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Proceedings Paper

Analytical solutions of the radiative transport equation for the reflectance and fluorescence from layered media illuminated by a finite beam
Author(s): André Liemert; Alwin Kienle
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Paper 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.

Paper Details

Date Published: 16 July 2015
PDF: 4 pages
Proc. SPIE 9538, Diffuse Optical Imaging V, 95380D (16 July 2015); doi: 10.1117/12.2183757
Show Author Affiliations
André Liemert, Institut für Lasertechnologien in der Medizin und Meβtechnik (Germany)
Alwin Kienle, Institut für Lasertechnologien in der Medizin und Meβtechnik (Germany)

Published in SPIE Proceedings Vol. 9538:
Diffuse Optical Imaging V
Hamid Dehghani; Paola Taroni, Editor(s)

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