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Proceedings Paper

Experimental demonstration of a fast analytical method for modeling photon propagation in diffusive media with arbitrary geometry
Author(s): Jorge Ripoll; Vasilis Ntziachristos; Eleftherios N. Economou
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Paper Abstract

Quantitative measurements of diffusive media, in spectroscopic or imaging mode, rely on the generation of appropriate forward solutions, independently on the inversion scheme employed. For complicated boundaries, the use of numerical methods is usually pursued due to implementation simplicity, but this results in great computational needs. Even though some analytical expressions are available, an analytical solution to the diffusion equation that deals with arbitrary volumes and boundaries is needed. We use here an analytical approximation, the Kirchhoff Approximation or the tangent-plane method, and put it to test with experimental data in a cylindrical geometry. We examine the experimental performance of the technique, as a function of the optical properties of the medium and demonstrate how it greatly speeds up the computation time when performing 3D reconstructions.

Paper Details

Date Published: 2 November 2001
PDF: 7 pages
Proc. SPIE 4431, Photon Migration, Optical Coherence Tomography, and Microscopy, (2 November 2001); doi: 10.1117/12.447428
Show Author Affiliations
Jorge Ripoll, Foundation for Research and Technology/Hellas (Greece)
Vasilis Ntziachristos, Massachusetts General Hospital and Harvard Medical School (United States)
Eleftherios N. Economou, Foundation for Research and Technology/Hellas (Greece)

Published in SPIE Proceedings Vol. 4431:
Photon Migration, Optical Coherence Tomography, and Microscopy
Stefan Andersson-Engels; Michael F. Kaschke, Editor(s)

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