On the descriptions of beam instabilities

We investigate two interesting features of beam instabilities in accelerators : First, we provide the equivalence between two models to describe transverse instabilities, the circulant matrix model (based on a longitudinal phase space discretization) and the Vlasov formalism. Secondly, we show how...

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Detalles Bibliográficos
Autor principal: Maillard, Antoine
Lenguaje:eng
Publicado: 2016
Materias:
Accelerators and Storage Rings
Acceso en línea:http://cds.cern.ch/record/2205141
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author Maillard, Antoine
author_facet Maillard, Antoine
author_sort Maillard, Antoine
collection CERN
description We investigate two interesting features of beam instabilities in accelerators : First, we provide the equivalence between two models to describe transverse instabilities, the circulant matrix model (based on a longitudinal phase space discretization) and the Vlasov formalism. Secondly, we show how to derive dispersion integrals for transverse detuning effects in the Vlasov formalism, thus allowing for Landau damping mechanism.
id cern-2205141
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2016
record_format invenio
spelling cern-22051412019-09-30T06:29:59Zhttp://cds.cern.ch/record/2205141engMaillard, AntoineOn the descriptions of beam instabilitiesAccelerators and Storage Rings We investigate two interesting features of beam instabilities in accelerators : First, we provide the equivalence between two models to describe transverse instabilities, the circulant matrix model (based on a longitudinal phase space discretization) and the Vlasov formalism. Secondly, we show how to derive dispersion integrals for transverse detuning effects in the Vlasov formalism, thus allowing for Landau damping mechanism. CERN-STUDENTS-Note-2016-011oai:cds.cern.ch:22051412016-08-04
spellingShingle Accelerators and Storage Rings
Maillard, Antoine
On the descriptions of beam instabilities
title On the descriptions of beam instabilities
title_full On the descriptions of beam instabilities
title_fullStr On the descriptions of beam instabilities
title_full_unstemmed On the descriptions of beam instabilities
title_short On the descriptions of beam instabilities
title_sort on the descriptions of beam instabilities
topic Accelerators and Storage Rings
url http://cds.cern.ch/record/2205141
work_keys_str_mv AT maillardantoine onthedescriptionsofbeaminstabilities

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