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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

  • Vol. 15, Iss. 2 — Feb. 1, 1998
  • pp: 528–532

Mean-field theory of light scattering by one-dimensional rough surfaces

A. Sentenac and J.-J. Greffet  »View Author Affiliations


JOSA A, Vol. 15, Issue 2, pp. 528-532 (1998)
http://dx.doi.org/10.1364/JOSAA.15.000528


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Abstract

We present a new approximate theory of scattering by randomly rough surfaces. The selvedge region is considered to be a layer with fluctuating index. A mean-field theory is used to derive the diffuse intensity. Comparisons with Monte Carlo simulations based on surface integral equations show that the technique can be used for rms heights as large as λ/2 and for any type of slope for a dielectric constant of 2.25. However, the accuracy decreases with increasing dielectric constant.

© 1998 Optical Society of America

OCIS Codes
(030.5770) Coherence and statistical optics : Roughness
(120.5700) Instrumentation, measurement, and metrology : Reflection
(290.5880) Scattering : Scattering, rough surfaces

History
Original Manuscript: May 19, 1997
Manuscript Accepted: August 19, 1997
Published: February 1, 1998

Citation
A. Sentenac and J.-J. Greffet, "Mean-field theory of light scattering by one-dimensional rough surfaces," J. Opt. Soc. Am. A 15, 528-532 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-2-528


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References

  1. A. G. Voronovich, Wave Scattering from Rough Surfaces (Springer-Verlag, Berlin, 1994).
  2. M. Nieto–Vesperinas, Scattering and Diffraction in Physical Optics (Wiley, New York, 1991).
  3. J. A. Ogilvy, Theory of Wave Scattering from Random Rough Surfaces (Hilger, London, 1991).
  4. S. Dietrich, A. Haase, “Scattering of x-rays and neutrons at interfaces,” Phys. Rep. 260, 1–138 (1995). [CrossRef]
  5. J.-J. Greffet, “Backscattering of s-polarized light from a cloud of small particles above a dielectric substrate,” Waves Random Media 1, S65–S74 (1991). [CrossRef]
  6. J. E. Sipe, “New Green function formalism for surface optics,” J. Opt. Soc. Am. B 4, 481–489 (1987). [CrossRef]
  7. A. A. Maradudin, T. Michel, A. R. McGurn, E. R. Méndez, “Enhanced backscattering of light from a random grating,” Ann. Phys. (N.Y.) 203, 255–307 (1990). [CrossRef]
  8. A. Sentenac, G. Toso, M. Saillard, “Study of coherent and incoherent scattering from one-dimensional rough surfaces with a mean-field theory,” J. Opt. Soc. Am. A (to be published).

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