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Soviet Journal of Quantum Electronics

Wavefront reversal of optical radiation using feedback in four-wave interaction

Igor' M Bel'dyugin, Michail G. Galushkin, E M Zemskov

Published May 31, 1984• 43 citations
Publisher

Abstract

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.

DOI
10.1070/qe1984v014n05abeh005081

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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 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.
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.
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 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.
A wavefront reversal system is proposed for high-power optical radiation. This system is based on a resonant four-wave interaction without recourse to external pump waves. Stimulated scattering of the wave being reversed in a resonant medium placed inside a resonator creates two opposite pump waves and a parametric interaction between them generates reversed radiation. The efficiency of such self-reversal is comparable with the efficiency of conventional wavefront reversal as a result of a four-wave interaction in nonresonant media with a phase nonlinearity and it may reach 10 −3 .
An analysis is made of double phase conjugation in media with a local response. A threshold is found for the generation of a phase-conjugated wave by the double process in a medium with a local response and with additional amplification. An analysis is made of the further possibilities of generation of phase-conjugated radiation in the case of a four-wave interaction characterized by a feedback loop established when double phase conjugation takes place in a nonlinear medium. The threshold intensity of the input radiation ensures possible generation of a phase-conjugated wave as a result of a four-wave interaction characterized by a feedback loop and merging of counterpropagating beams in a nonlinear medium.