应用传输矩阵法对含色散负折射率缺陷一维sinc函数型光子晶体的光学传输特性进行了研究。结果表明：含色散负折射率缺陷的sinc函数型光子晶体比含同样缺陷的余弦函数型光子晶体具有更宽阔的光子禁带；该光子晶体的禁带宽度随着介质层折射率nB(0)、nA(0)或半周期厚度的增大迅速收缩变窄，缺陷模消失；当光波入射角增大时，禁带宽度变宽，缺陷模与禁带一起红移；计算还发现该禁带结构对色散负折射率缺陷层的位置变动十分敏感；但是，缺陷层厚度的变化不会改变禁带的位置和宽度，此时缺陷模会随着缺陷层厚度的增大向着禁带中心移动。这些结论对一维函数型光子晶体的设计具有重要参考意义。

Light transmission properties of one-dimensional sinc function photonic crystals containing a dispersive defect layer with negative refractive index are studied by transfer matrix method. The results show that one-dimensional sinc function photonic crystals containing a dispersive defect layer with negative refractive index have a broader forbidden-bands than one-dimensional cosine function photonic crystals containing the same defect layer. The forbidden bandwidth of this function photonic crystals is rapidly shrunk and narrowed with the increase of the refractive index nB(0)、nA(0) or half period thickness of the dielectric layer, and defect modes are disappeared. The forbidden bandwidth of this function photonic crystals is widened with the increase of angles of incidence, the defect modes are redshift with the forbidden-bands, and the structure of forbidden bands is also sensitive to changes on the position of a dispersive defect layer with negative refractive index. But the thickness variation of defect layers can not change the position and width of the forbidden band, and defect modes move toward the center of the band gap with the increase of the defect layer thickness. These results are important for the design of one-dimensional function photonic crystals.