Abstract

A plane wave is incident on a rigid body which is partially or totally surrounded by a thin liquid coating whose (possibly variable) density and sound velocity differ from those of the ambient medium. By assuming the incident wavelength to be large compared with coating thickness, approximate expressions for the scattered field are obtained in integral form. By further assuming incident wavelength to be small compared with typical dimensions of the rigid body, the integrals are evaluated asymptotically and the scattered field is expressed in terms of contributions from certain scattering centers of the coating, viz., the specular point and points at which incident rays are perpendicular to the edge of the coating. As an example the method is applied to the problem of a partially coated sphere.

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