Abstract
Acoustic scattering from the ocean bottom is of much interest to the underwater acoustics community. Recent results for the small slope approximation for one- and two-dimensional randomly rough pressure-release surfaces have been promising. In this paper, work on the small slope approximation is extended to acoustic scattering from a fluid–solid boundary for one-dimensional, randomly rough surfaces with a Gaussian roughness spectrum. Expressions are derived for the scattering strength using both the first- and second-order small slope approximations. Numerical results for the first-order approximation using parameters characteristic of acoustic scattering from a water–granite interface are presented. These results compare well with those obtained by Berman and Dacol [J. Acoust. Soc. Am. 84, 292–302 (1988)] using perturbation theory when it is expected to give accurate results. They contain the same interesting structural features at the critical angles for the transmitted compressional and shear waves. [Work supported by ONR.]
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