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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 46, Iss. 21 — Jul. 20, 2007
  • pp: 4843–4851

Improved steady-state diffusion approximation with an anisotropic point source and the δ—Eddington phase function

Chenggang Chai, Yaqin Chen, Pengcheng Li, and Qingming Luo  »View Author Affiliations

Applied Optics, Vol. 46, Issue 21, pp. 4843-4851 (2007)

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Using the algebra transformation method, we develop and demonstrate the use of the δ P 1 approximation to improve steady-state radiative-transfer estimates on spatial scales comparable to the mean free path. We show that the δ P 1 approximation agrees well with Monte Carlo simulation from source to infinity when we choose an appropriate parameter f (fractional portion that scatters directly forward) in the δ–Eddington phase function. We also provide the empirical formula to determine the parameter f.

© 2007 Optical Society of America

OCIS Codes
(030.0030) Coherence and statistical optics : Coherence and statistical optics
(290.0290) Scattering : Scattering
(290.7050) Scattering : Turbid media

ToC Category:

Original Manuscript: October 16, 2006
Revised Manuscript: March 7, 2007
Manuscript Accepted: March 29, 2007
Published: July 6, 2007

Virtual Issues
Vol. 2, Iss. 8 Virtual Journal for Biomedical Optics

Chenggang Chai, Yaqin Chen, Pengcheng Li, and Qingming Luo, "Improved steady-state diffusion approximation with an anisotropic point source and the δ--Eddington phase function," Appl. Opt. 46, 4843-4851 (2007)

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