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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。
The optical transmission properties of one-dimensional sinc-functional photonic crystal with negative refractive index defect were studied by using transfer matrix method. The results show that the sinc function photonic crystal with negative refractive index defect has a wider photon band gap than the cosine photonic crystal with the same defect. The bandgap of the photonic crystal increases with the refractive index nB (0) , The increase of nA (0) or half-period thickness rapidly shrinks and narrows, and the defect mode disappears. When the incident angle of light wave increases, the forbidden band width broadens and the defect mode redshifts with the forbidden band. The calculation also shows that the forbidden band However, the thickness of the defect layer does not change the position and width of the forbidden band, and the defect mode will shift toward the forbidden band center as the thickness of the defect layer increases. These conclusions have important reference meaning for the design of one-dimensional functional photonic crystal.