Phase maps of polycrystalline human biological fluids networks: statistical, correlation, and fractal analysis

Abstract

The complex statistical and fractal analysis of phase properties, inherent to birefringence networks of liquid crystals consisting of optically-thin layers, prepared from synovial fluid taken from human joints, is performed in this work. Within the framework of a statistical approach, the authors have investigated values and ranges for changes of statistical moments of the 1-st to the 4-th orders that characterize coordinate distributions for phase shifts between orthogonal components of amplitudes inherent to laser radiation, transformed by synovial fluid layers, for human joints with various pathologies. The correlation criteria for differentiation of phase maps, describing pathologically changed liquid-crystal networks, have been ascertained. In the framework of the fractal approach, dimensions of self-similar coordinate phase distributions as well as features of transformation of logarithmic dependences for power spectra of these distributions for various types of human joint pathologies are determined.

Interference forming of transmission by polymer dispersed liquid crystals

“…In view of this, there is strong need of non-destructive methods for the structural studies of this system. In the present paper we show that methods of correlation optics, earlier approbated for another objects 3,4,9,10,13,14 , are rather useful for this purpose. Considering LC-P composite as a random phase screen these methods deal with a phase correlation function (PCF) of this screen.…”

The method of polarization selection of laser images in diagnostics of polycrystalline structure of human bile layers

“…Among the methods of optical diagnostics of human biological tissues the techniques of laser polarimetry diagnostics of their optical anisotropic structure became widely spread [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] .…”