Dispersion And Nonlinear Phenomena In Two-dimensional Photonic Crystal

There is an important meaning that studying the dispersive and nonlinear phenomena of photonic crystals for the fabrication and integration of optical apparatuses. In this paper, we study the dispersive and nonlinear phenomena of 2D photonic crystals.For the strong dispersion of metal, there is plasmon resonance at the interface between the metal and medium, and then there are plasmon bands for TE mode of 2D metallic photonic crystals. We programme to study the dispersive 2D photonic crystals by using the FDTD. As a case, we calculate 2D metallic photonic crystals' band structures of TM mode and TE mode, and approve that there are plasmon bands for TE mode.For the nonlinear characteristic of 2D photonic crystals, we programme to study the nonlinear 2D photonic crystals by using the FDTD and assistant differential equation (ADE ) methods. For 2D photonic crystals with Kerr nonlinearity, we study the optical bistability in photonic crystals microcavities, which can be fabricated the all-optical bistable switching. For the photonic crystal wave-guide coupler with Kerr nonlinearity, signal light can export from the different ways by changing the control signal's strength, which can be made controllable photonic crystals optical switching; For 2D photonic crystals with Raman nonlinearity ,we can find the thrice frequency effect.By studying the dispersive and nonlinear phenomena of 2D photonic crystals, we find that the optical apparatus is easier to be fabricated and integrated compared with traditional optical apparatus.