Eliminating Interface Reflections in Hybrid Low-Dispersion FDTD Algorithms
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Eliminating Interface Reflections in Hybrid Low-Dispersion FDTD AlgorithmsAbstract
The numerical phase mismatch across FDTD lattice layers with different sets of update equations has been investigated. A predictive equation of numerical reflections across high-order/low-order layers has been derived. Based on this equation the standard Yee (S22) update equations have been modified to allow their implementation around PEC boundaries and other special situations in an otherwise global high-order implementation, while keeping spurious reflections at the hybrid interface to a practical minimum and independent of the traversing wave direction. S22 Phase matching has been developed and verified in both S24 and M24 high-order hybrid algorithms.
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References
K. L. Shlager and J. B. Schneider, “Comparison of
the dispersion properties of several low-dispersion
finite-difference time-domain algorithms,” IEEE
Trans. Antennas Propagat., vol. 51, no. 3, pp. 642–
, Mar. 2003.
E. A. Forgy and W. C. Chew, “A time-domain
method with isotropic dispersion and increased
stability on an overlapped lattice,” IEEE Trans.
Antennas Propagat., vol. 50, no. 7, pp. 983–996,
July 2002.
J. B. Cole, “A high-accuracy realization of the Yee
algorithm using non-standard finite differences,”
IEEE Trans. Microwave Theory Tech., vol. 45,
no. 6, pp. 991–996, June 1997.
M. F. Hadi and M. Piket-May, “A modified FDTD
(2,4) scheme for modeling electrically large struc-
tures with high-phase accuracy,” IEEE Trans. An-
tennas Propagat., vol. 45, no. 2, pp. 254–264, Feb.
G. J. Haussmann, “A dispersion optimized three-
dimensional finite-difference time-domain method
for electromagnetic analysis,” Ph.D. dissertation,
University of Colorado at Boulder, Boulder, CO,
S. V. Georgakopoulos, R. A. Renaut, C. A. Bal-
anis, and C. R. Birtcher, “A hybrid fourth-order
FDTD utilizing a second-order FDTD subgrid,”
IEEE Microwave Wireless Compon. Lett., vol. 11,
no. 11, pp. 462–464, Nov. 2001.
M. Celuch-Marcysiak, “Extended study of poynt-
ing theorem and reciprocity on nonuniform fdtd
meshes,” IEE Proc.-Sci. Meas. Technol., vol. 151,
no. 6, pp. 452–455, Nov. 2004.
M. Celuch-Marcysiak and J. Rudnicki, “A study of
numerical reflections caused by fdtd mesh refine-
ments in 1d and 2d,” 15th Ann. Conf. Microwave
Radar Wireless Comm., Warsaw, Poland, pp. 626–
, May 2004.
M. Celuch-Marcysiak and W. K. Gwarek, “On the
nature of solutions produced by finite difference
schemes in time domain,” Int. J. Numerical Mod-
elling: Electronic Networks, Devices and Fields,
vol. 12, no. 1–2, pp. 23–40, Jan.–Apr. 1999.
J. B. Schneider, “Plane waves in FDTD simu-
lations and a nearly perfect total-field/scattered-
field boundary,” IEEE Trans. Antennas Propagat.,
vol. 52, no. 12, pp. 3280–3287, Dec. 2004.
ACES JOURNAL, VOL. 22, NO. 3, NOVEMBER 2007
C. M. Furse, D. H. Roper, D. N. Buechler, D. A.
Christensen, and C. H. Durney, “The problem and
treatment of DC offsets in FDTD simulations,”
IEEE Trans. Antennas Propagat., vol. 48, no. 58,
pp. 1198–1201, Aug. 2000


