Two wave mixing in nonlinear Kerr medium and its dependence on photoconductivity and dielectric properties of the medium

Two-wave mixing spectroscopy in Kerr media is shown to be a powerful technique to quantify the strong enhancement of the phase shift and gain in signal beam. The phase shift and gain in signal beam are important parameters for unidirectional ring resonator, an analytical solution for the two wave mixing gain and phase shift in signal in a nonlinear Kerr medium is presented. We have considered only non-degenerate two wave mixing by introducing the grating decay time in terms of photoconductivity and dielectric constant of the Kerr media. Effect of the oscillation frequency shift and angle between the two interfering beams on phase shift and gain of the signal beam has been studied. We have also studied the influence of photoconductivity and dielectric constant of the Kerr media on phase shift and gain of the signal beam in details.