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Bourlier C, Pinel N, Kubické G. Propagation-inside-layer-expansion method combined with physical optics for scattering by coated cylinders, a rough layer, and an object below a rough surface. J Opt Soc Am A Opt Image Sci Vis. 2013;30(9):1727-37doi: 10.1364/JOSAA.30.001727.
Bourlier, C., Pinel, N., & Kubické, G. (2013). Propagation-inside-layer-expansion method combined with physical optics for scattering by coated cylinders, a rough layer, and an object below a rough surface. Journal of the Optical Society of America. A, Optics, image science, and vision, 30(9), 1727-37. https://doi.org/10.1364/JOSAA.30.001727
Bourlier, Christophe, et al. "Propagation-inside-layer-expansion method combined with physical optics for scattering by coated cylinders, a rough layer, and an object below a rough surface." Journal of the Optical Society of America. A, Optics, image science, and vision vol. 30,9 (2013): 1727-37. doi: https://doi.org/10.1364/JOSAA.30.001727
Bourlier C, Pinel N, Kubické G. Propagation-inside-layer-expansion method combined with physical optics for scattering by coated cylinders, a rough layer, and an object below a rough surface. J Opt Soc Am A Opt Image Sci Vis. 2013 Sep 01;30(9):1727-37. doi: 10.1364/JOSAA.30.001727. PMID: 24323253.
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J Opt Soc Am A Opt Image Sci Vis. 2013 Sep 01;30(9):1727-37. doi: 10.1364/JOSAA.30.001727.

Propagation-inside-layer-expansion method combined with physical optics for scattering by coated cylinders, a rough layer, and an object below a rough surface.

Journal of the Optical Society of America. A, Optics, image science, and vision

Christophe Bourlier, Nicolas Pinel, Gildas Kubické

PMID: 24323253 DOI: 10.1364/JOSAA.30.001727

Abstract

In this article, the fields scattered by coated cylinders, a rough layer, and an object below a rough surface are computed by the efficient propagation-inside-layer-expansion (PILE) method combined with the physical optics (PO) approximation to accelerate the calculation of the local interactions on the non-illuminated scatterer, which is assumed to be perfectly conducting. The PILE method is based on the method of moments, and the impedance matrix of the two scatterers is then inverted by blocks from a Taylor series expansion of the inverse of the Schur complement. Its main interest is that it is rigorous, with a simple formulation and a straightforward physical interpretation. In addition, one of the advantages of PILE is to be able to hybridize methods (rigorous or asymptotic) valid for a single scatterer. Then, in high frequencies, the hybridization with PO allows us to significantly reduce the complexity in comparison to a direct lower-upper inversion of the impedance matrix of the two scatterers without loss in accuracy.

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