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Simple theory of emittance sharing and exchange due to linear betatron coupling

The influence of linear coupling due to skew quadrupoles on the transverse emittances is discussed using the simplified model of a smooth synchrotron with a constant-in-time skew gradient. New formulae for the coupled transverse emittances are derived that include the uncoupled emittances, the coupl...

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Autor principal: Métral, Elias
Lenguaje:eng
Publicado: 2001
Materias:
Acceso en línea:http://cds.cern.ch/record/529690
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author Métral, Elias
author_facet Métral, Elias
author_sort Métral, Elias
collection CERN
description The influence of linear coupling due to skew quadrupoles on the transverse emittances is discussed using the simplified model of a smooth synchrotron with a constant-in-time skew gradient. New formulae for the coupled transverse emittances are derived that include the uncoupled emittances, the coupling strength (the tune difference on the coupling resonance) and the tune distance from the resonance. The classical formulae generally used only show a sharing of the emittances as coupling increases. For full coupling, i.e. on the resonance, a perfect sharing of the emittances is obtained. The new formulae reveal, in addition, the possibility to exchange the emittances as coupling decreases after the resonance crossing, as predicted and observed in the PSB by C. Carli.
id cern-529690
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2001
record_format invenio
spelling cern-5296902021-11-11T09:55:58Zhttp://cds.cern.ch/record/529690engMétral, EliasSimple theory of emittance sharing and exchange due to linear betatron couplingAccelerators and Storage RingsThe influence of linear coupling due to skew quadrupoles on the transverse emittances is discussed using the simplified model of a smooth synchrotron with a constant-in-time skew gradient. New formulae for the coupled transverse emittances are derived that include the uncoupled emittances, the coupling strength (the tune difference on the coupling resonance) and the tune distance from the resonance. The classical formulae generally used only show a sharing of the emittances as coupling increases. For full coupling, i.e. on the resonance, a perfect sharing of the emittances is obtained. The new formulae reveal, in addition, the possibility to exchange the emittances as coupling decreases after the resonance crossing, as predicted and observed in the PSB by C. Carli.CERN-PS-2001-066-AEoai:cds.cern.ch:5296902001-12-05
spellingShingle Accelerators and Storage Rings
Métral, Elias
Simple theory of emittance sharing and exchange due to linear betatron coupling
title Simple theory of emittance sharing and exchange due to linear betatron coupling
title_full Simple theory of emittance sharing and exchange due to linear betatron coupling
title_fullStr Simple theory of emittance sharing and exchange due to linear betatron coupling
title_full_unstemmed Simple theory of emittance sharing and exchange due to linear betatron coupling
title_short Simple theory of emittance sharing and exchange due to linear betatron coupling
title_sort simple theory of emittance sharing and exchange due to linear betatron coupling
topic Accelerators and Storage Rings
url http://cds.cern.ch/record/529690
work_keys_str_mv AT metralelias simpletheoryofemittancesharingandexchangeduetolinearbetatroncoupling