Modelling Nonlinear Optics in the CERN SPS

Nonlinear fields arising from eddy currents in the vac-uum chamber and remanent fields in the magnets of the CERN SPS vary with time and with the acceleration cycle. We describe a procedure of constructing a nonlinear op-tics model for the SPS, by considering sextupolar, octupo-lar, and decapolar fi...

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Detalles Bibliográficos
Autores principales: Zimmermann, Frank, Arduini, Gianluigi, Faus-Golfe, A, Collier, Paul
Lenguaje:eng
Publicado: 2002
Materias:
Accelerators and Storage Rings
Acceso en línea:http://cds.cern.ch/record/562005
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author Zimmermann, Frank
Arduini, Gianluigi
Faus-Golfe, A
Collier, Paul
author_facet Zimmermann, Frank
Arduini, Gianluigi
Faus-Golfe, A
Collier, Paul
author_sort Zimmermann, Frank
collection CERN
description Nonlinear fields arising from eddy currents in the vac-uum chamber and remanent fields in the magnets of the CERN SPS vary with time and with the acceleration cycle. We describe a procedure of constructing a nonlinear op-tics model for the SPS, by considering sextupolar, octupo-lar, and decapolar field errors in the dipole and quadrupole magnets, respectively, whose strengths are adjusted so as to best reproduce the measured nonlinear chromaticities up to third order in the momentum deviation. Applying this procedure to SPS chromaticity measurements taken at 26 GeV/c, we have obtained a refined optics model. The tune shifts with the transverse amplitude predicted by this model are consistent with a direct measurement.
id cern-562005
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2002
record_format invenio
spelling cern-5620052023-05-05T13:08:18Zhttp://cds.cern.ch/record/562005engZimmermann, FrankArduini, GianluigiFaus-Golfe, ACollier, PaulModelling Nonlinear Optics in the CERN SPSAccelerators and Storage RingsNonlinear fields arising from eddy currents in the vac-uum chamber and remanent fields in the magnets of the CERN SPS vary with time and with the acceleration cycle. We describe a procedure of constructing a nonlinear op-tics model for the SPS, by considering sextupolar, octupo-lar, and decapolar field errors in the dipole and quadrupole magnets, respectively, whose strengths are adjusted so as to best reproduce the measured nonlinear chromaticities up to third order in the momentum deviation. Applying this procedure to SPS chromaticity measurements taken at 26 GeV/c, we have obtained a refined optics model. The tune shifts with the transverse amplitude predicted by this model are consistent with a direct measurement.CERN-SL-2002-036-APoai:cds.cern.ch:5620052002-06-21
spellingShingle Accelerators and Storage Rings
Zimmermann, Frank
Arduini, Gianluigi
Faus-Golfe, A
Collier, Paul
Modelling Nonlinear Optics in the CERN SPS
title Modelling Nonlinear Optics in the CERN SPS
title_full Modelling Nonlinear Optics in the CERN SPS
title_fullStr Modelling Nonlinear Optics in the CERN SPS
title_full_unstemmed Modelling Nonlinear Optics in the CERN SPS
title_short Modelling Nonlinear Optics in the CERN SPS
title_sort modelling nonlinear optics in the cern sps
topic Accelerators and Storage Rings
url http://cds.cern.ch/record/562005
work_keys_str_mv AT zimmermannfrank modellingnonlinearopticsinthecernsps
AT arduinigianluigi modellingnonlinearopticsinthecernsps
AT fausgolfea modellingnonlinearopticsinthecernsps
AT collierpaul modellingnonlinearopticsinthecernsps

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