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 <i>ρ</i><sub>DA</sub>. By comparing the fluence rate calculated based on the RTE to that on the DE, we estimate <i>ρ</i><sub>DA</sub> at ~10/<i>μ</i><sub>t</sub>, where <i>μ</i><sub>t</sub> 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 <i>ρ</i><sub>DA</sub>. 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.
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