Three-dimensional diffraction of light on sound

Transversal acoustooptical diffraction of bounded Gaussian-shaped beams in the three-dimensional case in the Bragg's mode of diffraction is considered. The system of equations is derived that couples the Fourier spectra of the amplitudes of the transmitted and diffracted light beams, as well as of the sound beam propagating in an isotropic medium without a drift of acoustic energy. The solution to these equations with the corresponding boundary conditions is obtained for both weak and strong acoustooptical interactions. Some specific cases of the transversal acoustooptical diffraction at different levels of the input acoustic power density are analyzed.