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

Journal Article · · Physical Review Accelerators and Beams
ORCiD logo [1];  [1]; ORCiD logo [1]
  1. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
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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.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1633461
Alternate ID(s):
OSTI ID: 1661605
Journal Information:
Physical Review Accelerators and Beams, Vol. 23, Issue 6; ISSN 2469-9888
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (11)

Finding a nonlinear lattice with improved integrability using Lie transform perturbation theory journal May 2004
Overcoming a fast transverse instability by means of octupole-induced tune spread in the Relativistic Heavy Ion Collider journal August 2002
IOTA (Integrable Optics Test Accelerator): facility and experimental beam physics program journal March 2017
Mathematical Methods of Classical Mechanics book January 1989
Nonlinear accelerator lattices with one and two analytic invariants journal August 2010
Rapid-cycling synchrotron for multi-megawatt proton facility at Fermilab journal July 2019
Classical Mechanics of Dipolar Asymmetric top Molecules in Collinear Static Electric and Nonresonant Linearly Polarized Laser Fields: Energy-Momentum Diagrams, Bifurcations and Accessible Configuration Space journal April 2008
Bifurcation diagrams involving the linear integral of Yehia journal February 2010
Monodromy in the hydrogen atom in crossed fields journal August 2000
Fractional Bidromy in the Vibrational Spectrum of HOCl journal March 2010
Experimental Demonstration of Classical Hamiltonian Monodromy in the 1 ∶ 1 ∶ 2 Resonant Elastic Pendulum journal July 2009

Figures / Tables (23)

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