Transmission spectra in graphene-based octonacci one-dimensional photonic quasicrystals

Abstract

In this work, we have studied theoretically the optical transmissivity spectra in graphene-based quasiperiodic dielectric multilayers made of SiO2 and TiO2 which are juxtaposed in accordance with the Octonacci sequence, with a graphene monolayer between them. Our results show that all the optical spectra are affected, and their band gaps are slightly displaced for high frequencies. We also show that the properties of fractality and self-similarity of the spectra are maintained for high frequencies. We have also analyzed the influence of the incident angle and the chemical potential, and shown that when one changes the chemical potential, there is not an appreciable difference between TE and TM transmission spectra for angles close to the normal incidence. The absorption is also calculated as a function of the frequency, and is shown that sharp peaks will appear at the edges of the allowed band frequencies when we increase the Octonacci generation number. Our model can be used in the study of polarizing filters based on photonic crystals, in order to perform an angular selectivity in the incident light. Also, it is possible to tune the chemical potential of graphene layers and set up an angular selective filter using these phenomena.