Light Propagation in Quasiperiodic Cylindrical Systems With Graphene
Cylindrical Photonic Quasicrystals. Graphene. Transmittance. Reflectance. Absorption. Transfer-Matrix Method. Fibonacci. Octonacci. Double--Period, Thue--Morse.
In this work, we will focus on the analysis of transmittance, reflectance, and absorption spectra of light in cylindrical quasiperiodic structures with and without graphene. In chapter one we introduce some remarkable developments in photonic crystals, semiconductors, and the concept of quasicrystals. In chapter two we will make a review of Fibonacci, Octonacci, Double—Period, and Thue--Morse sequences, and how the concept of quasiperiodic crystals arose mainly due to Dan Shechtman's work. We also review graphene's main properties and finish the chapter by showing relevant works in the area of light propagation through cylindrical photonic crystals. In chapter three we develop a general transfer-matrix method in cylindrical geometry using Maxwell's equations, which is particularized to TE or TM modes, and in the cases with and without a conductor that obeys Ohm's law. Afterwards, in chapter four we use the mathematical model of the earlier chapter and make an analysis of transmittance, reflectance, and absorption spectra for both TE and TM modes, with embedded graphene and without graphene at all. Finally, in the last chapter, we will make some conclusions about the results of the Cylindrical Photonic Quasiperiodic Crystals analyzed, possible applications, and perspectives of study on this topic.