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Analytical Approach to the Beam-Beam Interaction with the Hourglass Effect

The hourglass effect arises due to a coupling between the longitudinal and transverse bunch planes. This coupling will result in a charge density distribution that will vary parabolically through the Interaction Point (IP). Here a method of analytically determining the electric field a particle rece...

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Detalles Bibliográficos
Autores principales: Crouch, Matthew, Muratori, B D, Appleby, Robert Barrie
Lenguaje:eng
Publicado: 2015
Materias:
Acceso en línea:http://cds.cern.ch/record/2113428
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author Crouch, Matthew
Muratori, B D
Appleby, Robert Barrie
author_facet Crouch, Matthew
Muratori, B D
Appleby, Robert Barrie
author_sort Crouch, Matthew
collection CERN
description The hourglass effect arises due to a coupling between the longitudinal and transverse bunch planes. This coupling will result in a charge density distribution that will vary parabolically through the Interaction Point (IP). Here a method of analytically determining the electric field a particle receives from a charge density distribution which varies parabolically when centred at the IP, is derived for a 2D transverse model of a Gaussian bunch.
id cern-2113428
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2015
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spelling cern-21134282022-08-10T13:08:25Zhttp://cds.cern.ch/record/2113428engCrouch, MatthewMuratori, B DAppleby, Robert BarrieAnalytical Approach to the Beam-Beam Interaction with the Hourglass EffectAccelerators and Storage RingsThe hourglass effect arises due to a coupling between the longitudinal and transverse bunch planes. This coupling will result in a charge density distribution that will vary parabolically through the Interaction Point (IP). Here a method of analytically determining the electric field a particle receives from a charge density distribution which varies parabolically when centred at the IP, is derived for a 2D transverse model of a Gaussian bunch.CERN-ACC-2015-0181oai:cds.cern.ch:21134282015-05-08
spellingShingle Accelerators and Storage Rings
Crouch, Matthew
Muratori, B D
Appleby, Robert Barrie
Analytical Approach to the Beam-Beam Interaction with the Hourglass Effect
title Analytical Approach to the Beam-Beam Interaction with the Hourglass Effect
title_full Analytical Approach to the Beam-Beam Interaction with the Hourglass Effect
title_fullStr Analytical Approach to the Beam-Beam Interaction with the Hourglass Effect
title_full_unstemmed Analytical Approach to the Beam-Beam Interaction with the Hourglass Effect
title_short Analytical Approach to the Beam-Beam Interaction with the Hourglass Effect
title_sort analytical approach to the beam-beam interaction with the hourglass effect
topic Accelerators and Storage Rings
url http://cds.cern.ch/record/2113428
work_keys_str_mv AT crouchmatthew analyticalapproachtothebeambeaminteractionwiththehourglasseffect
AT muratoribd analyticalapproachtothebeambeaminteractionwiththehourglasseffect
AT applebyrobertbarrie analyticalapproachtothebeambeaminteractionwiththehourglasseffect