Work

On the equivalence of demagnetization tensors as discrete cell size approaches zero in three-dimensional space

Year: 2024

Type: article

Abstract: 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.

Source: Journal of Applied Physics

DOI: 10.1063/5.0226603

Authors: Hao Liang, Xinqiang Yan

Institutions: Vanderbilt University, Vanderbilt University Medical Center

Language: English

Topic: Magnetic Properties and Applications

Subfield: Electronic, Optical and Magnetic Materials

Field: Materials Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,500

Funder: National Institutes of Health