Stochastic cooling of bunched ions simulated in the time domain

To include the influence of synchrotron oscillations, beam feedback and IBS a particle by particle and turn by turn treatment in the time-domain has been tried out. – Complete pickup, amplification and kicker characteristics, defined in the frequency domain, are introduced via inverse Laplace transformation, and so is the Dirac function representing the single ion. – The computation time is kept within reasonable limits thanks to the rule that cooling times scale proportionally with the particle number [1]. Typically 10000 simulation particles are cooled in 1200 turns. A recent proposal [2], based on signal binning and FFTs, offers the potential for at least one order of magnitude more ions and turns.