Optimization Design of a Bipolar Ultra‑Low‑Field MRI Magnet Based on Third‑Order Bézier Radial Parametrization and Dual‑Material Architecture

XUAN liang; XU xianfeng

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Optimization Design of a Bipolar Ultra‑Low‑Field MRI Magnet Based on Third‑Order Bézier Radial Parametrization and Dual‑Material Architecture

更新时间：2026-07-29

- Optimization Design of a Bipolar Ultra‑Low‑Field MRI Magnet Based on Third‑Order Bézier Radial Parametrization and Dual‑Material Architecture
- JOURNAL OF XI’AN JIAOTONG UNIVERSITY (2026)
- 作者机构：
  
  交通新能源开发、应用与汽车节能技术陕西省重点实验室，长安大学能源与电气工程学院，710018，陕西西安
- 作者简介：
- 基金信息：
- DOI：
  CLC： TM 15
- Received：22 December 2025，
  
  Revised：2026-01-14，
  
  Accepted：09 April 2026，
- 稿件说明：
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XUAN liang, XU xianfeng. Optimization Design of a Bipolar Ultra‑Low‑Field MRI Magnet Based on Third‑Order Bézier Radial Parametrization and Dual‑Material Architecture[J/OL]. JOURNAL OF XI’AN JIAOTONG UNIVERSITY, 2026.
DOI：

XUAN liang, XU xianfeng. Optimization Design of a Bipolar Ultra‑Low‑Field MRI Magnet Based on Third‑Order Bézier Radial Parametrization and Dual‑Material Architecture[J/OL]. JOURNAL OF XI’AN JIAOTONG UNIVERSITY, 2026. DOI：

摘要

超低场磁共振系统目前同时面临磁场结构均匀性不足与制造成本偏高的挑战。本文提出了一种基于三阶贝塞尔径向参数化的磁体几何优化方法，突破传统圆盘结构局限，通过4自由度参数控制实现磁体边界平滑延拓。通过遗传算法-有限元方法对磁体、极靴、铁轭几何结构同时优化，设计出磁场均值59.2mT，不均匀度1272ppm（较传统方案降低21%）的钐钴磁体系统。其后，本文提出了一种新型钕铁硼-钐钴双材料永磁结构，经复合优化后获得了磁场均值58.5mT，不均匀度降至556ppm（较传统方案降低66%）的双材料磁体系统。本文揭示了双极型磁体在几何范式与材料协同维度的突破潜力，为便携式磁共振成像技术早日走向临床应用提供技术支持。

Abstract

Ultra-low-field magnetic resonance systems still suffer from inadequate field uniformity and elevated manufacturing costs. This paper proposes a novel magnet geometry‑optimization method based on third‑order Bézier radial parametrization

overcoming the limitations of conventional disk‑shaped designs by introducing four degrees of freedom for smooth boundary extension. A coupled genetic‑algorithm and finite‑element optimization of the magnet poles

pole shoes

and yoke yields a SmCo magnet system with an average field of 59.2 mT and a non‑uniformity of 1272 ppm a 21 % improvement over the traditional disk configuration. We then introduce a NdFeB-SmCo dual‑materi al permanent‑magnet architecture; after integrated optimization

this dual‑material system achieves a 58.5 mT average field with non‑uniformity reduced to 556 ppm (a 66 % improvement). These results demonstrate the potential for breakthroughs in both geometric paradigms and material synergy for bipolar magnets

providing technical support for the clinical translation of portable MRI technology.

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