Nonlinear betatron oscillations

Conference · Wed Feb 25 00:00:00 EST 1987 · AIP Conf. Proc.; (United States)

OSTI ID:5524208

Autin, B

Nonlinear fields are so important in modern accelerators or storage rings that they have to be included in the basic lattice design for both chromaticity correction and aperture determination. The power of prediction of a nonlinear theory is not yet firm enough and numerical simulations are necessary. These lectures deal with the principles of particle tracking, the equations of the betatron motion and the envelope distortions and tune shifts induced by multipole fields. The theory is applied to the correction of beam envelope distortions produced by chromaticity sextupoles in a large acceptance machine, the Antiproton Collector.

• Research Organization: CERN, Geneva, Switzerland
• OSTI ID: 5524208
• Report Number(s): CONF-850771-
• Journal Information: AIP Conf. Proc.; (United States), Vol. 153:1; Conference: SLAC summer school on the physics of high energy particle accelerators, Stanford, CA, USA, 15 Jul 1985
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
ACCELERATORS
BETATRON OSCILLATIONS
PARTICLE BEAMS
BEAM DYNAMICS
BEAM FOCUSING MAGNETS
CHROMATIC ABERRATIONS
EQUATIONS OF MOTION
NONLINEAR PROBLEMS
BEAMS
DIFFERENTIAL EQUATIONS
ELECTRICAL EQUIPMENT
ELECTROMAGNETS
EQUATIONS
EQUIPMENT
MAGNETS
OSCILLATIONS
PARTIAL DIFFERENTIAL EQUATIONS
430200* - Particle Accelerators- Beam Dynamics
Field Calculations
& Ion Optics