References and further reading

Analytical field of a cuboid

R. Ravaud and G. Lemarquand, “Magnetic Field Produced by a Parallelepipedic Magnet of Various and Uniform Polarization,” Progress In Electromagnetics Research, vol. 98, pp. 207–219, 2009. doi:10.2528/PIER09091704.

This paper derives the scalar potential and all three field components of a uniformly and arbitrarily polarized parallelepiped. It is the primary basis for the Microcubed field equations.

Demagnetizing tensor for cell models

A. J. Newell, W. Williams, and D. J. Dunlop, “A Generalization of the Demagnetizing Tensor for Nonuniform Magnetization,” Journal of Geophysical Research: Solid Earth, vol. 98, no. B6, pp. 9551–9555, 1993. doi:10.1029/93JB00694.

The paper describes mutual demagnetizing tensors for uniformly magnetized bodies and gives explicit formulas for a block model. This methodology underlies rectangular finite-difference demagnetizing kernels.

OOMMF

M. J. Donahue and D. G. Porter, OOMMF User’s Guide, National Institute of Standards and Technology, Oxs_Demag section.

The manual documents constant magnetization per cell, cell-averaged demagnetizing fields, FFT convolution, and the analytical and asymptotic evaluation of the demagnetizing kernel.

Ubermag example

Ubermag Developers, “Calculating a stray field using an airbox method”.

This external tutorial demonstrates an alternative approach using a micromagnetic solver.

Reproducible project examples

See Examples for the self-contained notebooks executed by GitHub Actions.