## Modeling boundary measurements of scattered light using the corrected diffusion approximation |

Biomedical Optics Express, Vol. 3, Issue 3, pp. 552-571 (2012)

http://dx.doi.org/10.1364/BOE.3.000552

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### Abstract

We study the modeling and simulation of steady-state measurements of light scattered by a turbid medium taken at the boundary. In particular, we implement the recently introduced corrected diffusion approximation in two spatial dimensions to model these boundary measurements. This implementation uses expansions in plane wave solutions to compute boundary conditions and the additive boundary layer correction, and a finite element method to solve the diffusion equation. We show that this corrected diffusion approximation models boundary measurements substantially better than the standard diffusion approximation in comparison to numerical solutions of the radiative transport equation.

© 2012 OSA

**OCIS Codes**

(000.3860) General : Mathematical methods in physics

(030.5620) Coherence and statistical optics : Radiative transfer

(170.3660) Medical optics and biotechnology : Light propagation in tissues

(170.7050) Medical optics and biotechnology : Turbid media

(290.1990) Scattering : Diffusion

**ToC Category:**

Optics of Tissue and Turbid Media

**History**

Original Manuscript: January 5, 2012

Revised Manuscript: February 9, 2012

Manuscript Accepted: February 9, 2012

Published: February 21, 2012

**Citation**

Ossi Lehtikangas, Tanja Tarvainen, and Arnold D. Kim, "Modeling boundary measurements of scattered light using the corrected diffusion approximation," Biomed. Opt. Express **3**, 552-571 (2012)

http://www.opticsinfobase.org/boe/abstract.cfm?URI=boe-3-3-552

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