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Proceedings Paper

Approximating the time-domain radiative transfer equation using truncated Fourier series
Author(s): Aki Pulkkinen; Tanja Tarvainen
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Paper Abstract

The radiative transfer equation describes propagation of light in scattering media. It is widely used model, with applications in medical imaging, astronomy and atmospheric sciences to name a few. Simulating the radiative transfer equation in time-domain is, however, time consuming. In this work truncated Fourier series approximation is used to approximate the solution of the time-domain radiative transfer equation. Method is validated by comparison to direct temporal integration of the radiative transfer equation and time-domain Monte Carlo. Computational speedup is observed using the truncated Fourier series approximation in comparison to the direct temporal integration approach. Different simulation errors associated with the truncated Fourier series approximation and direct time-domain integration approaches are briefly demonstrated.

Paper Details

Date Published: 14 June 2013
PDF: 8 pages
Proc. SPIE 8799, Diffuse Optical Imaging IV, 87990U (14 June 2013); doi: 10.1117/12.2032373
Show Author Affiliations
Aki Pulkkinen, Univ. of Eastern Finland (Finland)
Tanja Tarvainen, Univ. of Eastern Finland (Finland)
Univ. College of London (United Kingdom)

Published in SPIE Proceedings Vol. 8799:
Diffuse Optical Imaging IV
Paola Taroni; Hamid Dehghani, Editor(s)

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