Design of double-bend and multibend achromat lattices with large dynamic aperture and approximate invariants
Abstract
A numerical method to design nonlinear double- and multibend achromat (DBA and MBA) lattices with approximate invariants of motion is investigated. The search for such nonlinear lattices is motivated by Fermilab's Integrable Optics Test Accelerator, whose design is based on an integrable Hamiltonian system with two invariants of motion. While it may not be possible to design an achromatic lattice for a dedicated synchrotron light source storage ring with one or more exact invariants of motion, it is possible to tune the sextupoles and octupoles in existing double- and multibend achromat lattices to produce approximate invariants. In our procedure, the lattice is tuned while minimizing the turn-by-turn fluctuations of the Courant-Snyder actions Jx and Jy at several distinct amplitudes, while simultaneously minimizing diffusion of the on-energy betatron tunes. The resulting lattices share some important features with integrable ones, such as a large dynamic aperture, trajectories confined to invariant tori, robustness to resonances and errors, and a large amplitude-dependent tune spread. Compared to the nominal National Synchrotron Light Source-II lattice, the single- and multibunch instability thresholds are increased and the bunch-by-bunch feedback gain can be reduced.
- Publication Date:
- Research Org.:
- Brookhaven National Laboratory (BNL), Upton, NY (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP); USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1837468
- Alternate Identifier(s):
- OSTI ID: 1842016; OSTI ID: 1893113
- Report Number(s):
- BNL-222654-2022-JAAM
Journal ID: ISSN 2469-9888; PRABCJ; 124001
- Grant/Contract Number:
- SC0012704; AC02-05CH11231
- Resource Type:
- Published Article
- Journal Name:
- Physical Review Accelerators and Beams
- Additional Journal Information:
- Journal Name: Physical Review Accelerators and Beams Journal Volume: 24 Journal Issue: 12; Journal ID: ISSN 2469-9888
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; Higher order beam dynamics; Lattices in beam optics; Nonlinear beam dynamics; Single-particle dynamics
Citation Formats
Li, Yongjun, Hwang, Kilean, Mitchell, Chad, Rainer, Robert, Ryne, Robert, and Smaluk, Victor. Design of double-bend and multibend achromat lattices with large dynamic aperture and approximate invariants. United States: N. p., 2021.
Web. doi:10.1103/PhysRevAccelBeams.24.124001.
Li, Yongjun, Hwang, Kilean, Mitchell, Chad, Rainer, Robert, Ryne, Robert, & Smaluk, Victor. Design of double-bend and multibend achromat lattices with large dynamic aperture and approximate invariants. United States. https://doi.org/10.1103/PhysRevAccelBeams.24.124001
Li, Yongjun, Hwang, Kilean, Mitchell, Chad, Rainer, Robert, Ryne, Robert, and Smaluk, Victor. Mon .
"Design of double-bend and multibend achromat lattices with large dynamic aperture and approximate invariants". United States. https://doi.org/10.1103/PhysRevAccelBeams.24.124001.
@article{osti_1837468,
title = {Design of double-bend and multibend achromat lattices with large dynamic aperture and approximate invariants},
author = {Li, Yongjun and Hwang, Kilean and Mitchell, Chad and Rainer, Robert and Ryne, Robert and Smaluk, Victor},
abstractNote = {A numerical method to design nonlinear double- and multibend achromat (DBA and MBA) lattices with approximate invariants of motion is investigated. The search for such nonlinear lattices is motivated by Fermilab's Integrable Optics Test Accelerator, whose design is based on an integrable Hamiltonian system with two invariants of motion. While it may not be possible to design an achromatic lattice for a dedicated synchrotron light source storage ring with one or more exact invariants of motion, it is possible to tune the sextupoles and octupoles in existing double- and multibend achromat lattices to produce approximate invariants. In our procedure, the lattice is tuned while minimizing the turn-by-turn fluctuations of the Courant-Snyder actions Jx and Jy at several distinct amplitudes, while simultaneously minimizing diffusion of the on-energy betatron tunes. The resulting lattices share some important features with integrable ones, such as a large dynamic aperture, trajectories confined to invariant tori, robustness to resonances and errors, and a large amplitude-dependent tune spread. Compared to the nominal National Synchrotron Light Source-II lattice, the single- and multibunch instability thresholds are increased and the bunch-by-bunch feedback gain can be reduced.},
doi = {10.1103/PhysRevAccelBeams.24.124001},
journal = {Physical Review Accelerators and Beams},
number = 12,
volume = 24,
place = {United States},
year = {Mon Dec 27 00:00:00 EST 2021},
month = {Mon Dec 27 00:00:00 EST 2021}
}
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Works referenced in this record:
Low emittance lattice design from first principles: Reverse bending and longitudinal gradient bends
journal, February 2019
- Riemann, B.; Streun, A.
- Physical Review Accelerators and Beams, Vol. 22, Issue 2
IOTA (Integrable Optics Test Accelerator): facility and experimental beam physics program
journal, March 2017
- Antipov, S.; Broemmelsiek, D.; Bruhwiler, D.
- Journal of Instrumentation, Vol. 12, Issue 03
Mathematical Methods of Classical Mechanics
book, January 1989
- Arnold, V. I.
- Graduate Texts in Mathematics
Nonlinear accelerator lattices with one and two analytic invariants
journal, August 2010
- Danilov, V.; Nagaitsev, S.
- Physical Review Special Topics - Accelerators and Beams, Vol. 13, Issue 8
Single-invariant nonlinear optics for a small electron recirculator
journal, April 2019
- Ruisard, K.; Komkov, H. B.; Beaudoin, B.
- Physical Review Accelerators and Beams, Vol. 22, Issue 4
Theory of the alternating-gradient synchrotron
journal, January 1958
- Courant, E. D.; Snyder, H. S.
- Annals of Physics, Vol. 3, Issue 1
Single-particle dynamics in a nonlinear accelerator lattice: attaining a large tune spread with octupoles in IOTA
journal, April 2017
- Antipov, S. A.; Nagaitsev, S.; Valishev, A.
- Journal of Instrumentation, Vol. 12, Issue 04
Construction of higher order symplectic integrators
journal, November 1990
- Yoshida, Haruo
- Physics Letters A, Vol. 150, Issue 5-7
Practical solutions for nonlinear accelerator lattice with stable nearly regular motion
journal, November 2008
- Danilov, V.
- Physical Review Special Topics - Accelerators and Beams, Vol. 11, Issue 11
Analysis of nonlinear dynamics by square matrix method
journal, March 2017
- Yu, Li Hua
- Physical Review Accelerators and Beams, Vol. 20, Issue 3
Numerical optimization of a low emittance lattice cell
journal, April 2019
- Zhang, Tong; Huang, Xiaobiao
- Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 923
Parametrization of Linear Coupled Motion in Periodic Systems
journal, January 1973
- Edwards, D. A.; Teng, L. C.
- IEEE Transactions on Nuclear Science, Vol. 20, Issue 3