Evaluation of Dynamic Aperture in the Presence of Phase Space Distortions

We study symplectic mappings which occur in the modelization of the 4D betatronic motion in a magnetic lattice and define the dynamic aperture in terms of the connected volume in phase space of initital conditions which are bounded for a given number of iterations. Different methods for a fast estim...

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Detalles Bibliográficos
Autores principales: Todesco, Ezio, Giovannozzi, Massimo, Scandale, Walter
Lenguaje:eng
Publicado: 1996
Materias:
Accelerators and Storage Rings
Acceso en línea:http://cds.cern.ch/record/309236
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author Todesco, Ezio
Giovannozzi, Massimo
Scandale, Walter
author_facet Todesco, Ezio
Giovannozzi, Massimo
Scandale, Walter
author_sort Todesco, Ezio
collection CERN
description We study symplectic mappings which occur in the modelization of the 4D betatronic motion in a magnetic lattice and define the dynamic aperture in terms of the connected volume in phase space of initital conditions which are bounded for a given number of iterations. Different methods for a fast estimate of the dynamic aperture are outlined; the analysis of the associated errors and the optimization of the integration steps are also reviewed. The accuracy of the different approaches have been tested by mean of numerical simulations. Both simple models and more realistic lattices have been considered.
id cern-309236
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1996
record_format invenio
spelling cern-3092362023-05-05T12:57:27Zhttp://cds.cern.ch/record/309236engTodesco, EzioGiovannozzi, MassimoScandale, WalterEvaluation of Dynamic Aperture in the Presence of Phase Space DistortionsAccelerators and Storage RingsWe study symplectic mappings which occur in the modelization of the 4D betatronic motion in a magnetic lattice and define the dynamic aperture in terms of the connected volume in phase space of initital conditions which are bounded for a given number of iterations. Different methods for a fast estimate of the dynamic aperture are outlined; the analysis of the associated errors and the optimization of the integration steps are also reviewed. The accuracy of the different approaches have been tested by mean of numerical simulations. Both simple models and more realistic lattices have been considered.CERN-SL-96-049oai:cds.cern.ch:3092361996
spellingShingle Accelerators and Storage Rings
Todesco, Ezio
Giovannozzi, Massimo
Scandale, Walter
Evaluation of Dynamic Aperture in the Presence of Phase Space Distortions
title Evaluation of Dynamic Aperture in the Presence of Phase Space Distortions
title_full Evaluation of Dynamic Aperture in the Presence of Phase Space Distortions
title_fullStr Evaluation of Dynamic Aperture in the Presence of Phase Space Distortions
title_full_unstemmed Evaluation of Dynamic Aperture in the Presence of Phase Space Distortions
title_short Evaluation of Dynamic Aperture in the Presence of Phase Space Distortions
title_sort evaluation of dynamic aperture in the presence of phase space distortions
topic Accelerators and Storage Rings
url http://cds.cern.ch/record/309236
work_keys_str_mv AT todescoezio evaluationofdynamicapertureinthepresenceofphasespacedistortions
AT giovannozzimassimo evaluationofdynamicapertureinthepresenceofphasespacedistortions
AT scandalewalter evaluationofdynamicapertureinthepresenceofphasespacedistortions

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