Anderson localization in nonlocal nonlinear media

2012/01/18 by Viola Folli, Claudio Conti · 28 citations
Physics and Astronomy · #Anderson impurity model #Anderson localization #Kerr nonlinearity #Nonlinear Photonic Systems #Nonlinear optics #Nonlinear system #Quantum nonlocality #Quantum optics #Quantum optics and atomic interactions #Random lasers and scattering media #Weak localization #cond-mat.dis-nn #physics.optics

paper · pdf · doi:10.1364/ol.37.000332

published in Optics Letters 37(3), 332 (Optica Publishing Group) · 3 pages, 3 figures

arxiv created 2012/01/18 · openalex publication_date 2012/01/18 · arxiv updated 2012/01/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

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

Citations

• Bistability of Anderson Localized States in Nonlinear Random Media
• Strong localization of photons in certain disordered dielectric superlattices
• Collapse arrest and soliton stabilization in nonlocal nonlinear media

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