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.
© 2012 Optical Society of America
Original Manuscript: February 3, 2012
Revised Manuscript: April 11, 2012
Manuscript Accepted: May 4, 2012
Published: July 13, 2012
Mohammad Kouali, Gildas Kubické, and Christophe Bourlier, "Extended propagation-inside-layer expansion method combined with the forward-backward method to study the scattering from an object above a rough surface," Opt. Lett. 37, 2985-2987 (2012)