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@inproceedings{lindberg:ipac2021-thpab075,
author = {R.R. Lindberg},
title = {{Collective (In)stability Near the Coupling Resonance}},
booktitle = {Proc. IPAC'21},
pages = {3933--3936},
eid = {THPAB075},
language = {english},
keywords = {wakefield, coupling, resonance, simulation, impedance},
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-THPAB075},
url = {https://jacow.org/ipac2021/papers/thpab075.pdf},
note = {https://doi.org/10.18429/JACoW-IPAC2021-THPAB075},
abstract = {{We show how to treat transverse collective instabilities when operating in the vicinity of the coupling (or tune difference) resonance. We begin by defining the approximate independent degrees of freedom including both linear coupling and chromatic effects. We then show how the destabilizing force due to wakefields and the stabilizing chromatic effects can be described by a linear combination of the horizontal and vertical motion that depends upon how close one is to the resonance. The theory agrees well with tracking studies, and will be relevant for those next-generation storage rings that plan to operate near the coupling resonance to produce nearly round beams, including the multi-bend achromat upgrade for the Advanced Photon Source.}},
}