Optimal Inverse Design of Magnetic Field Profiles in a Magnetically Shielded Cylinder
Abstract
Magnetic shields that use both active and passive components to enable the generation of a tailored lowfield environment are required for many applications in science, engineering, and medical imaging. Until now, accurate field nulling, or field generation, has only been possible over a small fraction of the overall volume of the shield. This is due to the interaction between the active fieldgenerating components and the surrounding highpermeability passive shielding material. In this paper, we formulate the interaction between an arbitrary static current flow on a cylinder and an exterior closed highpermeability cylinder. We modify the Green's function for the magnetic vector potential and match boundary conditions on the shield's interior surface to calculate the total magnetic field generated by the system. We cast this formulation into an inverse optimization problem to design activepassive magnetic field shaping systems that accurately generate any physical static magnetic field in the interior of a closed cylindrical passive shield. We illustrate this method by designing hybrid systems that generate a range of magnetic field profiles to high accuracy over large interior volumes, and simulate them in realworld shields whose passive components have finite permeability, thickness, and axial entry holes. Our optimization procedure can be adapted to design activepassive magnetic field shaping systems that accurately generate any physical userspecified static magnetic field in the interior of a closed cylindrical shield of any length, enabling the development and miniaturization of systems that require accurate magnetic shielding and control.
 Publication:

Physical Review Applied
 Pub Date:
 November 2020
 DOI:
 10.1103/PhysRevApplied.14.054004
 arXiv:
 arXiv:2006.02981
 Bibcode:
 2020PhRvP..14e4004P
 Keywords:

 Physics  Applied Physics;
 Physics  Classical Physics
 EPrint:
 22 pages, 9 figures, 1 table