- SINGULAR OPTICS
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 and orbit-orbit interaction in laser beams; The formation and separation of optical vortices in complex beams; 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.
- INFORMATIONAL OPTICS
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.
- PHOTONICS AND DIGITAL HOLOGRAPHY
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; Fine holography (physical and digital methods); Holographic technologies in biology and medicine; The use of coherent – optical methods in the diagnosis of deformations, damage and residual life; Hologram optical elements; Photographic materials, media for recording holograms; Technology of protective holograms; Holography and education; Luminescent materials and technologies; Photonics of promising materials; Spectroscopy of quantum dots and single molecules; Optical properties of metamaterials.