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

2021/06/08 by Ziemann, Volker
#Accelerator Physics (physics.acc-ph) #Applied Physics (physics.app-ph) #FOS: Physical sciences

paper · doi:10.48550/arxiv.2106.04153

Abstract

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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