Transverse localization in nonlinear photonic lattices with second-order coupling

摘要

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