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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Intensity dependence of stationary energy transfer in codirectional photorefractive cross-polarization two-wave mixing

Jinsong Liu, Changhong Liang

Published Sep 30, 1996• 0 citations
Publisher

Abstract

The intensity dependence of stationary energy transfer in photorefractive codirectional cross-polarization two-wave mixing is examined. The intensity formulae remained effect both in the saturation and the intermediate regime (before saturation) are driven, and the analytical expressions with the ratio of saturation intensity to total incident intensity as their explicit variable are obtained for the case of pump depletion. It is necessary to use these formulae in some problems, such as the temperature or intensity dependence of cross-polarization two-wave mixing. A method of measuring the coupling coefficient and saturation intensity of a cubic photorefractive crystal is presented, which is suitable for cross-polarization two-wave mixing in the intermediate regime.

DOI
10.1117/12.253230

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IEEE Journal of Quantum Electronics•Jan 1, 1992•9 citations
The intensity dependence of stationary energy transfer in photorefractive codirectional cross-polarization two-wave mixing is examined. The intensity formulae remained effect both in the saturation and the intermediate regime (before saturation) are driven, and the analytical expressions with the ratio of saturation intensity to total incident intensity as their explicit variable are obtained for the case of pump depletion. It is necessary to use these formulae in some problems, such as the temperature or intensity dependence of cross-polarization two-wave mixing. A method of measuring the coupling coefficient and saturation intensity of a cubic photorefractive crystal is presented, which is suitable for cross-polarization two-wave mixing in the intermediate regime.
The intensity and phase formulas that are valid for the saturation and intermediate regime (before saturation) are derived, and the analytical expressions with the ratio of saturation intensity to total incident intensity as their explicit variable are obtained. The intensity dependence of stationary energy transfer in photorefractive codirectional two-wave mixing is examined. It is necessary to using these formulas in some problems, such as the temperature or intensity dependence of two-wave mixing. A method of measuring exponential gain coefficient is presented, which is suitable for two-wave mixing in intermediate regime.
The intensity and phase formulas that are valid for the saturation and inter-mediate regime(before saturation)are derived,and the analytical expressions with the ration of saturation intensity to total incident intensity as their explicit variable are obtanied.The intensity depenence of stationary energy transfer in photorefractive acodirectional two-wave mixing is examined.It is necessary to using these formulas in some problems,such as the temperature of intensity dependence of two-wave mixing.A method of measuring exponen-tial gain coefficient is presented,which is suitable for two-wave mixing in intermediate regime.
It is known that two-wave coupling in photorefractive crystal may result in an intensity-dependent phase shift as well as energy transfer between the two waves without phase crosstalk. In a sense, this kind of phase shift is similar to the intensity-dependent refractive-index effects in Kerr media. Consequently, optical bistability can be established in an optical cavity with a photorefractive crystal. We formulate the model and get the expected bistable transmission with numerical simulations. Several cases, including that of the codirectional coupling and the contradirectional coupling, are considered. The effects of the photorefractive crystal’s distribution absorption and the spatial phase shift between the index grating and the light interference pattern in the crystal on the nonlinear transmission characteristics have also been studied. It is interesting to note that the output of the pumping wave is dependent on the cavity intensity and thus shows bistable behavior with respect to the cavity input as well.
An exact solution to a model of two- and four-wave mixing in photorefractive media with saturable gain and absorption is presented. Pump depletion effects are accounted for, and the procedure for matching two-point boundary conditions is given. Possibilities of multistable solutions are investigated, and procedures on how to deal with such situations are outlined. It is found that the energy transfer between waves is less effective in the nonsaturated regime as compared to the saturated regime. It is also established that the nonsaturated system is more stable than the saturated under the same conditions.>