Halbach 2.0 : Creating homogeneous fields with finite size magnets

Title data

Rehberg, Ingo ; Blümler, Peter:
Halbach 2.0 : Creating homogeneous fields with finite size magnets.
APS
Ithaca, NY : Cornell University , 2025

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:	Preprint, postprint
Keywords:	Halbach Ring; Homogenous Magnetic Field; Point Dipoles; Line Dipoles; Python Animation
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:	28 Feb 2025 10:00
Last Modified:	28 Feb 2025 10:00
URI:	https://eref.uni-bayreuth.de/id/eprint/92575