Over the past 30 years, physical optics has been enriched by the appearance of singular
optics as a new branch approved in scientific classifiers. This review briefly outlines the main …

The review describes the principles and examples of practical realization of diagnostic
approaches based on the coherence theory, optical singularities and interference …

This research is aimed to investigate the reliability of Mueller‐matrix differentiation of
birefringence change of optically thick layers of biological liquid crystals at the early stages …

We have theoretically grounded conceptions of characteristic points observed in coordinate
distributions of Mueller matrix elements for a network of human tissue biological crystals …

A model of generalized optic anisotropy of the fibrillar protein matrices has been suggested
and the method of Fourier polarimetry for the parameters of linear and circular birefringence …

The possibilities of the local wavelet-analysis of polarization-inhomogeneous laser image of
human blood plasma were considered. The set of statistics, correlation and fractal …

We introduce the singular-optics approach for classification of rough surfaces with large-
scale inhomogeneities into random and fractal surfaces. The maps of amplitude zeros of a …

Algorithms for reconstruction of linear and circular birefringence-dichroism of optically thin
anisotropic biological layers are presented. The technique of Jones-matrix tomography of …

The multifractal description of rough surfaces is discussed and the mechanisms for
generation of fractal and multifractal height distributions of inhomogeneities for rough …

We propose a new approach of using carbon nanoparticles for correlation optical
diagnostics of а complex scalar optical field created by scattering and diffraction of radiation …