A comparison of perturbation theory and the small-slope approximation for acoustic scattering from a rough interface for a Biot medium
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Engineering Technologies, Safety, and Construction
In this paper, the lowest order small-slope approximation (SSA) scattering cross section for Biot theory is derived. Numerical results are obtained for both backscattering and bistatic scattering using a modified power law spectrum, and these results are compared with those of lowest order perturbation theory (PT). Frequencies ranging from 100 Hz to 3 kHz are used for surfaces with RMS heights h of 0.1 and 1 m and a correlation length l of 10 m. The angle of incidence for the bistatic results is limited to 45/spl deg/. It is found that for the smaller surface height roughness (h = 0.1 m), the SSA and PT give the same results for frequencies up to almost 1 kHz for both backscattering and bistatic scattering. For h = 1 m, the SSA and PT backscatter results are in good agreement at all frequencies for incident grazing angles up to approximately 45/spl deg/. For the bistatic results, the SSA and PT results agree only at low grazing angles of scatter. In the specular region, the results differ significantly.
Taiqian Yang, Broschat, S. L., & Galea, C. (2002). A comparison of perturbation theory and the small-slope approximation for acoustic scattering from a rough interface for a Biot medium. IEEE Journal of Oceanic Engineering, 27(3), 403–412. https://doi.org/10.1109/joe.2002.1040927
IEEE Journal of Oceanic Engineering
© 2002 IEEE