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@inproceedings{sun:ipac2021-tupab062,
author = {Y.P. Sun},
title = {{Expediting APS-U Long-Term Particle Tracking with Arbitrary Order Taylor Map}},
booktitle = {Proc. IPAC'21},
pages = {1505--1507},
eid = {TUPAB062},
language = {english},
keywords = {simulation, lattice, damping, collective-effects, resonance},
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-TUPAB062},
url = {https://jacow.org/ipac2021/papers/tupab062.pdf},
note = {https://doi.org/10.18429/JACoW-IPAC2021-TUPAB062},
abstract = {{Truncated power series algebra was integrated within explicit symplectic integration to formulate an arbitrary order multivariate Taylor map for any given particle accelerator lattice. Tracking simulation performed with these Taylor maps shows good long term stability and physics accuracy. There is good agreement in long term particle tracking simulations between Taylor map and element by element tracking of APS-U lattice, when the particle is within 1 to 10 σ of stored beam. It is demonstrated that most of the lower order resonance driving terms, plus chromatic and geometric aberrations are reasonably preserved by the Taylor map approach. Last but maybe most important, the computation time is reduced by a factor of 20 to 50, when compared to symplectic integration based element by element tracking.}},
}