Diffusion approximation revisited
JOSA A, Vol. 26, Issue 5, pp. 1291-1300 doi:10.1364/JOSAA.26.001291
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- OCIS Codes:
- (030.5620) Coherence and statistical optics : Radiative transfer
- (170.5280) Medical optics and biotechnology : Photon migration
- (290.1990) Scattering : Diffusion
Coherence and Statistical Optics
Citation
Manabu Machida, George Yu. Panasyuk, John C. Schotland, and Vadim A. Markel, "Diffusion approximation revisited," J. Opt. Soc. Am. A 26, 1291-1300 (2009)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-26-5-1291
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We study the diffusion approximation (DA) to the radiative transport equation (RTE) in infinite homogeneous space. Different definitions of the reduced intensity Ir that satisy a simplified RTE (without accounting for scattering) and that are often used in the derivation of the DA are examined. By comparing the results of the DA with exact solutions to the RTE, we come to the conclusion that the best accuracy in the DA is achieved if we choose the definition of the reduced intensity (from a family of possible definitions) that results in Ir=0. Thus, the separation of the specific intensity into reduced and diffuse components is unnecessary. We also discuss the conditions under which the DA is applicable.
© 2009 Optical Society of America
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History
Original Manuscript: January 29, 2009
Manuscript Accepted: March 19, 2009
Revised Manuscript: March 17, 2009
Published: April 30, 2009
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Author Affiliations
University of Pennsylvania
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