June 24, Monday: Errors and Adjustments

Errors and Adjustments

Beam Optics Modules

[slides]

  • FODO cell, quadrupole doublet, triplet
  • Telescopic system
  • Quarter-wave transformer
  • Straight section insertions
  • Low-beta final focus insertions
  • Dispersion inserts and suppression
  • Achromatic systems
  • Isochronous systems
  • Charge/mass separators
  • Chicanes

Whiteboard time

Linear Errors and Adjustments

[slides]

ClosedOrbit.R, SextPhaseSpace.R

  • Steering errors and adjustments
  • Focusing errors and adjustments
  • Chromaticity and its adjustment
  • Rotations and linear coupling

Nonlinear Errors and Resonances

[slides]

Sextupole.mov, HalfExtract.mov, ThirdExtract.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

See also:

Lecture notes by Linda Spentzouris:

  • Errors and corrections: dipole errors and correction, gradient errors and correction, momentum dependent effects, transverse resonanses