中文摘要：

基于Kerr介质与光场的相互作用的Tran理论模型，利用在非线性条件下的有限时域差分法（finitedifference time-domain，FDTD）数值模拟了含Kerr介质的方形与三角形品格的非线性光子晶体光腔的共振频率及其双稳态特性．含多个Kerr缺陷的三角形结构的非线性光子品体光腔能产生多个共振模式，这种结构随光强变化的透射光强能在更大范围内保持在高透射率的状态．具有这种双稳性质的光子晶体为全光网络的设计提供了参考．

英文摘要：

The bistabilities and resonant modes of the square lattice and triangular nonlinear photonic crystal cavities with Kerr media were numerically simulated using finite-difference time-domain（FDTD） algorithm, based on the theoretical model which described the interaction between the Kerr medium and light field. The triangular nonlinear photonic crystal cavity with multiple Kerr defects showed multi-mode resonant frequency, which in a wide range kept the output optical intensity in high transmittance level. The photonic crystal structure with this bistability property gave reference to the design of all-optical net-works.