摘要:根据介质空间结构的不同，可以将光子晶体分为一维光子晶体，二维光子晶体及三维光子晶体。本文主要选用的模型是二维光子晶体，即介电常数在空间的两个方向上具有周期性结构的光子晶体。二维光子晶体的介电常数在第三个方向上是均匀分布的。

本文用传递矩阵法来研究二维光子晶体的能带结构，并且利用Origin软件得到二维光子晶体的能带结构图。

关键词:传递矩阵; 二维光子晶体; 能带结构;

Abstract: Depending on the space structure of media, photonic crystal can be divided into one-dimensional photonic crystal, two-dimensional photonic crystals and three-dimensional photonic crystal. In this paper, we focus on two-dimensional photonic crystals, the dielectric constant of  which is periodical in the two directions of space. The dielectric constant in the third direction of the two-dimensional photonic crystal  is uniformly distributed. In this paper, we choose the transfer matrix method to study the two-dimensional photonic crystal band structure, and use Origin software to get the two-dimensional photonic crystal band structure diagram.

Key words: transfer matrix; two-dimensional photonic crystals; photonic band structures