Modulational instability, solitons and beam propagation in spatially nonlocal nonlinear media

Abstract

We present an overview of recent advances in the understanding of optical beams in nonlinear media with a spatially nonlocal nonlinear response. We discuss the impact of nonlocality on the modulational instability of plane waves, the collapse of finite-size beams, and the formation and interaction of spatial solitons.

Review article, will be published in Journal of Optics B, special issue on Optical Solitons, 6 figures

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Cited by in corpus (88)

• Observation of attraction between dark solitons
• Stable Vortex Solitons in Nonlocal Self-Focusing Nonlinear Media
• Stability of two-dimensional spatial solitons in nonlocal nonlinear media
• Stable Solitons in Three Dimensional Free Space: Self-Trapped Bose-Einstein Condensates with Spin-Orbit Coupling
• Nonlocal stabilization of nonlinear beams in a self-focusing atomic vapor
• Dynamics of two-dimensional coherent structures in nonlocal nonlinear media
• Upper threshold for stability of multipole-mode solitons in nonlocal nonlinear media
• Spatiotemporal accessible solitons in fractional dimensions
• Multipole vector solitons in nonlocal nonlinear media
• Soliton mobility in nonlocal optical lattices
• Analytical theory for dark soliton interaction in nonlocal nonlinear materials with arbitrary degree of nonlocality
• Three-dimensional spatiotemporal optical solitons in nonlocal nonlinear media
• Stability of vortex solitons in thermal nonlinear media with cylindrical symmetry
• Nonlocal incoherent solitons
• Light meets water in nonlocal media: Surface tension analogue in optics
• Ring dark and anti-dark solitons in nonlocal media
• Two-dimensional nonlocal vortices, multipole solitons and azimuthons in dipolar Bose-Einstein condensates
• Gray spatial solitons in nonlocal nonlinear media
• Highly nonlocal optical nonlinearities in atoms trapped near a waveguide
• Analytical theory of dark nonlocal solitons
• Impact of nonlocal interactions in dissipative systems: towards minimal-sized localized structures
• Lattice-supported surface solitons in nonlocal nonlinear media
• Stability of Multipole-mode Solitons in Thermal Nonlinear Media
• Creating two-dimensional bright solitons in dipolar Bose-Einstein condensates
• Nonlocal surface dipoles and vortices
• Stabilization of vector soliton complexes in nonlocal nonlinear media
• Suppression of transverse instabilities of dark solitons and their dispersive shock waves
• Matter-wave solitons supported by field-induced dipole-dipole repulsion with a spatially modulated strength
• Stabilization of higher-order vortices and multi-hump solitons in media with synthetic nonlocal nonlinearities
• Spatial solitons in thermo-optical media from the nonlinear Schrodinger-Poisson equation and dark matter analogues
• Quantum optomechanics of a two-dimensional atomic array
• Gap solitons supported by optical lattices in photorefractive crystals with asymmetric nonlocality
• Soliton transverse instabilities in nonlocal nonlinear media
• Multipole surface solitons in layered thermal media
• Rogue waves in nonlocal media
• Exploring the Stability and Dynamics of Dipolar Matter-Wave Dark Solitons
• Enhanced soliton interactions by inhomogeneous nonlocality and nonlinearity
• Two-dimensional nonlocal multisolitons
• Azimuthal Modulational Instability of Vortices in the Nonlinear Schrödinger Equation
• Azimuthons in weakly nonlinear waveguides of different symmetries
• Complex light: Dynamic phase transitions of a light beam in a nonlinear non-local disordered medium
• Ring surface waves in thermal nonlinear media
• Lattice solitons with quadrupolar intersite interactions
• Transition between self-focusing and self-defocusing in nonlocally nonlinear media
• Soliton-induced nonlocal resonances observed through high-intensity tunable spectrally compressed second-harmonic peaks
• Gap solitons under competing local and nonlocal nonlinearities
• Tracking azimuthons in nonlocal nonlinear media
• Asymptotic reductions and solitons of nonlocal nonlinear Schrödinger equations
• Collapse suppression and stabilization of dipole solitons in two-dimensional media with anisotropic semi-local nonlinearity
• Collapse in the nonlocal nonlinear Schrödinger equation
• Quantum gravity simulation by non-paraxial nonlinear optics
• Modulational instability in nonlocal Kerr-type media with random parameters
• Three-dimensional solitons and vortices in dipolar Bose-Einstein condensates
• Elastic-like Collision of Gap Solitons in Bragg Gap Regions within Nonlocal Nonlinear Photonic Crystals
• A magic tilt angle for stabilizing two-dimensional solitons by dipole-dipole interactions
• Nonlocality and fluctuations near the optical analog of a sonic horizon
• Self-organized structures of two-component laser fields and their active controls in a cold Rydberg atomic gas
• Power-dependent soliton steering in thermal nonlinear media
• Modulation instability and solitons in two-color nematic crystals
• Structural Phase Transitions of Optical Patterns in Atomic Gases with Microwave Controlled Rydberg Interactions
• Cross-symmetric dipolar-matter-wave solitons in double-well chains
• Designing microstructured polymer optical fibers for cascaded quadratic soliton compression of femtosecond pulses
• Rogue Waves and Periodic Solutions of a Nonlocal Nonlinear Schrödinger Model
• Cross-symmetry breaking of two-component discrete dipolar matter-wave solitons
• Engineering soliton nonlinearities: From local to strongly nonlocal
• Solitary modes in nonlocal media with inhomogeneous self-repulsive nonlinearity
• Large phase shift of (1+1)-dimensional nonlocal spatial solitons in lead glass
• Balancing long-range interactions and quantum pressure: solitons in the HMF model
• Accessing and Manipulating Dispersive Shock Waves in a Nonlinear and Nonlocal Rydberg Medium
• Axially and spherically symmetric solitons in warm plasma
• Incoherent localized structures and hidden coherent solitons from the gravitational instability of the Schrödinger-Poisson equation
• The Drastic Role of Beyond Nearest-Neighbor Interactions on Two-Dimensional Dynamical Lattices: A Case Example
• Vortical and fundamental solitons in dipolar Bose-Einstein condensates trapped in isotropic and anisotropic nonlinear potentials
• Gap solitons in optical lattices embedded into nonlocal media
• Nonlinearity-mediated soliton ejection from trapping potentials in nonlocal media
• Two-dimensional ring-like vortex and multisoliton nonlinear structures at the upper-hybrid resonance
• Transverse instability and dynamics of nonlocal bright solitons
• Particle and wave dynamics of nonlocal solitons in external potentials
• High frequency integrable regimes in nonlocal nonlinear optics
• Modulational instability and nonlocality management in coupled NLS system
• Solitons in thermal media with periodic modulation of linear refractive index
• Mobility of nonlocal solitons in fading optical lattices
• Soliton shape and mobility control in optical lattices
• Observation of Optical Solitons and Abnormal Modulation Instability in Liquid Crystals with Negative Dielectric Anisotropy
• Stability Analysis of Continuous Waves in Nonlocal Random Nonlinear Media
• Shortcuts to adiabaticity for rapid soliton compression in nonlocal media
• Symmetry breaking bifurcation in Nonlinear Schrodinger /Gross-Pitaevskii Equations
• Chirped periodic and localized waves in a weakly nonlocal media with cubic-quintic nonlinearity