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Soviet Journal of Quantum Electronics

Energy efficiency of wavefront reversal in degenerate fourwave interaction in dye solutions

V. V. Kabanov, Alexander S. Rubanov

Published Jun 30, 1982• 1 citation
Publisher

Abstract

A two-level model is used in a theoretical analysis of wavefront reversal in a degenerate four-wave interaction in dye solutions. The results are valid for an arbitrary profile bearing in mind the mirror symmetry of the absorption and luminescence bands. The influence of the spectral characteristics of the dye and of the parameters of the pump radiation on the energy efficiency of wavefront reversal is discussed. In particular, an asymmetric dependence of the reflection coefficient on the frequency detuning of the degenerate four-wave interaction is indicated.

DOI
10.1070/qe1982v012n06abeh005241

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A two-level model is used in a theoretical analysis of wavefront reversal in a degenerate four-wave interaction in dye solutions. The results are valid for an arbitrary profile bearing in mind the mirror symmetry of the absorption and luminescence bands. The influence of the spectral characteristics of the dye and of the parameters of the pump radiation on the energy efficiency of wavefront reversal is discussed. In particular, an asymmetric dependence of the reflection coefficient on the frequency detuning of the degenerate four-wave interaction is indicated.
An investigation is made of wavefront reversal of optical radiation in a nondegenerate four-wave interaction in a resonant medium. It is shown that for a pump intensity comparable with the saturation intensity of the absorption line of the resonant medium, the reversed wave spectrum has two side peaks positioned symmetrically relative to the central peak which corresponds to a degenerate interaction. These side peaks are attributable to regions of negative absorption (amplification) of weak radiation by the resonant medium situated in a high-power field of opposite pump waves. The dependences of the magnitudes and positions of these peaks on the pump intensity can be used to control the spectral and energy characteristics of the reflected radiation. The conditions for self-excitation of a reversing system based on resonant four-wave interaction are determined. In particular, the ranges of the pump intensity and the optical density of the resonant medium in which self-excitation of the reversing system may occur, are determined for a degenerate interaction.
A theoretical analysis is made of the efficiency of wavefront reversal under conditions of a degenerate form of the four-wave interaction in a resonantly absorbing (amplifying) medium allowing for changes in the pump waves as a result of their natural resonant absorption (amplification). The coefficient of reflection into a reversed wave is obtained as a function of the optical thickness of a layer of the medium, the boundary values of the pump wave intensity, and the shift of the field frequency from the line center. The optimal values of these parameters and the corresponding maximum reflection coefficient are determined.
An analysis is made of the theory of four-wave wavefront reversal allowing for linear absorption and reflection of all the interacting waves from a mirror which forms a second reference wave from the first incident wave. The Born approximation is used to find the optimum thickness of the nonlinear medium giving the maximum reversal coefficient. Conditions for parametric four-wave oscillation with an arbitrary frequency shift are determined and the dependence of the threshold intensity of the incident reference wave on the linear reflection coefficient of the wave-forming mirror is found for a given thickness of the medium in the absence of absorption.
A theoretical investigation is made of the characteristics of wavefront reversal in the course of a degenerate four-wave interaction in moving slow-response media. It is shown that the displacement (by a moving medium) of amplitude and phase gratings, and also diffusion of excited particles may influence greatly the parameters of a reversed wave. The characteristics of a nonlinear mechanism of light-induced heat evolution in thermodynamic-nonequilibrium media are determined for spatially inhomogeneous radiation.
The two-level approximation is used to make a theoretical analysis of four-wave mixing in the active medium of a laser whose radiation wavefront is to be reversed. Explicit allowance is made for changes in the amplitudes of the pump waves as a result of their amplification during propagation in the active medium. Both the completely degenerate case, when the frequencies of all four waves are the same, and the case of a small detuning of the signal wave frequency relative to the pump waves are considered. For the completely degenerate case a system of reduced equations allowing for saturation of the inversion was solved by computer using an iterative method. It was found that, under optimum conditions in the saturation regime, the power of the wave reflected from a four-wave mixer may be higher than that of the signal wave.