On one simple and analytical 'photon-migration' solution in 1-D light scattering theory and its consequences for the laser medical diagnostic problems

摘要

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 to solve the important modeling 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, in this report the analytical solution of 1-D pure scattering task with the use of the Markov processes formalism is presented. Some consequences of that for the general light scattering theory and for the noninvasive medical diagnostic problems are discussed as well. For instance, this solution can predict an enhanced value of the experimentally 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 media and a low level power of the laser our result can predict the appearing of additional spectra of the tissue's output signal which can be wrong interpreted like a conventional Doppler spectrum.