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Soviet Journal of Quantum Electronics

Possibility of compensation of nonlinear phase distortions by parametric radiation converters

É S Voronin, Valery V. Ivakhnik, Vera M. Petnikova, Vladimir S Solomatin, В. А. Шувалов

Published Feb 28, 1981• 2 citations
Publisher

Abstract

The example of Gaussian beams is used in considering the possibility of compensation of nonlinear phase distortions in wavefront reversal systems by means of degenerate parametric processes. The necessary correction of the wavefront is achieved by using spatially modulated pump radiation beams. A suitably corrected reversed wave reconstructs the wavefront of the original signal after passing for the second time through the distorting medium.

DOI
10.1070/qe1981v011n02abeh005923

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The example of Gaussian beams is used in considering the possibility of compensation of nonlinear phase distortions in wavefront reversal systems by means of degenerate parametric processes. The necessary correction of the wavefront is achieved by using spatially modulated pump radiation beams. A suitably corrected reversed wave reconstructs the wavefront of the original signal after passing for the second time through the distorting medium.
A review is given of results obtained by the present authors in investigations of wavefront reversal in degenerate parametric processes. An analysis is made of the problem of transmission of signal radiation along an optically inhomogeneous path. A model of a system to compensate for phase distortions using wavefront reversal in parametric processes is developed. The mathematical device of the spread function is used to determine the limiting capabilities of the method. It is found that satisfactory compensation for distortions is achieved when a parametric radiation converter resolves the effective scale of the inhomogeneities. The possibilities for implementing these systems in practice 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 .
Quality of the wavefront reversal by a four-wave radiation converter in a parabolic waveguide with resonant nonlinearity have been analyzed using the point spread function. Medium with resonant nonlinearity have been modeled by an ensemble of particles described by a two-level energy scheme. It has been shown that over time, the half-width of the point spread function module decreases, reaching a stationary value, the magnitude of which is determined by the first pump wave intensity in the case of a long waveguide. A decrease in the pump radius at low intensity of the first pump wave leads to a decrease in the half-width of the point spread function modulus (the quality of the wavefront reversal improves), and at high intensity leads to an increase in the half-width of the point spread function modulus (the quality of the wavefront reversal deteriorates) in the stationary case with distribution on the back waveguide face depending on the transverse coordinate of the second pump wave amplitude of the according to the Gaussian law.
The interaction of light waves in crystals with a quadratic nonlinearity is considered. It is shown that when one of the interacting waves carries information on the image of an object, such information can be transferred to a different wavelength, providing the basis for a parametric image converter. The results are given of experimental measurements of the noise and sensitivity of parametric-conversion detectors. It is shown that when both interacting waves carry information on an object, the interaction in a nonlinear crystal allows us to obtain correlation functions of the initial images of the objects. Suitable systems make it possible to determine experimentally the correlation function of the images of simple objects. By way of example, a description is given of a system which makes it possible to remove phase distortions introduced by an optical system in the far-field zone.
An investigation was made of the quality of reconstruction of the signal wavefront in a single-pass system for compensation of phase distortions accompanied by frequency up-conversion. It was found that the best resolution and contrast were achieved when the reconstructed field was observed in the optimal focusing plane and the image of an inhomogeneous medium was transferred to the center of a nonlinear converter. The efficiency of the parametric process was enhanced by two-photon excitation of the 3 s –4 s transition in sodium vapor. The converter resolution was 13 lines/mm. The dependence of the contrast in the reconstructed field on the parameters of the compensation system was determined.