Anderson Localization in Nonlocal Nonlinear Media

Abstract

The effect of focusing and defocusing nonlinearities on Anderson localization in highly nonlocal media is theoretically and numerically investigated. A perturbative approach is developed to solve the nonlocal nonlinear Schroedinger equation in the presence of a random potential, showing that nonlocality stabilizes Anderson states.

3 pages, 3 figures

References in corpus (4)

• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Dynamic light diffusion, Anderson localization and lasing in disordered inverted opals: 3D ab-initio Maxwell-Bloch computation
• The frustrated Brownian motion of nonlocal solitary waves
• Brownian soliton motion

Cited by in corpus (15)

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• Observation of migrating transverse Anderson localizations of light in nonlocal media
• Solitonization of the Anderson Localization
• Nonlinear Gamow vectors, shock waves and irreversibility in optically nonlocal media
• Shock waves in thermal lensing
• Optical Spatial Shock Waves in Nonlocal Nonlinear Media
• Quantum gravity simulation by non-paraxial nonlinear optics
• Anisotropic Optical Shock Waves in Isotropic Media with Giant Nonlocal Nonlinearity
• Anderson localization of light with topological dislocations
• Linear and nonlinear Anderson localization in a curved potential
• Disordered resonant media: Self-induced transparency versus light localization
• Purely nonlinear disorder-induced localizations and their parametric amplification
• Anderson localization in Bragg-guiding arrays with negative defects
• Localization without recurrence and pseudo-Bloch oscillations in optics
• Pulse propagation in one-dimensional disordered photonic crystals: Interplay of disorder with instantaneous and relaxing nonlinearities