Revised theory for the interaction of the counter-propagating acoustic waves in materials with hysteresis of nonlinearity

The theory of counter-propagating waves interactions in materials with hysteresis in quadratic nonlinearity is revised by proper accounting for a possible amplitude grating formation. The theory predicts that any strong pump acoustic field induces absorption and diminishing of the velocity for a weak probe wave. The theory describes how these nonlinear effects depend on the ratio of the probe and the pump frequencies.