Acoustic Scattering from an Interface between Media of Greatly Different Density

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Abstract
The problem of acoustic scattering from a curved interface between two homogeneous media is formulated as two integral equations relating the normal velocity and the velocity potential at the interface. The equations are so chosen as to minimize coupling. When γ, the ratio of the densities, goes to zero, the equations decouple, one becoming the equation of a soft‐boundary problem, the other of a hard‐boundary problem. For small γ, an approximate solution is constructed by perturbation methods from solutions to the related soft‐ and hard‐boundary problems.

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