Magnetic field homogeneity: a new approach to orthogonalizing and optimizing shim gradients

A new approach to optimizing shim coil currents for magnetic resonance magnets is presented. The new approach orthogonalizes the shim coil gradients to allow a simple one-dimensional optimization for each orthogonalized "composite shim." The technique demands no specialized equipment, requiring only the acquisition of simple one-dimensional NMR spectra. Examples from two high-resolution NMR spectrometers are presented, where the shim currents found by the new algorithm provide higher resolution than was obtained by the spectrometer vendor's installation engineers using field-mapping techniques. The examples shown demonstrate the advantages of the technique for high-resolution NMR, but we expect the approach will also find application in a broad variety of areas including imaging and in vivo spectroscopy.