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Soviet Journal of Quantum Electronics

Compensation of phase distortions in a single-transit wavefront-reversal system with a degenerate four-photon interaction

M S Barashkov, I. N. Matveev, Vera M. Petnikova, A F Umnov, N. D. Ustinov, В. А. Шувалов

Published Nov 30, 1982• 0 citations
Publisher

Abstract

A proposal is made for a system designed to compensate phase distortions in a wavefront-reversal system in which some part of the signal radiation is deflected to pass through a spatial frequency filter and then acts as the pump; the remainder of such radiation acts as the signal. It is shown that a suitable selection of the pass band of the filter can ensure compensation of large-scale phase inhomogeneities in the system and can enable reconstruction of a small-scale structure of an object.

DOI
10.1070/qe1982v012n11abeh006186

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A proposal is made for a system designed to compensate phase distortions in a wavefront-reversal system in which some part of the signal radiation is deflected to pass through a spatial frequency filter and then acts as the pump; the remainder of such radiation acts as the signal. It is shown that a suitable selection of the pass band of the filter can ensure compensation of large-scale phase inhomogeneities in the system and can enable reconstruction of a small-scale structure of an object.
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.
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.
A theoretical analysis is made of the conditions which a resonantly excited medium must have to act as a wavefront-reversing mirror. In the absence of saturation by the incident signal, the absorption cross section at the frequency of this signal should be considerably less than at the reversed-wave frequency. In the case of strong saturation it is preferable to use substances with narrow spectral lines. If a wavefrontreversing mirror is used to compensate distortions of the front of a wave during amplification, the necessary contrast of the reversed wave is a function of the gain and of the width of its profile.