Effective Permittivity Scheme for ADI-FDTD Method at the Interface of Dispersive Media
Keywords:
Effective Permittivity Scheme for ADI-FDTD Method at the Interface of Dispersive MediaAbstract
This paper presents an effective permittivity
scheme to treat the dispersive media interfaces in ADI-
FDTD method so as to avoid significant error due to
improper assignment of media permittivity. In order to
reduce the extra memory storage and computation
operation required, a reduced-order modeling method is
introduced to our scheme, which can simplify the
programming work as well and therefore has a significant
practical meaning. One numerical experiment will be
performed to illustrate the procedure and effect of this
effective permittivity scheme. The stability analysis of
the updating equations will also be discussed.
Downloads
References
K. S. Yee, “Numerical solution of initial boundary
value problem involving Maxwell’s equations in
FU, TAN: EFFECTIVE PERMITTIVITY SCHEME FOR ADI-FDTD AT INTERFACE OF DISPERSIVE MEDIA
isotropic media,” IEEE Trans. Antennas and
Propagation, vol. 14, no. 4, pp. 302-307, Apr. 1966.
T. Hirono, Y. Shibata, W. W. Lui, S. Seki, and Y.
Yoshikuni, “The second-order condition for the
dielectric interface orthogonal to the Yee-Lattice axis
in the FDTD scheme,” IEEE Microwave and
Wireless Components Lett. , vol. 10, no. 9, pp. 359-
, Sep. 2000.
K.-P. Hwang and A. C. Cangellaris, “Effective
permittivities for second-order accuracy FDTD
equations at dielectric interfaces,” IEEE Microwave
and Wireless Components Lett. , vol. 11, no. 4, pp.
-160, Apr. 2001.
D. Popovic and M. Okoniewski, “Effective
permittivity at the interface of dispersive dielectrics
in FDTD”, IEEE Microwave and Wireless
Components Lett. , vol. 13, no. 7, pp. 265-267, July
T. Namiki, “A new FDTD algorithm based on
alternating direction implicit method,” IEEE Trans.
Microwave Theory and Techniques, vol. 47, no. 10,
pp. 2003-2007, Oct. 1999.
F. Zheng, Z Chen, and J. Zhang, “Toward the
development of a Three-Dimensional
Unconditionally stable finite-difference time-domain
method,” IEEE Trans. Microwave Theory
Techniques, vol. 48, no. 9, pp. 1550-1558, Sep. 2000.
J. Chen, Z. Wang, and Y. Chen, “Higher-order
alternative direction implicit FDTD method,”
Electronics Lett., vol. 38, no. 22, pp. 1321-1322, Oct.
M. Wang, Z. Wang, and J. Chen, “A parameter
optimized ADI-FDTD method,” IEEE Antennas
Wireless Propagation Lett., vol. 2, no. 1, pp. 118-121,
W. Fu and E. L. Tan, “A parameter optimized ADI-
FDTD method based on the (2,4) stencil,” IEEE
Trans. Antennas and Propagation, vol. 54, no. 6, pp.
-1842, June 2006.
X. T. Dong, N. V. Venkatarayalu, B. Guo, W. Y.
Yin, and Y. B. Gan, “General formulation of
unconditionally stable ADI-FDTD method in linear
dispersive media,” IEEE Trans. Microwave Theory
and Techniques, vol. 52, no. 1, pp. 170-174, Jan.
S. Pan and L. J. Pal, “Reduced-order modeling of
discrete-time system,” Applied Mathematical
Modeling, vol. 19, no. 3, pp. 133-138, Mar. 1995.
O. P. Gandhi, B.-Q. Gao, and J.-Y. Chen, “A
frequency-dependent finite-difference time-domain
formulation for general dispersive media,” IEEE
Trans. Microwave Theory and Techniques , vol. 41,
no. 4, pp. 658-665, Apr. 1993.
O. P. Gandhi and C. M. Furse, “Currents induced in
the human body for exposure to ultrawideband
electromagnetic pulse,” IEEE Trans.
Electromagnetic compatibility, vol. 39, no. 2, pp.
-180, May 1997.
J. D. Hoffman, Numerical methods for engineers and
scientists, McGraw-Hill, Inc, 1993.
A. Pereda, L. A. Vielva, A. Vegas, and A. Prieto,
“Analyzing the stability of the FDTD technique by
combining the von Neumann method with the Routh-
Hurwitz criterion,” IEEE Trans. Microwave Theory
and Techniques, vol. 49, no. 2, pp. 377-381, Feb.
