On the accuracy of generalized fokker-planck transport equations in tissue optics

Kevin G. Phillips, Carlo Lancellotti

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Forward-peaked and large-angle scattering approximations of the radiative transport equation give rise to generalized Fokker-PIanck equations whose main feature is the replacement of the integral scattering operator with differential operators in the direction-space variables. Using the PN method, an appraisal of generalized Fokker-PIanck equations due to González- Rodriguez and Kim [Appl. Opt. 47, 2599-2609 (2008)], Leakeas and Larsen [Nucl. Sci. Eng. 137, 236-250 (2001), and J. Opt. Soc. Am. A 20, 92-98 (2003)], and Pomraning [Math. Models Meth. Appl. Sci. 2, 21-36 (1992)] is carried out by computing the relative error between the backscattered and transmitted surface flux predicted by the generalized Fokker-PIanck equations and the transport equation with Henyey-Greenstein phase function for anisotropies ranging from 0 to 1. Generalized Fokker-PIanck equations whose scattering operators incorporate large-angle scattering and possess eigenvalues similar to the integral scattering operator with Henyey-Greenstein phase function are found to minimize the relative error in the limit of unit anisotropy.

Original languageEnglish (US)
Pages (from-to)229-241
Number of pages13
JournalApplied Optics
Volume48
Issue number2
DOIs
StatePublished - Jan 10 2009

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Optics
optics
Scattering
Tissue
scattering
Anisotropy
operators
Radiative transfer
anisotropy
differential operators
Mathematical operators
Fluxes
eigenvalues
approximation

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

On the accuracy of generalized fokker-planck transport equations in tissue optics. / Phillips, Kevin G.; Lancellotti, Carlo.

In: Applied Optics, Vol. 48, No. 2, 10.01.2009, p. 229-241.

Research output: Contribution to journalArticle

Phillips, Kevin G. ; Lancellotti, Carlo. / On the accuracy of generalized fokker-planck transport equations in tissue optics. In: Applied Optics. 2009 ; Vol. 48, No. 2. pp. 229-241.
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