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Relationship between the Kubelka-Munk scattering and radiative transfer coefficients

Lookup NU author(s): Dr Suresh Thennadil

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Abstract

The relationship between the Kubelka-Munk (K-M) and the transport scattering coefficient is obtained Through a semi-empirical approach. This approach gives the same result as that given by Gate [Appl. Opt. 13, 236 (1974)] when the incident beam is diffuse. This result and those given by Star et al. (Phys. Med. Biol. 33, 437 (1988)] and Brinkworth [Appl. Opt. 11, 1434 (1972)] are compared with the exact solution of the radiative transfer equation over a large range of optical properties. It is found that the latter expressions, which include an absorption component, do not give accurate results over the range considered. Using the semi-empirical approach, the relationship between the K-M and the transport scattering coefficient is derived for the case where the incident light is collimated. It is shown that although the K-M equation is derived based on diffuse incident light, it can also represent very well the reflectance from a slab of infinite thickness when the incident light is collimated. However, in this case the relationship between the coefficients has to include a function that is dependent on the anisotropy factor. Analysis indicates that the K-M transform achieves the objective of obtaining a measure that gives the ratio of absorption to scattering effects for both diffuse and collimated incident beams over a large range of optical properties. © 2008 Optical Society of America.

Publication metadata

Author(s): Thennadil S

Publication type: Article

Publication status: Published

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

Year: 2008

Volume: 25

Issue: 7

Pages: 1480-1485

Print publication date: 01/07/2008

ISSN (print): 1084-7529

ISSN (electronic): 1520-8532

Publisher: Optical Society of America

URL: http://dx.doi.org/10.1364/JOSAA.25.001480

DOI: 10.1364/JOSAA.25.001480

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