Scattering from very rough layers under the geometric optics approximation: further investigation

Abstract

Scattering from very rough homogeneous layers is studied in the high-frequency limit (under the geometric optics approximation) by taking the shadowing effect into account. To do so, the iterated Kirchhoff approximation, recently developed by Pinel et al. [Waves Random Complex Media17, 283 (2007)] and reduced to the geometric optics approximation, is used and investigated in more detail. The contributions from the higher orders of scattering inside the rough layer are calculated under the iterated Kirchhoff approximation. The method can be applied to rough layers of either very rough or perfectly flat lower interfaces, separating either lossless or lossy media. The results are compared with the PILE (propagation-inside-layer expansion) method, recently developed by Déchamps et al. [J. Opt. Soc. Am. A23, 359 (2006)], and accelerated by the forward-backward method with spectral acceleration. They highlight that there is very good agreement between the developed method and the reference numerical method for all scattering orders and that the method can be applied to root-mean-square (RMS) heights at least down to 0.25lambda.

Modelling Scattering of Electromagnetic Waves in Layered Media: An Up-to-Date Perspective

“…International Journal of Antennas and Propagation The extension of the GO to a layer of two random rough interfaces has been first led for 2D problems [35,36]. By doing so, the NRCS associated with a given order of reflection from the layer (see Figure 2) has the great advantage of being proportional to the product of elementary NRCS corresponding to each scattering in reflection or transmission at a given interface.…”

“…By doing so, the NRCS associated with a given order of reflection from the layer (see Figure 2) has the great advantage of being proportional to the product of elementary NRCS corresponding to each scattering in reflection or transmission at a given interface. It may be written in the following form for the second-order NRCS (associated with the field 2 in Figure 2) [35,36]:…”

“…Then, it has been shown that this approach can be generalized to any order n of reflection from the layer (associated with the field in Figure 2) as [36] …”

Scattering Mechanisms for the “Ear” Feature of Lop Nur Lake Basin

“…In recent years, based on a scattering modeling of one interface, a two-layer structure composed of two homogeneous media with two interfaces has become a hot topic. Pinel proposed a two-layer scattering model under the geometric optics approximation which describes scattering mechanisms in detail and simulates scattering behavior for some geoscience applications [20,21]. In this research, a scattering structure for Lop Nur has been determined based on field investigations and analysis of physical and chemical properties.…”

Numerical Simulations Wave Scattering From Two-Layered Rough Interface

“…Electromagnetic models [7] for rough surfaces scattering have been developed for several years; however, these models generally consider only a single layer [8,9], that is to say one rough interface. Their extension to multilayer separated by rough interfaces have been studied analytically [10,11]; In this paper, we are interested in a numerical approach, using the hybrid method combining Method of Moments (MOM) with the first-order Kirchhoff approximation (KA) where the multiple scattering phenomenon is neglected. In this work, the considered multilayer consists of two one-dimensional Gaussian rough interfaces.…”