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Journal of the Optical Society of America B

Polarization selective optical phase conjugation in a Kerr-like medium

A. E. Neeves, Meyer H. Birnboim

Published Mar 1, 1988• 11 citations
Publisher

Abstract

Measurements of optical phase-conjugation signals by degenerate four-wave mixing in an isotropic Kerr-like suspension of polystyrene spheres are reported. Polarization discrimination through orthogonally polarized pump beams was used to measure separately the coarse-grating and the fine-grating contributions. Autocorrelation techniques permitted measurement at low power levels. The coarse-grating contribution to χ(3) for a suspension of 0.05-μm-diameter polystyrene spheres in water yielded an effective χ(3) = 2.4 × 10−15 (m/V)2, in good agreement with theory, whereas the fine-grating contribution for the same solution yielded χ(3) = 0.56 × 10−15 (m/V)2, a value 10 times smaller than predicted by theory. Limitations of the theory are discussed.

DOI
10.1364/josab.5.000701

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Measurements of optical phase-conjugation signals by degenerate four-wave mixing in an isotropic Kerr-like suspension of polystyrene spheres are reported. Polarization discrimination through orthogonally polarized pump beams was used to measure separately the coarse-grating and the fine-grating contributions. Autocorrelation techniques permitted measurement at low power levels. The coarse-grating contribution to χ(3) for a suspension of 0.05-μm-diameter polystyrene spheres in water yielded an effective χ(3) = 2.4 × 10−15 (m/V)2, in good agreement with theory, whereas the fine-grating contribution for the same solution yielded χ(3) = 0.56 × 10−15 (m/V)2, a value 10 times smaller than predicted by theory. Limitations of the theory are discussed.
We have derived the polarization dependent coupling constants for transmission and reflection gratings in degenerate four-wave mixing, measured phase-conjugate signals for various polarization conditions, and determined the relative contribution of the two gratings to the signal. The results obtained with cryptocyanine dissolved in methanol as the nonlinear medium show that the signal from transmission grating is 1.53–2.14 times larger than that from a reflection grating depending on the angle between the wave vectors of the forward pump beam and the probe beam.
We examine phase conjugation via degenerate four-wave mixing in liquid suspensions of microspheres in the small-field limit, where saturation effects can be ignored. For these media, electro- strictive forces modulate the microparticle density in such a way that two orthogonal spatial gratings are created. Coherent scattering of the pump radiation from these two gratings gives rise to the formation of a conjugate wave, as well as amplification of the probe wave. We discuss the steady-state and transient characteristics of the probe and conjugate waves in this regime where the dynamics of the microparticles is governed by diffusion.
We examine phase conjugation via degenerate four-wave mixing in liquid suspensions of microellipsoids in the small-field limit, where saturation effects can be ignored. For these media, electro- strictive torques rotate the microellipsoids in such a way that two orthogonal orientational gratings are created. Furthermore, electrostrictive forces modulate the microparticle density, which gives rise to the formation of two orthogonal spatial gratings that are superimposed on the orientational ones. Coherent scattering of pump radiation from these four gratings generates the conjugate wave and, in the low-loss limit, amplifies the probe wave. We discuss the steady-state and transient characteristics of the probe and conjugate waves in this limit where microparticle dynamics are governed by diffusion.