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.
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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 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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