Abstract
We develop a strict theory of nonlinear propagation of few interacting stronglight beams. The key idea of our approach is a self-consistent solutionof the nonlinear wave equation and the density matrix equations of thematerial beyond the rotatory wave approximation. We assume a Fourierexpansion of the density matrix which goes beyond the conventional Taylorexpansions of the polarization over the field amplitudes which is inadequate forthe field strengths that we are interested in. Two qualitatively differentsituations are considered, with and without phase matching. Unlike in ourprevious paper (Baev et al 2003 J. Opt. Soc. Am. B at press) devoted to thethree-photon (TP) absorption induced upconverted lasing, we obtainhere a strict solution for the nonlinear interaction between different lightbeams. The general theory is applied to a numerical study of the role ofsaturation in TP photoabsorption by an organic chromophore in solution.
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