Analytical N beam position monitor method

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 fores...

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Main Authors: A. Wegscheider, A. Langner, R. Tomás, A. Franchi
Format: Article
Language:English
Published: American Physical Society 2017-11-01
Series:Physical Review Accelerators and Beams
Online Access:http://doi.org/10.1103/PhysRevAccelBeams.20.111002
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author A. Wegscheider
A. Langner
R. Tomás
A. Franchi
author_facet A. Wegscheider
A. Langner
R. Tomás
A. Franchi
author_sort A. Wegscheider
collection DOAJ
description 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^{*}-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 consecutive beam position monitors (BPMs). A recent extension of this established technique, called the N-BPM method, was successfully applied for optics measurements at CERN, ALBA, and ESRF. We present here an improved algorithm that uses analytical calculations for both random and systematic errors and takes into account the presence of quadrupole, sextupole, and BPM misalignments, in addition to quadrupolar field errors. This new scheme, called the analytical N-BPM method, is much faster, further improves the measurement accuracy, and is applicable to very pushed beam optics where the existing numerical N-BPM method tends to fail.
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spelling doaj.art-f0a99105a546480ca9a0f4a6fc0815582022-12-22T01:38:07ZengAmerican Physical SocietyPhysical Review Accelerators and Beams2469-98882017-11-01201111100210.1103/PhysRevAccelBeams.20.111002Analytical N beam position monitor methodA. WegscheiderA. LangnerR. TomásA. FranchiMeasurement 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^{*}-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 consecutive beam position monitors (BPMs). A recent extension of this established technique, called the N-BPM method, was successfully applied for optics measurements at CERN, ALBA, and ESRF. We present here an improved algorithm that uses analytical calculations for both random and systematic errors and takes into account the presence of quadrupole, sextupole, and BPM misalignments, in addition to quadrupolar field errors. This new scheme, called the analytical N-BPM method, is much faster, further improves the measurement accuracy, and is applicable to very pushed beam optics where the existing numerical N-BPM method tends to fail.http://doi.org/10.1103/PhysRevAccelBeams.20.111002
spellingShingle A. Wegscheider
A. Langner
R. Tomás
A. Franchi
Analytical N beam position monitor method
Physical Review Accelerators and Beams
title Analytical N beam position monitor method
title_full Analytical N beam position monitor method
title_fullStr Analytical N beam position monitor method
title_full_unstemmed Analytical N beam position monitor method
title_short Analytical N beam position monitor method
title_sort analytical n beam position monitor method
url http://doi.org/10.1103/PhysRevAccelBeams.20.111002
work_keys_str_mv AT awegscheider analyticalnbeampositionmonitormethod
AT alangner analyticalnbeampositionmonitormethod
AT rtomas analyticalnbeampositionmonitormethod
AT afranchi analyticalnbeampositionmonitormethod