Control of light propagation in one-dimensional quasi-periodic nonlinear photonic lattices

Abstract

We investigate light localization in quasi-periodic nonlinear photonic lattices (PLs) composed of two periodic component lattices of equal lattice potential strength and incommensurate spatial periods. By including the system parameters from the experimentally realizable setup, we confirm that the light localization is a threshold determined phenomenon in a limit of negligible nonlinearity. In addition, we show that self-trapping can affect the localized light in the established setup only in the presence of strong nonlinearity. Guided by these findings we consider the possibility of governing light propagation by proposing a composite lattice system comprising alternating quasi-periodic parts with different potential depths and nonlinearity strengths.