Multi-photon processes considering magnetic sublevels coherence

The exact nonlinear theory of polarized radiation propagation is derived in adiabatic following approximation taking into account different populations and coherence of atom magnetic sublevels. The nonlinear refractive indices for circularly and linearly polarized waves in the resonant media with arbitrary angular moments j1 and j2 are obtained. The exact formulas for rotation angle of polarization ellipse axes (without deformation) are found on the sample of medium with j1 = 1/2 and j2 = 3/2. The influence of coherence of magnetic sublevels on multi-photon phenomena and their specific behavior is analyzed.