Analytic Expressions for Shielded Halbach Multipoles
Volker Ziemann
TL;DR
This paper derives explicit formulas for the magnetic fields of Halbach multipoles when placed inside high-permeability shields using the method of images.
Contribution
It provides the first analytic expressions for shielded Halbach multipoles, facilitating better design and analysis of magnetic systems.
Findings
Derived closed-form expressions for shielded Halbach multipoles.
Validated the analytic formulas against numerical simulations.
Enhanced understanding of magnetic field behavior in shielded environments.
Abstract
We employ the method of images to derive analytic expressions for the magnetic field of Halbach multipoles that are enclosed in high-permeability shielding.
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