We considered the acousto-optic interaction of the optical and acoustic beams bearing spin and orbital angular momenta as well as vector beams of different polarization orders. The acousto-optic diffraction will be considered at the various conditions and geometries, i.e., tangential and collinear diffraction, diffraction in the presence of conical refraction, etc. As a result, the acousto-optic rules of the topological algebra of the strength of defects embedded into acoustic and optical beams have been demonstrated. The experimental results approved theoretical investigations of the acousto-optic interaction of singular acoustic and optical beams are presented.
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