June 9, Thursday: Longitudinal Motion

Accelerating Cavities + Longitudinal Motion (X. Lu)

Accelerating Cavities

[slides]

  • Why RF acceleration?

  • How do resonant accelerator cavities work?

  • Cavity modes

  • Different types of accelerating structures

  • Figures of merit to characterize accelerating cavities

  • Cavity coupling and RF sources

  • Gradient limitation of RF cavities and Advanced Accelerator Research

Longitudinal Motion

[slides]

  • Ideal synchronous particle and ideal timing

  • Time of flight and slip factor

  • Bunching

  • Adiabatic damping and normalized emittance

See also:

Lecture notes by Linda Spentzouris:

  • Accelerating structures: accelerating structures, resonant modes, Feynman derivation of electric field in resonant cylindrical cavities

  • Longitudinal dynamics: longitudinal beam structure, difference and differential equations, energy error to travel time error, phase space trajectories, synchrotron frequency