Chapter 6 Mon: Errors and Adjustments

6.1 Linear Errors and Adjustments

slides

ClosedOrbit.R \(~~~~~~\) TrajTrace.R \(~~~~~~\)

  • Steering errors and adjustments
  • Focusing errors and adjustments
  • Chromaticity and its adjustment
  • Rotations and linear coupling
  • Sensitivity analyses
    • alignment
    • construction and powering errors

6.2 Nonlinear Errors and Resonances

slides

SextPhaseSpace.R \(~~~~~~\)

Sextupole.mov \(~~~~~~\) ThirdExtract.mov \(~~~~~~\) HalfExtract.mov \(~~~~~~\) QuadScan.mov \(~~~~~~\)

  • Transverse motion in presence of sextupole field
    • sources of sextupole fields
    • the Henon Map
    • tune vs. amplitude and dynamic aperture
  • Comments on nonlinearities and resonances
    • harmonic multipoles
    • tune space and magic carpets
  • Compensation/Enhancement of resonances