The strong magnetic field arrays by using cubic permanent magnets are proposed as a magnetic field source. The magnets used two types of the magnetized directions: 6 and 18 directions. The array is three‐dimensional structure: cube consisting of three, five, seven, and nine cubic magnets on the side. There are two types of the structures: through‐hole and dead end in the center. For each cube magnet, the magnetic flux density of the center was calculated by the derived formulae, which are solved the area integral by the integral formulae. It is a feature that the calculations are fast. The directions in which the magnetic flux density of the z‐axis is maximized were selected, and the sum of their magnetic flux density was obtained. At the same time, each sum of the magnetic flux density of the x‐axis and y‐axis was selected to be zero. It was found that the obtained results are independent of the length of one side. Therefore, the structures can also be combined to cover the structures. Although the operating point of the magnet is not taken into account, it was able to find the arrangements of more than 2 T. It was confirmed that the array of 24 cubes was consistent with the experiment.

中文翻译：

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使用立方永磁体的强磁场三维阵列

提出了使用立方永磁体的强磁场阵列作为磁场源。磁体使用两种类型的磁化方向：6和18方向。阵列是三维结构：立方体由侧面的三个，五个，七个和九个立方磁铁组成。有两种类型的结构：通孔和中心的死角。对于每个立方磁体，通过导出的公式计算中心的磁通密度，然后通过积分公式求解面积积分。它的特点是计算速度快。选择z轴磁通密度最大的方向，并获得其磁通密度的总和。同时，将x轴和y轴的磁通密度的总和选择为零。发现所获得的结果与一侧的长度无关。因此，结构也可以组合以覆盖结构。尽管未考虑磁体的工作点，但它能够找到大于2 T的排列。已确认24个立方体的排列与实验一致。