Abstract

In recent work the second, third, and fourth spatial moments for exponentially distributed roughness with either Gaussian or von Karman spatial spectra have been presented by the author. In this talk results for the second, third, and fourth moments of reverberation pressure for perturbation theory scattering from surfaces with von Karman spectra are obtained using numerical quadrature. Results are compared to closed form expressions for the second and fourth moments obtained for Gaussian correlation functions. Methods to extend these results to the class of chi‐square distributed roughness heights of arbitrary order, which encompasses both exponential and Gaussian height distributions, are also presented.

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