Graphene and surface plasmon polaritons have attracted much attention in domestic and foreign research institutions due to their unique physical properties,which have been widely used in the field of optoelectronic information.In the background of surface plasmon and new two-dimensional materials,the numerical calculation and theoretical analysis based on finite-difference time-domain method are carried out in the following three aspects:1.The influence of the physical parameters and geometric parameters of graphene on the plasma resonance mode was analyzed.Reducing the Fermi level or increasing the width can make the resonant wavelength of the transmission spectrum red-shift.The transmission efficiency will drop to the low order mode with the decrease of the carrier mobility.By introducing a glass defect,the plasmon switch can be fine-tuned between the on-state and off-state to achieve the plasmon switching effect.In addition,it is found that the output light transmittance has two different output paths with the intensity of the incident light when the composite structure including Kerr nonlinear material.And then it forms a hysteresis loop,resulting in optical bistability effects.2.The optical bistability in the MIM waveguide structure composed of metal grating and Kerr nonlinear material is studied.The results show that the resonant wavelengths have a red-shift by increasing the width and height of the metal grating,the thickness of the nonlinear material layer and its linear refractive index.And the low-threshold optical bistability can be achieved by adjusting the optimized structural parameters.3.The optical properties of graphene-cavity-grating waveguide system are numerically calculated and studied by finite-difference time-domain method and coupled-mode theory.The resonant cavity can enhance the resonance effect of graphene plasma and strengthen the localization effect of plasmon in graphene.The optical bistability can be realized by introducing Kerr nonlinear material into the structure.In addition,the resonant wavelength corresponding to the three resonantmodes of the structure changes with the altering of the Fermi level of graphene;that is to say,the transmission resonance mode can be regulated by the structural parameters. |