Halbach 2.0 : Creating homogeneous fields with finite size magnets

Titelangaben

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

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Abstract

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.