Transmittance spectrum in a Rudin Shapiro quasiperiodic one-dimensional photonic crystal with superconducting layers

Highlights: • We study the transmittance spectrum in Rudin Shapiro quasiperiodic one-dimensional photonic crystals composed by a superconducting material and semiconducting material. • We have demonstrated that as the pressure increases, the defect modes shift to higher frequencies in the frequency domain. • When the thickness of the semiconductor layers increases, more splitting is observed in the transmittance peaks. 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.