Theory of the nonreciprocal acousto-optical effect in lasers with self-feeding of the diffracted beams

A self-consistent method is used to calculate the phase and amplitude nonreciprocities in ring lasers with an acousto-optical modulator and with self-feeding of the diffracted beams. This method is based on finding the parameters of complex laser oscillation modes, formed by diffraction locking of the fundamental and multibeam laser modes in the acousto-optical modulator.