OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 15, Iss. 5 — May. 1, 1998
  • pp: 1182–1191

Numerical study of scattering from rough inhomogeneous films

H. Giovannini, M. Saillard, and A. Sentenac  »View Author Affiliations

JOSA A, Vol. 15, Issue 5, pp. 1182-1191 (1998)

View Full Text Article

Enhanced HTML    Acrobat PDF (304 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We adapt the differential method to the study of scattering from randomly rough inhomogeneous films, and we extend the application domain of the surface-integral method to rough surfaces with many embedded scatterers. These methods are compared in the case of geometries in which both volume and surface scattering occur. A good agreement is obtained, and the advantages and drawbacks of each technique are pointed out. The angular scattering from rough inhomogeneous structures corresponding to models of snowcover in the radio-frequency domain or paints in the optical domain is shown.

© 1998 Optical Society of America

OCIS Codes
(240.6700) Optics at surfaces : Surfaces
(290.0290) Scattering : Scattering
(290.5880) Scattering : Scattering, rough surfaces

Original Manuscript: July 24, 1997
Revised Manuscript: November 24, 1997
Manuscript Accepted: December 17, 1997
Published: May 1, 1998

H. Giovannini, M. Saillard, and A. Sentenac, "Numerical study of scattering from rough inhomogeneous films," J. Opt. Soc. Am. A 15, 1182-1191 (1998)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. H. Kaplan, “Black coatings are critical in optical design,” Phot. Spec. 31, 48–50 (1997).
  2. H. Giovannini, C. Amra, “Scattering-reduction effect with overcoated rough surfaces: theory and experiment,” Appl. Opt. 36, 5574–5579 (1997). [CrossRef] [PubMed]
  3. J. M. Elson, “Theory of light scattering from a rough surface with an inhomogeneous dielectric permittivity,” Phys. Rev. B 30, 5460–5480 (1984). [CrossRef]
  4. A. Fung, “First-order radiative transfer solution—active sensing,” in Microwave Scattering and Emission Models and Their Applications, F. T. Ulaby, ed. (Artech House, Boston, 1994), Chap. 2, pp. 49–122.
  5. C. Amra, “First-order vector theory of bulk scattering in optical multilayers,” J. Opt. Soc. Am. A 10, 365–374 (1993). [CrossRef]
  6. S. Dietrich, A. Haase, “Scattering of x-rays and neutrons at interfaces,” Phys. Rep. 260, 1–138 (1995). [CrossRef]
  7. K. Sarabandi, Y. Oh, F. T. Ulaby, “A numerical simulation of scattering from one-dimensional inhomogeneous dielectric random surfaces,” IEEE Trans. Geosci. Remote Sens. 34, 425–432 (1996). [CrossRef]
  8. L. Rakotoarivony, O. Taconet, D. Vidal-Madjar, P. Bellemain, M. Benallegne, “Radar backscattering over agricultural bare soils,” J. Electron. Waves Appl. 10, 187–210 (1996). [CrossRef]
  9. P. Vincent, “Differential methods,” in Progress in Optics XXII, E. Wolf, ed. (Springer-Verlag, Berlin, 1980), pp. 101–121.
  10. L. Li, “Formulation and comparison of two recursive matrix algorithms for modeling layered diffraction gratings,” J. Opt. Soc. Am. A 13, 1024–1035 (1996). [CrossRef]
  11. F. Montiel, M. Nevière, “Differential theory of gratings: extension to deep gratings of arbitrary profile and permittivity through the R-matrix algorithm,” J. Opt. Soc. Am. A 11, 3241–3250 (1994). [CrossRef]
  12. M. Saillard, G. Toso, “Electromagnetic scattering from bounded of infinite subsurface bodies,” Radio Sci. 32, 1347–1359 (1997). [CrossRef]
  13. K. Pak, L. Tsang, L. Li, C. H. Chan, “Combined random rough surface and volume scattering based on Monte Carlo simulations of solutions of Maxwell’s equations,” Radio Sci. 28, 331–338 (1993). [CrossRef]
  14. J. P. Hugonin, R. Petit, “A numerical study of the problem of diffraction at a non-periodic obstacle,” Opt. Commun. 20, 360–363 (1977). [CrossRef]
  15. M. Saillard, D. Maystre, “Scattering from metallic and dielectric rough surfaces,” J. Opt. Soc. Am. A 7, 982–990 (1990). [CrossRef]
  16. A. A. Maradudin, T. Michel, A. R. Mc Gurn, E. R. Méndez, “Enhanced backscattering of light from a random grating,” Ann. Phys. (New York) 203, 255–276 (1990). [CrossRef]
  17. A. Madrazo, M. Nieto-Vesperinas, “Scattering of light and other electromagnetic waves from a body buried beneath a highly rough random surface,” J. Opt. Soc. Am. A 14, 1–8 (1997). [CrossRef]
  18. K. O’Neill, R. F. Lussky, K. D. Paulsen, “Scattering from a metallic object embedded near the randomly rough surface of a lossy dielectric,” IEEE Trans. Geosci. Remote Sens. 34, 367–376 (1996). [CrossRef]
  19. A. Fung, “Scattering and emission models for snow and sea ice,” in Microwave Scattering and Emission Models and Their Applications, F. T. Ulaby, ed. (Artech House, Boston, 1994), Chap. 9, p. 382.
  20. C. Mätzler, “Applications of the interaction of microwaves with the natural snowcover,” Remote Sens. Rev. 2, 259–392 (1987). [CrossRef]
  21. M. E. Tiuri, A. H. Sihvola, E. G. Nyfors, M. T. Hallikainen, “The complex dielectric constant of snow at microwave frequencies,” IEEE J. Oceanic Eng. OE-9, 377–382 (1994).
  22. S. Surdyk, M. Fily, “Results of a stratified snow emissivity model based on the wave approach: application to the Antarctic sheet,” J. Geophys. Res. 100, 8837–8848 (1995). [CrossRef]
  23. K. Sarabandi, T. Chiu, “Electromagnetic scattering from slightly rough surfaces with inhomogeneous dielectric profiles,” IEEE Trans. Antennas Propag. 45, 1419–1430 (1997). [CrossRef]
  24. H. Giovannini, C. Amra, “Enhanced absorption in very rough overcoated black surfaces,” International Symposium on Optical Science, Engineering, and Instrumentation, San Diego, Proc. SPIE3133, (1997), pp. 110–114. [CrossRef]
  25. M. Saillard, D. Maystre, “Scattering from random rough surfaces: a beam simulation method,” J. Opt. (Paris) 19, 173–176 (1988). [CrossRef]
  26. P. Vincent, “A finite-difference method for dielectric and conducting crossed gratings,” Opt. Commun. 26, 293–295 (1978). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited