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
Original Manuscript: March 12, 2012
Manuscript Accepted: May 21, 2012
Published: August 1, 2012
Vol. 7, Iss. 10 Virtual Journal for Biomedical Optics
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)