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Abstract
Due to the increasing interest in emerging applications of graphene or other 2D material-based devices in photonics, a powerful, fast and accurate tool for the analysis of such structures is really in need. In this paper, the semi-analytical method of lines (MoL) is generalized for the diffraction analysis of tunable graphene-based plasmonic devices possessing three dimensional periodicity. We employ Floquet's theorem to handle analytically propagation of waves in the periodicity of the graphene-dielectric arrays in the direction of the layers stacking. This makes the method very effective in terms of computational time and memory consumption. To validate its efficiency and accuracy, the method is applied to plasmonic devices formed by alternating patterned graphene sheets and dielectric layers. Direct comparison with results available in literature and those obtained by a commercial software exhibits their full consistency.
Highlights
Graphene is a single atomic layer allotrope of carbon constituted of a two-dimensional (2D) hexagonal lattice of carbon atoms with unique electrical, mechanical and thermal properties [1,2,3,4]
Due to the gapless electronic band structure and near-zero thickness, graphene can be conveniently characterized by the surface conductivity that can be adjusted by applying an electric and magnetic field bias or via chemical doping resulting in tunable photonic devices [5,6,7]
The algorithm that we present can be understood as generalized transmission line (GTL) theory
Summary
Graphene is a single atomic layer allotrope of carbon constituted of a two-dimensional (2D) hexagonal lattice of carbon atoms with unique electrical, mechanical and thermal properties [1,2,3,4]. In [9] a patterned graphene-based HMM is designed for the efficient amplification of electromagnetic radiation and lasing at terahertz frequencies These examples along with other applications [19,20], reveal that graphene-based plasmonic devices offer extended functionalities in the infrared and THz frequency ranges. We propose a new efficient method based on the MoL combined with Floquet’s theorem for the full-wave analysis of tunable plasmonic devices composed of graphene-dielectric stacks arrays. We refer to a unit cell of the structure in the direction of the analytical solution as a Floquet-cell We consider such Floquet-cell as a two-port network and obtain its impedance/admittance matrix parameters using the reflection coefficient transformation approach (RCTA) [30].
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