Coupled radiative transfer equation and diffusion approximation

Tanja Tarvainen; Marko Vauhkonen; Ville Kolehmainen; Jari P. Kaipio

doi:10.1117/12.632886

7 October 2005 Coupled radiative transfer equation and diffusion approximation

Tanja Tarvainen, Marko Vauhkonen, Ville Kolehmainen, Jari P. Kaipio

Author Affiliations +

Proceedings Volume 5859, Photon Migration and Diffuse-Light Imaging II; 58591N (2005) https://doi.org/10.1117/12.632886
Event: European Conferences on Biomedical Optics 2005, 2005, Munich, Germany

Abstract

A coupled radiative transfer equation and diffusion approximation model for photon migration in tissues is proposed. The light propagation is modeled with the radiative transfer equation in sub-domains in which the assumptions of the diffusion approximation are not valid and the diffusion approximation is used elsewhere in the domain. The coupled equations are solved using the finite element method. The proposed method is tested with simulations. The results of the coupled radiative transfer equation and diffusion approximation model are compared with the finite element solutions of the radiative transfer equation and the diffusion approximation. The results show that the coupled radiative transfer equation and diffusion approximation model can be used to describe photon migration in tissues more accurately than the conventional diffusion model.

Citation Download Citation

Tanja Tarvainen, Marko Vauhkonen, Ville Kolehmainen, and Jari P. Kaipio "Coupled radiative transfer equation and diffusion approximation", Proc. SPIE 5859, Photon Migration and Diffuse-Light Imaging II, 58591N (7 October 2005); https://doi.org/10.1117/12.632886

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