16 July 2015 Analytical solutions of the radiative transport equation for the reflectance and fluorescence from layered media illuminated by a finite beam
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Abstract
Exact and efficient analytical solutions of the three dimensional radiative transport equation in the spatial frequency, the spatial, the temporal frequency, and time domains were derived for two-layered scattering media. Index mismatched boundary conditions based on Fresnel's equations were implemented and arbitrary rotational symmetric phase functions were applied to characterize the scattering in the turbid media. Solutions were derived for obliquely incident beams having arbitrary spatial profiles. The derived analytical solutions were successfully validated with Monte Carlo simulations and partly compared with analytical solutions of the diffusion equation for two-layered scattering media.
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André Liemert, André Liemert, Alwin Kienle, Alwin Kienle, } "Analytical solutions of the radiative transport equation for the reflectance and fluorescence from layered media illuminated by a finite beam", Proc. SPIE 9538, Diffuse Optical Imaging V, 95380D (16 July 2015); doi: 10.1117/12.2183757; https://doi.org/10.1117/12.2183757
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