A Discontinuous Galerkin Finite Element Time-Domain Method Modeling of Dispersive Media

Author

Gedney, Stephen D. ; Young, John C. ; Kramer, Tyler C. ; Roden, J. Alan

Author_Institution

Dept. of Electr. & Comput. Eng., Univ. of Kentucky, Lexington, KY, USA

Volume

60

Issue

4

fYear

2012

fDate

4/1/2012 12:00:00 AM

Firstpage

1969

Lastpage

1977

Abstract

A method is proposed for solving the time-dependent Maxwell´s equations via the discontinuous Galerkin finite-element time-domain (DGFETD) method with dispersive media. An auxiliary differential equation (ADE) method is used to represent the constitutive relations. The method is applied to Drude materials, as well as to multiple pole Debye and Lorentz materials. An efficient implementation for high-order Runge-Kutta time integration schemes is presented. The method is validated and is shown to exhibit high-order convergence.

Keywords

Galerkin method; Maxwell equations; differential equations; dispersive media; finite element analysis; ADE method; DGFETD method; Drude materials; Lorentz materials; auxiliary differential equation method; discontinuous Galerkin finite element time-domain method modeling; dispersive media; high-order Runge-Kutta time integration schemes; high-order convergence; multiple pole Debye materials; time-dependent Maxwell equations; Dispersion; Equations; Mathematical model; Media; Time domain analysis; Vectors; Discontinuous Galerkin methods; electromagnetic propagation in dispersive media; finite element time-domain; high-order methods;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2012.2186273

Filename

6142027