A method of magnetic field synthesis for medical NMR imaging

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Abstract
A method of calculating currents in an array surrounding an image plane of a nuclear magnetic resonance spectrometer has been developed. The currents are evaluated in order to create a system of orthogonal magnetic fields in the entire region of the image plane where a sample is to be located. In a two-step procedure, the independent source functions are calculated and next, by applying the Gram–Schmidt process, they are orthogonalized. The linear combination of the set can be used to adjust a proper correcting field which is superimposed with the main field. To calculate the coefficients of the linear combination, the difference between expected and present magnetic field distribution is developed in a series of orthogonal functions. This permits the real time computation of the correcting field which may insert the gradient as well as remove static field inhomogeneities. The current distributions required for generating orthogonal functions and for creating a gradient field has been computed.

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