## 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

Full Article | PDF Article**OSA Recommended Articles**

Abhinav K. Jha, Matthew A. Kupinski, Harrison H. Barrett, Eric Clarkson, and John H. Hartman

J. Opt. Soc. Am. A **29**(9) 1885-1899 (2012)

Abhinav K. Jha, Yansong Zhu, Simon Arridge, Dean F. Wong, and Arman Rahmim

Biomed. Opt. Express **9**(4) 1389-1407 (2018)

Aki Pulkkinen and Tanja Tarvainen

J. Opt. Soc. Am. A **30**(3) 470-478 (2013)