Non-Euclidean diffusion and Fermat photons in turbid media

A. Ya. Polishchuk; Robert R. Alfano

doi:10.1117/12.209962

30 May 1995 Non-Euclidean diffusion and Fermat photons in turbid media

A. Ya. Polishchuk, Robert R. Alfano

Proceedings Volume 2389, Optical Tomography, Photon Migration, and Spectroscopy of Tissue and Model Media: Theory, Human Studies, and Instrumentation; (1995) https://doi.org/10.1117/12.209962
Event: Photonics West '95, 1995, San Jose, CA, United States

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.

Citation Download Citation

A. Ya. Polishchuk and Robert R. Alfano "Non-Euclidean diffusion and Fermat photons in turbid media", Proc. SPIE 2389, Optical Tomography, Photon Migration, and Spectroscopy of Tissue and Model Media: Theory, Human Studies, and Instrumentation, (30 May 1995); https://doi.org/10.1117/12.209962

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