为了设计高品质的光学滤波器,采用传输矩阵法研究四元异质结构光子晶体(ABC)7D(CBA)7的双通道光学滤波特性。结果表明,随着A（或C）介质薄膜光学厚度DA（或DC）的增大,滤波器短波通道的滤波品质因子降低,长波通道的滤波品质因子升高; 随着B介质薄膜光学厚度DB增大,滤波器短波通道和长波通道的滤波品质因子均下降; 随着D介质薄膜光学厚度DD增大,滤波器短波通道的滤波品质因子升高,而长波通道的滤波品质因子降低; 随着各薄膜介质层光学厚度增大,滤波器双通道均向长波方向红移,但各滤波通道的光透射率均保持100%不变。该研究结果可为光子晶体设计新型光学滤波器件、光学开关等提供参考。

In order to design optical filter with high quality, dual-channel optical filter in quaternary-heterostructure photonic crystal (ABC)7D (CBA)7 was constructed by using transfer matrix method and the characteristics were studied. The results show that, with the increasing of DA（or DC）, the filtering quality factor of short wave channel decreases and quality factor of long wave channel increases. With the increasing of DB, both the filtering quality factors of short and long wave channels decrease. With the increasing of DD, quality factor of short wave channel increases and quality factor of long wave channel decreases. With the increasing of optical thickness, both channels of the filter are red shifted toward long wave. Optical transmittances of each filter channel remain constant perfectly. The study can provide the reference for the design of new optical filters and optical switches of photonic crystals.