June 21, Friday: Beam manipulations

Longitudinal Stability and Beam Manipulations

Longitudinal Stability

[slides]

rftrack.py

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

[slides]