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3D gradient coil design for open MRI systems

机译:开放式MRI系统的3D梯度线圈设计

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Existing gradient coil design methods typically require some predetermined surface to be specified upon which the precise locations of coil windings are optimised with respect to gradient homogeneity and other measures of coil performance. In contrast, in this paper an analytic inverse method is presented for the theoretical design of 3D gradient coils in which the precise 3D geometry of the coils is obtained as part of the optimisation process. This method has been described previously for cylindrical whole-body gradients and is extended here for open MRI systems. A 3D current density solution is obtained using Fourier series combined with Tikhonov regularisation. The examples presented involve a minimum power penalty function and an optional shielding constraint. A discretised set of 3D coil windings is obtained using an equi-flux streamline seeding method. Results for an unshielded example display a concentration of windings within the portion of the coil volume nearest the imaging region and looped return path windings taken away from this region. However, for a shielded example the coil windings are found to lie almost exclusively on biplanar surfaces, suggesting that this is the optimum geometry for a shielded minimum power open coil.
机译:现有的梯度线圈设计方法通常需要指定一些预定的表面,在该表面上,就梯度均匀性和线圈性能的其他度量而言,优化了线圈绕组的精确位置。相反,在本文中,针对3D梯度线圈的理论设计提出了一种解析逆方法,其中作为优化过程的一部分,获得了线圈的精确3D几何形状。该方法先前已针对圆柱体全身渐变进行了描述,并在此处扩展为开放式MRI系统。使用傅里叶级数与Tikhonov正则化相结合可获得3D电流密度解决方案。给出的示例涉及最小功率损失函数和可选的屏蔽约束。使用等通量流线播种方法可获得一组离散的3D线圈绕组。非屏蔽示例的结果显示线圈体积中最靠近成像区域的部分中的绕组集中以及从该区域中取出的环形回路路径绕组。但是,对于屏蔽示例,发现线圈绕组几乎完全位于双平面表面上,这表明这是屏蔽最小功率开放式线圈的最佳几何形状。

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