Rigorous Analysis of Numerical Phase and Group Velocity Bounds in Yee´s FDTD Grid

Author

Premaratne, Malin ; Halgamuge, Saman Kumara

Author_Institution

Monash Univ.

Volume

17

Issue

8

fYear

2007

Firstpage

556

Lastpage

558

Abstract

We present a systematic derivation of the extreme values of phase and group velocity in Yee´s finite difference time domain (FDTD) lattice with unequal aspect ratios. Using a Lagrange multiplier based approach; we derive necessary conditions that propagation vector components need to satisfy to attain extreme values in phase and group velocity. Knowledge of these extreme values is useful in designing low numerical dispersion FDTD schemes and also seeding numerical inversion routines of FDTD dispersion relations.

Keywords

dispersion (wave); electromagnetic wave propagation; finite difference time-domain analysis; Lagrange multiplier; Yee FDTD grid; Yee finite difference time domain lattice; group velocity bounds; low numerical dispersion; numerical phase; propagation vector components; systematic derivation; Anisotropic magnetoresistance; Dispersion; Finite difference methods; Frequency; Lagrangian functions; Lattices; Modeling; Optical propagation; Propagation constant; Time domain analysis; Finite difference time domain (FDTD); group velocity; phase velocity;

fLanguage

English

Journal_Title

Microwave and Wireless Components Letters, IEEE

Publisher

ieee

ISSN

1531-1309

Type

jour

DOI

10.1109/LMWC.2007.901754

Filename

4285676