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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 25, Iss. 4 — Apr. 1, 2008
  • pp: 891–902

Fast method to compute scattering by a buried object under a randomly rough surface: PILE combined with FB-SA

Christophe Bourlier, Gildas Kubické, and Nicolas Déchamps  »View Author Affiliations


JOSA A, Vol. 25, Issue 4, pp. 891-902 (2008)
http://dx.doi.org/10.1364/JOSAA.25.000891


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Abstract

A fast, exact numerical method based on the method of moments (MM) is developed to calculate the scattering from an object below a randomly rough surface. Déchamps et al. [ J. Opt. Soc. Am. A 23, 359 (2006) ] have recently developed the PILE (propagation-inside-layer expansion) method for a stack of two one-dimensional rough interfaces separating homogeneous media. From the inversion of the impedance matrix by block (in which two impedance matrices of each interface and two coupling matrices are involved), this method allows one to calculate separately and exactly the multiple-scattering contributions inside the layer in which the inverses of the impedance matrices of each interface are involved. Our purpose here is to apply this method for an object below a rough surface. In addition, to invert a matrix of large size, the forward-backward spectral acceleration (FB-SA) approach of complexity O ( N ) (N is the number of unknowns on the interface) proposed by Chou and Johnson [ Radio Sci. 33, 1277 (1998) ] is applied. The new method, PILE combined with FB-SA, is tested on perfectly conducting circular and elliptic cylinders located below a dielectric rough interface obeying a Gaussian process with Gaussian and exponential height autocorrelation functions.

© 2008 Optical Society of America

OCIS Codes
(280.0280) Remote sensing and sensors : Remote sensing and sensors
(290.4210) Scattering : Multiple scattering
(290.5880) Scattering : Scattering, rough surfaces

ToC Category:
Scattering

History
Original Manuscript: October 25, 2007
Manuscript Accepted: January 24, 2008
Published: March 19, 2008

Citation
Christophe Bourlier, Gildas Kubické, and Nicolas Déchamps, "Fast method to compute scattering by a buried object under a randomly rough surface: PILE combined with FB-SA," J. Opt. Soc. Am. A 25, 891-902 (2008)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-25-4-891


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