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Soviet Journal of Quantum Electronics

Wavefront reversal by four-wave mixing in a medium exhibiting Raman nonlinearity

V. M. Izgorodin, S. B. Kormer, Кочемасов Геннадий Григорьевич, Valeri D. Nikolaev, A. V. Pinegin

Published Feb 28, 1982• 3 citations
Publisher

Abstract

A theoretical and experimental investigation is made of the feasibility of wavefront reversal by four-wave interaction in a medium exhibiting Raman nonlinearity. Theoretical dependences of the reflection coefficient of the four-wave mixer on the gain increment, phase detuning, and pump asymmetry parameter are obtained for the case of plane waves. In experiments using a ruby laser and quasiplane waves the maximum reflection coefficient of the nonlinear mirror was 0.5%, which agreed with the theoretical estimate. An experimental investigation was made of the wavefront reversal quality, and possible methods of improving this are discussed.

DOI
10.1070/qe1982v012n02abeh005431

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Soviet Journal of Quantum Electronics•Aug 31, 1981•4 citations
A theoretical and experimental investigation is made of the feasibility of wavefront reversal by four-wave interaction in a medium exhibiting Raman nonlinearity. Theoretical dependences of the reflection coefficient of the four-wave mixer on the gain increment, phase detuning, and pump asymmetry parameter are obtained for the case of plane waves. In experiments using a ruby laser and quasiplane waves the maximum reflection coefficient of the nonlinear mirror was 0.5%, which agreed with the theoretical estimate. An experimental investigation was made of the wavefront reversal quality, and possible methods of improving this are discussed.
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 analysis is made of wavefront reversal which is not sensitive to the optical quality of the nonlinear wavefront-reversing medium when complex-conjugate reference waves are formed spontaneously. An investigation is made of the linear and nonlinear stages of reversed wave generation in various nonlinear media using feedback in degenerate and nondegenerate four-wave interaction. It is shown that in nonamplifying nonlinear media this method can only be achieved by additional amplification of the radiation reflected from the nonlinear medium.
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.
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.