2017
DOI: 10.1103/physrevaccelbeams.20.111002
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Analytical N beam position monitor method

Abstract: Measurement and correction of focusing errors is of great importance for performance and machine protection of circular accelerators. Furthermore LHC needs to provide equal luminosities to the experiments ATLAS and CMS. High demands are also set on the speed of the optics commissioning, as the foreseen operation with β Ã-leveling on luminosity will require many operational optics. A fast measurement of the β-function around a storage ring is usually done by using the measured phase advance between three consec… Show more

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Cited by 17 publications
(10 citation statements)
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“…Linear optics studies are specially focused on the analysis of amplitude and phase corresponding to the main line of the spectrum, associated to the driven tune. In this section we focus on the β from amplitude technique, as its random and systematic errors are not addressed elsewhere, contrary to β from phase [21][22][23][24]. For the ith BPM, true amplitude and phase are related to the beam position, through:…”
Section: B β-Function Measurements Based On Turn-by-turn Datamentioning
confidence: 99%
See 1 more Smart Citation
“…Linear optics studies are specially focused on the analysis of amplitude and phase corresponding to the main line of the spectrum, associated to the driven tune. In this section we focus on the β from amplitude technique, as its random and systematic errors are not addressed elsewhere, contrary to β from phase [21][22][23][24]. For the ith BPM, true amplitude and phase are related to the beam position, through:…”
Section: B β-Function Measurements Based On Turn-by-turn Datamentioning
confidence: 99%
“…On the one hand, relative phase advances between a reference BPM and at least two other BPMs allow reconstructing the values of the β functions at the reference BPM under the assumption that there are no optics errors between the concerned BPMs. This method, known as β from phase (β ϕ ), was first used in LEP [20] and has been further developed in LHC, ALBA, and ESRF [21][22][23][24]. On the other hand, β can be also computed directly from the amplitude of the turn-by-turn spectra.…”
Section: Introductionmentioning
confidence: 99%
“…For the phase advanced based approach, the N-BPM method [23,24] is employed, using combinations of 7 surrounding BPMs to the one probed. This approach uses measured and model phase advances between BPMs together with the model β-functions at the BPMs to determine the β-function at a certain BPM.…”
Section: Linear Opticsmentioning
confidence: 99%
“…The amplitude of the betatron oscillations can be used to measure β functions but it requires a good control of the BPM calibration errors [22][23][24]. Instead the phase advances between three or more BPMs can be used to obtain β and α functions as described in [25][26][27].…”
Section: Betatron Oscillations Free or Forcedmentioning
confidence: 99%