Abstract
The study of photonic crystals, artificial materials whose dielectric properties can be tailored according to the stacking of its constituents, remains an attractive research area. In this article we have employed a transfer matrix treatment to study the propagation of light waves in Fibonacci quasiperiodic dieletric multilayers with graphene embedded. We calculated their dispersion and transmission spectra in order to investigate the effects of the graphene monolayers and quasiperiodic disorder on the system physical behavior. The quasiperiodic dieletric multilayer is composed of two building blocks, silicon dioxide (building block A = SiO2) and titanium dioxide (building block B = TiO2). Our numerical results show that the presence of graphene monolayers reduces the transmissivity on the whole range of frequency and induces a transmission gap in the low frequency region. Regarding the polarization of the light wave, we found that the transmission coefficient is higher for the transverse magnetic (TM) case than for the transverse electric (TE) one. We also conclude from our numerical results that the graphene induced photonic bandgaps (GIPBGs) do not depend on the polarization (TE or TM) of the light wave nor on the Fibonacci generation index n. Moreover, the GIPBGs are omnidirectional photonic band gaps, therefore light cannot propagate in this structures for frequencies lower than a certain value, whatever the incidence angle. Finally, a plot of the transmission spectra versus chemical potential shows that one can, in principle, adjust the width of the photonic band gap by tuning the chemical potential via a gate voltage.
Highlights
The study of photonic crystals (PCs), which are artificial materials whose dielectric properties are subject to design and control according to the stacking pattern of its constituents, started in the 90’s, with the pioneer works of E
We calculated their dispersion and transmission spectra to investigate the effects of the graphene monolayers and quasiperiodic disorder on the system physical behavior
The quasiperiodic disorder considered is due to the Fibonacci sequence which was used to build the dielectric multilayer composed by two building blocks, with graphene embedded, namely, silicon dioxide and titanium dioxide
Summary
The study of photonic crystals (PCs), which are artificial materials whose dielectric properties are subject to design and control according to the stacking pattern of its constituents, started in the 90’s, with the pioneer works of E. John[2], and it remains an attractive research area (for details about theoretical, experimental and numerical techniques, see Refs.[3,4,5,6,7,8]). In these structures the propagation of light can be controlled through a periodic modulation of the dielectric constant, which is analogous to the propagation of electrons in crystals, with the photon being responsible by the propagation and processing of information along the system[9]. It is has been shown that embedding graphene between adjacent layers of a periodic dielectric multilayer, allows tailoring photonic band gaps in the dispersion relation of the structure[23]
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