Abstract
The specular reflection and transmission of an acoustic plane wave at a randomly rough two-fluid interface is studied. The perturbation method of Bass is used to derive a new set of boundary conditions to replace the unperturbed boundary conditions. The new conditions are valid for surfaces characterized by arbitrary anisotropic correlation functions. Using these new boundary conditions, reflection and transmission coefficients are derived. It is shown that in the Kirchhoff approximation, the reflection and transmission coefficients reduce to those obtained earlier by Eckhart, Clay, Medwin, and Hagy. In the limit of the density of one of the fluids going to zero, the reflection coefficient for a rough pressure release surface is obtained. Results are presented using ocean surface models in terms of wind speed and direction. Subject Classification: 30.40, 30.30, 30.25,30.20.
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