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RIS citation export for MOP15: Threshold for Loss of Longitudinal Landau Damping in Double Harmonic RF Systems

AU  - Intelisano, L.
AU  - Damerau, H.
AU  - Karpov, I.
ED  - Gianfelice, Eliana
ED  - Nagaitsev, Sergei
ED  - Kim, Dong Eon
ED  - Marx, Michaela
ED  - Schaa, Volker R. W.
TI  - Threshold for Loss of Longitudinal Landau Damping in Double Harmonic RF Systems
J2  - Proc. of HB2021, Batavia, IL, USA, 04-08 October 2021
CY  - Batavia, IL, USA
T2  - ICFA ABDW on High-Intensity and High-Brightness Hadron Beams
T3  - 64
LA  - english
AB  - 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.
PB  - JACoW Publishing
CP  - Geneva, Switzerland
SP  - 95
EP  - 99
KW  - impedance
KW  - damping
KW  - synchrotron
KW  - simulation
KW  - dipole
DA  - 2022/04
PY  - 2022
SN  - 2673-5571
SN  - 978-3-95450-225-7
DO  - doi:10.18429/JACoW-HB2021-MOP15
UR  - https://jacow.org/hb2021/papers/mop15.pdf
ER  -