A Theoretical and Experimental Investigation of the Scattering of Acoustic Waves by Randomly Rough Surfaces.
TEXAS UNIV AT AUSTIN APPLIED RESEARCH LABS
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The scattering of acoustic waves by randomly rough surfaces is studied both theoretically and experimentally. A new formulation of the scattering integrals, based on the potential method, is developed. Although the formal solution of scattering problems based on the potential method includes both the singly scattered and multiply scattered field components, only the expression for the singly scattered field is specialized to a form suitable for scattering calculations. Upon taking the ensemble average of the scattered pressure, a very general result is obtained which shows that, except for a proportionality constant, the mean scattered pressure and the probability density function of surface heights are Fourier transform pairs. The mean scattered pressure is calculated for both a Gaussian and a Laplacian probability density function.
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