Light diffusion in N-layered turbid media: steady-state domain
Light diffusion in N-layered turbid media: steady-state domain
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DOI：
10.1117/1.3368685
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发表时间：
2010-03-01
影响因子：
3.5
通讯作者：
Kienle, Alwin
中科院分区：
文献类型：
--
作者：
Liemert, Andre;Kienle, Alwin
我们处理N层混浊介质中的光漫射。对于具有有限或无限厚的第N层的N层混浊介质，求解了稳态扩散方程。在层中考虑不同的折射率。傅里叶变换的形式主义，在傅里叶空间中导出的注量率的解析解。使用四种不同的方法计算傅里叶逆变换，以测试它们的性能和精度。为了避免数值误差，推导了傅立叶空间的近似公式.计算N层混浊介质的空间分辨反射率和透射率的快速解决方案（近似10 ms），具有较小的相对差异（
We deal with light diffusion in N-layered turbid media. The steady-state diffusion equation is solved for N-layered turbid media having a finite or an infinitely thick N'th layer. Different refractive indices are considered in the layers. The Fourier transform formalism is applied to derive analytical solutions of the fluence rate in Fourier space. The inverse Fourier transform is calculated using four different methods to test their performance and accuracy. Further, to avoid numerical errors, approximate formulas in Fourier space are derived. Fast solutions for calculation of the spatially resolved reflectance and transmittance from the N-layered turbid media (approximate to 10 ms) with small relative differences (