JACoW is a publisher in Geneva, Switzerland that publishes the proceedings of accelerator conferences held around the world by an international collaboration of editors.
@inproceedings{intelisano:hb2023-thbp42,
author = {L. Intelisano and H. Damerau and I. Karpov},
title = {{Longitudinal Loss of Landau Damping in Double Harmonic RF Systems below Transition Energy}},
% booktitle = {Proc. HB'23},
booktitle = {Proc. 68th Adv. Beam Dyn. Workshop High-Intensity High-Brightness Hadron Beams (HB'23)},
eventdate = {2023-10-09/2023-10-13},
pages = {575--578},
paper = {THBP42},
language = {english},
keywords = {synchrotron, damping, impedance, space-charge, proton},
venue = {Geneva, Switzerland},
series = {ICFA Advanced Beam Dynamics Workshop on High-Intensity and High-Brightness Hadron Beams},
number = {68},
publisher = {JACoW Publishing, Geneva, Switzerland},
month = {04},
year = {2024},
issn = {2673-5571},
isbn = {978-3-95450-253-0},
doi = {10.18429/JACoW-HB2023-THBP42},
url = {https://jacow.org/hb2023/papers/thbp42.pdf},
abstract = {{Landau damping plays a crucial role in ensuring single-bunch stability in hadron synchrotrons. In the longitudinal plane, loss of Landau damping (LLD) occurs when a coherent mode of oscillation moves out of the incoherent synchrotron frequency band. The LLD threshold is studied for a purely inductive impedance below transition energy, specifically considering the common case of double harmonic RF systems operating in counter-phase at the bunch position. The additional focusing force due to beam-induced voltage distorts the potential well, ultimately collapsing the bucket. The limiting conditions for a binomial particle distribution are calculated. Furthermore, the contribution focuses on the configuration of the higher-harmonic RF system at four times the fundamental RF frequency operating in phase. In this case, the LLD threshold shows a non-monotonic behavior with a zero threshold where the derivative of the synchrotron frequency distribution is positive. The findings are obtained employing semi-analytical calculations using the MELODY code.}},
}