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@inproceedings{folsom:ipac2021-tupab218,
author = {B.T. Folsom and E. Laface},
title = {{Fully Covariant Two-Particle Space-Charge Dynamics Using the Liénard-Wiechert Potentials}},
booktitle = {Proc. IPAC'21},
pages = {1931--1934},
eid = {TUPAB218},
language = {english},
keywords = {electromagnetic-fields, electron, space-charge, FEL, dipole},
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-TUPAB218},
url = {https://jacow.org/ipac2021/papers/tupab218.pdf},
note = {https://doi.org/10.18429/JACoW-IPAC2021-TUPAB218},
abstract = {{Space charge models typically assume instantaneous propagation of the electromagnetic fields between particles in a bunch, describing forces in the frame of the reference particle. In this paper, we construct a space-charge tracking code from the retarded Liénard-Wiechert potentials, which are covariant by design, in a Lagrangian formulation. Such potentials are manipulated with covariant derivatives to produce the necessary equations of motion that will be solved in a test system of two particles at various relative energies. Magnetic dipole moment dynamics are also evaluated where applicable.}},
}