Liang, Hao, & Yan, Xinqiang. (2024). On the equivalence of demagnetization tensors as discrete cell size approaches zero in three-dimensional space. Journal of Applied Physics, 136(8), 083903. https://doi.org/10.1063/5.0226603
This study addresses the challenge of accurately calculating the demagnetization field, which is critical in fields like magnetic resonance imaging (MRI) and micromagnetics. Traditionally, the spatial domain is divided into cells, and demagnetization tensors are used to compute the field. However, depending on the choice of these tensors, contributions from neighboring cells may not diminish properly as cell sizes decrease, leading to inaccuracies.
The authors demonstrate that in three-dimensional space, a specific set of magnetization tensors can produce the same demagnetization field as the Cauchy principal value when the cell size approaches zero. This ensures more accurate and consistent calculations. They also provide a theoretical lower bound for how quickly the method converges, which was validated through numerical experiments. This work improves the precision of demagnetization field calculations, which is essential for applications requiring high accuracy in magnetic field modeling.
