Theory of Saturational Narrowing

Abstract

A new theory of saturational narrowing in NMR is developed, by making use of the method of orthogonal operators expansion which has been reported in a previous article. A set of equations of motion for average values of dynamical quantities is exactly derived from the Liouville equation. With the aid of the equations, the absorption line shape is studied. In the case of strong saturation, the absorption line shape coincides with Provotorov’s one, provided the cross relaxation times are neglected, while the resonance frequency shift appears, otherwise.