerators- Beam Dynamics
Field Calculations
& Ion Optics