Characterization of the Numerical Group Velocity in Yee´s FDTD Grid

Author

Valcarce, Alvaro ; Song, Hui ; Zhang, Jie

Author_Institution

Centre for Wireless Network Design (CWiND), Univ. of Bedfordshire, Luton, UK

Volume

58

Issue

12

fYear

2010

Firstpage

3974

Lastpage

3982

Abstract

A method is introduced for the optimization of the numerical group velocity in standard finite-difference time-domain (FDTD) electromagnetic simulations. Through this method analytical expressions for the extrema of are presented for the first time, thus also characterizing its anisotropy. The knowledge of these expressions is hence essential for the evaluation of the anisotropy error in FDTD-based electrodynamics simulations of the propagation of wavepackets in 2D and 3D. This can be of assistance, for example, in the design of error-bounded FDTD simulations with pulsed sources at low computational cost.

Keywords

electromagnetic wave propagation; finite difference time-domain analysis; optimisation; FDTD grid; FDTD-based electrodynamic simulations; anisotropy error evaluation; error-bounded FDTD simulations; finite-difference time-domain electromagnetic simulations; numerical group velocity optimization; wavepacket propagation; Anisotropic magnetoresistance; Dispersion; Equations; Finite difference methods; Optimization; Three dimensional displays; Time domain analysis; Anisotropy; extrema; finite-difference time-domain (FDTD); group velocity; optimization; wideband;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2010.2078453

Filename

5582258