Abstract
We propose a simple approach to the on-line control of the nonlinear dynamics in storage rings, based on compensation of the nonlinear resonance driving terms using beam losses as the main indicator of the strength of a resonance. The correction scheme is built on the analysis of the resonance driving terms in first perturbative order and on the possibility of using independent power supplies in the sextupole magnets, which is nowadays present in many synchrotron light sources. Such freedom allows the definition of “smart sextupole knobs” attacking each resonance separately. The compensation scheme has been tested at the Diamond light source and proved to be effective in opening up the betatron tune space, resonance free, available to the electron beam and to improve the beam lifetime.
Highlights
The control of the nonlinear dynamics for circular accelerators dates back to the first synchrotrons [1]
The progress of high level instrumentation, such as high resolution turn-by-turn beam position monitors (BPMs) and single-turn kickers, has allowed significant steps forward to be made in the experimental characterization of the nonlinear beam dynamics [5,6,7,8,9,10,11,12,13,14,15]
In this paper we present the proof of principle of a new method for the on-line control of resonance driving terms based on the construction of a response matrix relating the driving terms with the sextupole families in the ring
Summary
The control of the nonlinear dynamics for circular accelerators dates back to the first synchrotrons [1]. In this paper we present the proof of principle of a new method for the on-line control of resonance driving terms based on the construction of a response matrix relating the driving terms with the sextupole families in the ring. This approach is underpinned by the identification of “smart sextupole knobs,” i.e., combinations of sextupoles which. The correction of the individual driving terms is uniquely based on the model response matrix and on the measurement of beam losses as the resonance is approached in the betatron tune space.
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