On the dispersion relation of ADI-FDTD

Author

Garcia, Salvador G. ; Rubio, R. Godoy ; Bretones, A. Rubio ; Martín, R. Gómez

Author_Institution

Granada Univ., Spain

Volume

16

Issue

6

fYear

2006

fDate

6/1/2006 12:00:00 AM

Firstpage

354

Lastpage

356

Abstract

In this letter, we analyze the alternating direction implicit finite-difference time-domain (ADI-FDTD) dispersion relation and find the numerical plane-wave relationship between the magnetic and electric fields, showing that the scheme is not divergence-free. We also show that negative-group-velocity modes with positive phase velocities may appear for high Courant numbers. A parallel comparison is made with the behavior of the classical Yee FDTD and the Crank-Nicolson schemes.

Keywords

dispersion (wave); dispersion relations; electromagnetic wave propagation; finite difference time-domain analysis; ADI-FDTD; Courant numbers; Crank-Nicolson scheme; Yee FDTD; alternating direction implicit finite-difference time-domain; dispersion relation; electric fields; magnetic fields; numerical plane-wave relationship; Dispersion; Finite difference methods; Fourier series; Frequency; Magnetic analysis; Maxwell equations; Region 1; Sparse matrices; Time domain analysis; Vectors; Alternating direction implicit finite-difference time-domain (ADI–FDTD); dispersion;

fLanguage

English

Journal_Title

Microwave and Wireless Components Letters, IEEE

Publisher

ieee

ISSN

1531-1309

Type

jour

DOI

10.1109/LMWC.2006.875619

Filename

1637493