26 June 2007 Improved Kubelka-Munk approach for determination of tissues optical properties in biomedical noninvasive reflectance spectroscopy
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Abstract
The Kubelka-Munk (KM) two-flux light transport one-dimensional (1D) model is, evidently, the most widely used transport theory in biomedical optics because of its simplicity and existence of its clear analytical solution. Moreover, the KM approach is a good approximation of the general radiative transport equation in the case of 1D theoretical tasks. But it is well known that the KM model doesn't allow anyone to obtain an exact solution, especially in cases of highly-absorbing and weakly-scattering media. In the most of publication it is assumed that the light must be diffuse on a surface as well as within the medium for a correct application of the KM equations. However, in our opinion, there is no any reason to separate light radiation on diffuse and collimated components in a simple 1D theoretical model. So, the root of the problem of the model accuracy may be located in a far another field. As we reported in our previous publications more correct results with the use of KM basic approach in some special cases of turbid media can be yielded by means of some modification of original KM equations. In this work we propose a general improvement of 1D two-flux KM model for any cases of scattering and absorbing media to reach an exact analytical solution of any theoretical 1D light propagation and scattering problem in application to biomedical noninvasive reflectance spectroscopy.
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L. G. Lapaeva, L. G. Lapaeva, D. A. Rogatkin, D. A. Rogatkin, } "Improved Kubelka-Munk approach for determination of tissues optical properties in biomedical noninvasive reflectance spectroscopy", Proc. SPIE 6536, Saratov Fall Meeting 2006: Coherent Optics of Ordered and Random Media VII, 65360Z (26 June 2007); doi: 10.1117/12.754012; https://doi.org/10.1117/12.754012
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