Title :
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
fDate :
4/1/2013 12:00:00 AM
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;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2012.2234074
