Magnetic Field within a Superconductor Disk

When a magnet is field cooled to a superconductor, a magnetic field is embedded within the surface/volume of the superconductor disk. The superconductor resists any change in the magnetic field around it, thus resisting any displacement of this magnet. This creates a potential well where the stable position and orientation is the original field cooled position and orientation. We intend to map these magnetic fields empirically with a custom built magnet mapping testbed.