Nonlinear dynamics optimization based on minimizing resonance driving terms along a storage ring
Abstract
The optimization of nonlinear dynamics for a storage ring lattice aims to achieve large dynamic aperture (DA) and momentum aperture (MA), which are critical for beam injection and lifetime. One of the main factors affecting MA is off-momentum DA. In our previous work, it was demonstrated that reducing on- and off-momentum resonance driving terms (RDTs) along the ring is very effective in enlarging on- and off-momentum DAs. In this paper, the previous effectiveness analysis is formulated into a practical nonlinear optimization method, in which the on- and off-momentum ring-averaged RDTs are minimized simultaneously while constraints on tune shifts and the working point are imposed. Off-momentum ring-averaged RDTs are evaluated over a range of momentum deviations to optimize MA more effectively. The dependence of the ring-averaged RDT and DA on tune is also analyzed, showing that reducing the ring-averaged RDT can help guide the working point away from structural resonance lines and control tune shifts with momentum to avoid dangerous resonance lines. Applied to the SOLEIL storage ring, this efficient ring-averaged RDT optimization enables a rapid iterative workflow of optimization, analysis, and refinement, providing physical insight into the lattice and leading to improved nonlinear solutions. One optimized solution achieves a DA comparable to that of the reference solution obtained from tracking-based optimization while improving the beam lifetime, as validated experimentally on the SOLEIL storage ring.
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BibTeX
@article{wei2026nonlinear,
title = {{Nonlinear dynamics optimization based on minimizing resonance driving terms along a storage ring}},
author = {Bingfeng Wei and Zhenghe Bai and Guangyao Feng and Pascale Brunelle and Alexandre Loulergue and Laurent S Nadolski},
journal = {Phys.Rev.Accel.Beams},
year = {2026},
month = sep,
doi = {10.1103/hlyb-qqx6},
url = {https://hal.science/hal-05735453v1},
note = {CC BY},
}
RIS
TY - JOUR
TI - Nonlinear dynamics optimization based on minimizing resonance driving terms along a storage ring
AU - Bingfeng Wei
AU - Zhenghe Bai
AU - Guangyao Feng
AU - Pascale Brunelle
AU - Alexandre Loulergue
AU - Laurent S Nadolski
PY - 2026
DA - 2026/09/02
JO - Phys.Rev.Accel.Beams
DO - 10.1103/hlyb-qqx6
UR - https://hal.science/hal-05735453v1
AB - The optimization of nonlinear dynamics for a storage ring lattice aims to achieve large dynamic aperture (DA) and momentum aperture (MA), which are critical for beam injection and lifetime. One of the main factors affecting MA is off-momentum DA. In our previous work, it was demonstrated that reducing on- and off-momentum resonance driving terms (RDTs) along the ring is very effective in enlarging on- and off-momentum DAs. In this paper, the previous effectiveness analysis is formulated into a practical nonlinear optimization method, in which the on- and off-momentum ring-averaged RDTs are minimized simultaneously while constraints on tune shifts and the working point are imposed. Off-momentum ring-averaged RDTs are evaluated over a range of momentum deviations to optimize MA more effectively. The dependence of the ring-averaged RDT and DA on tune is also analyzed, showing that reducing the ring-averaged RDT can help guide the working point away from structural resonance lines and control tune shifts with momentum to avoid dangerous resonance lines. Applied to the SOLEIL storage ring, this efficient ring-averaged RDT optimization enables a rapid iterative workflow of optimization, analysis, and refinement, providing physical insight into the lattice and leading to improved nonlinear solutions. One optimized solution achieves a DA comparable to that of the reference solution obtained from tracking-based optimization while improving the beam lifetime, as validated experimentally on the SOLEIL storage ring.
ER -