Nonlinear photonics for all-optical information technologies
The proposed work will be a multidisciplinary collaborative effort between research groups from Qatar, China, and Europe. It involves theoretical, numerical, and experimental study in physical science. We aim at developing novel concepts of nonlinear photonics for all-optical information technologies. It will be a renewed project that continues on the activites of the project from NPRP cycle 3 that won the QNRF Award in 2014. The project will deal with the following topics: 1) Propagation and interaction of laser beams in nonlinear, nonlocal, inhomogeneous, and dissipative media, in the form of light bullets, vortices, spatial solitons, and localized wave packets. The media include but are not limited to distributed fibers, photonic crystals, metamaterials, Bose-Einstein condensates, optically induced lattices, fs-laser written waveguide arrays, inhomogeneously doped active materials, and dispersion-managed systems. Analytical and numerical solution of partial differential equations in (2+1) and (3+1) dimensions, describing propagation of the above-mentioned beams in the above-mentioned media. The equations of interest include but are not limited to the generalized nonlinear Schrodinger, Gross-Pitaevskii, and complex Ginzburg-Landau equations with distributed coefficients, and the vectorial coupled coherent and incoherent Manakov systems. Stability analysis of the obtained solutions, concerning possible modulational and structural instabilities, as well as the wave collapse. Validation of our results by experiment. 2) Theoretical and experimental confinement and manipulation of copropagating and counterpropagating surface waves and modes at the edges, corners, surfaces, defects, and interfaces in 1D, 2D, and 3D composite materials (metamaterials, plasmonic, photorefractive, and photonic crystals, including longitudinally periodic photonic crystals and waveguide arrays). 3) Solid-state-like nonlinear phenomena of great importance in optical processes that take place in photonic crystals, that is periodic optical structures. These systems include topological insulators, Talbot carpets, induced optical lattices of different symmetry, Anderson localization, PT-symmetric optical systems, Bloch oscillations, and the like.