Landau damping in the longitudinal plane
Loss of Landau damping in the longitudinal plane can limit the performance of an accelerator and lead to particle losses via undamped bunch oscillations or to single- and multi-bunch instabilities. The threshold for loss of Landau damping for a single bunch is usually defined by comparing the position of the coherent bunch oscillation frequency with respect to the incoherent synchrotron frequency spread. Different ways of calculating this threshold are presented and compared, using the LHC as an example. Loss of Landau damping in longitudinal plane can be cured by increasing the synchrotron frequency spread, either through controlled emittance blow-up or the installation of an additional, higher- harmonic RF system.
Copyright (c) 2021 CERN
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with this publication agree to the following terms:
- CERN retains copyright and publishes the work licensed under the Creative Commons Attribution License 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this series.
- Authors are able to enter into separate, additional contractual arrangements for distribution of the published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this series.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).