Wavelet analysis of Jones-matrix images corresponding to polycrystalline networks of biological crystals in diagnostics of tuberculosis

Abstract

Determined in this work are analytical interrelations between orientations of optical axes and birefringence of biological crystals as well as characteristic values of elements in the Jones matrix for flat layers of polycrystalline networks, which determine conditions for formation of polarization singularities in laser images. Performed is a complex statistical, correlation and fractal analysis of distributions for the amount of characteristic values inherent to the Jones matrix elements describing layers of saliva taken from a healthy patient and that sick with tuberculosis. The authors have ascertained objective criteria to differentiate optical properties of polycrystalline networks of human saliva in various physiological states. Offered is Jones-matrix diagnostics of tuberculosis.