Analysis of Multi-Turn Beam Position Measurements in the CERN PS

The observation of betatron oscillations following a deflection by a kicker pulse offers the possibility to study various machine parameters. The decoherence and recoherence of a bunch's centre-of-charge signal, for example, is governed by chromaticity, momentum spread and transverse nonlinearities. The multi-turn acquisition system of the CERN PS is able to store beam position information of about 2000 turns. A careful analysis of such data can be used to extract estimates of the parameters involved, as well as to reconstruct the beam dynamics in phase space. Experimental results are compared to existing models