Abstract
A model for reverberation is described which is based on a solution for scattering of a low-frequency acoustic plane wave by a time-varying trochoidal surface. It is shown that under certain approximations the Helmholtz integral for a time-varying pressure release boundary leads to the characterization of the surface as a continuum of uniform isotropic reradiators undergoing circular harmonic motion about fixed points on the mean-free surface. A farfield solution is obtained for the scattered field for arbitrary incidence and observation directions. The solution is seen to be dependent on the sea height, wave speed and direction, and the reradiating aperture size. The scattered field spectrum is, in general, asymmetric and consists of spectral lines positioned at multiples of the surface-wave orbital frequency. The model is employed to predict reverberation due to single-path propagation for a historic source-receiver configuration. These predictions are compared with spectra obtained from experimental data.
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