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RIS citation export for MOP16: New Analytical Criteria for Loss of Landau Damping in Longitudinal Plane

AU  - Karpov, I.
AU  - Argyropoulos, T.
AU  - Nese, S.
AU  - Shaposhnikova, E.N.
ED  - Gianfelice, Eliana
ED  - Nagaitsev, Sergei
ED  - Kim, Dong Eon
ED  - Marx, Michaela
ED  - Schaa, Volker R. W.
TI  - New Analytical Criteria for Loss of Landau Damping in Longitudinal Plane
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 very important stabilization mechanism of beams in circular hadron accelerators. In the longitudinal plane, Landau damping is lost when the coherent mode is outside of the incoherent synchrotron frequency spread. In this paper, the threshold for loss of Landau damping (LLD) for constant inductive impedance ImZ/k is derived using the Lebedev matrix equation (1968). The results are confirmed by direct numerical solutions of the Lebedev equation and using the Oide-Yokoya method (1990). For more realistic impedance models of the ring, new definitions of an effective impedance and the corresponding cutoff frequency are introduced which allow using the same analytic expression for the LLD threshold. We also demonstrate that this threshold is significantly overestimated by the Sacherer formalism based on the previous definition of an effective impedance using the eigenfunctions of the coherent modes.
PB  - JACoW Publishing
CP  - Geneva, Switzerland
SP  - 100
EP  - 105
KW  - impedance
KW  - synchrotron
KW  - damping
KW  - space-charge
KW  - dipole
DA  - 2022/04
PY  - 2022
SN  - 2673-5571
SN  - 978-3-95450-225-7
DO  - doi:10.18429/JACoW-HB2021-MOP16
UR  - https://jacow.org/hb2021/papers/mop16.pdf
ER  -