A statistical approach to the dynamics of the selection of the desired output hologram in the photorefractive crystal is presented. The hologram is formed in the process of the four wave mixing of the signal image and the reference image with their fannings on the background of the previous expositions with different signal images and reference beams. Desired output is detected as the phase conjugated wave propagating in the direction of the reference beam which was used to write the hologram which is to be selected in the photorefractive crystal. Result of this approach is a system of the coupled waves equations for the time evolution of the amplitudes of the conjugated waves, noise, signal waves and the correlations of the refraction index variations and phase distributions of the waves. Comparison of the numerical modelling results and physical experiments in the geometries of double phase conjugate mirror and semilinear generator with BTO and BSO crystals shows good qualitative concordance.

© 2001 Optical Society of America

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