NUMERICAL-ANALYSIS OF LONG-RANGE ACOUSTIC PROPAGATION BASED ON WIDE-ANGLE PARABOLIC WAVE-EQUATION

The purpose of this paper is to describe an accurate computational met hod for underwater acoustic propagation problems based on the wide ang le wave equation with the transparent boundary condition. In order to evaluate the present method, we calculate typical examples of a deep u nderwater propagation model with Munk's sound velocity profile and sha llow underwater with the sound profile increasing exponentially from t he sea. surface to the bottom including the loss in the seabed materia l. The results are almost the same as the semi-analytical solutions ob tained using rays or normal modes. The validity and usefulness of the present method are confirmed.