A Time-Domain Thin Dielectric Sheet (TD-TDS) Integral Equation Method for Scattering Characteristics of Tunable Graphene

A time-domain thin dielectric sheet (TD-TDS) integral equation method is presented to analyze the transient scattering of thin graphene films with the electrostatic bias. In this method, the volume integral of the time-domain volume integral equation is transformed to surface integral to reduce the scale of calculation. In this method, the Rao-Wilson-Glisson basis function and the pulse functions are employed as a spatial basis function while the fourth-order Lagrangian basis functions are employed as temporal basis functions. The main advantages of the TD-TDS method are: 1) this method provides a new way for the simulation of graphene device; 2) only the surfaces of the targets need to be meshed when the targets are modeled as surfaces instead of volumes. As a result, the computational resources and time are greatly reduced; 3) broadband electromagnetic response characteristics can be obtained only after one time computation; and 4) this TD-TDS method is suitable for analyzing the dispersive dielectric material whose permittivity is a Drude model with a time convolution operation. Numerical examples are demonstrated to show the accuracy and efficiency of the TD-TDS method.