Linear and nonlinear localized modes in the width-disordered one-dimensional waveguide arrays

摘要

Transverse localization of light in one-dimensional waveguide arrays with width disorder has been studied in both linear and nonlinear regimes. Defect mode is generated in the bandgap of the disordered waveguide array when introducing refractive index modulation into a single waveguide, and its localization strength depends on the width disorder level of the waveguide array. The evolution of the nonlinear disordered modes with either the self-focusing or the self-defocusing optical nonlinearities has been studied. The results show that the nonlinear disordered modes may be delocalized significantly due to the resonant interaction with the nearby eigen modes in the width-disordered waveguide array.