• Open Access

Bifurcation analysis of nonlinear Hamiltonian dynamics in the Fermilab Integrable Optics Test Accelerator

Chad E. Mitchell, Robert D. Ryne, and Kilean Hwang
Phys. Rev. Accel. Beams 23, 064002 – Published 15 June 2020

Abstract

The Integrable Optics Test Accelerator (IOTA) is a novel storage ring at Fermi National Accelerator Laboratory designed (in part) to investigate the dynamics of beams in the presence of highly nonlinear transverse focusing fields that generate integrable single-particle motion with a large spread in the intrinsic betatron tunes. We describe how contemporary geometrical methods from the theory of integrable Hamiltonian systems may be used to locate all critical separatrixlike structures in the 4D transverse phase space, and to construct a complete analysis of the dynamical bifurcations of the system. Application of these techniques results in a global picture of the nominal on-energy transverse dynamics, revealing a rich diversity of accessible dynamical behavior. Similar techniques may be applied to future facilities that exploit the concept of nonlinear integrable optics.

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  • Received 11 March 2020
  • Accepted 27 May 2020

DOI:https://doi.org/10.1103/PhysRevAccelBeams.23.064002

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Accelerators & Beams

Authors & Affiliations

Chad E. Mitchell*, Robert D. Ryne, and Kilean Hwang

  • Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA

  • *ChadMitchell@lbl.gov

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Issue

Vol. 23, Iss. 6 — June 2020

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