Precise Upper Surface Shimming Algorithm for Isochronous Cyclotrons With the Gauss–Newton Iteration Method

Magnetic field shimming is crucial for achieving isochronous acceleration in a cyclotron. Matrix methods based on least square fitting are commonly used to calculate the cutting curve of a shimming bar. However, this matrix method becomes inapplicable when dealing with cases of nonlinear shimming effects. An algorithm based on the Gauss-Newton iteration method to address shimming problems with nonlinear effects has been proposed. Numerical and experimental results demonstrate the effectiveness and accuracy of this algorithm. It has been applied to a compact PET cyclotron developed at China Institute of Atomic Energy.

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Publication Details

Journal
IEEE Transactions on Nuclear Science
Published
2025-05-07
DOI
https://doi.org/10.1109/tns.2025.3567768
Primary Topic
Particle accelerators and beam dynamics
Type
article
Field-Weighted Citation Impact
0.00

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article

Precise Upper Surface Shimming Algorithm for Isochronous Cyclotrons With the Gauss–Newton Iteration Method

Guang Yang, Fengping Guan, Tianjian Bian, Xinyu Chen et al.
IEEE Transactions on Nuclear Science
Particle accelerators and beam dynamics
article

Precise Upper Surface Shimming Algorithm for Isochronous Cyclotrons With the Gauss–Newton Iteration Method

Guang Yang, Fengping Guan, Tianjian Bian, Xinyu Chen, Peng Huang, Luyu Ji, Pengfei Zhu, Sumin Wei, Yuanhao Liu, Jie Liu, Fei Wang, Jinrong Lu, Jiansheng Xing, Shizhong An, Wu Cong
article en

Abstract

Magnetic field shimming is crucial for achieving isochronous acceleration in a cyclotron. Matrix methods based on least square fitting are commonly used to calculate the cutting curve of a shimming bar. However, this matrix method becomes inapplicable when dealing with cases of nonlinear shimming effects. An algorithm based on the Gauss-Newton iteration method to address shimming problems with nonlinear effects has been proposed. Numerical and experimental results demonstrate the effectiveness and accuracy of this algorithm. It has been applied to a compact PET cyclotron developed at China Institute of Atomic Energy.

IEEE Transactions on Nuclear ScienceVol. 72(6)
China Institute of Atomic Energy (CN)
National Natural Science Foundation of China
Openalex Percentile: Top 87%
Particle accelerators and beam dynamics
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