Simulating Photon-transport in Uniform Media Using the Radiative Transport Equation: a Study Using the Neumann-series Approach

Overview

Journal J Opt Soc Am A Opt Image Sci Vis

Specialty Ophthalmology

Date 2012 Dec 4

PMID 23201893

Citations 11

Authors

Abhinav K Jha

Matthew A Kupinski

Takahiro Masumura

Eric Clarkson

Alexey V Maslov

Harrison H Barrett

Affiliations

Soon will be listed here.

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.

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