关于三维空间中离散单元大小趋近于零时消磁张量的等价性。

IF 2.7 3区 物理与天体物理 Q2 PHYSICS, APPLIED Journal of Applied Physics Pub Date : 2024-08-28 Epub Date: 2024-08-26 DOI:10.1063/5.0226603
Hao Liang, Xinqiang Yan
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引用次数: 0

摘要

去磁场的计算在磁共振成像和微磁学等多个学科中都至关重要。标准方法是将空间域离散为有限差分单元,并使用退磁张量来计算磁场。不同的消磁张量会导致相邻单元的贡献不接近于零,它们之间的差异也不接近于零,即使单元的尺寸减小也是如此。这项研究表明,在三维空间中,当单元大小趋近于零时,一组特定的磁化张量会产生与考奇主值相同的总去磁场。此外,我们还提供了收敛速度的下限,并通过数值实验进行了验证。
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On the equivalence of demagnetization tensors as discrete cell size approaches zero in three-dimensional space.

The calculation of the demagnetization field is crucial in various disciplines, including magnetic resonance imaging and micromagnetics. A standard method involves discretizing the spatial domain into finite difference cells and using demagnetization tensors to compute the field. Different demagnetization tensors can result in contributions from adjacent cells that do not approach zero, nor do their differences, even as the cell size decreases. This work demonstrates that in three-dimensional space, a specific set of magnetization tensors produces the same total demagnetization field as the Cauchy principal value when the cell size approaches zero. Additionally, we provide a lower bound for the convergence speed, validated through numerical experiments.

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来源期刊
Journal of Applied Physics
Journal of Applied Physics 物理-物理:应用
CiteScore
5.40
自引率
9.40%
发文量
1534
审稿时长
2.3 months
期刊介绍: The Journal of Applied Physics (JAP) is an influential international journal publishing significant new experimental and theoretical results of applied physics research. Topics covered in JAP are diverse and reflect the most current applied physics research, including: Dielectrics, ferroelectrics, and multiferroics- Electrical discharges, plasmas, and plasma-surface interactions- Emerging, interdisciplinary, and other fields of applied physics- Magnetism, spintronics, and superconductivity- Organic-Inorganic systems, including organic electronics- Photonics, plasmonics, photovoltaics, lasers, optical materials, and phenomena- Physics of devices and sensors- Physics of materials, including electrical, thermal, mechanical and other properties- Physics of matter under extreme conditions- Physics of nanoscale and low-dimensional systems, including atomic and quantum phenomena- Physics of semiconductors- Soft matter, fluids, and biophysics- Thin films, interfaces, and surfaces
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