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- Singular optics fundamentals: geometrical, physical and quantum optics
- Digital singular optics
- Vortex-beam propagation in free space, crystals and optical fibers
- Singular beams in photonic crystals
- Polarization singularities
- Orbital angular momentum of laser beams
- Vortex-beams in Information Processing
- Microscopy and Adaptive Vortex-Optics
- Near field processing: quasi-particle vortex states
- Optical Communications in free space and optical fibers, Switching and Networks on the base of phase and vector singularities
- Optical vortices in Cryptology, Medicine and Biology
- Optical technique of vortex generation and vortex selection
- Optical vortices in turbulent media
- Optical vortex Sensors and Instrumentation