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IEEE Journal of Quantum Electronics

Coherent-beam amplification and polarization switching in a birefringent medium-photorefractive crystal

I. C. Khoo, Y. Liang, Haorong Li

Published Jan 1, 1992• 12 citations
Publisher

Abstract

A recent theory of polarization switching and beam amplification effect in Kerr-like media is extended to birefringent photorefractive crystals. In this class of material, the birefringence allows a new mechanism for coherent nonlinear mixing effects among the extraordinary and ordinary waves, leading to amplification and polarization switching effects. Analytic solutions of the parametric equations governing these interacting waves are solved for both the phase-matched and phase-mismatched geometries. The authors also present an experimental confirmation of the predicted polarization switching effect.>

DOI
10.1109/3.142579

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Photorefractive Effects, Materials, and Devices•Jan 1, 1991•0 citations
A recent theory of polarization switching and beam amplification effect in Kerr-like media is extended to birefringent photorefractive crystals. In this class of material, the birefringence allows a new mechanism for coherent nonlinear mixing effects among the extraordinary and ordinary waves, leading to amplification and polarization switching effects. Analytic solutions of the parametric equations governing these interacting waves are solved for both the phase-matched and phase-mismatched geometries. The authors also present an experimental confirmation of the predicted polarization switching effect.>
We present a detailed analysis of the parametric interaction between a strong and a weak coherent beam with a varying mixture of extraordinary and ordinary rays in nonlinear birefringent media, such as liquid crystals and photorefractive crystals. Through the induced refractive-index changes associated with scalar parameters, such as temperature and space-charge density, the e- and o-rays are energetically coupled, leading to beam amplification and polarization-switching effects. We present the explicit conditions for observing these effects and a detailed analysis of the feasibility of doing so based on experimental data on liquid crystals.
We present an eight-dimensional matrix formulation of vector four-wave mixing. We study the case of a nonoptically active photorefractive for the transmission grating. The coupled equations are represented in a group formalism and irreducible forms are found. We show that when cross-polarization coupling is neglected, the system of equations is governed by two coupled SU(2) groups. We develop a theory that allows for pump depletion and electric-field-induced bulk birefringence. Analytical solutions are found when cubic 4¯3m materials are considered in two standard experimental geometries, i.e., electric fields perpendicular to the (110) crystal faces and electric fields perpendicular to the (001) crystal faces. Results are presented that show the effects of linear and circular polarized beams, and the use of these materials for vector phase conjugation is discussed. Solution routes to other geometries and noncubic photorefractive materials are also presented.
Two-wave mixing allows one to change effectively Intensities, phases, space profiles, polarizations and time evolution of interacting beams [1,21. We will show, that two-wave mixing of partially coherent beams may be used to increase degree of coherence of these beams. The physics of the effect under discussion is as follows: two partially coherent beams write a refraction index grating in a nonlinear medium whose position and profile are practically stationary. Scattering of strong beam on this grating in the direction of the weak one means that this weak beam acquires an addition, that is coherent with the strong beam, thereby increasing degree of coherence of the beams. Similar effects were discussed in connection with scattering of different frequency components at the common running grating [3] and with Interaction of different polarization components [4,5].