Abstract
We investigate the problem of nonlinear interaction of a gas of three-level atoms with the field of standing waves in the situation where the atomic free path length at the initial and final metastable levels is comparable with the transverse dimensions of the field. The standing waves are resonant to adjacent Doppler-broadened transitions. The case of fields of Gaussian profile is analysed. It has been shown that in the limiting case of large free path length the nonlinear resonance width is of the order of the inverse time of flight of an atom in the field. The first and second derivatives of resonance with respect to frequency are considered. It has been shown that in the situation of flight they contain narrow resonant structures with a width of the order of a homogeneous width of the forbidden transition between metastable levels.
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