Coping with power-limited transverse stochastic cooling systems

The authors present the formulas relevant to the behavior of (transverse) stochastic cooling systems which operate under the not uncommon condition that performance is limited by available output power. They contrast the operation of such systems with that of nonpower-limited ones. In particular, it is shown that, for power-limited systems, the two most effective improvements are the use of pickups/kickers which operate in both planes simultaneously and/or plunging of the cooling system electrodes. The results are applied to the proposed upgrade of the Fermilab debuncher ring. It is concluded that biplanarity and plunging offer comparable improvements in performance and, for power-limited situations, such as that which exists at the Fermilab debuncher ring, offer performance improvements greater than those resulting from an increase in operating frequency