A System of coupled differential equations is obtained, making it possible to analyze by numerical methods the diffraction efficiency of a dynamic hologram recorded in a reversible photochromic medium. It is shown that as the angle between the wave vector of the reading wave and the normal to the surface of a photochromic layer is increased, the optimum thickness of a hologram increases and the diffraction efficiency corresponding to it decreases. On erasing a hologram with radiation at the wavelenght #lambda# that travels directly along the z-axis, a decrease of the period of the interference grating being recorded causes an increase of the optimum hologram thickness and the diffraction efficiency corresponding to it. For the case of recording an interference grating whose surfacers are of equal intensity and are perpendicular to the faces of the photochromic layer, an analysis is made of selective properties of a hologram depending on its thickness, the relationship between the cross sections for absorption of radiation at wavelengths #lambda#_1 and #lambda#_2 by photochromic particles, and the ratio between the probabilities of the change of photochromic particles from the form A to the form B and the reverse change on the front face of the photochromic layer.
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