Investigation of the Band Structure of Graphene-Based Plasmonic Photonic Crystals

Abstract

In this paper, one-dimensional (1D) and two-dimensional (2D) graphene-based plasmonic photonic crystals (PhCs) are proposed. The band structures and density of states (DOS) have been numerically investigated. Photonic band gaps (PBGs) are found in both 1D and 2D PhCs. Meanwhile, graphene-based plasmonic PhC nanocavity with resonant frequency around 175 THz, is realized by introducing point defect, where the chemical potential is from 0.085 to 0.25 eV, in a 2D PhC. Also, the bending wvaguide and the beam splitter are realized by introducing the line defect into the 2D PhC.

Dynamically Tunable Plasmon-Induced Transparency in On-chip Graphene-Based Asymmetrical Nanocavity-Coupled Waveguide System

“…Figure 2 a displays the transmittance spectra with varied relaxation time τ = 0.6, 0.8, and 1 ps, where it can be seen that a higher transmission contrast is achieved when the relaxation time increases. This is attributed to the reduction of the Ohmic absorption of the plasmons when the relaxation time of electron momentum increases [ 39 ]. The calculated transmittance of a U-shaped nanocavity-coupled waveguide system for different chemical potentials μ c2 is presented in Fig.…”

“…The surface conductivity of graphene σ g composed of the interband electron transitions σ inter and the intraband electron-photon scattering σ intra is given by the Kubo formula [38, 39] …”

“…where μ 0 and ε 0 represent the permeability and permittivity of vacuum, respectively, and μ r and ε r represent the relative permeability and relative permittivity respectively. The surface conductivity of graphene σ g composed of the interband electron transitions σ inter and the intraband electron-photon scattering σ intra is given by the Kubo formula [ 38 , 39 ] …”

Symmetry-Breaking Effect on the Electromagnetic Properties of Plasmonic Trimers Composed of Graphene Nanodisks

“…Recently, graphene, which is composed of a monolayer of carbon, has been widely studied due to its unique advantages in electronics and photonics [17][18][19][20][21][22][23][24][25][26][27]. More specifically, a graphene layer is analogous to a metal sheet that is capable of supporting surface plasmon polariton (SPP) waves [28][29][30].…”