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Published October 2019 | public
Journal Article

Light transport with the equation of radiative transfer: the Fourier Continuation – Discrete Ordinates (FC–DOM) Method

Abstract

We present a method for the treatment of the time dependent radiative transfer equation under the discrete ordinate approximation. The novelty of the proposed approach stems, in part, from the incorporation of a spectral method for the calculation of the spatial differential operators based on the Fourier Continuation procedure introduced recently by Bruno and co–authors. This is a spatially dispersionless and high order method, which can handle arbitrary geometries, including those encountered in the forward model of light transport in optical tomography. We validate our theoretical results by comparison with analytic and experimental outcomes of the fluence measurements on tissue-like phantoms. The method makes it possible to calculate the time of flight of photons in random media efficiently and with high accuracy.

Additional Information

© 2019 Published by Elsevier Ltd. Received 14 March 2019, Revised 1 July 2019, Accepted 27 July 2019, Available online 28 July 2019.

Additional details

Created:
August 19, 2023
Modified:
October 18, 2023