Section 5 Nonlinear Motion and Error Fields
5.1 Nonlinear synchrotron motion
- Slides
- difference equations and the Standard Map
-Rexample - bucket area, momentum acceptance
- synchrotron tune and amplitude dependence
- adiabatic acceleration
- buckets, bunches, batches and trains
- bunch coalescing and barriers
- Longitudinal Manipulations
5.2 Linear and nonlinear transverse errors
- Slides
- overview of linear errors
+ misalignment tolerances TrajTrace.nb.html
+ linear field error tolerances ClosedOrbit
+ effects of linear coupling
- a sextupole and the Henon Map Sextupole
- comments on properites of nonlinear systems Henon Phase Space
- resonances and the tune plane
- dynamic aperture and tune spread
- slow resonant extraction HalfInteger ++ ThirdInteger