Full analytical solution for the magnetic field of uniformly magnetized cylinder tiles

Autor(en)

F. Slanovc, M. Ortner, M. Moridi, C. Abert, D. Suess

Abstrakt

We present an analytical solution for the magnetic field of a homogeneously magnetized cylinder tile and by extension solutions for full cylinders, rings, cylinder sectors and ring segments. The derivation is done by direct integration in the magnetic surface charge picture. Results are closed-form expressions and elliptic integrals. All special cases are treated individually, which enables the field computation for all possible position arguments r∈R³. An implementation is provided in Python together with a performance analysis. The implementation is tested against numerical solutions and applied to compute the magnetic field in a discrete Halbach cylinder and a rotation sensor system.

Organisation(en)

Physik Funktioneller Materialien

Externe Organisation(en)

Silicon Austria Labs GmbH

Journal

Journal of Magnetism and Magnetic Materials

Band

559

Anzahl der Seiten

19

ISSN

0304-8853

DOI

https://doi.org/10.1016/j.jmmm.2022.169482

Publikationsdatum

10-2022

Peer-reviewed

Ja

ÖFOS 2012

103017 Magnetismus

Schlagwörter

ASJC Scopus Sachgebiete

Electronic, Optical and Magnetic Materials, Condensed Matter Physics

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/8b348d7f-f451-4f1d-8f01-2818aa90f59c