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Description
Accurate magnetic field correction is essential in MR applications to achieve high field homogeneity and reduce manufacturing complexities. This study proposes an adaptive shim design method that leverages recursive linear programming for efficient optimization of shim configurations. Conventional nonlinear optimization approaches, such as Sequential Quadratic Programming (SQP), often result in prolonged computational times and increased design complexity. In contrast, the proposed method uses linear programming for initial shim placement, followed by iterative refinement to enhance field homogeneity while simultaneously addressing manufacturing challenges. By incorporating a perimeter length evaluation metric to minimize the manufacturing complexities, this approach enables rapid convergence, precise field corrections, and practical applicability in the magnet shimming. The results demonstrate significant improvements in computational efficiency and overall design performance for NMR HTS magnets. The effectiveness of the new design approach will be verified through a shimming experiment conducted on an all-ReBCO NMR magnet.
Acknowledgment: This research was supported by National R&D Program through the National Research Foundation of Korea (NRF) funded by Ministry of Science an ICT (2022M3I9A1072464).