Longitudinal
Phase Space
Simulations:
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- Matched Bunch: (Almost) correct ratio of the principal axes
Phase space plot - Dipole Oscillation: A very short bunch is placed off-center in the bucket (simulation is strongly exaggerated).
Phase space plot
Beam signal - Quadrupole Oscillation: The bunch is centered, but the ratio of the principal axes is not correct.
Phase space plot
Beam signal (simulation)
Beam signal (measurement) - Adiabatic Bunching: Capture of a coasting beam by increasing the gap voltage at h=4
Phase space plot - De- and Re-Bunching: At the beginning, 1 of 4 buckets is filled, 3 buckets remain empty. By adiabatic debunching, a coasting beam is generated. Re-bunching leads to all 4 buckets being filled.
Phase space plot - Bunch Compression: After an adiabatic capture process at h=4, a fast bunch compression (1/4 rotation in phase space) is performed.
Phase space plot
Beam signal - Dual Harmonic Operation: At the beginning, a bunch in a single-harmonic bucket is present. Then, the bunch is flattened by adiabtically increasing the second harmonic voltage to 50% of the voltage at the first harmonic.
Phase space plot
Total gap voltage
Beam signal - Bunch Merging: After an adiabatic capture process at h=8, the RF amplitude at h=8 is decreased slowly while an amplitude at h=4 is increased.
Phase space plot
Total gap voltage
Beam signal
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