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@inproceedings{mitchell:ipac2021-wepab249,
author = {C.E. Mitchell and K. Hwang and R.D. Ryne},
title = {{Model of Curvature Effects Associated with Space Charge for Long Beams in Dipoles}},
booktitle = {Proc. IPAC'21},
pages = {3217--3219},
eid = {WEPAB249},
language = {english},
keywords = {space-charge, vacuum, dipole, emittance, shielding},
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-WEPAB249},
url = {https://jacow.org/ipac2021/papers/wepab249.pdf},
note = {https://doi.org/10.18429/JACoW-IPAC2021-WEPAB249},
abstract = {{For modeling the dynamics within a dipole of a bunch whose length is much larger than the vacuum pipe radius, it is typical to use a 2D (or 2.5D) Poisson solver, with arc length taken as the independent variable. However, sampled at a fixed time, the beam is curved, space charge is not truly 2D, and the usual cancellation between E and B contributions to the Lorentz force need not exactly hold. The size of these effects is estimated using an idealized model of a uniform torus of charge rotating inside a toroidal conducting pipe. Simple expressions are provided for the correction of the electric and magnetic fields to first order in the reciprocal of the curvature radius.}},
}