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Proceedings Paper

Non-Euclidean diffusion and Fermat photons in turbid media
Author(s): A. Ya. Polishchuk; Robert R. Alfano
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Paper Abstract

A comprehensive derivation of a Fokker-Planck-type equation for the photon distribution function in a highly forward scattering medium and its exact path integral solution are presented. The solution describes the transition from the ballistic propagation regime to the diffusion-like behavior and leads to a Generalized Fermat Principle (GFP) governing the most favorable photon paths (Sigma) along and near by which the most of photons ('Fermat' photons) propagate. Examples of temporal intensity profile and 'Fermat' photons paths are presented, discussed and compared with the results of standard diffusion model.

Paper Details

Date Published: 30 May 1995
PDF: 4 pages
Proc. SPIE 2389, Optical Tomography, Photon Migration, and Spectroscopy of Tissue and Model Media: Theory, Human Studies, and Instrumentation, (30 May 1995); doi: 10.1117/12.209962
Show Author Affiliations
A. Ya. Polishchuk, CUNY/City College (United States)
Robert R. Alfano, CUNY/City College (United States)


Published in SPIE Proceedings Vol. 2389:
Optical Tomography, Photon Migration, and Spectroscopy of Tissue and Model Media: Theory, Human Studies, and Instrumentation
Britton Chance; Robert R. Alfano, Editor(s)

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