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Quantum Electronics

Suppression of dynamic distortions by four-wave mixing in a photorefractive crystal

Victor A. Vysloukh, V. I. Kutuzov, В. А. Шувалов

Published Oct 31, 1996• 3 citations
Publisher

Abstract

A numerical simulation is reported of a one-pass system for suppression of dynamic distortions, which is based on four-wave mixing of optical fields in photorefractive crystals. A study is made of the reaction of such a system to various types of noise and it is shown that the system efficiency can be enhanced significantly by mixing an additional coherent field to a distorted signal.

DOI
10.1070/qe1996v026n10abeh000828

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Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC)•Jan 1, 1996•0 citations
A numerical simulation is reported of a one-pass system for suppression of dynamic distortions, which is based on four-wave mixing of optical fields in photorefractive crystals. A study is made of the reaction of such a system to various types of noise and it is shown that the system efficiency can be enhanced significantly by mixing an additional coherent field to a distorted signal.
A theoretical model is constructed for four-wave mixing in a photorefractive crystal where a transmission grating is formed by the drift–diffusion nonlinearity mechanism in the absence of an external electrostatic field and the response of the medium is nonlinear in respect of the modulation parameter. A comparison is made with a model in which the response of the medium is linear in respect of the modulation parameter. Theoretical models of four-wave and two-wave mixing are also compared with experiments.
In a biased photorefractive crystal, the process of two one-dimensional waves mixing, i.e., the dynamical evolution of both pump beam and signal beam, is traced by numerically solving the coupled-wave equation. Direct simulations show that the propagation and stability of the two beams are completely determined by the system parameters, such as the external bias field, the intensity and the beam waist of the pump beam. By adjusting these parameters, one can control the state of two Gaussian waves mixing. The numerical results are helpful for performing a two-wave mixing experiment.
Phase conjugate reflectivity of the photorefractive four-wave mixing system is usually quite unstable and it is serious issue for practical use of these systems. The cause of this instability is mainly combination of the fluctuation of the phases of input signal and pump beams and the slow response time of the photorefractive crystal. When all input beams in the four-wave mixing system are mutually coherent and the phases of the input beams are not stable, four kinds of gratings are compete each other and the phase conjugate output becomes quite unstable. To avoid this problem, we can make one of the pump incoherent to the signal and another pump1. The phase conjugate output is, however, still unstable due to the rewriting of the grating caused by the fluctuation of the phase of the input beams. In this paper, we report our feedback system to stabilize the power of the phase conjugate output from the four-wave mixing system by controlling the phase of the signal beam. In this system, we detect the phase difference between signal and forward pump beam with lock-in amplifier and control the phase of the signal with a piezoelectric mirror to stabilize the phase difference.