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Titlebook: Stochastic Cooling of Particle Beams; Dieter Möhl Book 2013 Springer-Verlag Berlin Heidelberg 2013 Fokker-Plank equation.Nobel Prize in Ph

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Simplified Theory, Time-Domain Picture, to other antennae further downsream to correct the barycentre errors. Stochastic cooling works by correcting barycentre errors over many turns in the ring. High system bandwidths correspond to short samples, large statistical barycentre errors, and therefore fast cooling.
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Simplified Theory, Time-Domain Picture,avoidably, it will have been injected with some small error in position and angle with respect to the ideal orbit (centre of the vacuum chamber). As the focusing system continuously tries to restore the resultant deviation, the particle oscillates around the ideal orbit. The feedback system observes
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Feedback via the Beam-Signal Shielding,previous results by at most a factor of 2, the change of the beam signals when the cooling loop is closed/opened has become an important diagnostics tool. The effect on transverse cooling is explained and then a generalisation is presented to include the longitudinal case.
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Other Special Applications,ower energy machines. It is shown how Fokker-Planck equations can be used in an approximate way in numerical simulations, neglecting the synchrotron resonances to deal with this type of beams..Another application treated is halo cleaning using special pick-up electrodes sensitive to the halo of the
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