Analytic approach to creating homogeneous fields with finite-size magnets

Title data

Rehberg, Ingo ; Blümler, Peter:
Analytic approach to creating homogeneous fields with finite-size magnets.
In: Physical Review Applied. Vol. 23 (2025) Issue 6 . - 064029.
ISSN 2331-7019
DOI: https://doi.org/10.1103/9nnk-jytn

Official URL:

Abstract in another language

Homogeneous magnetic fields can be generated through the strategic arrangement of permanent magnets. The Halbach array serves as a prominent example of an effective design following this principle. However, it is a two-dimensional approach because it is optimal when placing infinitely long magnets—line dipoles—on a circle. If shorter, more realistic magnets are to be used, the optimal arrangement of magnetic moments diverges from the classical Halbach geometry. This paper presents optimal solutions for three-dimensional arrangements calculated for point dipoles, including optimized orientations for single rings and stacks of two rings. They are superior to the original Halbach arrangement and a modification described in the literature, both in terms of the strength and the homogeneity of the magnetic field. Analytic formulae are provided for both cases and tested by experimental realizations.

Further data

Item Type:	Article in a journal
Refereed:	Yes
Keywords:	Magnetism; Permanent Magnets; Methods in Magnetism
Institutions of the University:	Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Former Professors > Chair Experimental Physics V - Univ.-Prof. Dr. Ingo Rehberg Profile Fields > Advanced Fields > Nonlinear Dynamics
Result of work at the UBT:	Yes
DDC Subjects:	500 Science > 530 Physics
Date Deposited:	24 Jun 2025 11:02
Last Modified:	24 Jun 2025 11:02
URI:	https://eref.uni-bayreuth.de/id/eprint/93964