Demagnetization factors and field of hemispherical objects

IF 3 3区 材料科学 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY Journal of Magnetism and Magnetic Materials Pub Date : 2025-08-15 Epub Date: 2025-04-19 DOI:10.1016/j.jmmm.2025.173047
Frederik L. Durhuus , Ellen Fogh , Thomas Jauho , Marco Beleggia
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Abstract

Demagnetization factors play an important role in micromagnetics modeling but exact solutions only exist for a limited number of particle shapes. Here we use a Fourier space based approach coupled to the concept of magnetic charges to derive analytically the demagnetization factors for shapes that are subsets of a sphere: spherical sectors and spherical caps. For the uniformly magnetized hemisphere, which is a special case of both geometries, the exact demagnetization factors are shown to be Nx=Ny=7/(9π) parallel to the bottom plane and Nz=114/(9π) in the direction of the dome. Additionally, we provide expressions for shape amplitudes and demagnetization fields of these objects in terms of rapidly converging series. Our work demonstrates the potential of evaluating shape amplitudes to determine demagnetization factors in certain geometries and our results may facilitate numerical simulations of, for example, ferromagnetic droplets.
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半球形物体的退磁因子与磁场
消磁因子在微磁学建模中起着重要的作用,但精确解只存在于有限数量的粒子形状中。在这里,我们使用基于傅里叶空间的方法与磁荷的概念相结合,解析地推导出球体子集形状的消磁因子:球形扇形和球形帽。对于均匀磁化的半球,这是两种几何形状的特殊情况,精确的退磁因子显示为平行于底平面的Nx=Ny=7/(9π)和圆屋顶方向的Nz=1−14/(9π)。此外,我们还提供了这些物体的形状振幅和退磁场的快速收敛级数表达式。我们的工作证明了评估形状振幅的潜力,以确定某些几何形状的退磁因子,我们的结果可能有助于数值模拟,例如,铁磁液滴。
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来源期刊
Journal of Magnetism and Magnetic Materials
Journal of Magnetism and Magnetic Materials 物理-材料科学:综合
CiteScore
5.30
自引率
11.10%
发文量
1149
审稿时长
59 days
期刊介绍: The Journal of Magnetism and Magnetic Materials provides an important forum for the disclosure and discussion of original contributions covering the whole spectrum of topics, from basic magnetism to the technology and applications of magnetic materials. The journal encourages greater interaction between the basic and applied sub-disciplines of magnetism with comprehensive review articles, in addition to full-length contributions. In addition, other categories of contributions are welcome, including Critical Focused issues, Current Perspectives and Outreach to the General Public. Main Categories: Full-length articles: Technically original research documents that report results of value to the communities that comprise the journal audience. The link between chemical, structural and microstructural properties on the one hand and magnetic properties on the other hand are encouraged. In addition to general topics covering all areas of magnetism and magnetic materials, the full-length articles also include three sub-sections, focusing on Nanomagnetism, Spintronics and Applications. The sub-section on Nanomagnetism contains articles on magnetic nanoparticles, nanowires, thin films, 2D materials and other nanoscale magnetic materials and their applications. The sub-section on Spintronics contains articles on magnetoresistance, magnetoimpedance, magneto-optical phenomena, Micro-Electro-Mechanical Systems (MEMS), and other topics related to spin current control and magneto-transport phenomena. The sub-section on Applications display papers that focus on applications of magnetic materials. The applications need to show a connection to magnetism. Review articles: Review articles organize, clarify, and summarize existing major works in the areas covered by the Journal and provide comprehensive citations to the full spectrum of relevant literature.
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