On the Transmission of Sound from a Monopole Source Through a Finite, Corrugated Boundary Between Fluid Media
PENNSYLVANIA STATE UNIV STATE COLLEGE ORDNANCE RESEARCH LAB
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The investigation was undertaken with the objective of developing techniques for solving the problem of sound transmission from a harmonic monopole source through a finite, corrugated boundary between fluid media and to corroborate these techniques by means of laboratory data obtained for the important case of air-to-water sound transmission. Using a form of the Kirchoff radiation integral, expressions were derived describing both the reflected and transmitted acoustic potentials due to the scattering of monopole sound at a corrugated boundary between fluids. For the case of sound transmission through the boundary, the integral expression was reduced to an approximate closed-form solution which is valid in the limit of geometrical optics and for extended interface geometries for which the tangent plane approximation is applicable. Empirical data was obtained using four different laboratory models of corrugated sinusoidal surface sections designed to float on the surface of an anechoic tank so as to simulate different corrugated air-water boundaries.