Coupling photonic quasicrystals with a one-dimensional critical high-temperature superconducting cavity

Abstract

The transfer matrix method is used to calculate the transmission spectra in one-dimensional photonic quasicrystal (1D-PQ) coupling via a superconducting cavity. The layers that make up 1D-PQs are barium titanate ferroelectric (BaTiO3) and yttrium dielectric oxide (Y2O3), organized following the Fibonacci sequence. We consider the superconducting cavity to be a critical high-temperature superconductor (YBa2Cu3O7). Based on such proposed heterostructure, a multichannel filter in the near-infrared spectral region is obtained due to the existence of localized modes with an increasing Fibonacci sequence. Such localized modes are found in the null-transmission region named photonic band gaps. We observed that when increasing an incidence angle, the confinement of localized modes augments. Specifically, it is shown that, in 1D-PQs, from ferroelectric and dielectric materials with a Fibonacci sequence arrangement of an order of five (Fb5), two localized modes emerge as part of the PBG localized modes with a quality factor (Q) of Q=155.67 and Q=150.26. In the telecom region, such localized modes are tuned to longer wavelengths as the operating temperatures of the superconducting cavity increase from 10 to 80 K. Finally, we found that an increase in the thickness of the superconducting cavity favors a shift of a localized mode to longer wavelengths. The proposed heterostructure operates in cryogenic temperature environments, and we expect for it to be integrated into the optoelectronic circuit design.