Fano resonances in a superconducting one-dimensional photonic crystal containing a semiconducting layer

Abstract

In this work, we consider the two-fluid model and the transfer-matrix method (TMM) for evaluating the reflectance spectrum in a one-dimensional photonic crystal that is composed by two alternating layers made of superconducting materials HgBa2Ca2Cu3O8+δ/BSCCO and a semiconducting layer (GaAs). Our model takes into account the critical temperature dependence on the hydrostatic pressure for the case of HgBa2Ca2Cu3O8+δ material, as well as a temperature and pressure dependence on the dielectric constants for case of GaAs semiconductor. We found that at low temperatures, the reflectance spectrum reveals multiple Fano resonances (FR) peaks which disappear as the temperature increases. Further, it is also demonstrated that an increment in the hydrostatic pressure induces a slightly shifts towards short wavelengths without reporting any noticeable changes in the reflectance spectrum. We also found that the number of FR peaks depends on the thickness of the superconducting layer HgBa2Ca2Cu3O8+δ and its maximum value of reflectance can be change by increasing the thickness of the BSCCO superconducting layer. We report the occurrence of the phenomenon of electromagnetically induced reflectance in the reflectance spectrum by an increment of the thickness of the GaAs semiconductor layer.