Fundamentals of singular optics; Principles of quantum singular optics; Propagation of singular beams in free space, crystals, optical fibers; Optics of Polarization Singularities; Spin-orbit interaction in laser beams; The vortex-division multiplexing systems in a communication medium; Optical vortices in turbulent environments; Singular near-field optics; Sensors of physical quantities based on optical vortices.
DIFFRACTION OPTICS, OPTICAL TECHNOLOGY
Diffraction optics; Digital singular optics; Nanophotonics and optics of nanostructures; Digital signals and images processing; Optical communication based on singular beams; Microscopy and adaptive optics of singular beams; Biomedical and industrial applications.
Mathematical techniques in the pattern recognition theory; Optical techniques for obtaining and processing images; Information processing based on optical vortices; Geographic Information Technologies; Information encryption, decryption and protection, including quantum cryptography; Methods of digital singular optics; Hyper-spectral data analysis; Numerical methods of computer optics; Information technology and nanotechnology.
HOLOGRAPHY, COHERENT OPTICS AND PHOTONICS
Theoretical methods of optical holography and analysis of the properties of holograms; Digital image processing; New methods of holographic and speckle interferometry; Speckle correlation methods; Visual holography (physical and digital methods); Holographic technologies in biology and medicine; Application of coherent — optical methods in the diagnosis of deformations, damages and residual life; Hologram optical elements; Photo materials, media for hologram registration; Security hologram technology; Holography and education; Luminescent materials and technologies; Photonics of Advanced Materials; Spectroscopy of quantum dots and single molecules; Optical properties of metamaterials.
PHOTONICS AND LASER SPECTROSCOPY Coherent processes of interaction of optical radiation with matter and optical materials. Problems of theoretical and experimental laser spectroscopy of atoms, molecules and condensed matter. Non-linear optics and laser physics.