The plane wave scattering matrix theory is applied to formulate a T-matrix which characterizes the acoustic response of an infinite solid plate bounded by semi-infinite vacuum and fluid half spaces on either side. Individual T-matrices for the periodically rough vacuum/solid and solid/fluid interfaces are used in this derivation. Using the computed results, the anomalies in the scattering response of the rough solid plate are explained in terms of the Rayleigh, the Scholte, and the Lamb waves.
The Acoustic Response of a Periodically Rough Elastic Plate (Ice) in Contact With Water
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Lakhtakia, A., Varadan, V. K., and Varadan, V. V. (March 1, 1985). "The Acoustic Response of a Periodically Rough Elastic Plate (Ice) in Contact With Water." ASME. J. Appl. Mech. March 1985; 52(1): 144–148. https://doi.org/10.1115/1.3168985
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