Papers › Closed-form expressions for the magnetic field of permanent magnets in three dimensions

Closed-form expressions for the magnetic field of permanent magnets in three dimensions

8 Jun 2021arXiv:2106.04153links table onlyarchive 2025-07-28

Volker Ziemann

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We derive a closed-form expression of the magnetic field of a finite-size current sheet and use it to calculate the field of permanent magnets, which are modeled through their surface current densities. We illustrate the method by determining the multipoles and the effective length due to fringe fields of a finite-length dipole constructed of magnetic cubes.

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