Accurate Transfer Maps for Realistic Beamline Elements: Part I, Straight Elements
Abstract
The behavior of orbits in charged-particle beam transport systems, including both linear and circular accelerators as well as final focus sections and spectrometers, can depend sensitively on nonlinear fringe-field and high-order-multipole effects in the various beam-line elements. The inclusion of these effects requires a detailed and realistic model of the interior and fringe fields, including their high spatial derivatives. A collection of surface fitting methods has been developed for extracting this information accurately from 3-dimensional field data on a grid, as provided by various 3-dimensional finite-element field codes. Based on these realistic field models, Lie or other methods may be used to compute accurate design orbits and accurate transfer maps about these orbits. Part I of this work presents a treatment of straight-axis magnetic elements, while Part II will treat bending dipoles with large sagitta. An exactly-soluble but numerically challenging model field is used to provide a rigorous collection of performance benchmarks.
Cite
@article{arxiv.1001.1447,
title = {Accurate Transfer Maps for Realistic Beamline Elements: Part I, Straight Elements},
author = {Chad E. Mitchell and Alex J. Dragt},
journal= {arXiv preprint arXiv:1001.1447},
year = {2014}
}
Comments
Accepted to PRST-AB. Changes: minor figure modifications, reference added, typos corrected.