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

Abhinav K. Jha, Matthew A. Kupinski, Takahiro Masumura, Eric Clarkson, Alexey V. Maslov, Harrison H. Barrett

Research output: Contribution to journalArticle

21 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)1741-1757
Number of pages17
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Volume29
Issue number8
DOIs
StatePublished - Aug 2012

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Computer Vision and Pattern Recognition

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