The optical behavior of GaAs/AlAs based 1D multi-layered quasi-periodic photonic crystal is investigated by employing the transfer matrix method (TMM). The complex dielectric constants are employed for analyzing the transmission spectra of the crystal at the long-wave limit. The numerical results are studied for different quasi-periodic sequential arrangements of GaAs/AlAs, which is also compared with the periodic structure. The major portion of optical spectra is affected by different generation numbers of quasi-periodic sequences as compared to the periodic crystal. The shifting of bandgaps around the central frequency with less optical-transmission peaks is observed within a considered frequency range. The mirrored or symmetrical behavior of two different superlattices remains unchanged with varying layer thickness. The scaling property is observed with the change in different incident angles. Moreover, generation number of different quasi-sequences plays a vital role to control the band-gap in the optical spectra. This study will be very helpful in designing the optical pass- and stop-band filters.

基于GaAs / AlAs的一维多层准周期光子晶体的光学行为是采用转移矩阵法（TMM）研究的。复数介电常数用于分析晶体在长波极限处的透射光谱。研究了GaAs / AlAs不同准周期顺序排列的数值结果，也将其与周期性结构进行比较。与周期晶体相比，光谱的主要部分受到准周期序列的不同生成数的影响。在考虑的频率范围内，观察到带隙在中心频率附近具有较小的光传输峰值的移动。随着层厚度的变化，两个不同的超晶格的镜像或对称行为保持不变。随不同入射角的变化观察到缩放特性。此外，不同准序列的产生数在控制光谱中的带隙方面起着至关重要的作用。这项研究对于设计光学通带和阻带滤波器将非常有帮助。