Line-shape and resolution enhancement of high-resolution F.T.N.M.R. in an inhomogeneous magnetic field

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Abstract
The spatial inhomogeneous magnetic field is studied by means of its effects on a line shape which theoretically would be a lorentzian curve. The Bloch equations permit to solve this problem for a non-spinning sample, in various experiments, and also for a sample rotating around the axis of the field, in the case of a free induction decay signal. We show as an example, how one can theoretically obtain the line shape for some types of inhomogeneous fields. Then, through the definition of a complex function depending only on the inhomogeneity of the magnetic field and on the form of the sample, we propose a new method for the resolution enhancement of Fourier transform nuclear magnetic resonance. This method, suitable for lines with a theoretically lorentzian shape, does not use an empirical parameter. Few examples are presented to demonstrate the potential of this method

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