Graphene-embedded planar and cylindrical Oldenburger–Kolakoski aperiodic photonic crystals

Abstract

In this paper, we examine the transmission and absorption spectra of light waves in both planar and cylindrical quasiperiodic structures known as Photonic Crystals. In these quasiperiodic multilayers, graphene sheets are inserted between planar and concentric layers of two different dielectric materials (namely TiO2 and SiO2). These structures are called Planar Photonic Crystals (PPCs) and Cylindrical Photonic Crystals (CPCs), respectively. The spatial arrangement of the dielectric layers follows the aperiodic Oldenburger–Kolakoski (O–K) sequence. The transfer matrix method is used to calculate the transmission and absorption spectra of obliquely incident TE and TM waves to investigate the effects of graphene, aperiodic disorder, and incidence angle on the physical behavior of the system. The numerical results reveal that the transmission spectra for cylindrical geometry differ significantly from those for planar geometry, even in the case of a normal incidence angle. Furthermore, the transmission of TM modes is higher than that of TE modes for incidence angles greater than 30°. Finally, we have demonstrated that a substantial number of peaks in the absorption spectra for the CPC case are higher than those for the PPC case, which is a result that may be useful for enhancing the efficiency of optical sensors.