Study of Localization-Delocalization Transition of Light in Photonic Moiré Lattices Fabricated with Saturable Nonlinear Materials

Recently, Moiré lattices have received much attention from physicists and materials scientists. These structures have opened the door to the exploration of numerous physical phenomena such as superconductivity, the commensurate-incommensurate transition, the appearance of quasicrystals at special rotation angles, or the two-dimensional localization-delocalization transition of light in linear systems. In this study, we propose photonic Moiré lattices induced by saturable nonlinear materials. After performing numerical simulations, it is observed that there exists a transition between delocalized and localized formation of laser beams under different geometrical conditions, commensurate and incommensurate lattices. The results suggest that Moiré lattices with their compactness and tunability would be utilized to control the light patterns in integrated optical devices.