Correspondence between continuous and discrete two-flux models for reflectance and transmittance of diffusing layers

Journal of Optics A: Pure and Applied Optics

Volumn 10, Issue 3, 2008, Pages

  Hébert, Mathieu ^a   Becker, Jean Marie ^b  

^a EPFL   (Switzerland)

^b UNIVERSITÉ JEAN MONNET   (France)

Author keywords

Diffusing layer; Kubelka model; Kubelka munk model; Light scattering; Matrix exponential; Reflectance; Transmittance

Indexed keywords

ASYMPTOTIC STABILITY; LIGHT SCATTERING; MATHEMATICAL MODELS; MATRIX ALGEBRA;

DIFFUSING LAYERS; KUBELKA MODEL; KUBELKA-MUNK MODEL; MATRIX EXPONENTIAL;

REFLECTION;

EID: 41249100326     PISSN: 14644258     EISSN: 17413567     Source Type: Journal    
DOI: 10.1088/1464-4258/10/3/035006     Document Type: Article

References (14)

1. Kubelka P and Munk F 1931 Ein Beitrag zur Optik der Farbanstriche Z. Tech. Phys. 12 593-601
2. Kubelka P 1948 New contributions to the optics of intensely light-scattering material, part I J. Opt. Soc. Am. 38 448-57
3. Kubelka P 1954 New contributions to the optics of intensely light-scattering materials, part II: non homogeneous layers J. Opt. Soc. Am. 44 330-5
4. Vargas W E and Niklasson G A 1997 Applicability conditions of the Kubelka-Munk theory Appl. Opt. 36 5580-6
5. Mourad S, Emmel P, Simon K and Hersch R D 2002 Prediction of monochrome reflectance spectra with an extended Kubelka-Munk model Proc. IS&T/SID, 10th Color Imaging Conf. (Scottsdale) vol 10 pp298-304
6. Yang L and Kruse B 2004 Revised Kubelka-Munk theory. I. Theory and application J. Opt. Soc. Am. A 21 1933-41
7. Vöge M and Simon K 2007 The Kubelka-Munk model and Dyck paths J. Stat. Mech.: Theory Exp. 2-18
8. Hébert M, Hersch R D and Becker J-M 2007 Compositional reflectance and transmittance model for multilayer specimens J. Opt. Soc. Am. A 24 2628-44
9. Hébert M and Hersch R D 2006 Reflectance and transmittance model for recto-verso halftone prints J. Opt. Soc. Am. A 23 2415-32
10. Emmel P and Hersch R D 1999 Towards a color prediction model for printed patches IEEE Comput. Graph. Appl. 19 54-60
11. Strang G 1986 Applied Mathematics (Cambridge, MA: MIT Press)
12. Yap C K 2000 Fundamental Problems of Algorithmic Algebra (Oxford: Oxford University Press)
13. Mie G 1908 Beiträge zur Optik trüber Medien, speziell kolloidaler Metalllösungen Ann. Phys., Vierte Folge 25 377-445
14. Melamed N T 1963 Optical properties of powders: part I. Optical absorption coefficients and the absolute value of the diffuse reflectance J. Appl. Phys. 34 560-70