使用辐射传输方程模拟均匀介质中的光子传输：一项采用诺伊曼级数方法的研究。
Simulating photon-transport in uniform media using the radiative transport equation: a study using the Neumann-series approach.
作者信息
Jha Abhinav K, Kupinski Matthew A, Masumura Takahiro, Clarkson Eric, Maslov Alexey V, Barrett Harrison H
机构信息
College of Optical Sciences, University of Arizona, Tucson, Arizona, USA.
出版信息
J Opt Soc Am A Opt Image Sci Vis. 2012 Aug 1;29(8):1741-57. doi: 10.1364/JOSAA.29.001741.
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.
摘要
我们展示了一种基于诺伊曼级数方法的实现、验证及其性能，该方法用于使用辐射传输方程（RTE）模拟均匀介质中光在光学波长下的传播。对于漫射光学成像设置，在球谐函数基下求解各向异性散射介质的RTE。本文的主要目标有三个：介绍RTE的诺伊曼级数形式背后的理论，设计并开发用于漫射光学成像设置实现诺伊曼级数的数学方法和软件，最后，对诺伊曼级数方法的准确性、实际局限性和计算效率进行详尽研究。通过我们的结果，我们证明了诺伊曼级数方法可用于对光学波长下具有小尺寸几何形状的均匀介质中的光传播进行建模。
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