Quantitative analysis of trapping probability for quasi-integrable two degree of freedom maps

A key ingredient for the Multi-Turn Extraction (MTE) at the CERN Proton Synchrotron is the beam trapping in stable islands of transverse phase space. In a previous paper a method allowing analytical estimation of the fraction of beam trapped into resonance islands as a function of the Hamiltonian pa...

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Detalles Bibliográficos
Autores principales: Bazzani, A, Giovannozzi, M, Hernalsteens, C, Williams, J
Lenguaje:eng
Publicado: 2014
Materias:
Accelerators and Storage Rings
Acceso en línea:http://cds.cern.ch/record/1742144
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author Bazzani, A
Giovannozzi, M
Hernalsteens, C
Williams, J
author_facet Bazzani, A
Giovannozzi, M
Hernalsteens, C
Williams, J
author_sort Bazzani, A
collection CERN
description A key ingredient for the Multi-Turn Extraction (MTE) at the CERN Proton Synchrotron is the beam trapping in stable islands of transverse phase space. In a previous paper a method allowing analytical estimation of the fraction of beam trapped into resonance islands as a function of the Hamiltonian parameters has been presented. Such amethod applies to one-degree of freedom models of betatronic motion. In this paper, the analysis is extended to the more realistic and challenging case of two-degree of freedom systems, in which the interplay between the horizontal and vertical motion is fully included. Numerical simulations are presented and the results are discussed in detail.
id cern-1742144
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2014
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spelling cern-17421442022-08-17T13:31:20Zhttp://cds.cern.ch/record/1742144engBazzani, AGiovannozzi, MHernalsteens, CWilliams, JQuantitative analysis of trapping probability for quasi-integrable two degree of freedom mapsAccelerators and Storage RingsA key ingredient for the Multi-Turn Extraction (MTE) at the CERN Proton Synchrotron is the beam trapping in stable islands of transverse phase space. In a previous paper a method allowing analytical estimation of the fraction of beam trapped into resonance islands as a function of the Hamiltonian parameters has been presented. Such amethod applies to one-degree of freedom models of betatronic motion. In this paper, the analysis is extended to the more realistic and challenging case of two-degree of freedom systems, in which the interplay between the horizontal and vertical motion is fully included. Numerical simulations are presented and the results are discussed in detail.CERN-ACC-2014-0108oai:cds.cern.ch:17421442014
spellingShingle Accelerators and Storage Rings
Bazzani, A
Giovannozzi, M
Hernalsteens, C
Williams, J
Quantitative analysis of trapping probability for quasi-integrable two degree of freedom maps
title Quantitative analysis of trapping probability for quasi-integrable two degree of freedom maps
title_full Quantitative analysis of trapping probability for quasi-integrable two degree of freedom maps
title_fullStr Quantitative analysis of trapping probability for quasi-integrable two degree of freedom maps
title_full_unstemmed Quantitative analysis of trapping probability for quasi-integrable two degree of freedom maps
title_short Quantitative analysis of trapping probability for quasi-integrable two degree of freedom maps
title_sort quantitative analysis of trapping probability for quasi-integrable two degree of freedom maps
topic Accelerators and Storage Rings
url http://cds.cern.ch/record/1742144
work_keys_str_mv AT bazzania quantitativeanalysisoftrappingprobabilityforquasiintegrabletwodegreeoffreedommaps
AT giovannozzim quantitativeanalysisoftrappingprobabilityforquasiintegrabletwodegreeoffreedommaps
AT hernalsteensc quantitativeanalysisoftrappingprobabilityforquasiintegrabletwodegreeoffreedommaps
AT williamsj quantitativeanalysisoftrappingprobabilityforquasiintegrabletwodegreeoffreedommaps

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