Hybrid model for photon propagation in random media based on the radiative transfer and diffusion equations
Hybrid model for photon propagation in random media based on the radiative transfer and diffusion equations
复制标题
基于辐射传输和扩散方程的随机介质中光子传播的混合模型
DOI：
10.1117/12.2019914
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
S. Kohno
中科院分区：
文献类型：
--
作者：
H. Fujii;Y. Hoshi;S. Okawa;T. Kosuge;S. Kohno
为了改进漫反射光学层析成像技术，人们需要一个数值模型来准确、高效地计算光子传播。因此，在本文中，我们基于辐射传输方程(RTE)和扩散方程(DE)在时间域中构造了边界折射率失配情况下的混合模型。首先，确定了RTE和DE区域之间的虚拟界面，该界面以长度尺度ρDA为特征。通过比较基于RTE计算的注量率和基于DE计算的注量率，我们估计ρDA为~10/μt，其中μt表示消光系数。接下来，我们通过分析ρDA外部区域的注量率，确定了表示DE罗宾边界条件下反射率的系数。然后，利用行列式构造了混合模型。在整个介质范围内，基于该混合算法的通量率与基于RTE的通量率是一致的，并且有效地降低了计算量。
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 ρDA. By comparing the fluence rate calculated based on the RTE to that on the DE, we estimate ρDA at ~10/μt, where μt 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 ρDA. 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.
lp稀疏正则化提高时域漫射光学层析成像的图像质量
影响因子：
3.4
作者：
S Okawa;Y Hoshi;Y Yamada
通讯作者：
Y Yamada