FDTD on Face-Centered Cubic (FCC) Grids for Maxwell´s Equations

Author

Potter, M.E. ; Nauta, M.D.

Author_Institution

Univ. of Calgary, Calgary, AB, Canada

Volume

61

Issue

4

fYear

2013

fDate

4/1/2013 12:00:00 AM

Firstpage

2116

Lastpage

2122

Abstract

The standard FDTD method for Maxwell´s equations is reformulated on face-centered cubic (FCC) grids as an alternative to the standard Cartesian (Yee) grid. Dispersion and stability for the formulation are also presented, and a comparison is made with the standard FDTD formulation using the metric of equal volume density of gridpoints. Although the new formulation has four times as many lattice points per unit voxel in comparison with the standard formulation, the new formulation shows much better grid isotropy. Furthermore, the new formulation has a stability criterion that is approximately 1.4 times more relaxed than that of the standard formulation.

Keywords

Maxwell equations; computational electromagnetics; finite difference time-domain analysis; FCC grid; FDTD; Maxwell equation; face-centered cubic; face-centered cubic grid; grid isotropy; gridpoint equal volume density; stability criterion; standard Cartesian grid; standard FDTD formulation; standard FDTD method; unit voxel; Dispersion; Equations; FCC; Finite difference methods; Mathematical model; Power system stability; Stability analysis; FDTD methods; Finite difference methods; numerical dispersion;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2012.2234074

Filename

6381464