25 March 2013 Light transport in biological media: analytical solutions, simulations, and experiments
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Abstract
The light transport in biological media is studied theoretically and experimentally. We derived exact analytical solutions of the radiative transfer equation for the semi-infinite scattering medium. Arbitrary rotationally symmetric anisotropic scattering functions can be handled. The exact boundary conditions within the transport theory were implemented including Fresnel-reflection at mismatched interfaces. The analytical solutions of the reflectance from the scattering medium were verified with the Monte Carlo method showing an agreement within the statistics of the simulations. In addition, the analytical solutions were compared to solutions of the diffusion equation and to experiments, e.g. to spatially resolved reflectance measurements. Experiments were performed with optically well-characterized liquid tissue phantoms. The use of the analytical solutions and the Monte Carlo simulations was investigated for determining the optical properties of the scattering media.
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A. Kienle, A. Kienle, A. Liemert, A. Liemert, F. Foschum, F. Foschum, } "Light transport in biological media: analytical solutions, simulations, and experiments", Proc. SPIE 8578, Optical Tomography and Spectroscopy of Tissue X, 857812 (25 March 2013); doi: 10.1117/12.2002031; https://doi.org/10.1117/12.2002031
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