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Applied Optics

Applied Optics


  • Vol. 42, Iss. 13 — May. 1, 2003
  • pp: 2398–2406

Scattering from infinitely sloped surfaces by use of the Kirchhoff approximation

Neil C. Bruce  »View Author Affiliations

Applied Optics, Vol. 42, Issue 13, pp. 2398-2406 (2003)

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A simple reformulation of the double-scatter Kirchhoff approximation is presented to extend the use of this calculation method to infinitely sloped surfaces. Examples are presented for square grooves and lines on perfectly conducting surfaces. The results presented show the accuracy of the method and the errors produced by not including higher-order scattering in the calculations.

© 2003 Optical Society of America

OCIS Codes
(290.4210) Scattering : Multiple scattering
(290.5880) Scattering : Scattering, rough surfaces

Original Manuscript: September 27, 2002
Revised Manuscript: January 8, 2003
Published: May 1, 2003

Neil C. Bruce, "Scattering from infinitely sloped surfaces by use of the Kirchhoff approximation," Appl. Opt. 42, 2398-2406 (2003)

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  1. A. Ishimaru, J. S. Chen, “Scattering from very rough surfaces based on the modified second-order Kirchhoff approximation with angular and propagation shadowing,” J. Acoust. Soc. Am. 88, 1877–1883 (1990). [CrossRef]
  2. A. Ishimaru, J. S. Chen, “Scattering from very rough metallic and dielectric surfaces: a theory based on the modified Kirchhoff approach,” Waves Random Media 1, 21–34 (1991). [CrossRef]
  3. E. I. Thorsos, “The validity of the Kirchhoff approximation for rough surface scattering using a Gaussian roughness spectrum,” J. Acoust. Soc. Am. 83, 78–92 (1988). [CrossRef]
  4. J. A. Ogilvy, Theory of Wave Scattering from Rough Surfaces (Hilger, London, 1991).
  5. D. L. Jaggard, X. Sun, “Scattering from fractally corrugated surfaces,” J. Opt. Soc. Am. A 7, 1131–1139 (1990). [CrossRef]
  6. N. C. Bruce, J. C. Dainty, “Multiple scattering from rough dielectric and metal surfaces using the Kirchhoff approximation,” J. Mod. Opt. 38, 1471–1481 (1991). [CrossRef]
  7. N. C. Bruce, A. J. Sant, “The Mueller matrix for rough surface scattering using the Kirchhoff approximation,” Opt. Commun. 88, 471–484 (1992). [CrossRef]
  8. C. J. R. Sheppard, “Scattering by fractal surfaces with an outer scale,” Opt. Commun. 122, 178–188 (1996). [CrossRef]
  9. A. A. Maradudin, T. Michel, A. R. McGurn, E. R. Mendez, “Enhanced backscattering of light from a random grating,” Ann. Phys. 203, 255–307 (1990). [CrossRef]
  10. A. Mendoza-Suárez, E. R. Méndez, “Light scattering by a reentrant fractal surface,” Appl. Opt. 36, 3521–3531 (1997). [CrossRef] [PubMed]

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