Non-Gaussian statistical model of the ocean surface for wave-scattering theories

Electromagnetic Scattering from a Circular Target above or below Rough Surface

“…The commonly used surface height probability distribution function is the Gaussian distribution. The non-Gaussian surface height profile has been studied and generated using different approaches [15,16], and finds certain applications in practical situation. Transformation methods can be used to generate the non-Gaussian random surface [17].…”

Statistical Non-Gaussian Model of Sea Surface with Anisotropic Spectrum for Wave Scattering Theory. Part II

“…In our previous paper [7] we used the generalized experimental spectrum of surface presented in [8]. But this spectrum does not agree with the PDF of slopes based on [2] data.…”

Statistical Non-Gaussian Model of Sea Surface with Anisotropic Spectrum for Wave Scattering Theory. Part I

“…To approach an answer to this question we developed in [13] a statistical model of the surface that possesses the following properties: (1) It has the given PDF of elevations in any fixed point of the surface. (2) It has the given anisotropic spectrum.…”

“…PDF. The model developed in [13] is only one of many possibilities. Some related problems were considered earlier in [14][15][16][17].…”

“…Note that all of the values ∆ 1 , (27) to (29) in terms of conditional mean values (13) to (17), we obtain:…”