Department of Biomedical Engineering, Key Laboratory for Biomedical Engineering of Ministry of Education, Zhejiang University, Hangzhou, China.
IEEE Trans Biomed Eng. 2012 Sep;59(9):2412-21. doi: 10.1109/TBME.2012.2188290. Epub 2012 Feb 16.
This paper proposes a finite-difference (FD)-based method for the design of gradient coils in MRI. The design method first uses the FD approximation to describe the continuous current density of the coil space and then employs the stream function method to extract the coil patterns. During the numerical implementation, a linear equation is constructed and solved using a regularization scheme. The algorithm details have been exemplified through biplanar and cylindrical gradient coil design examples. The design method can be applied to unusual coil designs such as ultrashort or dedicated gradient coils. The proposed gradient coil design scheme can be integrated into a FD-based electromagnetic framework, which can then provide a unified computational framework for gradient and RF design and patient-field interactions.
本文提出了一种基于有限差分（FD）的 MRI 梯度线圈设计方法。该设计方法首先使用 FD 逼近描述线圈空间的连续电流密度，然后采用流函数方法提取线圈图案。在数值实现过程中，通过正则化方案构建并求解线性方程组。通过双平面和圆柱梯度线圈设计实例说明了算法细节。该设计方法可应用于超短或专用梯度线圈等特殊线圈设计。所提出的梯度线圈设计方案可以集成到基于 FD 的电磁框架中，从而为梯度和 RF 设计以及患者场相互作用提供统一的计算框架。
