Validity of first-order perturbation theory for scattering from one-dimensional and two-dimensional rough surfaces described by power-law spectra

• Published in: The Journal of the Acoustical Society of America 2012-09, Vol.132 (3_Supplement), p.2093-2093
• Main Authors: Tran, Bryant M., Joshi, Sumedh, Isakson, Marcia J.
• Format: Article
• Language: English
• ISSN: 0001-4966; 1520-8524
• DOI: 10.1121/1.4755738

First-order perturbation theory is a widely used model for estimating the backscatter of acoustic waves incident on a rough surface. The validity of perturbation theory for one-dimensional surfaces described by Gaussian spectra is well established. However, little has been done to confirm its range of validity when expanded to two-dimensional surfaces. Furthermore, the range of validity for surfaces described by power-law spectra has not been fully explored. This work seeks to benchmark first-order perturbation theory against a finite element method solution for scattering from one-dimensional and two-dimensional rough pressure-release surfaces described by power-law spectra. The relationship between ranges of validity of 1D and 2D surfaces will be considered. [Work sponsored by the Office of Naval Research, Ocean Acoustics.]