A pseudospectral method for solution of the radiative transport equation

Powell, Samuel; Cox, Ben T.; Arridge, Simon R.

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.

Citation

Powell, S., Cox, B. T., & Arridge, S. R. (2019). A pseudospectral method for solution of the radiative transport equation. Journal of Computational Physics, 384, 376-382. https://doi.org/10.1016/j.jcp.2019.01.024

• Journal Article Type: Article
• Acceptance Date: Jan 16, 2019
• Online Publication Date: Feb 6, 2019
• Publication Date: 2019-05
• Deposit Date: Jan 24, 2020
• Publicly Available Date: Jan 24, 2020
• Journal: Journal of Computational Physics
• Print ISSN: 0021-9991
• Electronic ISSN: 1090-2716
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 384
• Pages: 376-382
• DOI: https://doi.org/10.1016/j.jcp.2019.01.024
• Keywords: Radiative transport; Light transport; Diffuse optics; Biomedical optics; Pseudospectral methods
• Public URL: https://nottingham-repository.worktribe.com/output/3791601
• Publisher URL: https://www.sciencedirect.com/science/article/pii/S0021999119300658?via%3Dihub
• Additional Information: This article is maintained by: Elsevier; Article Title: A pseudospectral method for solution of the radiative transport equation; Journal Title: Journal of Computational Physics; CrossRef DOI link to publisher maintained version: https://doi.org/10.1016/j.jcp.2019.01.024; Content Type: article; Copyright: © 2019 The Author(s). Published by Elsevier Inc.