## Simulating photon-transport in uniform media using the radiative transport equation: a study using the Neumann-series approach |

JOSA A, Vol. 29, Issue 8, pp. 1741-1757 (2012)

http://dx.doi.org/10.1364/JOSAA.29.001741

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### Abstract

We present the implementation, validation, and performance of a Neumann-series approach for simulating light propagation at optical wavelengths in uniform media using the radiative transport equation (RTE). The RTE is solved for an anisotropic-scattering medium in a spherical harmonic basis for a diffuse-optical-imaging setup. The main objectives of this paper are threefold: to present the theory behind the Neumann-series form for the RTE, to design and develop the mathematical methods and the software to implement the Neumann series for a diffuse-optical-imaging setup, and, finally, to perform an exhaustive study of the accuracy, practical limitations, and computational efficiency of the Neumann-series method. Through our results, we demonstrate that the Neumann-series approach can be used to model light propagation in uniform media with small geometries at optical wavelengths.

© 2012 Optical Society of America

**OCIS Codes**

(000.3860) General : Mathematical methods in physics

(110.2990) Imaging systems : Image formation theory

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

**ToC Category:**

Imaging Systems

**History**

Original Manuscript: March 12, 2012

Manuscript Accepted: May 21, 2012

Published: August 1, 2012

**Virtual Issues**

Vol. 7, Iss. 10 *Virtual Journal for Biomedical Optics*

**Citation**

Abhinav K. Jha, Matthew A. Kupinski, Takahiro Masumura, Eric Clarkson, Alexey V. Maslov, and Harrison H. Barrett, "Simulating photon-transport in uniform media using the radiative transport equation: a study using the Neumann-series approach," J. Opt. Soc. Am. A **29**, 1741-1757 (2012)

http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=josaa-29-8-1741

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