A theoretical investigation is made of the characteristic features of
acousto-optical nonreciprocal effects in anisotropic Bragg diffraction
by travelling ultrasonic waves. It is shown that wide-aperture nonrec
iprocal acousto-optical devices can be constructed from wide-aperture
acoustooptical modulators. The conditions are established for complete
elimination of the amplitude and phase nonreciprocities of acoustoopt
ical devices in the case of double anisotropic diffraction of counterp
ropagating optical waves.