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We obtain the pathlength distribution of detected photons in single fiber reflectance spectroscopy (SFR) from reflectance as a function of absorption coefficient using inverse Laplace transformation. We recently developed a novel model, writing the SFR signal in terms of a semi-ballistic and diffuse component. Here, we study the pathlength distributions of both components; and compare those to the path length distribution corresponding to a previously available empirical model. We will explore possible scaling relationships that follow from the Laplace relation for reflectance and the pathlength distribution in terms of the absorption coefficient, reduced scattering coefficient and fiber diameter.
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Dirk J. Faber, Anouk L. Post, Henricus J. C. M. Sterenborg, Ton G. van Leeuwen, "Pathlength distribution of sub-diffusively reflected light (Conference Presentation)," Proc. SPIE 11238, Optical Interactions with Tissue and Cells XXXI, 112380M (9 March 2020); https://doi.org/10.1117/12.2542810