OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 37, Iss. 18 — Jun. 20, 1998
  • pp: 4017–4026

Anisotropic scattering of light in random media: incoherent backscattered spotlight

Patrick Snabre and Abdellah Arhaliass  »View Author Affiliations

Applied Optics, Vol. 37, Issue 18, pp. 4017-4026 (1998)

View Full Text Article

Enhanced HTML    Acrobat PDF (626 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We discuss the anisotropic scattering of unpolarized light in optically dense random media and the flux analysis of an incoherent backscattered spotlight. We present a classic statistical approach based on the photon-diffusion approximation and Monte Carlo simulations to describe the anisotropic propagation of ballistic and long-path photons in a semi-infinite random medium with internal reflections. An imagery technique with high gray-level resolution is used to measure the surface flux density in the incoherent backscattered spotlight. We investigated light scattering from homogeneous suspensions of nonspherical alumina particles in water. We analyzed the particle volume fraction and the particle-size dependence of the surface flux density to determine the transport mean free path and the optical properties of scatterers from scaling laws that account for short-path photons and internal reflections.

© 1998 Optical Society of America

OCIS Codes
(080.2710) Geometric optics : Inhomogeneous optical media
(120.3930) Instrumentation, measurement, and metrology : Metrological instrumentation
(120.5820) Instrumentation, measurement, and metrology : Scattering measurements
(290.0290) Scattering : Scattering
(290.1350) Scattering : Backscattering
(290.4210) Scattering : Multiple scattering

Original Manuscript: July 25, 1997
Revised Manuscript: February 12, 1998
Published: June 20, 1998

Patrick Snabre and Abdellah Arhaliass, "Anisotropic scattering of light in random media: incoherent backscattered spotlight," Appl. Opt. 37, 4017-4026 (1998)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. E. U. Hartge, D. Rensner, J. Werther, “Measuring techniques for gas/solid fluidized bed reactors. Solids concentration and velocity patterns in circulating fluidized beds,” J. Chem. Eng. Technol. 61, 1781–1789 (1989).
  2. L. Rizzuti, P. L. Yue, “The measurement of light transmission through an irradiated fluidized bed,” Chem. Eng. Sci. 38, 1241–1248 (1983). [CrossRef]
  3. A. Cutolo, I. Rendina, U. Arena, A. Marzocchella, L. Massimilla, “Optoelectronic technique for the characterization of high concentration gas–solid suspension,” Appl. Opt. 29, 1317–1322 (1990). [CrossRef] [PubMed]
  4. H. Hamazaki, K. Tojo, K. Miyanami, “Measurement of local solids concentration in a suspension by an optical method,” Powder Technol. 70, 93–96 (1992). [CrossRef]
  5. D. J. Lisher, M. Y. Louge, “Optical fiber measurements of particle concentration in dense suspensions: calibration and simulation,” Appl. Opt. 31, 5106–5113 (1992). [CrossRef]
  6. H. C. van de Hulst, Multiple Light Scattering (Academic, New York, 1980), Vols. 1 and 2.
  7. A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, New York, 1978), pp. 175–190. [CrossRef]
  8. P. E. Wolf, G. Maret, E. Akkermans, R. Maynard, “Optical coherent backscattering by random media: an experimental study,” J. Phys. (France) 49, 63–75 (1988). [CrossRef]
  9. G. Maret, P. E. Wolf, “Static and dynamic multiple scattering of light,” Physica A 157, 293–300 (1989). [CrossRef]
  10. D. J. Pine, D. A. Weitz, G. Maret, P. E. Wolf, E. Herbolzheimer, P. M. Chaikin, Scattering and Localization of Classical Waves in Random Media, Ping Sheng, ed. (World Scientific, Singapore, 1989), pp. 312–372.
  11. G. Maret, P. E. Wolf, “Multiple light scattering from disordered media. The effect of Brownian motion of scatterers,” Z. Phys. B 65, 409–413 (1987). [CrossRef]
  12. D. J. Durian, D. A. Weitz, D. J. Pine, “Multiple light scattering probes of foam structure and dynamics,” Science 252, 686–688 (1991). [CrossRef] [PubMed]
  13. P. N. Den Outer, Th. M. Nieuwenhuizen, A. Lagendijk, “Location of objects in multiple scattering media,” J. Opt. Soc. Am. A 10, 1209–1218 (1993). [CrossRef]
  14. K. M. Yoo, G. C. Tang, R. R. Alfano, “Coherent backscattering of light from biological tissues,” Appl. Opt. 29, 3237–3239 (1990). [CrossRef] [PubMed]
  15. A. H. Gandjbakhche, P. Mills, P. Snabre, “Light scattering technique for the study of orientation and deformation of red blood cells in a concentrated suspension,” Appl. Opt. 33, 1070–1078 (1994). [CrossRef] [PubMed]
  16. A. Lagendijk, R. Vreeker, P. de Vries, “Influence of internal reflections on diffusive transport in strongly scattering media,” Phys. Lett. A 136, 81–88 (1989). [CrossRef]
  17. I. Freund, “Surface reflections and boundary conditions for diffusive photon transport,” Phys. Rev. A 45, 8854–8858 (1992). [CrossRef] [PubMed]
  18. M. Ospeck, S. Fraden, “Influence of reflecting boundaries and finite interfacial thickness on the coherent backscattering cone,” Phys. Rev. E 49, 4578–4589 (1994). [CrossRef]
  19. J. X. Zhu, D. J. Pine, D. A. Weitz, “Internal reflection of diffusive light in random media,” Phys. Rev. A 44, 3948–3959 (1991). [CrossRef] [PubMed]
  20. I. Freund, “Surface reflections and multiple scattering in one, two, and three dimensions,” J. Opt. Soc. Am. A 11, 3274–3283 (1994). [CrossRef]
  21. H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1981).
  22. C. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).
  23. P. Snabre, “Agrégation des globules rouges en présence de dextrane. Rhéologie des suspensions concentrées de particules déformables,” state doctorate dissertation (University Paris VII, Paris, 1988).
  24. A. Arhaliass, “Diffusion multiple de la lumière par les suspensions. Analyse par imagerie de la tache de rétrodiffusion,” doctorate dissertation (Institut National Polytechnique de Toulouse, Toulouse, France, 1994).
  25. P. G. de Gennes, Scaling Concepts in Polymer Physics, 2nd ed. (Cornell U. Press, Ithaca, N.Y., 1987).
  26. P. Snabre, “Multiple light scattering in random systems. Spatial distribution of the diffuse light intensity,” submitted to Eur. Phys. J.
  27. I. H. Malitson, “Refraction and dispersion of synthetic sapphire,” J. Opt. Soc. Am. 52, 1377–1379 (1962). [CrossRef]
  28. B. L. Drolen, C. L. Tien, “Independent and dependent scattering in packed sphere systems,” J. Thermophys. 1, 63–68 (1987). [CrossRef]
  29. U. Riebel, U. Krauter, “Extinction of radiations in sterically interacting systems of monodisperse particles,” Part. Part. Syst. Charact. 11, 212–221 (1994). [CrossRef]
  30. V. Twersky, “Propagation in pair-correlated distributions of small spaced lossy scatterers,” J. Opt. Soc. Am. 69, 1567–1572 (1979). [CrossRef]
  31. A. Ishimaru, Y. Kuga, “Attenuation constant of a coherent field in a dense distribution of particles,” J. Opt. Soc. Am. 72, 1317–1320 (1982). [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