Solutions of the differential equations for the diffuse components of the four-flux model are obtained, including explicit expressions for the collimated-diffuse and diffuse-diffuse reflectance and transmittance for an optical three-layer system. We establish a method to invert collimated-diffuse reflectance and transmittance in order to obtain the spectral variation of all average pathlength parameters and forward scattering ratios, by applying a spectral simulated annealing method. The inversion procedure was tested with synthetic collimated-diffuse reflectance and transmittance spectra and showed very good convergence. Subsequently, the method was applied to measured spectra of a light scattering and absorbing medium containing TiO₂ particles in a low-absorbing matrix, which was enclosed between two glass slides. Hence the present paper, together with our previous one, wherein we inverted collimated-collimated reflectance and transmittance spectra to obtain scattering and absorption coefficients, establishes a reliable inversion method for obtaining all parameters in the most general version of the four-flux theory from experimental data.

获得了四通量模型漫反射分量的微分方程的解，包括光学三层系统的准直漫反射和漫漫反射率和透射率的显式表达式。我们建立了一种通过应用光谱模拟退火方法来反演准直漫反射率和透射率的方法，以获得所有平均光程参数和前向散射率的光谱变化。反演程序用合成准直漫反射和透射光谱进行了测试，并显示出非常好的收敛性。随后，将该方法应用于含TiO ₂的光散射和吸收介质的光谱测量。低吸收基质中的颗粒，该基质被封闭在两个载玻片之间。因此，本文连同我们之前的一篇论文，其中我们反演了准直-准直反射和透射光谱以获得散射和吸收系数，建立了一种可靠的反演方法，用于从实验中获得最通用的四通量理论版本中的所有参数。数据。