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Parametrizations of coupled betatron motion for strongly coupled lattices
The coupling of transverse motion is a natural occurrence inparticle accelerators, either in the form of a residual couplingarising from imperfections or originating by design from strongsystematic coupling fields. While the first can be treatedperturbatively, the latter requires a robust approach a...
Autores principales: | , , , , |
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Lenguaje: | eng |
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2022
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1088/1748-0221/18/10/P10012 http://cds.cern.ch/record/2853505 |
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author | Vanwelde, Marion Hernalsteens, Cédric Bogacz, S. Alex Machida, Shinji Pauly, Nicolas |
author_facet | Vanwelde, Marion Hernalsteens, Cédric Bogacz, S. Alex Machida, Shinji Pauly, Nicolas |
author_sort | Vanwelde, Marion |
collection | CERN |
description | The coupling of transverse motion is a natural occurrence inparticle accelerators, either in the form of a residual couplingarising from imperfections or originating by design from strongsystematic coupling fields. While the first can be treatedperturbatively, the latter requires a robust approach adapted tostrongly coupled optics, and a parametrization of the linear opticsmust be performed to explore beam dynamics in such peculiarlattices. This work highlights the key physical interpretations ofthe main parametrization formalisms to describe linear coupledoptics, along with explicit links and comparisons of theseparametrizations. Concepts rarely illustrated in other works, suchas forced mode flips and local coupling, are explored in detail,clarifying some anomalies that can arise in lattice functions. Theanalytical methods have been implemented in a reference Pythonpackage and connected with ray-tracing and integration codes toexplore examples of strongly coupled lattices, which are discussedin detail to highlight the key physical interpretations of theparametrizations and characteristics of the lattices. |
id | cern-2853505 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2022 |
record_format | invenio |
spelling | cern-28535052023-10-18T14:18:31Zdoi:10.1088/1748-0221/18/10/P10012http://cds.cern.ch/record/2853505engVanwelde, MarionHernalsteens, CédricBogacz, S. AlexMachida, ShinjiPauly, NicolasParametrizations of coupled betatron motion for strongly coupled latticesphysics.acc-phAccelerators and Storage RingsThe coupling of transverse motion is a natural occurrence inparticle accelerators, either in the form of a residual couplingarising from imperfections or originating by design from strongsystematic coupling fields. While the first can be treatedperturbatively, the latter requires a robust approach adapted tostrongly coupled optics, and a parametrization of the linear opticsmust be performed to explore beam dynamics in such peculiarlattices. This work highlights the key physical interpretations ofthe main parametrization formalisms to describe linear coupledoptics, along with explicit links and comparisons of theseparametrizations. Concepts rarely illustrated in other works, suchas forced mode flips and local coupling, are explored in detail,clarifying some anomalies that can arise in lattice functions. Theanalytical methods have been implemented in a reference Pythonpackage and connected with ray-tracing and integration codes toexplore examples of strongly coupled lattices, which are discussedin detail to highlight the key physical interpretations of theparametrizations and characteristics of the lattices.The coupling of transverse motion is a natural occurrence in particle accelerators, either in the form of a residual coupling arising from imperfections or originating by design from strong systematic coupling fields. While the first can be treated perturbatively, the latter requires a robust approach adapted to strongly coupled optics and a parametrization of the linear optics must be performed to explore beam dynamics in such peculiar lattices. This paper reviews the main concepts commonly put forth to describe coupled optics and clarifies the proposed parametrization formalisms. The links between the generalized Twiss parameters used by the different approaches are formally proven, and their physical interpretations are highlighted. The analytical methods have been implemented in a reference Python package and connected with a ray-tracing code to explore strongly coupled lattices featuring complex 3D fields. Multiple examples are discussed in detail to highlight the key physical interpretations of the parametrizations and characteristics of the lattices.arXiv:2210.11866oai:cds.cern.ch:28535052022-10-21 |
spellingShingle | physics.acc-ph Accelerators and Storage Rings Vanwelde, Marion Hernalsteens, Cédric Bogacz, S. Alex Machida, Shinji Pauly, Nicolas Parametrizations of coupled betatron motion for strongly coupled lattices |
title | Parametrizations of coupled betatron motion for strongly coupled lattices |
title_full | Parametrizations of coupled betatron motion for strongly coupled lattices |
title_fullStr | Parametrizations of coupled betatron motion for strongly coupled lattices |
title_full_unstemmed | Parametrizations of coupled betatron motion for strongly coupled lattices |
title_short | Parametrizations of coupled betatron motion for strongly coupled lattices |
title_sort | parametrizations of coupled betatron motion for strongly coupled lattices |
topic | physics.acc-ph Accelerators and Storage Rings |
url | https://dx.doi.org/10.1088/1748-0221/18/10/P10012 http://cds.cern.ch/record/2853505 |
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