Complex Degree Of Mutual Polarization Research Articles

Differential diagnostics of the formation of hemorrhases of traumatic genesis, brain infarction of ischemic and hemorrhagic genesis by the method of the mapping of complex degree of mutual polarization

Differential diagnostics of the formation of hemorrhases of traumatic genesis, brain infarction of ischemic and hemorrhagic genesis by the method of the mapping of complex degree of mutual polarization

Discriminating randomly polarized fields.

We introduce the scalar average similarity of an ensemble of randomly polarized states. This global measure is based on the complex degree of mutual polarization between any pair of vector fields in the ensemble. We show that, in the case of fully correlated and globally unpolarized fields, the variation of this parameter is bounded, and its value can effectively discriminate between different configurations of pure states.

POST-MORTEM INTERVAL ESTIMATION USING POLYCRYSTALLINE CEREBROSPINAL FLUID FILMS TWO-DIMENSIONAL CARTOGRAPHY OF MUTUAL LASER POLARIZATION DISTRIBUTION LEVELS

Post-mortem interval estimation is one of the most important issues in forensic practice. Optical diagnostic methods of biological tissue structure assessment are perspective in this area.The objects of investigation are polycrystalline films of cerebrospinal fluid, taken from 64 corpses with accurately known times of death and 15 healthy volunteers.The method of two-dimensional stokes-polarimetric mapping of distributions of a complex degree of mutual polarization with spatial-frequency filtration of microscopic images of cerebrospinal fluid films in the time monitoring of post-mortem changes in optical manifestations of polycrystalline networks has been tested in order to estimate the post-mortem interval. The most sensitive post-mortem changes in the optical manifestations of polycrystalline cerebrospinal fluid networks are revealed - statistical moments of the third and fourth orders that characterize the asymmetry and the excess (severity of the peak) of the distributions of values of the complex degree of mutual polarization of large-scale components of cerebrospinal fluid polycrystalline films microscopic images.An interval of 48 hours with the accuracy of the post-mortem interval estimation in ± 30 minutes were established by the method of two-dimensional mapping of distributions of the values of a complex degree of mutual polarization of large-scale component of cerebrospinal fluid films microscopic images.

The effect of ethyl alcohol on accuracy of time since death estimation using laser poliarimetric methods of cerebrospinal liquid polyristallic films investigation

The article analyzes the possibility of using laser polarimetry methods to determine the possible influence of ethyl alcohol in the body of the deceased on the change in the structure of the polycrystalline films of the cerebrospinal fluid. The efficiency of usage laser polarimetry methods (determination of complex degree of mutual polarization and autofluorescence of polycrystalline films of cerebrospinal fluid) have been proved.
 Relationships between the distribution of the intensity of the fluorescence of polycrystalline films of the cerebrospinal fluid of the cadavers as a result of cardiovascular pathology in the presence and absence of ethyl alcohol in the organism and the values and ranges of the change of statistical moments of the 1st - 4th orders that characterize such autofluorescence images are investigated. A good level of balanced differentiation of the presence of ethyl alcohol in the human body in the «green-yellow» and «red» sections of the spectrum has been achieved. There is a statistically significant difference between cases of death from cardiovascular disease in the presence and absence of ethyl alcohol in an organism by determining the magnitude of the statistical moment of the 4th order, which characterizes the distributions of the azimuth magnitude of the polarization of microscopic images of laser-induced fluorescence.
 On this basis, an excellent balanced accuracy of the differentiation of the presence of ethyl alcohol in the human body (Ac (M4) = 94%) has been achieved. Consequently, ethyl alcohol affects the structure of polycrystalline films of cerebrospinal fluid, which should be taken into account when time since death estimated using methods of laser polarimetry.

NEW PARAMETER FOR DESCRIBING AND ANALYZING THE OPTICAL-ANISOTROPIC PROPERTIES OF BIOLOGICAL TISSUES

To characterize the degree of similarity inherent to parameters of the optically uniaxial birefringent protein-fibril networks of biological tissues, a new parameter — complex degree of mutual anisotropy — has been offered. The technique of polarization measuring the coordinate distributions of the complex degree of mutual anisotropy of biological tissues has been developed. It has been shown that statistical approach to the analysis of complex degree of mutual anisotropy distributions for biological tissues in various morphological and physiological states and for different optical thicknesses appears to be more sensitive and efficient in differentiation of physiological state, as compared to investigations of complex degree of mutual polarization in the corresponding laser images.

Complex degree of coherency inherent to laser images of blood plasma polycrystalline networks

Given in this paper are theoretical basics for correlation-phase analysis of laser images inherent to human blood plasma. Also presented are comparative results of measurements aimed at coordinate distributions of the module of complex degree of coherency (CDC) and complex degree of mutual polarization (CDMP) of laser images describing blood plasma of a healthy person as well as of a patient with prostate cancer of the first stage. The authors investigated both values and ranges of changing the statistical (moments of the first to fourth orders), correlation (coefficients of the Gramm- Charlie expansion for autocorrelation functions) and fractal (slopes and dispersion of extremes for logarithmic dependences of power spectra) parameters for coordinate distributions CDC and CDMP. Determined are objective criteria for diagnostics of cancer changes in blood plasma of a patient with cancer.

Complex degree of mutual polarization in randomly scattered fields

Random electromagnetic fields resulting from light-matter interaction have strong intensity fluctuations and are characterized by various statistical parameters. The local polarization of these fields can also vary randomly leading to different degrees of global depolarization. Here we demonstrate that the spatial variability of the vectorial properties contains information about the origins of randomly scattered fields. In particular, we show that the complex degree of mutual polarization provides the high-order polarization correlations necessary to identify the sources of different random fields. Scattered fields with similar global properties but different origins can be efficiently discriminated from one single realization of the light-matter interaction.

The Degree of Mutual Anisotropy of Biological Liquid Crystals Net during the Diagnostics of Human Tissues Birefringence

To characterize the degree of consistency of parameters of the optically uniaxial birefringent liquid crystals (protein fibrils) nets of biological tissues a new parameter-complex degree of mutual anisotropy is suggested. The technique of polarization measuring the coordinate distributions of the complex degree of mutual anisotropy of biological tissues is developed. It is shown that statistic approach to the analysis of complex degree of mutual anisotropy distributions of biological tissues of various morphological and physiological states and optical thicknesses appears to be more sensitive and efficient in differentiation of physiological state in comparison with investigations of complex degree of mutual polarization of the corresponding laser images.

Investigation of the correlation structure of biological tissue polarization images during the diagnostics of their oncological changes

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.

Complex degree of mutual polarization of biological tissue coherent images for the diagnostics of their physiological state

This is the first attempt devoted to the 1st-4th order statistic analysis of the complex degree of mutual polarization of biological tissues coherent images. The ensemble of diagnostic criteria (skewness and kurtosis of two-dimensional distributions of complex degree of mutual polarization) of pathological changes of muscular and connective (skin derma) tissues is defined.

Polarization-correlation mapping of biological tissue coherent images

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.

Complex degree of mutual polarization.

Starting from the concepts of coherence and polarization, we generalize the conventional degree of polarization, introducing a two-point parameter, the complex degree of mutual polarization V, which is defined in terms of measurable quantities. We demonstrate the physical significance of this new quantity for the case of fully correlated, pure states of polarization at the two points, showing that the magnitude of V is a measure of the similarity between the states of polarization at two different points in space.