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

JOSA A, Vol. 30, Issue 9, pp. 1727-1737 (2013)

http://dx.doi.org/10.1364/JOSAA.30.001727

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### 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.

© 2013 Optical Society of America

**OCIS Codes**

(000.3860) General : Mathematical methods in physics

(050.1940) Diffraction and gratings : Diffraction

(260.0260) Physical optics : Physical optics

(290.5880) Scattering : Scattering, rough surfaces

**ToC Category:**

Scattering

**History**

Original Manuscript: March 29, 2013

Revised Manuscript: June 6, 2013

Manuscript Accepted: July 3, 2013

Published: August 5, 2013

**Virtual Issues**

Vol. 8, Iss. 10 *Virtual Journal for Biomedical Optics*

**Citation**

Christophe Bourlier, Nicolas Pinel, and Gildas Kubické, "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 **30**, 1727-1737 (2013)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-30-9-1727

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