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8 March 2016 Radiative transfer equation modeling by streamline diffusion modified continuous Galerkin method
Feixiao Long, Fengyan Li, Xavier Intes, Shiva P. Kotha
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Journal of Biomedical Optics, Vol. 21, Issue 3, 036003 (March 2016). https://doi.org/10.1117/1.JBO.21.3.036003
Abstract
Optical tomography has a wide range of biomedical applications. Accurate prediction of photon transport in media is critical, as it directly affects the accuracy of the reconstructions. The radiative transfer equation (RTE) is the most accurate deterministic forward model, yet it has not been widely employed in practice due to the challenges in robust and efficient numerical implementations in high dimensions. Herein, we propose a method that combines the discrete ordinate method (DOM) with a streamline diffusion modified continuous Galerkin method to numerically solve RTE. Additionally, a phase function normalization technique was employed to dramatically reduce the instability of the DOM with fewer discrete angular points. To illustrate the accuracy and robustness of our method, the computed solutions to RTE were compared with Monte Carlo (MC) simulations when two types of sources (ideal pencil beam and Gaussian beam) and multiple optical properties were tested. Results show that with standard optical properties of human tissue, photon densities obtained using RTE are, on average, around 5% of those predicted by MC simulations in the entire/deeper region. These results suggest that this implementation of the finite element method-RTE is an accurate forward model for optical tomography in human tissues.
© 2016 Society of Photo-Optical Instrumentation Engineers (SPIE) 1083-3668/2016/$25.00 © 2016 SPIE
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Feixiao Long, Fengyan Li, Xavier Intes, and Shiva P. Kotha "Radiative transfer equation modeling by streamline diffusion modified continuous Galerkin method," Journal of Biomedical Optics 21(3), 036003 (8 March 2016). https://doi.org/10.1117/1.JBO.21.3.036003
Published: 8 March 2016
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Cited by 16 scholarly publications.
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KEYWORDS
Diffusion
Optical properties
Computer simulations
Radiative transfer
Optical simulations
3D modeling
Scattering
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