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Harmonic-cavity stabilization of longitudinal coupled-bunch instabilities with a nonuniform fill

Cullinan, F. J. LU ; Andersson, A. LU and Tavares, P. F. LU (2020) In Physical Review Accelerators and Beams 23(7).
Abstract

In synchrotrons, nonuniform fill patterns, which give rise to beam phase transients and a spread in synchrotron tune between bunches, have been observed to damp longitudinal coupled-bunch instabilities driven by higher-order modes in rf cavities. The transients are especially large in the presence of Landau cavities, which are used commonly in storage-ring light sources and particularly in the new generation of diffraction-limited storage rings. A method has recently been devised to predict the beam transient including complex form factors for the different bunches. This has now been extended to accurately predict the growth-rates and oscillation frequencies of coupled-bunch modes for arbitrary fill patterns, taking the individual... (More)

In synchrotrons, nonuniform fill patterns, which give rise to beam phase transients and a spread in synchrotron tune between bunches, have been observed to damp longitudinal coupled-bunch instabilities driven by higher-order modes in rf cavities. The transients are especially large in the presence of Landau cavities, which are used commonly in storage-ring light sources and particularly in the new generation of diffraction-limited storage rings. A method has recently been devised to predict the beam transient including complex form factors for the different bunches. This has now been extended to accurately predict the growth-rates and oscillation frequencies of coupled-bunch modes for arbitrary fill patterns, taking the individual complex form factors and equilibrium phases of the different bunches into account. In this paper, the extended method is presented and the theory is outlined. For a case with significant transient beam loading, predictions of the resulting beam transient and bunch profiles are compared to measurements. Predictions of coupled-bunch mode behavior are then benchmarked against results from the macroparticle tracking code mbtrack with good agreement. Finally, the method is used to predict the behavior of coupled-bunch modes as a function of the fields in passive Landau cavities.

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author
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type
Contribution to journal
publication status
published
subject
in
Physical Review Accelerators and Beams
volume
23
issue
7
article number
074402
publisher
American Physical Society
external identifiers
  • scopus:85101141524
ISSN
2469-9888
DOI
10.1103/PHYSREVACCELBEAMS.23.074402
language
English
LU publication?
yes
additional info
Publisher Copyright: © 2020 authors. Published by the American Physical Society.
id
27dc3baf-caa8-4823-914b-89f07c59b51a
date added to LUP
2022-03-31 13:39:03
date last changed
2022-04-23 23:09:48
@article{27dc3baf-caa8-4823-914b-89f07c59b51a,
  abstract     = {{<p>In synchrotrons, nonuniform fill patterns, which give rise to beam phase transients and a spread in synchrotron tune between bunches, have been observed to damp longitudinal coupled-bunch instabilities driven by higher-order modes in rf cavities. The transients are especially large in the presence of Landau cavities, which are used commonly in storage-ring light sources and particularly in the new generation of diffraction-limited storage rings. A method has recently been devised to predict the beam transient including complex form factors for the different bunches. This has now been extended to accurately predict the growth-rates and oscillation frequencies of coupled-bunch modes for arbitrary fill patterns, taking the individual complex form factors and equilibrium phases of the different bunches into account. In this paper, the extended method is presented and the theory is outlined. For a case with significant transient beam loading, predictions of the resulting beam transient and bunch profiles are compared to measurements. Predictions of coupled-bunch mode behavior are then benchmarked against results from the macroparticle tracking code mbtrack with good agreement. Finally, the method is used to predict the behavior of coupled-bunch modes as a function of the fields in passive Landau cavities.</p>}},
  author       = {{Cullinan, F. J. and Andersson, A. and Tavares, P. F.}},
  issn         = {{2469-9888}},
  language     = {{eng}},
  number       = {{7}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review Accelerators and Beams}},
  title        = {{Harmonic-cavity stabilization of longitudinal coupled-bunch instabilities with a nonuniform fill}},
  url          = {{http://dx.doi.org/10.1103/PHYSREVACCELBEAMS.23.074402}},
  doi          = {{10.1103/PHYSREVACCELBEAMS.23.074402}},
  volume       = {{23}},
  year         = {{2020}},
}