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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 48, Iss. 2 — Jan. 10, 2009
  • pp: 229–241

On the accuracy of generalized Fokker–Planck transport equations in tissue optics

Kevin G. Phillips and Carlo Lancellotti  »View Author Affiliations

Applied Optics, Vol. 48, Issue 2, pp. 229-241 (2009)

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Forward-peaked and large-angle scattering approximations of the radiative transport equation give rise to generalized Fokker–Planck equations whose main feature is the replacement of the integral scattering operator with differential operators in the direction-space variables. Using the P N method, an appraisal of generalized Fokker–Planck equations due to González-Rodríguez 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–Planck equations and the transport equation with Henyey–Greenstein phase function for anisotropies ranging from 0 to 1. Generalized Fokker–Planck 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.

© 2009 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(000.4430) General : Numerical approximation and analysis
(030.5620) Coherence and statistical optics : Radiative transfer
(170.3660) Medical optics and biotechnology : Light propagation in tissues

ToC Category:
Coherence and Statistical Optics

Original Manuscript: July 23, 2008
Revised Manuscript: November 17, 2008
Manuscript Accepted: November 19, 2008
Published: January 7, 2009

Virtual Issues
Vol. 4, Iss. 3 Virtual Journal for Biomedical Optics

Kevin G. Phillips and Carlo Lancellotti, "On the accuracy of generalized Fokker-Planck transport equations in tissue optics," Appl. Opt. 48, 229-241 (2009)

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