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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 25, Iss. 6 — Jun. 1, 2008
  • pp: 1406–1419

Model of light scattering that includes polarization effects by multilayered media

Clémence Bordier, Christine Andraud, and Jacques Lafait  »View Author Affiliations

JOSA A, Vol. 25, Issue 6, pp. 1406-1419 (2008)

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We present a model for calculating the angular distribution of light, including polarization effects from multilayered inhomogeneous media, with an index of refraction mismatch between layers. The model is based on the resolution of the radiative transfer equation by the discrete ordinate method. Comparisons with previous simpler models and examples of simulations are presented.

© 2008 Optical Society of America

OCIS Codes
(030.5620) Coherence and statistical optics : Radiative transfer
(290.4210) Scattering : Multiple scattering
(290.1483) Scattering : BSDF, BRDF, and BTDF
(290.5855) Scattering : Scattering, polarization

ToC Category:

Original Manuscript: September 27, 2007
Revised Manuscript: February 25, 2008
Manuscript Accepted: March 19, 2008
Published: May 22, 2008

Virtual Issues
Vol. 3, Iss. 7 Virtual Journal for Biomedical Optics

Clémence Bordier, Christine Andraud, and Jacques Lafait, "Model of light scattering that includes polarization effects by multilayered media," J. Opt. Soc. Am. A 25, 1406-1419 (2008)

