A pseudospectral method for solution of the radiative transport equation

JOURNAL OF COMPUTATIONAL PHYSICS

卷:384

Article

Powell, Samuel¹  Cox, Ben T.²  Arridge, Simon R.³ 

[1] Kings Coll London, Sch Biomed Engn & Imaging Sci, Becket House, London SE1 7EU, England

[2] UCL, Dept Med Phys & Biomed Engn, London WC1E 6BT, England

[3] UCL, Ctr Med Image Comp, London WC1E 6BT, England

关键词: Radiative transport;    Light transport;    Diffuse optics;    Biomedical optics;    Pseudospectral methods;   

DOI  :  10.1016/j.jcp.2019.01.024

来源: Elsevier

【 摘 要 】

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. (C) 2019 The Author(s). Published by Elsevier Inc.

【 授权许可】

Free