Generalized Kirchhoff approach to the ocean surface-scatter communication channel. Part II: Second-order functions

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Abstract
Three second-order functions which characterize the ocean surface-scatter communication channel are derived from the transfer function of the ocean surface. These second-order functions include the two-frequency correlation function or the two-frequency mutual coherence function, the scattering function, and the power spectral density function of the scattered acoustic pressure field. These functions are shown to be dependent upon the general form of the directional wavenumber spectrum. Both the slightly rough and very rough surface cases are included. The interrelationships which exist amongst these functions are demonstrated. As an example, the power spectral density function is computed for the very rough surface case using the Neumann–Pierson directional wavenumber spectrum.

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