Evolution of ion bunch profile in the presence of longitudinal coherent electron cooling

Evolution of ion bunch profile in the presence of longitudinal coherent electron cooling

In the presence of longitudinal coherent electron cooling, the evolution of the line-density profile of a circulating ion bunch can be described by the 1D Fokker-Planck equation. We show that, in the absence of diffusion, the 1D equation can be solved analytically for a particular dependence of the...

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Main Author: G. Wang
Format: Article
Language:English
Published: American Physical Society 2019-11-01
Series:Physical Review Accelerators and Beams
Online Access:http://doi.org/10.1103/PhysRevAccelBeams.22.111002
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spelling doaj-ca85ba290b9745cb80c6c46b6d1eb49f2020-11-25T01:32:38ZengAmerican Physical SocietyPhysical Review Accelerators and Beams2469-98882019-11-01221111100210.1103/PhysRevAccelBeams.22.111002Evolution of ion bunch profile in the presence of longitudinal coherent electron coolingG. WangIn the presence of longitudinal coherent electron cooling, the evolution of the line-density profile of a circulating ion bunch can be described by the 1D Fokker-Planck equation. We show that, in the absence of diffusion, the 1D equation can be solved analytically for a particular dependence of the cooling force on the synchrotron amplitude. For more general cases with arbitrary diffusion, we solved the 1D Fokker-Planck equation numerically, and the numerical solutions have been compared with results from macroparticle tracking.http://doi.org/10.1103/PhysRevAccelBeams.22.111002
collection DOAJ
language English
format Article
sources DOAJ
author G. Wang
spellingShingle G. Wang
Evolution of ion bunch profile in the presence of longitudinal coherent electron cooling
Physical Review Accelerators and Beams
author_facet G. Wang
author_sort G. Wang
title Evolution of ion bunch profile in the presence of longitudinal coherent electron cooling
title_short Evolution of ion bunch profile in the presence of longitudinal coherent electron cooling
title_full Evolution of ion bunch profile in the presence of longitudinal coherent electron cooling
title_fullStr Evolution of ion bunch profile in the presence of longitudinal coherent electron cooling
title_full_unstemmed Evolution of ion bunch profile in the presence of longitudinal coherent electron cooling
title_sort evolution of ion bunch profile in the presence of longitudinal coherent electron cooling
publisher American Physical Society
series Physical Review Accelerators and Beams
issn 2469-9888
publishDate 2019-11-01
description In the presence of longitudinal coherent electron cooling, the evolution of the line-density profile of a circulating ion bunch can be described by the 1D Fokker-Planck equation. We show that, in the absence of diffusion, the 1D equation can be solved analytically for a particular dependence of the cooling force on the synchrotron amplitude. For more general cases with arbitrary diffusion, we solved the 1D Fokker-Planck equation numerically, and the numerical solutions have been compared with results from macroparticle tracking.
url http://doi.org/10.1103/PhysRevAccelBeams.22.111002
work_keys_str_mv AT gwang evolutionofionbunchprofileinthepresenceoflongitudinalcoherentelectroncooling
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