Yu. Ya. Tomka

Investigation of 2D Mueller matrix structure of biological tissues for pre-clinical diagnostics of their pathological states

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.

2-D tomography of biotissue images in pre-clinic diagnostics of their pre-cancer states

The correlation structure of 2-D Stokes vector parameters of physiologically normal and pathologicaly changed biotissues is investigated. The totality of diagnostically urgent interconnections between biotissue physiological state and statistical moments of 2-D Stokes vector parameters is found.

Complex degree of mutual anisotropy of extracellular matrix of biological tissues

We study the possibility of the differentiation of optical anisotropy properties of biological tissues in different physiological states by means of statistical analysis of coordinate distributions of a new analytical parameter, the complex degree of mutual anisotropy of a network of birefringent filament-like protein crystals.

Polarization Selection Of Two-Dimensional Phase-Inhomogeneous Birefringence Images Of Biotissues

Specific features of the formation of local and statistical polarization structures of laser radiation scattered in phaseinhomogeneous layers of biological tissue were studied. The distribution of azimuth and eccentricity of boundary field polarization was found to correlate with the orientation-phase structure of phase-inhomogeneous layers. A method of polarization phase reconstruction of biological tissue architectonics was suggested.

Polarization-singular structure of laser images of stratified phase-inhomogeneous layers for the diagnostics and classification of their optical properties

Presented in this work are the results of investigation aimed at analysis of coordinate distributions for azimuths and ellipticity of polarization (polarization maps) in laser images of three types of phase-inhomogeneous layers, namely: rough, ground and bulk scattering layers. To characterize polarization maps for all the types of phase-inhomogeneous layers, the authors have offered to use three groups of parameters: statistical moments of the first to the fourth orders, autocorrelation functions and logarithmic dependences for power spectra related to distributions of azimuths and ellipticity of polarization inherent to phase-inhomogeneous layers laser images. Ascertained are the criteria for diagnostics and classification of phase-inhomogeneous layers optical properties.

Fractal structure of biotissue polarization properties

The interconnection between geometry of biotissue structure with their polarization properties has been studied. It has been shown that for physiologically normal biotissues polarization properties of radiation scattered on architectonic nets formed by protein fibrils possess the fractal character. Pathological changes of biotissues architectonics are accompanied with the transformation of self-similar structure of Mueller-matrix images into stochastic and statistic ones.

The interconnection between the coordinate distribution of Mueller-matrixes images characteristics values of biological liquid crystals net and the pathological changes of human tissues

The paper deals with investigating the processes of laser radiation transformation by biological crystals networks using the singular optics techniques. The results obtained showed a distinct correlation between the points of “characteristic” values of coordinate distributions of Mueller matrix (Mik = 0, ±1 ) elements and polarization singularities (L- and C-points) of laser scattering field.

Polarization speckle-reconstruction of biological tissues architectonics: Part 1. Polarization correlometry of birefringence architectonics: singular approach

The interconnection between topological and statistic (correlation) approaches in the description of mechanisms of forming polarization inhomogeneity of the biological objects images have been discovered.

Polarization phase reconstruction of biological tissue architectonics: Part 3. Polarizing-correlative processing of images of statistical objects in the problem of visualization and topology reconstruction of their phase heterogeneity

The interconnection between geometry of biotissue structure with their polarization properties has been studied. It has been shown that for physiologically normal biotissues polarization properties of radiation scattered on architectonic nets formed by protein fibrils possess the fractal character. Pathological changes of biotissues architectonics are accompanied with the transformation of self-similar structure of Mueller-matrix images into stochastic and statistic ones.

Polarization phase reconstruction of biological tissue architectonics: Part 2. Study of polarizing intercorrelative function of coherent images of phase-inhomogeneous layer anisotropy

The correlation structure of 2-D Stokes vector parameters of physiologically normal and pathologicaly changed biotissues is investigated. The totality of diagnostically urgent interconnections between biotissue physiological state and statistical moments of 2-D Stokes vector parameters is found.