Damping of the Transverse Head-Tail Instability by Periodic Modulation of the Chromaticity

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An analytical and numerical study of the suppression of the transverse head-tail instability by modulating the chromaticity over a synchrotron period is presented. We find that a threshold can be developed, and it can be increased to a value larger than the strong head-tail instability threshold. The stability criterion derived agrees very well with the simulations. The underlying physical mechanisms of the damping scheme are rotation of the head-tail phase such that the instability does not occur, and Landau damping due to the incoherent betatron tune spread generated by the varying chromaticity. {copyright} {ital 1997} {ital The American Physical Society}

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pp. 4565-4568

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Cheng, W.; Wurtele, J.S.; Sessler, A.M. & Wurtele, J.S. June 1, 1997.

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An analytical and numerical study of the suppression of the transverse head-tail instability by modulating the chromaticity over a synchrotron period is presented. We find that a threshold can be developed, and it can be increased to a value larger than the strong head-tail instability threshold. The stability criterion derived agrees very well with the simulations. The underlying physical mechanisms of the damping scheme are rotation of the head-tail phase such that the instability does not occur, and Landau damping due to the incoherent betatron tune spread generated by the varying chromaticity. {copyright} {ital 1997} {ital The American Physical Society}

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pp. 4565-4568

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  • Journal Name: Physical Review Letters; Journal Volume: 78; Journal Issue: 24

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  • Report No.: LBNL-39642
  • Grant Number: AC03-76SF00098;FG03-95ER40936
  • DOI: 10.1103/PhysRevLett.78.4565 | External Link
  • Office of Scientific & Technical Information Report Number: 531850
  • Archival Resource Key: ark:/67531/metadc689569

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  • June 1, 1997

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  • Aug. 14, 2015, 8:43 a.m.

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  • Dec. 6, 2016, 8:03 p.m.

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Cheng, W.; Wurtele, J.S.; Sessler, A.M. & Wurtele, J.S. Damping of the Transverse Head-Tail Instability by Periodic Modulation of the Chromaticity, article, June 1, 1997; United States. (digital.library.unt.edu/ark:/67531/metadc689569/: accessed August 24, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.