Contrôle de la propagation instantanée d'une onde acoustique

Abstract
A method of the prediction of the acoustical propagation versus the coefficient of compressibility and the medium density is proposed. It is based on the control theory and allows the tracing of a ray related to the compressibility and the density. Those ones follow stochastic differential equations of state models. Using stochastic integration or the prediction equations, the mean state and the related covariance of the medium can be predicted. One obtains a recursive solution from a factorisation in the Fourier space of the acoustical propagation equation in an heterogeneous medium and the utilization of the steady phase method matched to the ray propagation. The heterogeneities give a dispersive medium and new trajectories for the rays.