A method for increasing the frequency shift of optical radiation by means of cascade acousto-optic diffraction of light is proposed and studied. The method is based on special features of anisotropic diffraction in an anisotropic medium and optical properties of gyrotropic media. Five-cascade diffraction of radiation from a He-Ne laser (λ = 0.633 μm) in a TeO_2 single crystal with an efficiency of 8% was obtained experimentally.
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