Three-dimensional NMR imaging using selective excitation

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Abstract
Using numerical solutions of the Bloch (1946) equations under boundary conditions representing the local external magnetic field, and with the aid of a simple model of the nuclear spin process, various effects occurring during selective excitation are described. In particular it is shown that in extending the technique for one to two dimensions there arises the possibility of spurious image response, and that this can be corrected by a suitable combination of signals from a set of three excitation sequences. Since two-dimensional selection activates a column of nuclei, the subsequent application of a lengthwise magnetic field gradient followed by Fourier transformation of the resulting spin signal will directly yield an image line. This provides a technique for full three-dimensional imaging which satisfies moderate data-processing requirements and yet retains (line by line) the advantage of Fourier methods.

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