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A pseudospectral method for solution of the radiative transport equation

Powell, S; Cox, BT; Arridge, SR; (2019) A pseudospectral method for solution of the radiative transport equation. Journal of Computational Physics , 384 pp. 376-382. 10.1016/j.jcp.2019.01.024. (In press). Green open access

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Abstract

The radiative transport equation accurately describes light transport in participating media, though analytic solutions are known only for simple geometries. We present a pseudospectral technique to efficiently compute numerical solutions to large-scale time-dependent and steady-state problems, with anisotropic scattering. A perfectly matched layer is proposed which allows this method to be applied in arbitrarily complex heterogeneous media. Our GPU-accelerated implementation of the technique is validated by comparison with a Monte-Carlo simulation, demonstrating excellent agreement.

Type: Article
Title: A pseudospectral method for solution of the radiative transport equation
Open access status: An open access version is available from UCL Discovery
DOI: 10.1016/j.jcp.2019.01.024
Publisher version: https://doi.org/10.1016/j.jcp.2019.01.024
Language: English
Additional information: Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
Keywords: Radiative transport, Light transport, Diffuse optics, Biomedical optics, Pseudospectral methods
UCL classification: UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Med Phys and Biomedical Eng
URI: https://discovery.ucl.ac.uk/id/eprint/10071213
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