arXiv Open Access 2020

Averaged Invariants in Storage Rings with Synchrotron Motion

Stephen Webb Nathan Cook Jeffrey Eldred

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Abstrak

In an ideal accelerator, the single-particle dynamics can be decoupled into transverse motion -- the betatron oscillations -- and longitudinal motion -- the synchrotron oscillations. Chromatic and dispersive effects introduce a coupling between these dynamics, the so-called synchro-betatron coupling. We present an analysis of the fully coupled dynamics over a single synchrotron oscillation that leads to an averaged invariant with synchro-betatron coupling in a generic lattice. We apply this analysis to two problems: first, a toy lattice where the computations are analytically tractable, then a design for a rapid cycling synchrotron built using the integrable optics described by Danilov and Nagaitsev, showing that although there is fairly complex behavior over the course of a synchrotron oscillation, the Danilov-Nagaitsev invariants are nevertheless periodic with the synchrotron motion.

Topik & Kata Kunci

physics.acc-ph physics.class-ph

Penulis (3)

Stephen Webb

Nathan Cook

Jeffrey Eldred

Format Sitasi

APA MLA BibTeX

Webb, S., Cook, N., Eldred, J. (2020). Averaged Invariants in Storage Rings with Synchrotron Motion. https://arxiv.org/abs/2007.04935

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2020
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