▎ 摘　　要

A theoretical study in the optical bistability of the transmitted light in complex multilayers is provided. The proposal structure is composed of graphene and one-dimensional Thue-Morse dielectric lattices. Low thresholds optical bistability is achieved owning to the enhancement of graphene nonlinearity with a strong electric field localization. Simulations show that the thresholds of optical bistability and the intervals between the upper and lower thresholds can be flexibly modulated by the chemical potential of graphene, incident wavelengths and incident angles. The complex structure provides a candidate for the all-optical switches.