MRI梯度线圈磁场感应涡流方法的研究

      Research on MRI Gradient Coil Magnetic Field Induced Eddy Current Method

      • 摘要: 磁共振成像系统的梯度线圈生产完成之后,为了确认装配精度是否满足电磁场的要求,需要进行电磁场测试。由于无源电磁场Bz满足拉普拉斯方程且是调和函数。根据调和函数的极值原理可知:Bz的最大或最小值只能出现在边界上,因此磁场的观测点一般都选在球形成像区的表面上。对用于人体全身磁共振成像的超导磁体,其匀场区一般选为磁体中心直径为 40~50 cm 的球形区域作为匀场目标区域,只需要测定40~50 cm球形面的场值,数据后处理得到球谐系数判断梯度线圈的磁场性能的优劣。电磁场的测试原理和方法很多,因此在商业应用领域没有统一的方式和方法。该文基于高斯-勒让德积分数值算法,通过搭建一台数据采集系统测量和分析梯度线圈的电磁场性能。该文借助数值分析方法利用离散的测试数据计算出磁场的球谐系数,为梯度线圈的生产和测试提供了一种可行性的方法。

         

        Abstract: After the production of the gradient coil of the magnetic resonance imaging system is completed, magnetic field testing is required to confirm whether the assembly accuracy meets the magnetic field requirements. Because the passive magnetic field Bz satisfies the Laplace's equation and is a Harmonic function; According to the extreme value principle of Harmonic function, the maximum or minimum value of Bz can only appear on the boundary, so the observation points of the magnetic field are generally selected on the surface of the spherical imaging area. For superconducting magnets used for whole body magnetic resonance imaging of the human body, the shimming zone is generally selected as a spherical area with a center diameter of 40−50 cm as the shimming target area. Only the field value of the 40−50 cm spherical surface needs to be measured, and the spherical harmonic coefficient obtained after data processing is used to determine the magnetic field performance of the gradient coil. There are many testing principles and methods for magnetic fields, so there is no unified way and method in the field of commercial applications. This article is based on the Gaussian Legendre integral numerical algorithm, measures and analyzes the magnetic field performance of gradient coils by building a data acquisition system. This article applies numerical analysis methods to calculate the spherical harmonic coefficient of the magnetic field using discrete test data, providing a feasible method for the production and testing of gradient coils.

         

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