1维圆柱掺杂光子晶体的滤波性能

为了研究1维圆柱掺杂光子晶体的滤波性质，利用光波在1维圆柱掺杂光子晶体中径向受限的条件，推导出光波在1维圆柱掺杂光子晶体中各个模式满足的关系式，研究了TE波和TM波各模式的缺陷模随模式量子数和杂质光学厚度的变化规律。TE波和TM波的缺陷模频率都随模式量子数的增加而增大；同一模式TE波和TM波的缺陷模频率都随杂质光学厚度的增加而减小。利用缺陷模随模式量子数的变化规律可以实现多通道滤波，利用缺陷模随杂质光学厚度的变化规律可以实现调谐滤波。

Filtering performance of one-dimensional cylindrical doped photonic crystal

To study the filtering properties of the cylindrical one-dimensional doped photonic crystal, expressions of light wave modes propagating in the crystal are obtained considering the crystal’s radial restriction. Variations of defect mode in TE and TM waves with mode quantum number and impurity optical thickness are calculated. The frequency of defect mode for both waves increases with the mode quantum number increasing, and for both waves of the same pattern it decreases with the impurity optical thickness increasing. The features can be used to realize multi-channel filtering and tunable filtering, respectively.