Transmittance in a dispersive quasiperiodic photonic crystal

Abstract

In this work, transmittance spectrum for a quasiperiodic one-dimensional photonic crystal, composed of high-temperature superconductor and semiconductor layers arranged within the crystal based on a Dodecanacci sequence, has been calculated using the transfer matrix method and the two-fluid model. The critical temperature of the superconductor depends on the hydrostatic pressure, while the semiconductor’s plasma frequency and dielectric constant were considered to be dependent on both the pressure and temperature applied. We have found that the transmittance spectrum shows the band gaps unfolded and increased in number when the Dodecanacci sequence increased. In addition, this work shows that transmission responses can be tuned to higher frequencies as pressure increases. However, a small red shift of the transmittance spectrum can be observed as temperature increases. Finally, the research observed the maximization of the band gaps by increasing the thickness of the superconductor layers. We hope this work may be considered for application in tunable narrowband filters.