English

A pseudospectral method for solution of the radiative transport equation

Computational Physics 2019-03-19 v3

Abstract

The radiative transport equation accurately describes light transport in participating media such as biological tissues, though analytic solutions are known only for simple geometries. We present a pseudospectral technique to efficiently compute numerical solutions to the time-dependent transport equation in arbitrary three-dimensional heterogeneous media with anisotropic scattering. Our GPU-accelerated implementation of the technique is validated by comparison with a Monte-Carlo simulation, demonstrating excellent agreement.

Keywords

Cite

@article{arxiv.1801.06364,
  title  = {A pseudospectral method for solution of the radiative transport equation},
  author = {Samuel Powell and Ben T. Cox and Simon R. Arridge},
  journal= {arXiv preprint arXiv:1801.06364},
  year   = {2019}
}

Comments

6 pages, 4 figures; updated to accepted manuscript

R2 v1 2026-06-22T23:49:46.011Z