Anisotropic reflectance from turbid media. I. theory

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

Volumn 27, Issue 5, 2010, Pages 1032-1039

  Neuman, Magnus ^a   Edström, Per ^a  

^a MID SWEDEN UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; ERROR DETECTION; REFLECTION; SCATTERING; TURBIDITY;

ABSORBING MEDIA; ANALYTICAL CALCULATION; ANISOTROPIC REFLECTANCE; BULK SCATTERING; DIFFUSE ILLUMINATION; EXACT RESULTS; INTENSITY OF LIGHT; KUBELKA-MUNK; KUBELKA-MUNK MODEL; NEAR-SURFACE; OPTIMAL ANGLE; POLAR ANGLES; REFLECTANCE MEASUREMENTS; TURBID MEDIA;

ANISOTROPIC MEDIA;

EID: 77955994658     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.27.001032     Document Type: Article

References (32)

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) 11a, 593-601 (1931).
3. P. Kubelka, "New contributions to the optics of intensely light scattering materials. Part I", J. Opt. Soc. Am. 38, 330-335 (1948).
4. P. Kubelka, "New contributions to the optics of intensely light scattering materials. Part II", J. Opt. Soc. Am. 44, 448-457 (1954).
5. S. Chandrasekhar, Radiative Transfer (Dover, 1960).
6. P. Edström, "A fast and stable solution method for the radiative transfer problem", SIAM Rev. 47, 447-468 (2005).
7. J. H. Nobbs, "Kubelka-Munk theory and the prediction of reflectance", Rev. Prog. Coloration 15, 66-75 (1985).
8. M. J. Leskelä, "Optical calculations for multilayer papers", Tappi J. 78, 167-172 (1995).
9. 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).
10. S. H. Kong and J. D. Shore, "Evaluation of the telegrapher's equation and multiple-flux theories for calculating the transmittance and reflectance of a diffuse absorbing slab", J. Opt. Soc. Am. A 24, 702-710 (2007).
11. J. A. van den Akker, "Scattering and absorption of light in paper and other diffusing media", TAPPI 32, 498-501 (1949).
12. W. J. Foote, "An investigation of the fundamental scattering and absorption coefficients of dyed handsheets", Pap. Trade J. 109, 333-340 (1939).
13. L. Nordman, P. Aaltonen, and T. Makkonen, "Relationship between mechanical and optical properties of paper affected by web consolidation", in Transactions of the Symposium on the Consolidation of the Paper Web, F. Bolam, ed. (Technical Section, British Paper and Board Makers' Association, 1966), Vol. 2, pp. 909-927.
14. S. Moldenius, "Light absorption coefficient spectra of hydrogen peroxide bleached mechanical pulp", Pap. Puu 65, 747-756 (1983).
15. M. Rundlöf and J. A. Bristow, "A note concerning the interaction between light scattering and light absorption in the application of the Kubelka-Munk equations", J. Pulp Pap. Sci. 23, 220-223 (1997).
16. J. A. van den Akker, "Theory of some of the discrepancies observed in application of the Kubelka-Munk equations to particulate systems", in Modern Aspects of Reflectance Spectroscopy, W. W. Wendlandt, ed. (Plenum Press, 1968), pp. 27-46.
17. A. A. Koukoulas and B. D. Jordan, "Effect of strong absorption on the Kubelka-Munk scattering coefficient", J. Pulp Pap. Sci. 23, 224-232 (1997).
18. J. A. van den Akker, "Discussion on 'Relationships between mechanical and optical properties of paper affected by web consolidation'", in Transactions of the Symposium on the Consolidation of the Paper Web, Vol. 2, F. Bolam, ed. (Technical Section, British Board Makers' Association, 1966), pp. 948-950.
19. H. Granberg and P. Edström, "Quantification of the intrinsic error of the Kubelka-Munk model caused by strong light absorption", J. Pulp Pap. Sci. 29, 386-390 (2003).
20. P. Edström, "Comparison of the DORT2002 radiative transfer solution method and the Kubelka-Munk model", Nord. Pulp Pap. Res. J. 19, 397-403 (2004).
21. M. Neuman and P. Edström, "Anisotropic reflectance from turbid media. II. Measurements", J. Opt. Soc. Am. A 27, 1040-1045 (2010).
22. F. E. Nicodemus, J. C. Richmond, J. J. Hsia, I. W. Ginsberg, and T. Lamperis, "Geometrical Considerations and Nomenclature for Reflectance", (National Bureau of Standards, 1977).
23. K. M. Case and P. F. Zweifel, Linear Transport Theory (Addison-Wesley, 1967).
24. M. Choulli and P. Stefanov, "An inverse boundary value problem for the stationary transport equation", Osaka J. Math. 36, 87-104 (1998).
25. P. Mudgett and L. W. Richards, "Multiple scattering calculations for technology", Appl. Opt. 10, 1485-1502 (1971).
26. P. Mudgett and L. W. Richards, "Multiple scattering calculations for technology II", J. Colloid Interface Sci. 39, 551-567 (1972).
27. H. C. van de Hulst, Multiple Light Scattering. Tables, Formulas and Applications, Vol. 2 (Academic, 1980).
28. W. M. Star, J. P. A. Marijnissen, and M. J. C. van Gemert, "Light dosimetry in optical phantoms and in tissues: I. Multiple flux and transport theory", Phys. Med. Biol. 33, 437-454 (1998).
29. S. N. Thennadil, "Relationship between the Kubelka-Munk scattering and radiative transfer coefficients", J. Opt. Soc. Am. A 25, 1480-1485 (2008).
30. A. A. Kokhanovsky, "Physical interpretation and accuracy of the Kubelka-Munk theory", J. Phys. D: Appl. Phys. 20, 2210-2216 (2007).
31. A. Kokhanovsky and I. Hopkinson, "Some analytical approximations to radiative transfer theory and their application for the analysis of reflectance data", J. Opt. A, Pure Appl. Opt. 10, 1-8 (2008).
32. ISO 2469: Paper, Board and Pulps-Measurement of Diffuse Reflectance Factor (International Organization for Standardization, 1994).