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Missouri University of Science and Technology

Series

2015

Discontinuous Galerkin time-domain (DGTD) method

Articles 1 - 3 of 3

Full-Text Articles in Engineering

Dgtd Analysis Of Electromagnetic Scattering From Penetrable Conductive Objects With Ibc, Ping Li, Yifei Shi, Li (Lijun) Jun Jiang, Hakan Bagci Dec 2015

Dgtd Analysis Of Electromagnetic Scattering From Penetrable Conductive Objects With Ibc, Ping Li, Yifei Shi, Li (Lijun) Jun Jiang, Hakan Bagci

Electrical and Computer Engineering Faculty Research & Creative Works

To avoid straightforward volumetric discretization, a discontinuous Galerkin time-domain (DGTD) method integrated with the impedance boundary condition (IBC) is presented in this paper to analyze the scattering from objects with finite conductivity. Two situations are considered. 1) The skin depth is smaller than the thickness of the conductive volume. 2) The skin depth is larger than the thickness of a thin conductive sheet. For the first situation, a surface impedance boundary condition (SIBC) is employed, wherein the surface impedance usually exhibits a complex relation with the frequency. To incorporate the SIBC into DGTD, the surface impedance is first approximated by …


Modeling Of Magnetized Graphene From Microwave To Thz Range By Dgtd With A Scalar Rbc And An Ade, Ping Li, Li (Lijun) Jun Jiang Oct 2015

Modeling Of Magnetized Graphene From Microwave To Thz Range By Dgtd With A Scalar Rbc And An Ade, Ping Li, Li (Lijun) Jun Jiang

Electrical and Computer Engineering Faculty Research & Creative Works

This paper presents a discontinuous Galerkin timedomain (DGTD) method for the transient analysis of magnetized graphene from the microwave to terahertz (THz) frequencies. By considering the atom thick graphene layer as an infinitely thin conductive sheet with finite surface conductivity, a frequency-dependent anisotropic resistive boundary condition (RBC) is obtained. Based on this RBC, the direct volumetric discretization of graphene layer is avoided. Instead of directly deriving the numerical flux for DGTD considering the presence of this anisotropic and dispersive RBC, an auxiliary surface polarization current governed by a first-order time-dependent partial differential equation (PDE) is introduced over the graphene with …


A Resistive Boundary Condition Enhanced Dgtd Scheme For The Transient Analysis Of Graphene, Ping Li, Li (Lijun) Jun Jiang, Hakan Baʇci Jul 2015

A Resistive Boundary Condition Enhanced Dgtd Scheme For The Transient Analysis Of Graphene, Ping Li, Li (Lijun) Jun Jiang, Hakan Baʇci

Electrical and Computer Engineering Faculty Research & Creative Works

In this paper, the electromagnetic (EM) features of graphene are characterized by a discontinuous Galerkin time-domain (DGTD) algorithm with a resistive boundary condition (RBC). The atomically thick graphene is equivalently modeled using an RBC by regarding the graphene as an infinitesimally thin conductive sheet. To incorporate RBC into the DGTD analysis, the surface conductivity of the graphene composed of contributions from both intraband and interband terms is first approximated by rational basis functions using the fast-relaxation vector-fitting (FRVF) method in the Laplace domain. Next, through the inverse Laplace transform, the corresponding time-domain matrix equations in integral can be obtained. Finally, …