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Title Threshold for Loss of Longitudinal Landau Damping in Double Harmonic RF Systems
  • L. Intelisano, H. Damerau, I. Karpov
    CERN, Meyrin, Switzerland
Abstract Landau damping is a natural stabilization mechanism to mitigate coherent beam instabilities in the longitudinal phase space plane. In a single RF system, binominal particle distributions with a constant inductive impedance above transition (or capacitive below) would lead to a vanishing threshold for the loss of Landau damping, which can be avoided by introducing an upper cut-off frequency to the impedance. This work aims at expanding the recent loss of Landau damping studies to the common case of double harmonic RF systems. Special attention has been paid to the configuration in the SPS with a higher harmonic RF system at four times the fundamental RF frequency, and with both RF systems in counter-phase (bunch shortening mode). Refined analytical estimates for the synchrotron frequency distribution allowed to extend the analytical expression for the loss of Landau damping threshold. The results are compared with semi-analytical calculations using the MELODY code, as well as with macroparticle simulations in BLonD.
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Conference HB2021
Series ICFA ABDW on High-Intensity and High-Brightness Hadron Beams (64th)
Location Batavia, IL, USA
Date 04-08 October 2021
Publisher JACoW Publishing, Geneva, Switzerland
Editorial Board Eliana Gianfelice (FNAL, Batavia, IL, USA); Sergei Nagaitsev (FNAL, Batavia, IL, USA); Dong Eon Kim (PAL, Pohang, South Korea); Michaela Marx (DESY, Hamburg, Germany); Volker R. W. Schaa (GSI, Darmstadt, Germany)
Online ISBN 978-3-95450-225-7
Online ISSN 2673-5571
Received 16 October 2021
Revised 19 October 2021
Accepted 05 February 2022
Issue Date 11 April 2022
DOI doi:10.18429/JACoW-HB2021-MOP15
Pages 95-99
Creative Commons CC logoPublished by JACoW Publishing under the terms of the Creative Commons Attribution 3.0 International license. Any further distribution of this work must maintain attribution to the author(s), the published article's title, publisher, and DOI.