Relationship between the Kubelka-Munk scattering and radiative transfer coefficients
JOSA A, Vol. 25, Issue 7, pp. 1480-1485 (2008)
http://dx.doi.org/10.1364/JOSAA.25.001480
Enhanced HTML 
Acrobat PDF (1143 KB)
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
OCIS Codes
(290.4210) Scattering : Multiple scattering
(290.5850) Scattering : Scattering, particles
(290.7050) Scattering : Turbid media
(010.5620) Atmospheric and oceanic optics : Radiative transfer
ToC Category:
Scattering
History
Original Manuscript: January 22, 2008
Revised Manuscript: March 27, 2008
Manuscript Accepted: April 24, 2008
Published: June 3, 2008
Virtual Issues
Vol. 3, Iss. 8 Virtual Journal for Biomedical Optics
Citation
Suresh N. Thennadil, "Relationship between the Kubelka-Munk scattering and radiative transfer coefficients," J. Opt. Soc. Am. A 25, 1480-1485 (2008)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-25-7-1480
You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Log in to access OSA Member Subscription
You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Log in to access OSA Member Subscription
You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Log in to access OSA Member Subscription
You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Log in to access OSA Member Subscription
Related Journal Articles 
- Diffuse radiation intensity propagating through a particulate slab (JOSAA)
- Modeling of Multiple-Scattering Suppression by a One-Beam Cross-Correlation System (AO)
- Two-Flux Radiative Transfer Model Under Nonisotropic Propagating Diffuse Radiation (AO)
- Limits of the small-angle approximation to the radiative transport equation (JOSAA)
- Coherent reflection of light from a turbid suspension of particles in an internal-reflection configuration: Theory versus experiment (OE)
Related Conference Papers
- Measurement of smoothed Wigner phase space distributions in multiple scattering media
- Effective optical properties of two-layered turbid media using the frequency-domain multi-distance method
- Determination of particle size distribution in concentrated suspensions: Photon Migration Approach
- Laser backscatterting polarization patterns from turbid media: theory and experiment
- Scattering Theories for Ensembles of Particles
OSA is a member of 