Analysis of Two Dimensional Graphene-Based Multilayered Structures Using the Extended Method of Lines

Abstract

In this paper, the method of lines is extended to analyze 2-D graphene-based multilayered structures. The graphene plates with tensor conductivity may cover partially or totally the interfaces between two consecutive layers. In this paper, the impedance and admittance transformations through the graphene-contained interfaces are developed. Also, the characteristic equation of the graphene-contained multilayered structure is obtained by matching the tangential fields at the graphene sheet. To verify the obtained relations, the following structures are analyzed using the extended method of lines: graphene-based microstrip lines, graphene-based striplines, and graphene-based parallel-plate waveguides. The results of the analysis of the graphene-based microstrip line are compared with the results obtained from the spectral domain approach and COMSOL software, whereas the results of the analysis of the graphene-based stripline and parallel-plate waveguide are compared with those of COMSOL software, which show a good agreement. The conductivity of graphene can be adjusted by varying parameters such as the bias of electric and magnetic fields perpendicular to the graphene sheet. Also, a parametric study is carried out on these parameters by which the characteristics of the analyzed structures can be controlled. The tunable structures are vastly used in new microwave applications.

Keywords

• Graphene
• extended method of lines (E-MOL)
• impedance and admittance transformation
• multilayered structures
• spectral domain method (SDM)
• microstrip