LAUSR

Using the transfer matrix method, the transmittance in one dimensional (1D) photonic crystals composed of superconductor (HgBa2Ca2Cu3O8+δ), semiconductor (Gallium Arsenide, GaAs) and graphene materials was studied. Specifically, the influence of graphene on the transmittance spectrum was analyzed. In the theoretical calculations, the photonic crystal structure was modeled as a superconductor-block crystal, where the block consisted of a sequence of semiconductor layers interspersed with graphene sheets, which were theoretically treated as an effective medium. The transfer matrix method was used to calculate the transmittance of various structures, considering electromagnetic waves with TE polarization. The dielectric permittivity of the superconductor was obtained from the two-fluid model, while the permittivity of the semiconductor was dependent on temperature and pressure. By comparing the transmittance spectra of the photonic crystals, it was possible to identify the effect of the inclusion of graphene sheets on the optical properties of the structures. The main changes included shifts and variations in the photonic bandgap sizes obtained on the superconductor-block crystal structure. Additionally, the impact of thermodynamic factors, such as temperature, pressure, and structural geometry, was analyzed.