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1 July 2004 On one simple and analytical photon-migration solution in 1D light-scattering theory and its consequences for the laser medical diagnostic problems
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Abstract
It is well known that the exact and analytical theoretical solution of any physical tasks can be a powerful instrument for the analysis. But it is well known too, that in the general light transport and scattering theories, which are always used in different laser medical applications, there are only few exact and analytical approaches exist to solve the important model tasks. It can be shown that the conventional mathematic theory of the Markov processes can also provide some exact and analytical solutions for a number of practically important cases. As an example the analytical solution of 1-D pure scattering task using the Markov processes formalism is presented. Some consequences of that for the general scattering theory and for the noninvasive medical diagnostic problems are discussed as well. For instance, this solution can predict an enhanced value of the experimental estimated transport scattering coefficient if the thin sample of biotissue is used. For the laser Doppler medical flowmetry in the case of a strong scattering and a low level power of laser our result can predict the appearing of additional spectra into the tissue’s output signals which can be wrong interpreted like a conventional Doppler spectrum.
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Dmitrii A. Rogatkin and Vladimir V. Tchernyi "On one simple and analytical photon-migration solution in 1D light-scattering theory and its consequences for the laser medical diagnostic problems", Proc. SPIE 5319, Laser Interaction with Tissue and Cells XV, (1 July 2004); https://doi.org/10.1117/12.526072
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