Generalized method for evaluating scattering parameters used in radiative transfer models

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 14, Issue 9, 1997, Pages 2243-2252

  Vargas, William E ^a   Niklasson, Gunnar A ^a  

^a UPPSALA UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATIONS; LIGHT; LIGHT ABSORPTION; MATHEMATICAL MODELS; NUMERICAL METHODS; OPTIMIZATION; PARTICLES (PARTICULATE MATTER); REFRACTIVE INDEX;

EFFECTIVE SCATTERING; HARTEL THEORY; LORENZ-MIE THEORY; RADIATIVE TRANSFER MODEL;

LIGHT SCATTERING;

EID: 0031233665     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.14.002243     Document Type: Article

References (35)

1. A. Schuster, “Radiation through a foggy atmosphere,” Astrophys. J. 21, 1-22 (1905).
2. P. Kubelka and F. Munk, “Ein Beitrag zur Optik der Farbanstriche,” Z. Tech. Phys. (Leipzig) 12, 593-601 (1931).
3. N. P. Ryde and E. Matijevic, “Color effects of uniform colloidal particles of different morphologies packed into films,” Appl. Opt. 33, 7275-7281 (1994).
4. M. K. Gunde, J. K. Logar, Z. C. Orel, and B. Orel, “Application of the Kubelka-Munk theory to thickness-dependent diffuse reflectance of black paints in the mid-IR,” Appl. Spectrosc. 49, 623-629 (1995).
5. D. C. Rich, “Computer-aided design and manufacturing of the color of decorative and protective coatings,” J. Coat. Techn. 67, 53-60 (1995).
6. P. Latimer and S. J. Noh, “Light propagation in moderately dense particle systems: a reexamination of the Kubelka -Munk theory,” Appl. Opt. 26, 514-523 (1987).
7. A. A. Christy, O. M. Kvalheim, and R. A. Velapoldi, “Quantitative analysis in diffuse reflectance spectrometry: a modified Kubelka-Munk equation,” Vibrational Spectrosc. 9, 19-27 (1995).
8. A. Mandelis and J. P. Grossman, “Perturbation theoretical approach to the generalized Kubelka-Munk problem in nonhomogeneous optical media,” Appl. Spectrosc. 46, 737-745 (1992).
9. L. Silberstein, “The transparency of turbid media,” Philos. Mag. 4, 1291-1296 (1927).
10. J. W. Ryde, “The scattering of light by turbid media. Part I,” Proc. R. Soc. London Ser. A 131, 451-464 (1931).
11. S. Q. Duntley, “The optical properties of diffusing materials,” J. Opt. Soc. Am. 32, 61-70 (1942).
12. E. O. Hulburt, “Propagation of radiation in a scattering and absorbing medium,” J. Opt. Soc. Am. 33, 42-45 (1943).
13. P. Kubelka, “New contributions to the optics of intensely light-scattering materials. Part I,” J. Opt. Soc. Am. 38, 448-457 (1948).
14. R. Koenigsdorff, F. Miller, and R. Ziegler, “Calculation of scattering fractions for use in radiative flux models,” Int. J. Heat Mass Transfer 34, 2673-2676 (1991).
15. P. S. Mudgett and L. W. Richards, “Multiple scattering calculations for technology,”Appl. Opt. 10, 1485-1502 (1971).
16. P. S. Mudgett and L. W. Richards, “Multiple scattering calculations for technology II,” J. Colloid Interf. Sci. 39, 551-567 (1972).
17. A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, New York, 1978).
18. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).
19. P. Chylek, “Mie scattering into the backward hemisphere,” J. Opt. Soc. Am. 63, 1467-1471 (1973).
20. 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).
21. B. Maheu and G. Gouesbet, “Four-flux models to solve the scattering transfer equation: special cases,” Appl. Opt. 25, 1122-1128 (1986).
22. H. C. van de Hulst, Multiple Light Scattering (Academic, New York, 1980).
23. C. M. Chu and S. W. Churchill, “Representation of the angular distribution of radiation scattered by a spherical particle,” J. Opt. Soc. Am. 45, 958-962 (1955).
24. W. E. Vargas and G. A. Niklasson, “Forward average pathlength parameter in four-flux radiative transfer models,” Appl. Opt. 36, 3735-3738 (1997).
25. W. Hartel, “Zur Theorie der Lichtstreuung durch trube Schichten besonders Triibgser,” Licht 10, 141-143, 165, 190, 191, 214, 215, 232-234 (1940).
26. W. E. Vargas and G. A. Niklasson, “Intensity of diffuse radiation in particulate media,” J. Opt. Soc. Am. A 14, 2253-2262 (1997).
27. J. Reichman, “Determination of absorption and scattering coefficients for nonhomogeneous media. 1: theory,” Appl. Opt. 12, 1811-1815 (1973).
28. H. G. Hecht, “The a priori calculation of the diffuse reflectance of a turbid medium,” Opt. Acta 30, 659-668 (1983).
29. V. G. Kolinko, F. F. M. de Mul, J. Greve, and A. V. Priezzhev, “Probabilistic model of multiple light scattering based on rigorous computation of the first and the second moments of photon coordinates,” Appl. Opt. 35, 4541-4550 (1996).
30. M. Graber and A. Cohen, “Multiple scattering: theoretical calculations compared with experimental dye-laser measurements,” J. Opt. Soc. Am. 65, 1306-1310 (1975).
31. Y. P. Wang, S. W. Zheng, and K. F. Ren, “Four-flux model with adjusted average crossing parameter to solve the scattering transfer equation,” Appl. Opt. 28, 24-26 (1989).
32. A. Ben David, “Multiple-scattering transmission and an effective average photon path length of a plane-parallel beam in a homogeneous medium,” Appl. Opt. 34, 2802-2810 (1995).
33. W. R. Blevin and W. J. Brown, “Light scattering properties of pigment suspensions,” J. Opt. Soc. Am. 51, 975-982 (1961).
34. W. P. Hsu, R. Yu, and E. Matijevic, “Paper whiteners I. Titania coated silica,” J. Colloid Interface Sci. 156, 56-65 (1993).
35. W. E. Vargas and G. A. Niklasson, “Comparison between optimization criteria for light scattering from nonabsorbing spherical particles,” J. Colloid Interface Sci. 169, 497-499 (1995).