TY - JOUR
T1 - Simulating photon-transport in uniform media using the radiative transport equation
T2 - A study using the Neumann-series approach
AU - Jha, Abhinav K.
AU - Kupinski, Matthew A.
AU - Masumura, Takahiro
AU - Clarkson, Eric
AU - Maslov, Alexey V.
AU - Barrett, Harrison H.
PY - 2012/8
Y1 - 2012/8
N2 - 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.
AB - 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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U2 - 10.1364/JOSAA.29.001741
DO - 10.1364/JOSAA.29.001741
M3 - Article
C2 - 23201893
AN - SCOPUS:84864710808
SN - 1084-7529
VL - 29
SP - 1741
EP - 1757
JO - Journal of the Optical Society of America A: Optics and Image Science, and Vision
JF - Journal of the Optical Society of America A: Optics and Image Science, and Vision
IS - 8
ER -