Abstract

We recently investigated the behavior of acoustic wave reflection in a medium with a single rough interface with acoustic speed V1 (V3) and density ρ13) above (below) the interface (Lerche and Hill, 1985). We used mean-field techniques (Howe, 1971; Karal and Keller, 1964; Frisch, 1968) to find a closed-form expression for the mean reflected field, and in particular we examined the case where the roughness is on a much smaller scale than the wavelength of the incident energy. We derived a closed-form expression which is accurate to second order in roughness height.

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