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  1. K. Stamnes and R. A. Swanson, “A new look at the discrete ordinate method for radiative transfer calculations in anisotropically scattering atmospheres,” J. Atmos. Sci. 38, 387-399 (1981). [CrossRef]
  2. S. Chandrasekhar, Radiative Transfer (Clarendon, 1950).
  3. A. Ishimaru, “Diffusion of light in turbid material,” Appl. Opt. 28, 2210-2215 (1989). [CrossRef] [PubMed]
  4. P. Kubelka and F. Munk, “Ein Beitrag zur Optik der Farbanstriche,” Z. Tech. Phys. (Leipzig) 12, 593-601 (1931).
  5. B. Maheu, J. N. Letoulouzan, and G. Gouesbet, “Four-flux models to solve the scattering transfer equation in terms of Lorenz-Mie parameters,” Appl. Opt. 23, 3353-3362 (1984). [CrossRef] [PubMed]
  6. P. S. Mudgett and L. W. Richards, “Multiple scattering calculations for technology,” Appl. Opt. 10, 1485-1501 (1971). [CrossRef] [PubMed]
  7. K. Stamnes and P. Conklin, “A new multi-layer discrete ordinate approach to radiative transfer in vertically inhomogeneous atmospheres,” J. Quant. Spectrosc. Radiat. Transf. 31, 273-282 (1984). [CrossRef]
  8. K. Stamnes, S.-C. Tsay, W. Wiscombe, and K. Jayaweera, “Numerically stable algorithm for discrete-ordinate-method radiative transfer in multiple scattering and emitting layered media,” Appl. Opt. 27, 2502-2509 (1988). [CrossRef] [PubMed]
  9. Z. Jin and K. Stamnes, “Radiative transfer in nonuniformly refracting layered media: atmosphere-ocean system,” Appl. Opt. 33, 431-442 (1994). [CrossRef] [PubMed]
  10. A. Da Silva, C. Andraud, J. Lafait, T. Robin, and R. G. Barrera, “A model of the angular distribution of light scattered by multilayered media,” J. Mod. Opt. 51, 313-332 (2004). [CrossRef]
  11. A. Da Silva, C. Andraud, E. Charron, B. Stout, and J. Lafait, “Light scattering through layered media with strong interaction between scatterers: theory and experiments,” Physica B 338, 74-78 (2003). [CrossRef]
  12. M. I. Mishchenko, A. A. Lacis, and L. D. Travis, “Errors induced by the neglect of polarization in radiance calculations for Rayleigh-scattering atmospheres,” J. Quant. Spectrosc. Radiat. Transf. 51, 491-510 (1994). [CrossRef]
  13. C. Bordier, C. Andraud, J. Lafait, and E. Charron, “Radiative transfer model with polarization effects applied to organic matter,” Physica B 394, 301-305 (2007). [CrossRef]
  14. F. M. Schulz, K. Stamnes, and F. Weng, “VDISORT: an improved and generalized discrete ordinate method for polarized (vector) radiative transfer,” J. Quant. Spectrosc. Radiat. Transf. 61, 105-122 (1999). [CrossRef]
  15. F. M. Schulz and K. Stamnes, “Angular distribution of the Stokes vector in a plane-parallel vertically inhomogeneous medium in the vector discrete ordinate radiative transfer (VDISORT) model,” J. Quant. Spectrosc. Radiat. Transf. 65, 609-620 (2000). [CrossRef]
  16. C. E. Siewert, “A discrete-ordinates solution for radiative-transfer models that include polarization effects,” J. Quant. Spectrosc. Radiat. Transf. 64, 227-254 (2000). [CrossRef]
  17. L. Roux, “Etude numérique de la diffusion multiple dans des milieux aléatoires. Modèles de transfert radiatif et electromagnétique,” Ph.D. thesis (Ecole Centrale, 1999).
  18. J. Caron, “Diffusion de la lumière dans les milieux stratifiés: prise en compte des interfaces rugueuses et des effets de polarisation,” Ph.D. thesis (University of Paris, 2003).
  19. H. C. Van de Hulst, Light Scattering by Small Particles (Dover, 1981).
  20. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).
  21. G. Fardella, “Modélisation de l'émission thermique de rayonnement infrarouge par les milieux inhomogènes,” Ph.D. thesis (University of Paris, 1995).
  22. J. C. Auger, “Dependant light scattering in dense heterogeneous media,” Physica B 279, 21-24 (2000). [CrossRef]
  23. M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Scattering, Absorption and Emission of Light by Small Particles (Cambridge U. Press, 2002).
  24. J. Caron, C. Andraud, and J. Lafait, “Radiative transfer calculations in multilayer systems with smooth or rough interfaces,” J. Mod. Opt. 51, 575-596 (2004). [CrossRef]
  25. J. W. Hovenier and C. V. M. Van der Mee, “Fundamental relationships relevant to the transfer of polarized light in scattering atmosphere,” Astron. Astrophys. 128, 1-16 (1983).
  26. C. E. Siewert, “On the equation of transfer relevant to the scattering of polarized light,” Astrophys. J. 245, 1080-1086 (1981). [CrossRef]
  27. V. H. Domke, “Fourier expansion of the phase matrix for Mie scattering,” Z. Meteorol. 25, 357-361 (1975).
  28. W. A. De Rooij and C. C. A. H. Van der Stap, “Expansion of Mie scattering matrices in generalized spherical functions,” Astron. Astrophys. 131, 237-248 (1984).
  29. P. Vestrucci and C. E. Siewert, “A numerical evaluation of an analytical representation of the components in a Fourier decomposition of the phase matrix for the scattering of polarized light,” J. Quant. Spectrosc. Radiat. Transf. 31, 177-183 (1984). [CrossRef]
  30. W. J. Wiscombe, “Improved Mie scattering algorithm,” Appl. Opt. 19, 1505-1509 (1980). [CrossRef] [PubMed]
  31. W. M. F. Wauben and J. W. Hovenier, “Polarized radiation of an atmosphere containing randomly-oriented spheroids,” J. Quant. Spectrosc. Radiat. Transf. 47, 491-503 (1992). [CrossRef]
  32. F. Kuik, J. F. de Haan, and J. W. Hovenier, “Benchmark results for single scattering by spheroids,” J. Quant. Spectrosc. Radiat. Transf. 47, 477-489 (1992). [CrossRef]
  33. J. E. Hansen and D. Travis, “Light scattering in planetary atmospheres,” Space Sci. Rev. 16, 527-610 (1974). [CrossRef]

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