对异质镜像结构光子晶体(ABCCBA)N进行了研究。首先, 利用一维介电体系中处理光传播的方法——传输矩阵法, 详细推导了异质镜像光子晶体透射率的计算公式; 然后, 采用Matlab软件编程仿真并分析了光子带隙形成与镜像周期数目、光子带隙数目与光子晶体薄层厚度、光子带隙位置与入射角大小等的关系。结果表明: 光子带隙的形成及变化主要受光子晶体薄层厚度及入射角大小变化的影响。通过改变影响光子晶体光子带隙的参数, 可得到不同频段的光子带隙, 用来制作高质量反射镜、滤波器和发光二极管等。

The mirror periodic photonic crystal heterostructures (ABCCBA)N were studied in this paper. First, the optical propagation method of one-dimensional dielectric system,the transfer matrix method, was used to deduce the transmittance of photonic crystal heterostructures. And then, the Matlab software and the formula were adopted to simulate and describe the relationship between photonic bandgap form and mirror periodic numbers, photonic bandgap numbers and the layer thickness of photonic crystal, the incoming angle and the position of photonic bandgap. The results show that the formation and change of photonic band gap are mainly affected by the change of the layer thickness of photonic crystal and the incoming angle. By altering the photonic bandgap parameters, the photonic bandgap with different frequency can be gotten, and can be used to make high quality mirrors, filters, and light-emitting diodes.