The direction of magnetization in which the magnetic field becomes the strongest in the x-axis direction in the spherical coordinate system is used. Its magnetic field depends on the φ direction in the spherical coordinate system, that is, strongest at the top (φ = 0) and the bottom (φ = π), and the side (φ = π⁄2) becomes the weakest. Therefore, when segmenting, it was divided to include the top and the bottom parts. In addition, in order to make it an optimal segmentation, it is effective to make the range of the top and bottom divisions wide, the sides narrow, and the direction of magnetization close to the top and the bottom directions. By optimizing in this way, the magnetic field is larger than the equal division. For example, it was about 1.09 times stronger in three divisions. This was confirmed by the experiment. However, there is a problem that the demagnetic field in the center becomes strong by optimizing. The type of division which is strong in this problem is also introduced.

中文翻译：

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Halbach 球的最佳分割

使用在球坐标系中的x轴方向上磁场变得最强的磁化方向。它的磁场取决于球坐标系中的φ方向，即顶部（φ  =0）和底部（φ  =  π）最强，侧面（φ  =  π⁄2) 成为最弱的。所以在切分的时候，分为了top和bottom两部分。此外，为了使其成为最佳分割，将顶部和底部的分割范围宽，两侧变窄，磁化方向接近顶部和底部方向是有效的。通过这样优化，磁场比等分要大。例如，它在三个分区中大约强了 1.09 倍。实验证实了这一点。然而，存在通过优化使中心的去磁场变强的问题。还介绍了在这个问题上强的除法类型。