A Review of Perfectly Matched Absorbers for the Finite-Volume Time-Domain Method
Keywords:
A Review of Perfectly Matched Absorbers for the Finite-Volume Time-Domain MethodAbstract
Different implementations of planar per-
fectly matched absorbers are studied under the unified
framework of the Finite-Volume Time-Domain (FVTD)
method. This comparative analysis allows to discuss the
similarities existing between the theoretical models and
explores the differences in their practical implementation
and numerical performance in the framework of the
FVTD method. Numerical experiments for performance
analysis of the different PML models are conducted
in terms of discretization and angle of incidence using
waveguide models. The results are compared to theoreti-
cally expected values and to the first-order Silver M ̈uller
absorbing boundary condition.
Downloads
References
J.-P. B ́erenger, “A perfectly matched layer for the
absorption of electromagnetic waves,” Journal of
Computational Physics, vol. 114, no. 2, pp. 185–
, 1994.
Z. Sacks, D. Kingsland, R. Lee, and J.-F. Lee, “A
perfectly matched anisotropic absorber for use as an
absorbing boundary condition,” IEEE Transactions
on Antennas and Propagation, vol. 43, no. 12, pp.
–1463, December 1995.
T. Rylander and J.-M. Jin, “Perfectly matched layer
in three dimensions for the time-domain finite ele-
ment method applied to radiation problems,” IEEE
Transactions on Antennas and Propagation, vol. 53,
no. 4, pp. 1489–1499, April 2005.
F. Bonnet and F. Poupaud, “B ́erenger absorbing
boundary condition with time finite-volume scheme
for triangular meshes,” Applied Numerical Mathe-
matics, vol. 25, no. 4, pp. 333–354, December 1997.
K. Sankaran, C. Fumeaux, and R. Vahldieck, “Cell-
centered finite-volume based perfectly matched layer
for time domain Maxwell system,” IEEE Transac-
tions on Microwave Theory and Technique, vol. 54,
no. 3, pp. 1269–1276, March 2006.
——, “Uniaxial and radial anisotropy models for
finite-volume Maxwellian absorber,” IEEE Transac-
tions on Microwave Theory and Technique, vol. 54,
no. 12, pp. 4297–4304, December 2006.
L. Zhao and A. Cangellaris, “GT-PML: General-
ized theory of perfectly matched layers and its
application to the reflectionless truncation of finite-
difference time-domain grids,” IEEE Transactions
on Microwave Theory and Techniques, vol. 44,
no. 12, pp. 2555–2563, December 1996.
M. Kuzuo ̆glu and R. Mittra, “Frequency dependence
of the constitutive parameters of causal perfectly
matched absorbers,” IEEE Microwave Guided Wave
Letters, vol. 6, pp. 447–449, December 1996.
A. Roden and S. Gedney, “Convolution PML
(CPML): an efficient FDTD implementation of the
CFS-PML for arbitrary media,” Microwave and Op-
tical Technology Letters, vol. 27, no. 5, pp. 334–339,
K. Sankaran, T. Kaufmann, C. Fumeaux, and
R. Vahldieck, “Different perfectly matched absorbers
for conformal time-domain method: A finite-volume
time-domain perspective,” in 23rd Annual Review of
Progress in Applied Computational Electromagnet-
ics (ACES), Verona, Italy, March 2007.
KAUFMANN, SANKARAN, FUMEAUX, VAHLDIECK: REVIEW OF PERFECTLY MATCH ABSORBERS FOR FVTD
S. Gedney, “An anisotropic perfectly matched layer-
absorbing medium for the truncation of FDTD lat-
tices,” IEEE Transactions on Antennas and Propa-
gation, vol. 44, no. 12, pp. 1630–1639, December
P. Bonnet, X. Ferrieres, B. Michielsen, P. Klotz, and
J. Roumigui ́eres, Time Domain Electromagnetics.
S. M. Rao, Ed., Academic Press, 1997, ch. 9, pp.
–367.
J.-P. B ́erenger, “Three-dimensional perfectly
matched layer for the absorption of electromagnetic
waves,” Journal of Computational Physics, vol.
, no. 2, pp. 363–379, September 1996.
R. W. Ziolkowski, “The design of Maxwellian ab-
sorbers for numerical boundary conditions and for
practical applications using engineered artificial ma-
terials,” IEEE Transactions of Antennas and Propa-
gation, vol. 45, no. 4, pp. 656–671, April 1997.
W. C. Chew and W. H. Weedon, “A 3D perfectly
matched medium from modified Maxwell’s equa-
tions with stretched coordinates,” Microwave Optics,
vol. 114, no. 2, pp. 185–200, 1994.
J.-P. B ́erenger, “Application of the CFS PML to
the absorbtion of evanescent waves in waveguides,”
IEEE Microwave and Wireless Components Letters,
vol. 12, no. 6, pp. 218–220, 2002.
S. Gedney, “Perfectly matched layer absorbing
boundary conditions,” in The Finite-Difference Time-
Domain Method, A. Taflove and S. C. Hagness, Eds.
Artech House Inc., 2005.
D. Baumann, C. Fumeaux, and R. Vahldieck, “Field-
based scattering-matrix extraction scheme for the
FVTD method exploiting a flux-splitting algorithm,”
Microwave Theory and Techniques, IEEE Transac-
tions on, vol. 53, no. 11, pp. 3595– 3605, 2005.
W. K. Gwarek and M. Celuch-Marcysiak, “Wide-
band S-parameter extraction from FD-TD simula-
tions for propagating and evanescent modes in in-
homogeneous guides,” Microwave Theory and Tech-
nique, IEEE Transactions on, vol. 51, no. 8, pp.
–1928, 2003.
——, “A differential method of reflection coef-
ficient extraction from FDTD simulations,” IEEE
Microwave and Guided Waves Letters, vol. 6, no. 5,
pp. 1920–1928, 1996.


