| Title |
Threshold for Loss of Longitudinal Landau Damping in Double Harmonic RF Systems |
| Authors |
- L. Intelisano, H. Damerau, I. Karpov
CERN, Meyrin, Switzerland
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| 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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| Paper |
download MOP15.PDF [0.623 MB / 5 pages] |
| Cite |
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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 |
| Copyright |
 Published 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. |
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