The present paper determines the properties of the transmission spectrum in a quasi-periodic one-dimensional photonic crystal. The photonic crystal is composed of a high-temperature superconductor (${\text{HgBa}}_2{\text{Ca}}_2{\text{Cu}}_3{\text{O}}_{8+\delta }$) and a semiconductor (GaAs). These materials are arranged based on the Rudin Shapiro sequence. Additionally, this study also considers the effects of temperature and pressure on the optical properties of the superconductor and semiconductor. Using the transfer matrix method and the two-fluid model, this study finds that when the sequence increases, the transmittance peaks split also increases. When the temperature rises at fixed pressure and sequence values, the transmittance spectrum denotes defective modes within the photonic band gap. The same behavior is observed as the pressure increases, while the transmittance spectrum noticeably shifts toward higher frequency regions. Finally, when the thickness of the semiconductor layers increases, more splitting is observed in the transmittance peaks than when we increase the thickness of the superconducting layers. We expect this paper to provide a pathway to design optical filters based on quasi-periodic superconductor photonic crystals.

本文确定了准周期一维光子晶体中透射光谱的特性。光子晶体由高温超导体（${\text{汞合金}}_2{\text{钙}}_2{\text{铜}}_3{\text{哦}}_{8+\delta }$) 和半导体 (GaAs)。这些材料是根据 Rudin Shapiro 序列排列的。此外，本研究还考虑了温度和压力对超导体和半导体光学特性的影响。使用传递矩阵法和二流体模型，本研究发现当序列增加时，透射峰分裂也增加。当温度在固定压力和序列值下升高时，透射光谱表示光子带隙内的缺陷模式。随着压力的增加，观察到相同的行为，而透射光谱明显向更高的频率区域移动。最后，当半导体层的厚度增加时，与我们增加超导层的厚度相比，在透射率峰值中观察到更多的分裂。我们希望本文为设计基于准周期超导体光子晶体的滤光器提供一条途径。