Fast numerical method for electromagnetic scattering by rough layered interfaces: Propagation-inside-layer expansion method

Abstract

Electromagnetic scattering from a stack of two one-dimensional rough surfaces separating homogeneous media is modeled with a rigorous integral formulation solved by the method of moments. We present an efficient numerical method for computing the field scattered by such rough layers, in reflection as well as in transmission. We call this method propagation-inside-layer expansion (PILE) due to its straightforward physical interpretation. To our knowledge, it is the first method able to handle problems for this configuration with a huge number of unknowns. We study the convergence of this method versus a coupling condition and validate it by comparison with results from the literature.

An Investigation on Numerical Characterization of Scattering From Target in a Dielectric Rough Soil Surface

“…Déchamps et al have presented the PILE to investigate the layer rough surface scattering [28], then, the Extended PILE (EPILE) to research the scattering from a target above the rough surface was presented by Kubické et al [29], and we also have attempted to combine the EPILE with generalized FBM for targets above and on the rough surface problem [24], herein, according to these schemes [24,28,29], the inverse matrix ofZ is partitioned into four blocks as followZ…”

“…−1 ·Ā t→s (2Ns)×Nt (30) Defining the norm || · || of M c by its spectral radius [28], and if ||M c || < 1, then, from Eqs. (27) and (29), the total induced vector on the rough surface can be expressed as…”

“…In 2006, a fast numerical method, Propagation-Inside-Layer Expansion (PILE) was presented by Déchamps et al [28]. This method is demonstrated of reasonable efficiency and exactness, and it is a method able to handle problems for the configuration with a great number of unknowns.…”

“…This method is demonstrated of reasonable efficiency and exactness, and it is a method able to handle problems for the configuration with a great number of unknowns. In the beginning, the PILE was devoted to the scattering by layered rough surface [28], later, the Extended PILE (EPILE) combined with the Forward-Backward method (FBM) to study the scattering by an object above a randomly rough surface was presented by Kubické et al [29], which can be abbreviated as the EPILE + FBM. In this paper, we attempt to use these schemes for studying the scattering by a target below a given dielectric rough soil surface, for this specific type of rough surface, more parameters, such as the moisture content of the soil, the temperature of the soil, the volumetric sand content of the soil, and the volumetric clay content of the soil, are included, which should be un-owned by the classical Gaussian spectrum rough surface, etc., then, for this specific composite configuration, efforts are made in modelling, formulating, derivating, numerically investigating in the efficiency, accuracy, and influence of the variational parameters and their corresponding conclusions.…”

The E-Pile+smcg for Scattering From an Object Below 2d Soil Rough Surface

“…Recently, Dechamps et al developed a fast numerical method, PILE (Propagation-Inside-Layer Expansion) [15], devoted to the scattering by a stack of two one dimensional (1D) interfaces separating homogeneous media. Bourlier et al have applied the PILE method for an object located below a 1D rough surface [16].…”