2005
DOI: 10.1103/physrevstab.8.024001
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Measurement of global and local resonance terms

Abstract: Recently, resonance driving terms were successfully measured in the CERN SPS and the BNL RHIC from the Fourier spectrum of beam position monitor (BPM) data. Based on these measurements a new analysis has been derived to extract truly local observables from BPM data. These local observables are called local resonance terms since they share some similarities with the global resonance terms. In this paper we derive these local terms analytically and present experimental measurements of sextupolar global and local… Show more

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Cited by 36 publications
(42 citation statements)
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“…This formula however applies only in the absence of nonlinearities or coupling sources between the two monitors. If this condition is not satisfied because the computation of p q contains an intrinsic error, whose estimation is given in [2], that may reveal in artificial jumps.…”
Section: Magnet Strength Measurement From Sps Datamentioning
confidence: 99%
See 3 more Smart Citations
“…This formula however applies only in the absence of nonlinearities or coupling sources between the two monitors. If this condition is not satisfied because the computation of p q contains an intrinsic error, whose estimation is given in [2], that may reveal in artificial jumps.…”
Section: Magnet Strength Measurement From Sps Datamentioning
confidence: 99%
“…The code first constructs the observables h q;ÿ N at each BPM. Then it performs the fast-Fourier-transform (FFT) of these variables, finds automatically the peaks of the Fourier spectra, and calculates the corresponding RDTs f jklm , the strengthsĥ jklm , and the local terms jklm introduced in [2]. All these observables are printed out together with the prediction from the model for a direct comparison.…”
Section: Magnet Strength Measurement From Sps Datamentioning
confidence: 99%
See 2 more Smart Citations
“…The possibility of using an ac dipole for nonlinear diagnostics was described in [4,5] and a first experimental application measuring the resonance driving terms is described in [6]. Finally, an indirect amplitude detuning measurement was achieved at the Tevatron [2] using an ac dipole under some approximations described below.…”
Section: Introductionmentioning
confidence: 99%