A stream function method for gradient coil design
A stream function method for gradient coil design
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DOI：
10.1002/cmr.b.20040
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发表时间：
2005-08-01
影响因子：
0.9
通讯作者：
Ludwig, R
中科院分区：
文献类型：
--
作者：
Lemdiasov, RA;Ludwig, R
提出了一种新的磁共振成像梯度线圈的设计方法。理论公式涉及的约束成本函数之间的期望字段在空间中的一个特定区域的兴趣和一个几乎任意定义的表面，进行当前配置的基础上的Biot-Savart的积分方程。一个适当的权重函数与线性近似函数相结合，允许变换的问题制定成一个线性矩阵方程，其解决方案产生离散的电流元素在指定的线圈表面内的幅度和方向。数值预测和比较与实际测量的G，G，G，梯度线圈强调了这种方法在实现高度线性场同时保持低寄生场和低电感方面的成功。(c)2005 Wiley Periodicals，Inc.
A new design approach for the construction of gradient coils for magnetic resonance imaging is presented. The theoretical formulation involves a constraint cost function between the desired field in a particular region of interest in space and an almost arbitrarily defined surface that carries the current configuration based on Biot-Savart's integral equation. An appropriate weight function in conjunction with linear approximation functions permits the transformation of the problem formulation into a linear matrix equation whose solution yields discrete current elements in terms of magnitude and direction within a specified coil surface. Numerical predictions and comparisons with practical measurements for the G., G, G, gradient coils underscore the success of this approach in terms of achieving highly linear fields while maintaining low parasitic fields and low inductances. (c) 2005 Wiley Periodicals, Inc.