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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)

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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

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

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  1. H. Kaplan, “Black coatings are critical in optical design,” Phot. Spec. 31, 48–50 (1997).
  2. H. Giovannini and C. Amra, “Scattering-reduction effect with overcoated rough surfaces: theory and experiment,” Appl. Opt. 36, 5574–5579 (1997).
  3. J. M. Elson, “Theory of light scattering from a rough surface with an inhomogeneous dielectric permittivity,” Phys. Rev. B 30, 5460–5480 (1984).
  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).
  6. S. Dietrich and A. Haase, “Scattering of x-rays and neutrons at interfaces,” Phys. Rep. 260, 1–138 (1995).
  7. K. Sarabandi, Y. Oh, and F. T. Ulaby, “A numerical simulation of scattering from one-dimensional inhomogeneous dielectric random surfaces,” IEEE Trans. Geosci. Remote Sens. 34, 425–432 (1996).
  8. L. Rakotoarivony, O. Taconet, D. Vidal-Madjar, P. Bellemain, and M. Benallegne, “Radar backscattering over agricultural bare soils,” J. Electron. Waves Appl. 10, 187–210 (1996).
  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).
  11. F. Montiel and 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).
  12. M. Saillard and G. Toso, “Electromagnetic scattering from bounded of infinite subsurface bodies,” Radio Sci. 32, 1347–1359 (1997).
  13. K. Pak, L. Tsang, L. Li, and 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).
  14. J. P. Hugonin and R. Petit, “A numerical study of the problem of diffraction at a non-periodic obstacle,” Opt. Commun. 20, 360–363 (1977).
  15. M. Saillard and D. Maystre, “Scattering from metallic and dielectric rough surfaces,” J. Opt. Soc. Am. A 7, 982–990 (1990).
  16. A. A. Maradudin, T. Michel, A. R. Mc Gurn, and E. R. Méndez, “Enhanced backscattering of light from a random grating,” Ann. Phys. (New York) 203, 255–276 (1990).
  17. A. Madrazo and 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).
  18. K. O’Neill, R. F. Lussky, Jr., and 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).
  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).
  21. M. E. Tiuri, A. H. Sihvola, E. G. Nyfors, and M. T. Hallikainen, “The complex dielectric constant of snow at microwave frequencies,” IEEE J. Oceanic Eng. OE-9, 377–382 (1994).
  22. S. Surdyk and 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).
  23. K. Sarabandi and T. Chiu, “Electromagnetic scattering from slightly rough surfaces with inhomogeneous dielectric profiles,” IEEE Trans. Antennas Propag. 45, 1419–1430 (1997).
  24. H. Giovannini and C. Amra, “Enhanced absorption in very rough overcoated black surfaces,” International Symposium on Optical Science, Engineering, and Instrumentation, San Diego, Proc. SPIE 3133, (1997), pp. 110–114.
  25. M. Saillard and D. Maystre, “Scattering from random rough surfaces: a beam simulation method,” J. Opt. (Paris) 19, 173–176 (1988).
  26. P. Vincent, “A finite-difference method for dielectric and conducting crossed gratings,” Opt. Commun. 26, 293–295 (1978).

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