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@inproceedings{xu:ipac2021-tupab220,
author = {J.Y. Xu and H.S. Xu},
title = {{Longitudinal Dynamics with Harmonic Cavities under the Over-stretching Conditions}},
booktitle = {Proc. IPAC'21},
pages = {1939--1941},
eid = {TUPAB220},
language = {english},
keywords = {cavity, detector, beam-loading, longitudinal-dynamics, bunching},
venue = {Campinas, SP, Brazil},
series = {International Particle Accelerator Conference},
number = {12},
publisher = {JACoW Publishing, Geneva, Switzerland},
month = {08},
year = {2021},
issn = {2673-5490},
isbn = {978-3-95450-214-1},
doi = {10.18429/JACoW-IPAC2021-TUPAB220},
url = {https://jacow.org/ipac2021/papers/tupab220.pdf},
note = {https://doi.org/10.18429/JACoW-IPAC2021-TUPAB220},
abstract = {{Higher harmonic cavities (HHCs) are often used to lengthen the bunches, mainly for increasing the Touschek lifetime or for suppressing the coupled-bunch instabilities in electron storage rings. There have been quite many studies on the beam dynamics with the consideration of HHCs. We revisited the basic longitudinal dynamics with HHCs. The derivation of the longitudinal equations of motion with HHCs will be presented in this paper. The difference in the number of fixed points at different HHC settings (mainly under the over-stretching conditions) is also discussed.}},
}