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@InProceedings{lindberg:napac2019-tuplm09,
author = {R.R. Lindberg},
title = {{A Fast Method to Evaluate Transverse Coupled-Bunch Stability at Non-Zero Chromaticity}},
booktitle = {Proc. NAPAC'19},
pages = {387--390},
paper = {TUPLM09},
language = {english},
keywords = {synchrotron, wakefield, dipole, betatron, simulation},
venue = {Lansing, MI, USA},
series = {North American Particle Accelerator Conference},
number = {4},
publisher = {JACoW Publishing, Geneva, Switzerland},
month = {10},
year = {2019},
issn = {2673-7000},
isbn = {978-3-95450-223-3},
doi = {10.18429/JACoW-NAPAC2019-TUPLM09},
url = {http://jacow.org/napac2019/papers/tuplm09.pdf},
note = {https://doi.org/10.18429/JACoW-NAPAC2019-TUPLM09},
abstract = {We present a dispersion relation that gives the complex growth rate for coupled-bunch instabilities at arbitrary chromaticity in terms of its value at zero chromaticity. We compare predictions of the theory to elegant tracking simulations, and show that there are two distinct regimes to stability depending upon whether the zero chromaticity growth rate is smaller or larger than the chromatic tune shift over the bunch. We derive an approximate expression that is easily solved numerically, and furthermore indicate how the formalism can be extended to describe arbitrary longitudinal potentials.},
}