Dispersive Periodic Boundary Conditions for Finite-Difference Time-Domain Method

Author

ElMahgoub, Khaled ; Elsherbeni, Atef Z. ; Fan Yang

Author_Institution

Dept. of Electr. Eng., Univ. of Mississippi, Oxford, MS, USA

Volume

60

Issue

4

fYear

2012

fDate

4/1/2012 12:00:00 AM

Firstpage

2118

Lastpage

2122

Abstract

A dispersive periodic boundary condition (DPBC) is developed for the finite-difference time-domain method to analyze periodic structures with dispersive media on the boundaries of a unit cell. The formulation is based on the auxiliary differential equation (ADE) method with a two-term Debye model and the constant horizontal wavenumber approach. The developed formulation is easy to implement and is efficient in both memory usage and computational time. The validity of this formulation is verified through several numerical examples such as infinite dispersive slab and sandwiched composite frequency selective surface (FSS) structure.

Keywords

computational electromagnetics; differential equations; dispersive media; electromagnetic wave scattering; finite difference time-domain analysis; periodic structures; auxiliary differential equation; computational time; constant horizontal wavenumber approach; dispersive media; dispersive periodic boundary conditions; finite difference time-domain method; infinite dispersive slab; memory usage; periodic structures; sandwiched composite frequency selective surface; two-term Debye model; unit cell boundary; Dispersion; Equations; Finite difference methods; Mathematical model; Media; Periodic structures; Time domain analysis; Auxiliary differential equation; Debye model; dispersive media; finite-difference time-domain (FDTD); periodic boundary conditions (PBC);

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2012.2186243

Filename

6143983