NEW DEFINITION OF THE STOP-BAND FOR THE INTENSITY DEPENDENT EMITTANCE TRANSFER BASED ON THE ENVELOPE EQUATIONS

The influence of space charge on the transverse emittances has been discussed in Ref. [1] by solving the Kapchinskij and Vladimirskij envelope equations for small perturbations on top of equilibrium beam sizes. Formulae for the transverse emittances in the presence of space charge were derived that...

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Autor principal: Métral, Elias
Lenguaje:eng
Publicado: 2004
Materias:
Accelerators and Storage Rings
Acceso en línea:http://cds.cern.ch/record/791847
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author Métral, Elias
author_facet Métral, Elias
author_sort Métral, Elias
collection CERN
description The influence of space charge on the transverse emittances has been discussed in Ref. [1] by solving the Kapchinskij and Vladimirskij envelope equations for small perturbations on top of equilibrium beam sizes. Formulae for the transverse emittances in the presence of space charge were derived that include the uncoupled emittances, the space-charge coupling strength, and the tune distance from the resonance. A stop-band was also defined. The purpose of this note is to discuss this stop-band and give another definition of it, more useful for comparison with machine experiments or simulations.
id cern-791847
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2004
record_format invenio
spelling cern-7918472019-09-30T06:29:59Zhttp://cds.cern.ch/record/791847engMétral, EliasNEW DEFINITION OF THE STOP-BAND FOR THE INTENSITY DEPENDENT EMITTANCE TRANSFER BASED ON THE ENVELOPE EQUATIONSAccelerators and Storage RingsThe influence of space charge on the transverse emittances has been discussed in Ref. [1] by solving the Kapchinskij and Vladimirskij envelope equations for small perturbations on top of equilibrium beam sizes. Formulae for the transverse emittances in the presence of space charge were derived that include the uncoupled emittances, the space-charge coupling strength, and the tune distance from the resonance. A stop-band was also defined. The purpose of this note is to discuss this stop-band and give another definition of it, more useful for comparison with machine experiments or simulations.AB-Note-2004-065CERN-AB-Note-2004-065oai:cds.cern.ch:7918472004-09-08
spellingShingle Accelerators and Storage Rings
Métral, Elias
NEW DEFINITION OF THE STOP-BAND FOR THE INTENSITY DEPENDENT EMITTANCE TRANSFER BASED ON THE ENVELOPE EQUATIONS
title NEW DEFINITION OF THE STOP-BAND FOR THE INTENSITY DEPENDENT EMITTANCE TRANSFER BASED ON THE ENVELOPE EQUATIONS
title_full NEW DEFINITION OF THE STOP-BAND FOR THE INTENSITY DEPENDENT EMITTANCE TRANSFER BASED ON THE ENVELOPE EQUATIONS
title_fullStr NEW DEFINITION OF THE STOP-BAND FOR THE INTENSITY DEPENDENT EMITTANCE TRANSFER BASED ON THE ENVELOPE EQUATIONS
title_full_unstemmed NEW DEFINITION OF THE STOP-BAND FOR THE INTENSITY DEPENDENT EMITTANCE TRANSFER BASED ON THE ENVELOPE EQUATIONS
title_short NEW DEFINITION OF THE STOP-BAND FOR THE INTENSITY DEPENDENT EMITTANCE TRANSFER BASED ON THE ENVELOPE EQUATIONS
title_sort new definition of the stop-band for the intensity dependent emittance transfer based on the envelope equations
topic Accelerators and Storage Rings
url http://cds.cern.ch/record/791847
work_keys_str_mv AT metralelias newdefinitionofthestopbandfortheintensitydependentemittancetransferbasedontheenvelopeequations

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