Abstract
This paper studies the coherent scattering from random rough layers made up of two uncorrelated random rough surfaces, by considering 2D problems. The results from a rigorous electromagnetic method called PILE (propagation-inside-layer expansion) are used as a reference. Also, two asymptotic analytical approaches are presented and compared to the numerical model for comparison. The cases of surfaces with both Gaussian and exponential correlations are studied. This approach is applied to road survey by GPR at nadir.
Highlights
Scattering by random rough surfaces has been the subject of active research from 1960s, in various domains of physics like optics, remote sensing of natural surfaces, and so on
This paper studies the coherent scattering from random rough layers made up of two uncorrelated random rough surfaces, by considering 2D problems
By comparing (12) with (4), in vacuum (n1 = 1), it can be noted that the SPM2 and scalar Kirchhoff-tangent plane approximation (SKA) models become equivalent when the Rayleigh roughness parameter Rar,1 1, which occurs for all θi if the surface root mean square (RMS) height σhA λ0/2π, with λ0 the EM wavelength in vacuum
Summary
Scattering by random rough surfaces has been the subject of active research from 1960s, in various domains of physics like optics, remote sensing of natural surfaces (sea surfaces, soils, etc.), and so on. This paper focuses on the scattering from layered media made up of one or several random rough surfaces and on the coherent scattering This can be useful for various applications: in studying indoor propagation at 60 GHz, by taking the roughness of the rendering of office walls into account [1,2,3], in optics to determine optical constants of films [4] and other applications [5,6,7,8,9], to calculate the grazing incidence forward (i.e., in the specular direction) radar propagation over sea surfaces [10, 11], and so on.
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