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@inproceedings{liang:ipac2021-tupab226,
author = {P.F. Liang and H.S. Xu},
title = {{Study of the Third-Order Parametric Resonance Induced by RF Modulation}},
booktitle = {Proc. IPAC'21},
pages = {1956--1959},
eid = {TUPAB226},
language = {english},
keywords = {simulation, storage-ring, synchrotron, electron, injection},
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-TUPAB226},
url = {https://jacow.org/ipac2021/papers/tupab226.pdf},
note = {https://doi.org/10.18429/JACoW-IPAC2021-TUPAB226},
abstract = {{There were both analytic and experimental studies on the effects of RF modulation on bunch lengthening in electron storage rings. Nevertheless, the increase of bunch energy spread will happen in the meantime. Therefore, the degradation of bunch quality may limit the potential applications of the RF modulation technique. As a consequence, we believe that the comprehensive studies of the parametric resonance induced by RF modulation are necessary for understanding the physics picture better and seeking new possibilities of applications of this technique. The studies on the beam dynamics closed to the 3v_{s} RF phase modulation would be presented here. Based on the basic longitudinal synchrotron equations of motion, we obtained analytically the longitudinal modulated Hamiltonian and various parameters in longitudinal phase space, such as the fixed points, island tune, island width. The validity of the analytic results was checked by simulations. Furthermore, the dependence of the bunch parameters, such as energy spread and bunch length, on the modulation settings is also discussed in this paper.}},
}