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.
© 2006 Optical Society of America
Original Manuscript: June 8, 2005
Manuscript Accepted: July 22, 2005
Nicolas Déchamps, Nicole de Beaucoudrey, Christophe Bourlier, and Serge Toutain, "Fast numerical method for electromagnetic scattering by rough layered interfaces: Propagation-inside-layer expansion method," J. Opt. Soc. Am. A 23, 359-369 (2006)