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Micromagnetics on Curved Geometries Using Rectangular Cells: Error Correction and Analysis



Michael J. Donahue, Robert McMichael


This paper presents an edge field correction for micromagnetic computations of arbitrarily shaped objects on rectangular grids. The correction is compatible with FFT techniques and involves factors that are precomputed using the standard self-magnetostatic algorithms applied on a local, refined mesh. To evaluate this correction, we introduce a quantitative measure that is based on calculating an edge mode resonance for different orientations of an edge with respect to the rectangular mesh. Applied to a 350 nm Permalloy square, we find up to a 50% frequency shift for the uncorrected approach, but less than a 5% shift using the proposed method. We also study vortex expulsion in a 220 nm Permalloy square, and again find that the proposed correction significantly reduces the dependence of the expulsion field on the orientation angle of the sample square with the mesh.
IEEE Transactions on Magnetics


edge corrections, magnetic edge properties, micromagnetic modeling


Donahue, M. and McMichael, R. (2007), Micromagnetics on Curved Geometries Using Rectangular Cells: Error Correction and Analysis, IEEE Transactions on Magnetics, [online], (Accessed June 15, 2024)


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Created May 31, 2007, Updated October 12, 2021