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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...
Autores principales: | , , |
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Lenguaje: | eng |
Publicado: |
2015
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Materias: | |
Acceso en línea: | http://cds.cern.ch/record/2113428 |
_version_ | 1780949029496029184 |
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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 |
record_format | invenio |
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 |