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构造了(A_nB_m)~s型正负折射率材料交替生成的一维异质结构光子晶体。由于传输矩阵法具有方法简单、计算量低和精确度好等优点,本文利用传输矩阵法来研究电磁波在这种结构中的传输特性。由透射谱可以看出,该结构的光子晶体具有宽窄不同的通带,且整个能带结构不敏感于周期数的变化,而敏感于晶格厚度和入射角的改变:随着晶格厚度的减小,禁带逐渐变宽,在原来的通带区逐渐形成多个禁带,通带区震荡的剧烈程度逐渐减弱;随着入射角的增加,在原来的通带区也会逐渐出现多个禁带,其中在低频区逐渐出现的禁带都比较窄,而在高频区则逐渐出现一个很宽的禁带,并且这个禁带随着入射角的增加而变宽,同时透射峰随入射角的增加而逐渐向低频移动。由此可以看出,这种光子晶体可以同时实现窄带滤波和宽带滤波的双重滤波功能。
One-dimensional heterostructured photonic crystals with alternating (A_nB_m) ~ s positive and negative refractive index materials were constructed. Because of its advantages of simple method, low computational complexity and high accuracy, the transfer matrix method is used to study the transmission characteristics of electromagnetic waves in this kind of structure. It can be seen from the transmission spectrum that the photonic crystals have different width and width of the passband, and the entire band structure is not sensitive to changes in the number of cycles, and is sensitive to the lattice thickness and angle of incidence changes: with the lattice thickness And the forbidden band is gradually widened. A number of forbidden bands gradually form in the original passband area, and the severity of the oscillation in the passband zone gradually diminishes. As the incident angle increases, the original passband area gradually appears more A forbidden band, in which gradually forbidden band appears in the low frequency band are relatively narrow, and in the high frequency region is gradually appeared a wide band gap, and the band gap with the angle of incidence increases and widening, while the transmission peak with The incident angle increases and gradually moves to the low frequency. It can be seen, this photonic crystal can achieve both narrow-band filtering and broadband filtering double filtering.