Transverse instabilities of coasting beams with space charge
Transverse beam stability is strongly affected by the beam space charge. Usually it is analyzed with the rigid-beam model. However, this model is only valid when a bare (not affected by the space charge) tune spread is small compared to the space charge tune shift. This condition specifies a relativ...
Main Authors: | , |
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Format: | Article |
Language: | English |
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American Physical Society
2009-03-01
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Series: | Physical Review Special Topics. Accelerators and Beams |
Online Access: | http://doi.org/10.1103/PhysRevSTAB.12.034201 |
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author | A. Burov V. Lebedev |
author_facet | A. Burov V. Lebedev |
author_sort | A. Burov |
collection | DOAJ |
description | Transverse beam stability is strongly affected by the beam space charge. Usually it is analyzed with the rigid-beam model. However, this model is only valid when a bare (not affected by the space charge) tune spread is small compared to the space charge tune shift. This condition specifies a relatively small area of parameters which, however, is the most interesting for practical applications. The Landau damping rate and the beam Schottky spectra are computed assuming that validity condition is satisfied. The results are applied to a round Gaussian beam. The stability thresholds are described by simple fits for the cases of chromatic and octupole tune spreads. |
first_indexed | 2024-04-13T05:38:20Z |
format | Article |
id | doaj.art-323d9d89e3484689ac39c02cabb9796a |
institution | Directory Open Access Journal |
issn | 1098-4402 |
language | English |
last_indexed | 2024-04-13T05:38:20Z |
publishDate | 2009-03-01 |
publisher | American Physical Society |
record_format | Article |
series | Physical Review Special Topics. Accelerators and Beams |
spelling | doaj.art-323d9d89e3484689ac39c02cabb9796a2022-12-22T03:00:12ZengAmerican Physical SocietyPhysical Review Special Topics. Accelerators and Beams1098-44022009-03-0112303420110.1103/PhysRevSTAB.12.034201Transverse instabilities of coasting beams with space chargeA. BurovV. LebedevTransverse beam stability is strongly affected by the beam space charge. Usually it is analyzed with the rigid-beam model. However, this model is only valid when a bare (not affected by the space charge) tune spread is small compared to the space charge tune shift. This condition specifies a relatively small area of parameters which, however, is the most interesting for practical applications. The Landau damping rate and the beam Schottky spectra are computed assuming that validity condition is satisfied. The results are applied to a round Gaussian beam. The stability thresholds are described by simple fits for the cases of chromatic and octupole tune spreads.http://doi.org/10.1103/PhysRevSTAB.12.034201 |
spellingShingle | A. Burov V. Lebedev Transverse instabilities of coasting beams with space charge Physical Review Special Topics. Accelerators and Beams |
title | Transverse instabilities of coasting beams with space charge |
title_full | Transverse instabilities of coasting beams with space charge |
title_fullStr | Transverse instabilities of coasting beams with space charge |
title_full_unstemmed | Transverse instabilities of coasting beams with space charge |
title_short | Transverse instabilities of coasting beams with space charge |
title_sort | transverse instabilities of coasting beams with space charge |
url | http://doi.org/10.1103/PhysRevSTAB.12.034201 |
work_keys_str_mv | AT aburov transverseinstabilitiesofcoastingbeamswithspacecharge AT vlebedev transverseinstabilitiesofcoastingbeamswithspacecharge |