Analytical Study of TM-Polarized Surface Plasmon Polaritons in Nonlinear Multi-Layer Graphene-Based Waveguides

Abstract

In this article, an analytical model is proposed for the study of Transverse-electric (TE) surface plasmon polaritons (SPPs) in nonlinear multi-layer graphene-based waveguides. Each graphene sheet has been located between two different Kerr-type layers. As special cases of the general, proposed structure, two new nonlinear graphene-based waveguides are introduced and investigated in this paper. The obtained results show that the propagation properties of these exemplary structures are adjustable via chemical potential and nonlinear coefficients. A large value of the effective index, i.e.= 82 is obtained for the chemical potential of = 0.15 and the nonlinear ratio of 2 1 ⁄ = 0.8 for the second structure at the frequency of 61 THz. The presented study suggests a novel platform in graphene plasmonics, which can be used for the design of innovative THz devices.

An Analytical Study of Magneto-Plasmons in Anisotropic Multi-layer Structures Containing Magnetically Biased Graphene Sheets

“…Due to the complicated form of mathematical equations for this waveguide, they are not reported here. To simulate the proposed structure, the gyroelectric substrate is assumed to be n-type InSb with the thickness of 𝑠 = 50 𝑛𝑚, which its parameters are 𝜇 2 = 𝜇 0 , ɛ ∞ = 15.68, 𝑚 * = 0.022𝑚 𝑒 , 𝑛 𝑠 = 1.07 × 10 17 𝑐𝑚 3 ⁄ , 𝜈 = 0.314 × 10 13 𝑠 −1 and 𝑚 𝑒 is the electron's mass. The upper dielectric is air ( ɛ 3 = ɛ 0 , 𝜇 3 = 𝜇 0 ) and the background substrate has the permittivity of 3.8 ( ɛ 1 = 3.8 ɛ 0 , 𝜇 1 = 𝜇 0 ).…”

“…Graphene is one of the interesting two-dimensional materials which offers a number of fundamentally fascinating features. These properties make graphene a good candidate for designing of novel photonic and electronic devices such as waveguides [1][2][3][4][5][6][7][8][9][10][11][12][13], circulator [14,15], coupler [16], resonator [17], and filter [18]. Graphene plasmonics is a new research area emerged in recent years, which has been developed based on the optical conductivity of graphene that can be varied by either electrostatic or magnetostatic gating.…”

Highly Confined Mid-infrared Plasmonics in Graphene-plasma Cylindrical Structures

“…In graphene plasmonics, one of the famous ways to efficiently increase the performance of the designed structure is the integration of the graphene with other tunable materials such as chiral materials [50][51][52][53][54][55][56][57], and non-linear materials [58][59][60][61][62][63][64][65][66][67][68]. Cylindrical graphene structures, which are investigated in some articles [36,37,[69][70][71][72], are one of the interesting platforms due to their potential applications.…”

Tunable Plasmonic Modes in Graphene-loaded Plasma Media

“…One of the familiar methods to enhance the performance of graphene-based devices is the integration of graphene with various smart materials such as chiral materials [43][44][45][46][47][48][49][50], and non-linear materials [51][52][53][54][55][56][57][58][59][60][61]. For instance, the authors in [44] have introduced a new platform for THz sensing applications by integrating graphene sheets with chiral materials.…”