Transverse modes of a bunched beam with space charge dominated impedance

Transverse modes of a bunched beam with space charge dominated impedance

Transverse coherent oscillations of a bunched beam in a ring accelerator are considered with space charge dominated impedance, taking into account linear synchrotron oscillations. A general equation of the bunch eigenmodes is derived, its exact analytical solution is presented for boxcar bunch, and...

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Bibliographic Details
Main Author: V. Balbekov
Format: Article
Language:English
Published: American Physical Society 2009-12-01
Series:Physical Review Special Topics. Accelerators and Beams
Online Access:http://doi.org/10.1103/PhysRevSTAB.12.124402
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spelling doaj-2b06a87bf4674d5690a4d22371cd3bc22020-11-25T00:21:14ZengAmerican Physical SocietyPhysical Review Special Topics. Accelerators and Beams1098-44022009-12-01121212440210.1103/PhysRevSTAB.12.124402Transverse modes of a bunched beam with space charge dominated impedanceV. BalbekovTransverse coherent oscillations of a bunched beam in a ring accelerator are considered with space charge dominated impedance, taking into account linear synchrotron oscillations. A general equation of the bunch eigenmodes is derived, its exact analytical solution is presented for boxcar bunch, and numerical solutions are found for several realistic models. Both low and high synchrotron frequency approximations are considered and compared, fields of their applicability are determined, and some estimations are developed in the intermediate region. It is shown that most of the bunch eigenmodes are stabilized by Landau damping due to the space charge produced tune spread.http://doi.org/10.1103/PhysRevSTAB.12.124402
collection DOAJ
language English
format Article
sources DOAJ
author V. Balbekov
spellingShingle V. Balbekov
Transverse modes of a bunched beam with space charge dominated impedance
Physical Review Special Topics. Accelerators and Beams
author_facet V. Balbekov
author_sort V. Balbekov
title Transverse modes of a bunched beam with space charge dominated impedance
title_short Transverse modes of a bunched beam with space charge dominated impedance
title_full Transverse modes of a bunched beam with space charge dominated impedance
title_fullStr Transverse modes of a bunched beam with space charge dominated impedance
title_full_unstemmed Transverse modes of a bunched beam with space charge dominated impedance
title_sort transverse modes of a bunched beam with space charge dominated impedance
publisher American Physical Society
series Physical Review Special Topics. Accelerators and Beams
issn 1098-4402
publishDate 2009-12-01
description Transverse coherent oscillations of a bunched beam in a ring accelerator are considered with space charge dominated impedance, taking into account linear synchrotron oscillations. A general equation of the bunch eigenmodes is derived, its exact analytical solution is presented for boxcar bunch, and numerical solutions are found for several realistic models. Both low and high synchrotron frequency approximations are considered and compared, fields of their applicability are determined, and some estimations are developed in the intermediate region. It is shown that most of the bunch eigenmodes are stabilized by Landau damping due to the space charge produced tune spread.
url http://doi.org/10.1103/PhysRevSTAB.12.124402
work_keys_str_mv AT vbalbekov transversemodesofabunchedbeamwithspacechargedominatedimpedance
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