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The regularities of the stationary degenerate four-wave mixing on transmission holographic gratings formed in the Bi12TiO20 crystal of the (110)-cut are analyzed. The system of differential equations has been obtained; this system that can be used to find the components of the vector amplitudes of linearly polarized light waves in the case of four-wave mixing on phase and phase-amplitude holographic gratings. The theoretical model take into account the linear electrooptic, the photoelastic and the inverse piezoelectric effects, as well as natural optical activity, circular dichroism and crystal absorption. The values of the orientation angle and the crystal thickness where the reflection coefficient can reach maximum values are determined. It was experimentally found that the reflection coefficient can reach 2.4 with an optimal choice of the orientation angle in the Bi12TiO20 crystal of (110)-cut with the thickness of 7.7 mm. It is shown that the best agreement between theoretical and experimental data is achieved if the phase-amplitude structure of transmission holographic gratings formed in the Bi12TiO20 crystal is taken into account in the mathematical model of diffraction.

Holographic interferometry methods, based on mixing of a stationary reference light beam and a phase-modulated signal beam at the related perturbations of the dielectric tensor in photosensitive crystals, have been applied to measure material parameters determining the value of these perturbations. Experimental conditions, under which one can distinguish contributions to the mixing from the flexoelectric and electrogyration effects in cubic photorefractive sillenite crystals, are determined, and the necessity of taking into account the contribution from the flexogyration effect is demonstrated.

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