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Updated: May 20, 2026

Scattering And Absorption of Light in Planetary Regoliths
Published on: July 1, 2019
Extended propagation-inside-layer expansion method combined with the forward-backward method to study the scattering
Mohammad Kouali1, Gildas Kubické, Christophe Bourlier
1IETR Laboratory, Université de Nantes, L’UNAM Université 44306 Nantes Cedex 03, France. mohammad.kouali@etu.univ‑nantes.fr
Abstract:
In this Letter, a fast red rigorous numerical method, based on the method of moments, is developed to calculate the scattering from an object above a rough surface for three-dimensional problems (3D). G. Kubické has recently developed the extended propagation-inside-layer expansion (E-PILE) method to calculate the scattering from an object above a rough surface for two-dimensional problems. This method allows us to calculate separately and exactly the interactions between the object and the rough surface. The purpose of this paper is to extend the E-PILE method to a 3D problem. In addition, to invert a matrix of large size, the forward-backward (FB) method is applied to calculate the local interactions on the rough surface.
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