Imaging in random media: simulating light transport by numerical integration of the diffusion equation

Regina Model; Rolf Huenlich; D. Richter; Herbert H. Rinneberg; Heidrun Wabnitz; M. Walzel

doi:10.1117/12.200818

31 January 1995 Imaging in random media: simulating light transport by numerical integration of the diffusion equation

Regina Model, Rolf Huenlich, D. Richter, Herbert H. Rinneberg, Heidrun Wabnitz, M. Walzel

Proceedings Volume 2326, Photon Transport in Highly Scattering Tissue; (1995) https://doi.org/10.1117/12.200818
Event: International Symposium on Biomedical Optics Europe '94, 1994, Lille, France

Abstract

For solving the inverse problem in optical tomography, the simulation of light transport in highly scattering media under realistic conditions is a prerequisite. In this contribution we study both theoretically and experimentally the transport of photons in highly scattering media following injection of ultrashort laser pulses. The diffusion equation has been integrated by a two-dimensional finite element method (FEM). For comparison with FEM results, time- resolved transmittance was measured in such a way to effectively simulate a two-dimensional geometry. For the reconstruction of the interior structure an iterative method based on the FEM forward model is introduced. Using the full information contained in the time-resolved measurements, the number of sources and detectors necessary for reconstruction of inhomogeneities in optical properties can be reduced considerably. The effectiveness of the algorithm is demonstrated by some instructive examples.

Citation Download Citation

Regina Model, Rolf Huenlich, D. Richter, Herbert H. Rinneberg, Heidrun Wabnitz, and M. Walzel "Imaging in random media: simulating light transport by numerical integration of the diffusion equation", Proc. SPIE 2326, Photon Transport in Highly Scattering Tissue, (31 January 1995); https://doi.org/10.1117/12.200818

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