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Among the most significant contributions are:
(1) The discovery of self-trapping of
spatially-incoherent light and of
white Light (first observation + first theories that explained it and made
further predictions)
(2) The discovery of photorefractive spatial solitons
(theoretical
prediction + first experimental demonstration)
(3) First experimental observation of Anderson Localization in a perturbed
periodic structure,
(4) Invention of the sparsity-based concept for sub-wavelength imaging and
phase-retrieval, and related structure-based methods for algorithmic
super-resolution.
(5) The discovery of modulation instability and
spontaneous pattern
formation in a weakly-correlated (or incoherent) nonlinear wave system
(theoretical prediction + first experimental demonstration).
(6) First experimental observation of two-dimensional solitons
in 2D
periodic lattices (first 2D ³discrete/ lattice solitons²).
(7) Discovery of accelerating wave-packets of
Maxwell's equations.
(8) First experimental observation of spatial gap solitons
(9) First experimental observation of 3D soliton
interaction-collisions,
soliton spiraling, etc.
(10) First experimental observation of multi-mode and of multi-hump solitons
(11) First experimental demonstration of nonlinear photonic quasi-crystals,
and wave dynamics therein.
(12) The theoretical and experimental discovery of incoherent
dark solitons
(13) Theoretical prediction of soliton fractals
(14) Prediction and first observation of random-phase lattice solitons
(15) Demonstration of the world's first quantum-dot photo-detector
(16) Discovery of nonlinear accelerating
wave-packets
(17) Theory and experimental demonstration of the relation between nonlinear
self-oscillation and order-disorder phase transition
(18) First experiments on nonlinear wave dynamics in photorefractive
waveguides
(19) First demonstration of controlling laser diode arrays with
phase-conjugate mirrors, and using it for mode-locking the laser arrays.
(20) Prediction + first
observation of surface waves in nonlocal nonlinear
media.
(21) First experiments on soliton
tunneling.
(22) Prediction + first experiments on
symmetry-drive conical diffraction
(conical diffraction in honeycomb lattices).