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Optica Publishing Group
  • Diffuse Optical Imaging IV
  • SPIE Proceedings (Optica Publishing Group, 2013),
  • paper 87990U

Approximating the time-domain radiative transfer equation using truncated Fourier series

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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.

© 2013 SPIE

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