June 18, Tuesday: Longitudinal motion
Longitudinal Motion
Longitudinal Motion
Accelerating Structures
Accelerating Structures
- Time varying fields and accelerating gap
- Transit Time Factor
- The pillbox cavity – essential properties
- Resonant Structures
- Standing wave vs. traveling wave and multi-cell structures
Longitudinal Focusing (J. Kunz)
Longitudinal Focusing (J. Kunz)
[slides]
- Ideal synchronous particle and ideal timing
- Time of flight and slip factor
- Longitudinal focusing
- Beam bunchers, rebunchers, debunchers
Transverse Effects of Longitudinal Motion (T. Mohayai)
Transverse Effects of Longitudinal Motion (T. Mohayai)
- Adiabatic damping of betatron oscillations due to acceleration
- Adiabatic damping and normalized emittance
- Momentum dispersion
- equation of motion of off-momentum particle
- momentum compaction and slip factors
Whiteboard time (move up next time)
Whiteboard time (move up next time)
See also:
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