Kim Arnold D
School of Natural Sciences, University of California, Merced, 5200 North Lake Road, Merced, California 95343, USA.
J Opt Soc Am A Opt Image Sci Vis. 2011 Jun 1;28(6):1007-15. doi: 10.1364/JOSAA.28.001007.
The diffusion approximation to the radiative transport equation applies for light that has propagated deeply into an optically thick medium, such as biological tissue. It does not accurately model light near boundaries where measurements of scattered light are often taken. Here, we compute a correction to the diffusion approximation at the boundary. This correction requires only small modifications to the standard diffusion approximation used in biomedical optics. In particular, one needs only to compute the coefficients in the boundary condition for the diffusion approximation and an additive correction. We give explicit procedures for these computations. Using numerical results for the steady-state plane-parallel slab problem, we show that this corrected diffusion approximation is a much better approximation than the standard diffusion approximation for modeling the reflectance and transmittance.
辐射传输方程的扩散近似适用于已深入传播到光学厚介质（如生物组织）中的光。它不能准确模拟通常进行散射光测量的边界附近的光。在此，我们计算边界处扩散近似的修正。这种修正只需对生物医学光学中使用的标准扩散近似进行微小修改。具体而言，只需计算扩散近似边界条件中的系数和一个附加修正。我们给出了这些计算的明确步骤。利用稳态平面平行平板问题的数值结果，我们表明这种修正后的扩散近似在模拟反射率和透射率方面比标准扩散近似要好得多。
