Hybrid model for photon propagation in random media based on the radiative transfer and diffusion equations

H. Fujii; Y. Hoshi; S. Okawa; T. Kosuge; S. Kohno

doi:10.1117/12.2019914

25 March 2013 Hybrid model for photon propagation in random media based on the radiative transfer and diffusion equations

H. Fujii, Y. Hoshi, S. Okawa, T. Kosuge, S. Kohno

Author Affiliations +

Proceedings Volume 8578, Optical Tomography and Spectroscopy of Tissue X; 857835 (2013) https://doi.org/10.1117/12.2019914
Event: SPIE BiOS, 2013, San Francisco, California, United States

Abstract

For improvement of diffuse optical tomography, one needs a numerical model to compute photon propagation accurately and efficiently. Thus, in the paper, we construct a hybrid model based on the radiative transfer equation (RTE) and diffusion equation (DE) in the time domain under the refractive-index-mismatching at boundary. At first, a fictive interface between the RTE and DE regions is determined, which is characterized by a length scale ρ_DA. By comparing the fluence rate calculated based on the RTE to that on the DE, we estimate ρ_DA at ~10/μ_t, where μ_t denotes the extinction coefficient. Next, we determine a coefficient representing the reflectivity in the Robin boundary condition of the DE by analyzing the fluence rates in the domain outside ρ_DA. Then, the hybrid model is constructed by using the determinations. The fluence rates based on this hybrid algorithm is consistent with those on the RTE in a whole range of the medium and computational costs are reduced efficiently.

Citation Download Citation

H. Fujii, Y. Hoshi, S. Okawa, T. Kosuge, and S. Kohno "Hybrid model for photon propagation in random media based on the radiative transfer and diffusion equations", Proc. SPIE 8578, Optical Tomography and Spectroscopy of Tissue X, 857835 (25 March 2013); https://doi.org/10.1117/12.2019914

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KEYWORDS

Diffusion

Scattering

Radiative transfer

Refractive index

Solids

Interfaces

Diffuse optical tomography

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