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MA: Fachverband Magnetismus

MA 46: Magnetic Imaging Techniques II

MA 46.3: Vortrag

Donnerstag, 12. März 2026, 10:00–10:15, POT/0361

Towards Halbach spheres - Icosahedral symmetry is not just cool anymore — •Ingo Rehberg¹ and Peter Blümler² — ¹Experimental Physics, University of Bayreuth, Germany — ²Institute of Physics, University of Mainz, Germany

Halbach spheres [e.g.1] are an ideal theoretical solution for generating homogeneous magnetic fields. Experimentally, a continuous magnetisation profile is difficult to realise, and the inaccessibility of the sphere's interior favours the use of Halbach rings [2,3]. An alternative is to arrange discrete magnets on the surface of a sphere. Regular polyhedra with a high degree of symmetry are well suited to approximate spherical Halbach configurations [3,4]. Icosahedral symmetry is especially effective at producing uniform magnetic fields (4th order saddle points).

[1] Peter Blümler and Helmut Soltner, Practical Concepts for Design, Construction and Application of Halbach Magnets in Magnetic Resonance. Appl. Magn. Reson. 54, 1701 (2023).

[2] Ingo Rehberg and Peter Blümler, Analytic approach to creating homogeneous fields with finite-size magnets, Phys. Rev. Appl. 23, 064029 (2025).

[3] Ingo Rehberg and Peter Blümler, Halbach two point oh: Optimize uniform fields with clusters and rings of permanent magnets. https://doi.org/10.5281/zenodo. 15006677 (2025).

[4] Ingo Rehberg, Dipole Cluster Inspector - A Duty-Free Python GUI for Exploring 569 Magnetic Configurations. https://doi.org/10.5281/zenodo. 10084573 (2025).

Keywords: Homogenous magnetic field; Halbach sphere; Icosahedral symmetry; Platonic solids; Archimedian solids