June 20, Thursday: Motion of periodic systems

Motion of Periodic Systems

General Comments (T. Mohayai)

[slides]

  • Periodic, repetitive systems and time scales
  • Matrix analysis of linear motion
  • The stability criterion

Transverse Stability (J. Kunz)

[slides]

  • Application to the Weak-Focusing Betatron/Synchrotron
  • Application to the Strong-Focusing Synchrotron
  • Application to FODO
  • Periodic Courant-Snyder parameters

Group Photo at 10:30 am

Whiteboard time 11:00-12:00

Longitudinal stability moved to Friday

See also:

Lecture notes by Linda Spentzouris:

  • Longitudinal dynamics: longitudinal beam structure, difference and differential equations, energy error to travel time error, phase space trajectories, synchrotron frequency
  • Transverse dynamics: magnetic fields, equations for transverse motion, machine tune and the Twiss parameters, transfer maps