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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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Lenguaje: | eng |
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2001
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Acceso en línea: | http://cds.cern.ch/record/509567 |
_version_ | 1780897470417469440 |
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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 |
record_format | invenio |
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 |