NUMERICAL-SOLUTION OF PARABOLIC EQUATIONS FOR STRONGLY CURVED FOCUSING SOURCES

In this work the sound field of a source shaped as a spherical cap and mounted in a baffle is studied. The curvature of the source can be la rge. Close to the boundary the Mixed Model Equation is used to describ e the sound field, and near the focal plane the KZK equation is applie d. Numerical solutions of these equations are presented. Our model rep resents an alternative to earlier models for the linear sound propagat ion of sources with large curvature, since it does not treat the bound ary condition in the same manner as these models. The model presented in this paper can also describe nonlinear sound propagation.