Title :
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
fDate :
6/1/2006 12:00:00 AM
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;
Journal_Title :
Microwave and Wireless Components Letters, IEEE
DOI :
10.1109/LMWC.2006.875619
