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Fast High-Intensity Single-Bunch Transverse Coherent Instability in Synchrotrons due to a Broad-Band Resonator Impedance

The instability rise-time is computed when it is faster than the synchrotron period, using the mode-coupling formalism. The case is treated of a bunch interacting with a broad-band resonator impedance, and whose length is greater than the inverse of twice the resonance frequency. The formula is comp...

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Autor principal: Métral, Elias
Lenguaje:eng
Publicado: 2001
Materias:
Acceso en línea:http://cds.cern.ch/record/509567
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author Métral, Elias
author_facet Métral, Elias
author_sort Métral, Elias
collection CERN
description The instability rise-time is computed when it is faster than the synchrotron period, using the mode-coupling formalism. The case is treated of a bunch interacting with a broad-band resonator impedance, and whose length is greater than the inverse of twice the resonance frequency. The formula is compared to the one obtained by Brandt and Gareyte in a beam break-up approach, and to the one first obtained by Ruth and Wang in a fast blow-up theory, and later re-derived by Kernel et al. in a post-head-tail formalism. Stabilisation by synchrotron oscillation is also discussed.
id cern-509567
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2001
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spelling cern-5095672021-11-11T09:53:22Zhttp://cds.cern.ch/record/509567engMétral, EliasFast High-Intensity Single-Bunch Transverse Coherent Instability in Synchrotrons due to a Broad-Band Resonator ImpedanceAccelerators and Storage RingsThe instability rise-time is computed when it is faster than the synchrotron period, using the mode-coupling formalism. The case is treated of a bunch interacting with a broad-band resonator impedance, and whose length is greater than the inverse of twice the resonance frequency. The formula is compared to the one obtained by Brandt and Gareyte in a beam break-up approach, and to the one first obtained by Ruth and Wang in a fast blow-up theory, and later re-derived by Kernel et al. in a post-head-tail formalism. Stabilisation by synchrotron oscillation is also discussed.CERN-PS-2001-035-AEoai:cds.cern.ch:5095672001-07-03
spellingShingle Accelerators and Storage Rings
Métral, Elias
Fast High-Intensity Single-Bunch Transverse Coherent Instability in Synchrotrons due to a Broad-Band Resonator Impedance
title Fast High-Intensity Single-Bunch Transverse Coherent Instability in Synchrotrons due to a Broad-Band Resonator Impedance
title_full Fast High-Intensity Single-Bunch Transverse Coherent Instability in Synchrotrons due to a Broad-Band Resonator Impedance
title_fullStr Fast High-Intensity Single-Bunch Transverse Coherent Instability in Synchrotrons due to a Broad-Band Resonator Impedance
title_full_unstemmed Fast High-Intensity Single-Bunch Transverse Coherent Instability in Synchrotrons due to a Broad-Band Resonator Impedance
title_short Fast High-Intensity Single-Bunch Transverse Coherent Instability in Synchrotrons due to a Broad-Band Resonator Impedance
title_sort fast high-intensity single-bunch transverse coherent instability in synchrotrons due to a broad-band resonator impedance
topic Accelerators and Storage Rings
url http://cds.cern.ch/record/509567
work_keys_str_mv AT metralelias fasthighintensitysinglebunchtransversecoherentinstabilityinsynchrotronsduetoabroadbandresonatorimpedance