Document Type

Conference Paper

Publication Date

2024

DOI

10.18429/JACoW-IPAC2024-MOPS13

Publication Title

Proceedings of the 15th International Particle Accelerator Conference

Pages

725-728

Conference Name

15th International Particle Accelerator Conference, May 19-24, 2024, Nashville, TN

Abstract

In this study, we reassess the dynamics within a simple accelerator lattice featuring a single degree of freedom and incorporating a sextupole magnet. In the initial segment, we revisit the Hénon quadratic map, a representation of a general transformation with quadratic nonlinearity. In the subsequent section, we unveil that a conventional sextupole is essentially a composite structure, comprising an integrable McMillan sextupole and octupole, along with non-integrable corrections of higher orders. This fresh perspective sheds light on the fundamental nature of the sextupole magnet, providing a more nuanced understanding of its far-from-trivial chaotic dynamics. Importantly, it enables the description of driving terms of the second and third orders and introduces associated nonlinear Courant-Snyder invariant.

Rights

© 2024 The Authors.

Published by JACoW Publishing under the terms of the Creative Commons Attribution 4.0 International (CC BY 4.0) license. Any further distribution of this work must maintain attribution to the authors, the published article's title, publisher, and DOI.

Original Publication Citation

Zolkin, T., Morozov, I., & Nagaitsev, S. (2024). Understanding sextupole. In F. Pilat, W. Fischer, R. Saethre, P. Anisimov, & I. Andrian (Eds.), Proceedings of the 15th International Particle Accelerator Conference (pp. 725-728). JACoW Publishing. https://doi.org/10.18429/JACoW-IPAC2024-MOPS13

ORCID

0000-0001-6088-4854 (Nagaitsev)

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