Dynamic aperture estimates and phase space distortions in nonlinear betatronic motion

Symplectic mappings which modelize the 4D betatronic motion in a magnetic lattice are considered. We define the dynamic aperture in terms of the connected volume in phase space of initial conditions which are bounded for a given number of iterations. Different methods for a fast estimate of this qua...

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Detalles Bibliográficos
Autores principales: Todesco, Ezio, Giovannozzi, Massimo
Lenguaje:eng
Publicado: 1995
Materias:
Accelerators and Storage Rings
Acceso en línea:https://dx.doi.org/10.1103/PhysRevE.53.4067
http://cds.cern.ch/record/292371
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author Todesco, Ezio
Giovannozzi, Massimo
author_facet Todesco, Ezio
Giovannozzi, Massimo
author_sort Todesco, Ezio
collection CERN
description Symplectic mappings which modelize the 4D betatronic motion in a magnetic lattice are considered. We define the dynamic aperture in terms of the connected volume in phase space of initial conditions which are bounded for a given number of iterations. Different methods for a fast estimate of this quantity are given; the analysis of the associated errors and the optimization of the integration steps are outlined. A comparison of the accuracy of these methods is given for both simple models and more realistic lattices.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1995
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spelling cern-2923712023-05-05T12:57:21Zdoi:10.1103/PhysRevE.53.4067http://cds.cern.ch/record/292371engTodesco, EzioGiovannozzi, MassimoDynamic aperture estimates and phase space distortions in nonlinear betatronic motionAccelerators and Storage RingsSymplectic mappings which modelize the 4D betatronic motion in a magnetic lattice are considered. We define the dynamic aperture in terms of the connected volume in phase space of initial conditions which are bounded for a given number of iterations. Different methods for a fast estimate of this quantity are given; the analysis of the associated errors and the optimization of the integration steps are outlined. A comparison of the accuracy of these methods is given for both simple models and more realistic lattices.CERN-SL-95-90-APoai:cds.cern.ch:2923711995-10-12
spellingShingle Accelerators and Storage Rings
Todesco, Ezio
Giovannozzi, Massimo
Dynamic aperture estimates and phase space distortions in nonlinear betatronic motion
title Dynamic aperture estimates and phase space distortions in nonlinear betatronic motion
title_full Dynamic aperture estimates and phase space distortions in nonlinear betatronic motion
title_fullStr Dynamic aperture estimates and phase space distortions in nonlinear betatronic motion
title_full_unstemmed Dynamic aperture estimates and phase space distortions in nonlinear betatronic motion
title_short Dynamic aperture estimates and phase space distortions in nonlinear betatronic motion
title_sort dynamic aperture estimates and phase space distortions in nonlinear betatronic motion
topic Accelerators and Storage Rings
url https://dx.doi.org/10.1103/PhysRevE.53.4067
http://cds.cern.ch/record/292371
work_keys_str_mv AT todescoezio dynamicapertureestimatesandphasespacedistortionsinnonlinearbetatronicmotion
AT giovannozzimassimo dynamicapertureestimatesandphasespacedistortionsinnonlinearbetatronicmotion

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