Wed: Longitudinal Motion
Accelerating Structures
slides
- Time varying fields and accelerating gap
- Transit Time Factor
- The pillbox cavity – essential properties
- Resonant Structures – quarter-wave, half-wave, etc.
- Standing wave vs. traveling wave and multi-cell structures
Longitudinal Focusing
slides
- Ideal synchronous particle and ideal timing
- Time of Flight and Slip Factor
- Longitudinal focusing
- Beam bunchers, rebunchers, debunchers
Transverse Effects of Longitudinal Motion
slides
- Adiabatic damping of betatron oscillations due to acceleration
- Momentum dispersion
- equation of motion of off-momentum particle
- use of 3-D matrices
- momentum compaction
- RF (transverse) defocusing through an accelerating gap