Threshold of transverse mode coupling instability with arbitrary space charge
The threshold of the transverse mode coupling instability is calculated in framework of the square well model at arbitrary value of space charge tune shift. A new method of calculation is developed beyond the traditional expansion technique. The square, resistive, and exponential wakes are investiga...
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American Physical Society
2017-11-01
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Series: | Physical Review Accelerators and Beams |
Online Access: | http://doi.org/10.1103/PhysRevAccelBeams.20.114401 |
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doaj-b70b4a7e3f9243009ac815e95c6ba4702020-11-25T00:24:02ZengAmerican Physical SocietyPhysical Review Accelerators and Beams2469-98882017-11-01201111440110.1103/PhysRevAccelBeams.20.114401Threshold of transverse mode coupling instability with arbitrary space chargeV. BalbekovThe threshold of the transverse mode coupling instability is calculated in framework of the square well model at arbitrary value of space charge tune shift. A new method of calculation is developed beyond the traditional expansion technique. The square, resistive, and exponential wakes are investigated. It is shown that the instability threshold goes up indefinitely when the tune shift increases. A comparison with conventional case of the parabolic potential well is performed.http://doi.org/10.1103/PhysRevAccelBeams.20.114401 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
V. Balbekov |
spellingShingle |
V. Balbekov Threshold of transverse mode coupling instability with arbitrary space charge Physical Review Accelerators and Beams |
author_facet |
V. Balbekov |
author_sort |
V. Balbekov |
title |
Threshold of transverse mode coupling instability with arbitrary space charge |
title_short |
Threshold of transverse mode coupling instability with arbitrary space charge |
title_full |
Threshold of transverse mode coupling instability with arbitrary space charge |
title_fullStr |
Threshold of transverse mode coupling instability with arbitrary space charge |
title_full_unstemmed |
Threshold of transverse mode coupling instability with arbitrary space charge |
title_sort |
threshold of transverse mode coupling instability with arbitrary space charge |
publisher |
American Physical Society |
series |
Physical Review Accelerators and Beams |
issn |
2469-9888 |
publishDate |
2017-11-01 |
description |
The threshold of the transverse mode coupling instability is calculated in framework of the square well model at arbitrary value of space charge tune shift. A new method of calculation is developed beyond the traditional expansion technique. The square, resistive, and exponential wakes are investigated. It is shown that the instability threshold goes up indefinitely when the tune shift increases. A comparison with conventional case of the parabolic potential well is performed. |
url |
http://doi.org/10.1103/PhysRevAccelBeams.20.114401 |
work_keys_str_mv |
AT vbalbekov thresholdoftransversemodecouplinginstabilitywitharbitraryspacecharge |
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1725354308973625344 |