MULLER MATRIX IMAGES OF BIOLOGICAL CRYSTAL NETWORKS - Yurii Tomka - Bog

This research explores the optical characterization of biological tissues, distinguishing them as highly scattering (opaque) or weakly scattering (transparent). The focus is on Mueller matrix imaging (MMI), offering detailed polarization information. The goal is to extend traditional photometric methods by incorporating MMI coordinate distributions, providing exhaustive insight into the optical anisotropic component of biological tissues. Correlation and topological analyses aid in statistical and fractal diagnostics of biological crystal networks.Tasks included exploring the relationship between laser-induced phase shifts by birefringent crystals and statistical moments of MMI, differentiation of optical-anisotropic properties through correlation analysis, and identifying topological structures generating polarization singularities in scattered laser radiation.It is established relationships between phase shifts and statistical moments, introducing the degree of mutual correlation of MMI, and unveiling scenarios for topological structures' formation. Wavelet analysis of singular distributions further enables diagnosing local changes in optical and geometric structures.