Nonlinear betatron oscillations
- Resource Type
- Authors
- Bruno Autin
- Source
- Subject
- Physics
Nonlinear system
Classical mechanics
Lattice (order)
Chromatic aberration
Antiproton Collector
Physics::Accelerator Physics
Equations of motion
Chromaticity
Multipole expansion
Betatron
Accelerators and Storage Rings
Computational physics
- Language
- English
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.