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

Aki Pulkkinen; Tanja Tarvainen

doi:10.1117/12.2032373

14 June 2013 Approximating the time-domain radiative transfer equation using truncated Fourier series

Aki Pulkkinen, Tanja Tarvainen

Proceedings Volume 8799, Diffuse Optical Imaging IV; 87990U (2013) https://doi.org/10.1117/12.2032373
Event: European Conferences on Biomedical Optics, 2013, Munich, Germany

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.

Citation Download Citation

Aki Pulkkinen and Tanja Tarvainen "Approximating the time-domain radiative transfer equation using truncated Fourier series", Proc. SPIE 8799, Diffuse Optical Imaging IV, 87990U (14 June 2013); https://doi.org/10.1117/12.2032373

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available