Abstract
Optical stochastic cooling (OSC) is a promising technique for the cooling of dense particle beams. Its operation at optical frequencies enables obtaining a much larger bandwidth compared to the wellknown microwave-based stochastic cooling. In the OSC undulator radiation generated by a particle in an upstream \pickup" undulator is amplified and focused at the location of a downstream "kicker" undulator. Inside the kicker, a particle interacts with its own radiation field from the pickup. The resulting interaction produces a longitudinal kick with its value depending on the particles momentum which, when correctly phased, yields to longitudinal cooling. The horizontal cooling is achieved by introducing a coupling between longitudinal and horizontal degrees of freedom. Vertical cooling is achieved by coupling between horizontal and vertical motions in the ring. In this paper, we present formulae for computation of the corrective kick and validate them against numerical simulations performed using a wave-optics computer program.
Highlights
Optical stochastic cooling (OSC) is a method of beam cooling in an accelerator that utilizes the short, radiation wave packet generated by a particle passing through an undulator, as a way to make a corrective kick in energy with minimal interference from other nearby particles in the beam
In OSC the corrective kick occurs via interaction of a particle with its own radiation, radiated at an earlier time in a “pickup” undulator, imaged in a downstream identical undulator referred to as the “kicker”; See Fig. 1
The amount of energy exchange between the particle and its radiation is determined by the arrival time of the particle with respect to the radiation wave packet
Summary
Optical stochastic cooling (OSC) is a method of beam cooling in an accelerator that utilizes the short, radiation wave packet generated by a particle passing through an undulator, as a way to make a corrective kick in energy with minimal interference from other nearby particles in the beam. The amount of energy exchange between the particle and its radiation is determined by the arrival time of the particle with respect to the radiation wave packet This difference in arrival time depends on the particles phase-space coordinates and the lattice optics associated with the bypass beamline (typically a magnetic chicane) inserted between the pickup and kicker. We present a semianalytical theory to compute the energy kick which a particle receives passing through an OSC system We apply this theory to the proofof-principle test of the OSC to be carried out in the IOTA ring at Fermilab [13]. It shows the angle-integrated full-width-halfmaximum relative bandwidth is on the order of ∼30%
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