Transverse localization in nonlinear photonic lattices with second-order coupling

Abstract

We investigate numerically the effect of long-range interaction on the transverse localization of light. To this end, nonlinear zigzag optical waveguide lattices are applied, which allows precise tuning of the second-order coupling. We find that localization is hindered by coupling between next-nearest lattice sites. Additionally, (focusing) nonlinearity facilitates localization with increasing disorder, as long as the nonlinearity is sufficiently weak. However, for strong nonlinearities, increasing disorder results in weaker localization. The threshold nonlinearity, above which this anomalous result is observed grows with increasing second-order coupling.

Accepted to PRA, 5 pages, 9 figures

References in corpus (5)

• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Localization of ultrasound in a three-dimensional elastic network
• Universal spreading of wavepackets in disordered nonlinear systems
• Discrete solitons and nonlinear surface modes in semi-infinite waveguide arrays
• Delocalization induced by nonlinearity in systems with disorder

Cited by in corpus (4)

• Modulational instability and localized breather modes in the discrete nonlinear Schrödinger equation with helicoidal hopping
• Production of genuine multimode entanglement in circular waveguides with long-range interactions
• Light scattering in disordered honeycomb photonic lattices near the Dirac points
• Sub- and supercritical defect scattering in Schrödinger chains with higher-order hopping