Theoretical Design of Shim Arrays with Irregular Coil Geometry

Keywords

accuracy accurately actively additional advanced afford alternative appear applied arranged array arrays audience axis baden basis behind capable circular clear coil coils component comprehensive concept conflict considerable considerations considered consisting constrained constraints contouring correct corrected correction cylinder cylindrical degree degrees density design designed development displays distortions efficiency elements encoding engineering equivalent error example expected fashion field fields finding fitting five form former freedom fundamental gains generated generating geometrical geometry gradient harmonic harmonics importantly include indeed independent induced inducing inherently irregular length limitations limits localized logical loop loops magnet magnitude minimization modeling nevertheless novel optimal optimization oriented peak performance peter plot problem quadrant radius ranging reformulation regard regarding regular regularize respectively responsible retain scanner search shaped share shim shimming significantly simplicity simulation since smooth space spatial spherical still strengths subregion subregions substitute suggests summing superior surface systems tailored target terms theoretical tied toward trade typically uniformly vectors volume volumetric weightings winding windings