Manipulative resonant nonlinear optics: nonlinear interference effects and quantum control of nonlinearity, dispersion, transparency and inversionless amplification in an extended strongly-absorbing inhomogeneously-broadened medium

Specific features of nonlinear interference processes at quantum transitions in near- and fully-resonant optically-dense Doppler-broadened medium are studied. The feasibility of overcoming of the fundamental limitation on a velocity-interval of resonantly coupled molecules imposed by the Doppler effect is shown based on quantum coherence. This increases the efficiency of nonlinear-optical processes in atomic and molecular gases that possess the most narrow and strongest resonances. The possibility of all-optical switching of the medium to opaque or, alternatively, to absolutely transparent, or even to strongly-amplifying states is explored, which is controlled by a small variation of two driving radiations. The required intensities of the control fields are shown to be typical for cw lasers. These effects are associated with four-wave mixing accompanied by Stokes gain and by their interference in fully- and near-resonant optically-dense far-from-degenerate double-Lambda medium. Optimum conditions for inversionless amplification of short-wavelength radiation above the oscillation threshold at the expense of the longer-wavelength control fields, as well as for Raman gain of the generated idle infrared radiation, are investigated. The outcomes are illustrated with numerical simulations applied to sodium dimer vapor. Similar schemes can be realized in doped solids and in fiber optics.