A study on defects and Aubry-André Modulation in Cylindrical Quasiperiodic Crystals
Cylindrical Photonic Quasicrystals. Transmittance. Absorption. Transfer-Matrix Method. Fibonacci. Octonacci. Double–Period. Thue–Morse. Oldenburger-Kolakoski. Aubry-André Potential.
We propose a study of the transmittance and absorption spectra of light propagating along the radial axes, and also considering a possible azimuthal component, in a quasiperiodic cylindrical structure. The study will be made in two parts: In the first one we will consider a totally dielectric central defect layer that is enveloped, and in another moment, we will use an anisotropic central defect in which a dielectric is mixed with graphene, in both cases the defect structure will be surrounded and symmetrized by quasiperiodic sequences, such as the Fibonacci, Octonacci, Period–Double, Thue–Morse, and Oldenburger-Kolakoski sequences. We will use in these sequences the materials TiO2 and SiO2 as the components of the quasiperiodic structure and we will make a comparison between the performance of sensors built with these structures, and the performance of a periodic sequence. In the second part of the proposal, we want to analyze the transmittance spectrum considering that the refractive index will be modulated by a generalized Audry-André potential.