The results of a theoretical study of the laws of degenerate four-wave mixing in a cubic photorefractive crystal of 23 symmetry class are presented. When obtaining the coupled waves equations, it was assumed that light beams have linear polarization, and six mixed holographic gratings are recorded in the crystal. The theoretical model takes into account linear electro-optical, inverse piezoelectric and photoelastic effects, as well as optical activity, natural absorption and circular dichroism of the crystal. The dependences of the reflection coefficient on the thickness of the crystal and the azimuth of the linear polarization of light beams are analyzed for cases when amplitude, phase and mixed gratings are recorded in the crystal by four-wave mixing. It has been established that the highest value of the azimuth-optimized polarization intensity of the phase-conjugated light beam is achieved by diffraction by mixed gratings. The combinations of crystal thickness and light beam polarization azimuths at which maximum values of the reflection coefficient are achieved are determined. It is shown that the efficiency of diffraction of light beams by mixed holographic grating depends on the magnitude of its spatial shift relative to the recording interference pattern. Keywords: Photorefractive crystal, four-wave mixing, reflection coefficient, optical activity, azimuth of polarization.

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