The paper deals with the investigation of formation mechanisms of laser radiation polarization structure scattered by an optically thin surface layer of human skin in two registration zones: a boundary field and a far zone of Fraunhofer diffraction. The conditions of forming polarization singularities by such an object in the scattered radiation field have been defined. Statistical and fractal polarization structure of object fields of physiologically normal and pathologically changed skin has been studied. It has been shown that polarization singularities of radiation scattered by physiologically normal skin samples have a fractal coordinate structure. It is characteristic for fields of pathologically changed skin to have a statistical coordinate structure of polarization singularities in all diffraction zones.
The interconnection between the geometry of biological tissue (BT) structure and their polarization properties has been studied. It has been shown that for physiologically normal BT, the polarization properties of radiation scattered on architectonic nets formed by protein fibrils have a fractal character. Pathological changes of BT architectonics are accompanied by the transformation of self-similar structure of 2D Mueller-matrix elements into stochastic and statistic ones.
We have considered the theoretical background of biological tissue complex polarization analysis: (1) polarization mapping; (2) polarization-correlation mapping; (3) polarization correlometry. The technique of interferometric measurements of 2D distributions of the complex degree of mutual polarization of biological tissue images has been proposed. The totality of diagnostically urgent interconnections between the statistical and correlation structure of biological tissue polarization images and the optical-geometrical structure of their architectonics has been determined.
We investigate the statistical polarization parameters of biological tissue histological section images with different morphological structure. First we outline the results of polarization coordinate mapping and analysis of the statistics of the first to fourth orders of biological tissue image polarization azimuth and ellipticities. Second, we study the statistics of the first to fourth orders of coordinate distributions of the complex degree of mutual polarization (CDMP) of biological tissue images. Finally, we consider the diagnostic possibilities of investigating 2-D distributions of CDMP of images that correspond to physiologically normal and degeneratively and/or dystrophycally changed biological tissues that are being analyzed.
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