“…There are two broad classes of optimization target fields: one which consists of a linear static magnetic field gradient perpendicular to the surface of the magnet [ 28 , 32 , 33 , 35 , 41 , 45 , 49 ] or a localized ‘sweet spot’ consisting of a ROI in which the magnetic field is relatively homogeneous in all three dimensions [ 29 , 30 , 34 , 42 , 43 , 48 , 50 ]. In the next section we will use the EA model we developed to find an optimized magnet design solution by varying the relative positions of the individual permanent cubic magnets.…”