Speaker
Description
In the case of “linear RF system” the longitudinal Schottky noise of bunched beam is presented as a set of synchrotron lines around each revolution harmonics or, in the case of transverse Schottky noise, around each betatron sideband. In a typical accelerator or storage ring the RF system generates harmonic RF which makes the synchrotron motion non-linear resulting in a dependence of synchrotron frequency on the amplitude and, consequently, widening the synchrotron lines. The width of these lines increases linearly with harmonic number. The intrabeam scattering (IBS) results in random uncorrelated jumps in momenta of different particles. Consequently, these jumps result in jumps in particle phase and amplitude yielding additional widening of synchrotron lines. Since IBS, as well as other diffusion mechanisms, produces particle displacement proportional to the square root of time the line widening due to IBS goes quadratically with harmonic number leading to the dominant contribution of IBS to the line widening at very high frequencies. The talk presents a theoretical model describing effect of IBS on the Schottky noise of bunched beam and discusses its effect in real accelerators.
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