The results of computer simulation experiments concerning strong interaction with strongly curved wave fronts of sound are presented. Such interaction is found to occur locally, at successive points in the interaction region. This is in agreement with the eikonal theory of acousto-optics and its associated diffracted ray diagrams. Based on the latter, measures are presented for the separation between interaction points, their relative independence, and the effective interaction length. These measures are shown to accurately describe the simulation results. Diffraction efficiency for the various orders shows close correspondence with the eikonal theory of uncoupled local interactions. Following the discussion of theory and simulation, implications for wideband acousto-optic devices are considered.