June 21, Friday: Beam manipulations
Longitudinal Stability and Beam Manipulations
Longitudinal Stability and Beam Manipulations
Longitudinal Stability
Longitudinal Stability
BucketXform.mov, Transition.mov, Accel1.mov, Accel2.mov, AdiabCap.mov
- The linac and the synchrotron
- The harmonic number h = L/(beta*lambda)
- Difference equations and matrix solution for stable motion
- Longitudinal (synchrotron) oscillations; synchrotron tune
- Longitudinal emittance and adiabatic damping of phase oscillations
- Transition energy and transition crossing
- The inherent nonlinearity of longitudinal motion
- Buckets, bunches, batches and trains
Glass Optics and transfer matrices
Glass Optics and transfer matrices