利用电磁波在一维矩形掺杂光子晶体中横向受限的条件,推导出电磁波在一维矩形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。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。

Applying the condition of electromagnetic wave restricted in horizontal direction,the conditions that each mode should satisfy are concluded from the one-dimensional rectangle doping photonic crystal. The dependences of defect modes on the mode quantum number and doping thickness are obtained for TE wave and TM wave. These results can be used to design multi-channel filter with frequency tuning.