Optimal Inverse Design of Magnetic Field Profiles in a Magnetically Shielded Cylinder

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