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The propagation behavior of the weak polarized wave in media with laser induced anisotropy is theoretically analyzed on the basis of a tensor operator formalism. Functional relationships are presented between the nonlinear spectroscopy (saturation and polarization variants) signal (NSS) on one hand and the intensity, arbitrary polarizations and propagation directions of the pump and probe waves, the third-order nonlinear susceptibility (3NS) on the other hand. A novel method for nonlinear polarization spectroscopy (NPS) is proposed that is based on investigating the dependence of polarization alterations of the test wave and its intensity behind the crossed analyzer on the pump beam ellipticity. Detection of the extreme values of the ellipticity allows determination of the real and imaginary parts of the 3NS and their ratio. The polarization conditions are given for which the NSS does not depend on the ellipticity of pumping. The optimum optical density value of the sample is derived for the NPS experiments. The results obtained for the polarization dependence of the NPS signal are in good agreement with experimental reports.

In this paper a theoretical consideration of quasi-steady-state generation of dye lasers (DL) with an isotropic FabryPerot-type resonator and coaxial (longitudinal) laser pumping is presented for the regime of saturation in the orientation distribution of excited molecules. Our analysis is carried out for cases of parallel and orthogonal mutual orientation of dipole moments of transitions with absorption and emission in dye molecules. The effect of intensity and polarization state of longitudinal pumping on the degree of linear polarization and output intensity of DL has been clarified. A preference of circular pump polarization occurs in our theory. The comparison of the results obtained with the experimental studies is also performed.

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