Light propagation in quasiperiodic cylindrical systems with graphene

Abstract

In this work, we deal with 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 we discuss about the concept of quasicrystals. In chapter two, we make a review of Fibonacci, Octonacci, Double–Period and Thue–Morse sequences, and we describe how the concept of quasiperiodic crystals arose mainly due to Dan Shechtman’s work. We also review graphene’s main properties and we finish the chapter by showing relevant works in the field of light propagation through cylindrical photonic crystals. In chapter three we develop a general transfer-matrix method in cylindrical geometry by using Maxwell’s equations. Afterwards, in chapter four we use the mathematical model described in earlier chapter and we make the analysis of transmittance, reflectance, and absorption spectra for both TE and TM modes, with embedded graphene at the interfaces and without graphene. Finally, in the last chapter, we make some conclusions about the results of the Cylindrical Photonic Quasiperiodic Crystals, analyzing possible applications and perspectives of further studies on this topic.