Abstract
An iron electromagnet with a gap width of 23.5 cm and diameter of 30 cm was shimmed so that the field was uniform within ±4.2 parts in 104 over the central 19 cm of the axis. A description is given of the shim configuration used, and of the algorithm by which the measured field changes (produced by perturbing a shim) are used to predict an improved set of shim dimensions. The method is not limited to any specific geometry of either the shims or the region over which field homogeneity is desired.

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