Abstract
The accuracy of the first‐ and second‐order perturbation theory approximations for randomly rough, pressure‐release surfaces has been examined through comparison with exact numerical results based on solving an integral equation. A Gaussian roughness spectrum was chosen for the surfaces, and a Monte Carlo procedure was used to obtain the average bistatic scattering cross section. Results will be presented to show that the condition h/λ ≪ 1, where h is the rms waveheight and λ is the acoustic wavelength, is not sufficient to ensure the accuracy of first‐order perturbation theory. An additional constraint must also be imposed on the surface correlation length. [Work supported by ONR.]
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