A hybrid radiative-transfer–diffusion model for optical tomography is proposed. The light propagation is modeled with the radiative-transfer equation in the vicinity of the laser sources, and the diffusion approximation is used elsewhere in the domain. The solution of the radiative-transfer equation is used to construct a Dirichlet boundary condition for the diffusion approximation on a fictitious interface within the object. This boundary condition constitutes an approximative distributed source model for the diffusion approximation in the remaining area. The results from the proposed approach are compared with finite-element solutions of the radiative-transfer equation and the diffusion approximation and Monte Carlo simulation. The results show that the method improves the accuracy of the forward model compared with the conventional diffusion model.
© 2005 Optical Society of America
Original Manuscript: December 11, 2003
Revised Manuscript: September 3, 2004
Manuscript Accepted: October 13, 2004
Published: February 20, 2005
Tanja Tarvainen, Marko Vauhkonen, Ville Kolehmainen, and Jari P. Kaipio, "Hybrid radiative-transfer–diffusion model for optical tomography," Appl. Opt. 44, 876-886 (2005)