期刊
JOURNAL OF MODERN OPTICS
卷 68, 期 12, 页码 605-623出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/09500340.2021.1936244
关键词
Four-flux model; radiative transfer; light scattering; simulated annealing; diffuse reflection; diffuse transmission
类别
The paper presents an inversion method for the differential equations of the diffuse components of the four-flux model in an optical three-layer system, which was tested with synthetic spectra to show its reliability.
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.
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