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Applied Optics

Polarization-preserving wavefront reversal by four-wave mixing in photoanisotropic materials

L. Nikolova, Тодор Тодоров, N. Tomova, Violeta Dragostinova

Published Apr 15, 1988• 27 citations
Publisher

Abstract

A method of polarization (vector) wavefront reversal by four-wave mixing in a photoanisotropic material is described. Jones matrices, describing the dynamic holographic gratings recorded in the material at arbitrary polarization of the signal wave, are derived. They are employed to define the conditions for generating a wave that is fully conjugate (by polarization as well) to the signal wave. The way to achieving these conditions by optically controlling the anisotropy of the nonlinear medium is demonstrated experimentally.

DOI
10.1364/ao.27.001598

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A method of polarization (vector) wavefront reversal by four-wave mixing in a photoanisotropic material is described. Jones matrices, describing the dynamic holographic gratings recorded in the material at arbitrary polarization of the signal wave, are derived. They are employed to define the conditions for generating a wave that is fully conjugate (by polarization as well) to the signal wave. The way to achieving these conditions by optically controlling the anisotropy of the nonlinear medium is demonstrated experimentally.
Polarization-preserving phase conjugation of an arbitrarily-polarized multiple-pulse optical signal by using a modified scheme of time-and-space-domain holography is predicted theoretically and demonstrated experimentally. The experimental results obtained by utilizing octaethylporphin-doped polystyrene at 1.8 K as a spectrally-selective recording material indicate that in full accordance with the theory, the reconstructed phase-conjugated replicas of the multiple-pulse optical signal appear temporally reversed and have conjugated wavefronts while the original temporal and spatial dependence of the polarization state is restored. Thus, complete phase conjugation of an optical signal is demonstrated.>
Nonlinear optical interactions can depend in a complicated manner on the state of polarization of the incident optical waves. For the case of isotropic nonlinear optical materials, the third order nonlinear polarization is expressed in terms of two parameters A and B describing the material system and can be written as1,2 (1) where E → is the total field incident upon the medium. In this paper we present the results of investigations of the polarization properties of phase conjugation by degenerate four-wave mixing (DFWM) in fluorescein-doped boric acid glass and in sodium vapor utilizing the 3S1/2→6S1/2 two-photon allowed transition. We find that these two materials can be used for a vector phase conjugation. Vector phase conjugation (VPC) corrects for both wavefront and polarization distortions upon double pass through an aberrating medium.3
The potentialities of diffraction methods for wavefront transformations may be considerably widened due to the use of nonlinear recording of dynamic holograms enabling multiwave mixing in media with the fifth and higher order nonlinearities. There is a great variety of such media including the resonant ones for which the presence of higher order nonlinearities is conditioned by the absorption saturation effect and transitions between different excited states of the molecules. However, in the majority of previous studies of multiwave mixing the resonant medium approximation has been used disregarding the induced anisotropy effect. This work presents a theoretical model and experimental studies of the energy efficiency of multiwave mixing in complex molecular media exhibiting higher order nonlinearities, in two cases: when the nonlinear cavity is introduced in the Fabry-Perot interferometer (IFP), and without it. Owing to the use of different combinations of mutually aligning polarizations for interacting waves, one is enabled to determine the contribution into the interaction efficiency by various dynamic gratings and nonlinearity mechanisms. The role of polarization gratings resultant from spatial modulation of the light field polarization state at the orthogonal polarization of the hologram recording waves has been established. Comparisons between the contributions of the above gratings and “normal” gratings recorded by identically polarized light beams into the process of multiwave mixing have demonstrated that the relation of these contributions is dependent on the intensity of interacting waves, and also it has been found that polarization of the diffracted wave is dependent on the diffraction order.
Four wave mixing, a third-order optical parametric process, is the nonlinear optical process in which four waves interact with each other through the third-order optical nonlinearity. In this process, three waves form a nonlinear polarization at the frequency of the fourth wave. An important application of degenerate four wave mixing is the generation of phase conjugate wave or simply the phase conjugation. The phase conjugate wave has the same wavefront as the incident wave; however, it propagates backward. The phase conjugation is equivalent to the time reversal. Straightforward application of the time reversal is the correction of phase aberration. Suppose that, the incident wave propagates in the nonuniform medium, such as a laser amplifier, where the temperature is fluctuated by intense pumping. Then, the incident wave suffers severe phase aberration during the propagation and the transmitted wave is then reflected by the phase conjugate mirror and goes back into the same nonuniform medium.