1999 IEEE.
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IEEE Transactions on Antennas and Propagation
Volume 47 Number 10, October 1999
Table of Contents for this issue
Complete paper in PDF format
Evanescent Waves in PML's:
Origin of the Numerical Reflection in
Wave-Structure Interaction Problems
Jean-Pierre Berenger
Page 1497.
Abstract:
The theory of general evanescent waves in perfectly
matched layers (PML's) is presented, both in a continuous medium and in
a discretized finite-difference medium. It is shown that evanescent
waves may be strongly reflected from vacuum-PML interfaces in the
discretized case. This allows the numerical reflection observed in
wave-structure interaction problems to be interpreted as the reflection
of evanescent fields surrounding the structures.
References
-
J. De Moerloose and M. A. Stuchly, "Behavior of
Berenger's ABC for evanescent waves," IEEE
Microwave Guided Wave Lett., vol. 5, pp.
344-346, Oct. 1995.
-
W. C. Chew and J. M. Jin, "Perfectly matched layers in the
discretized space: An analysis and optimization,"
Electromagn., vol. 16, no. 4, pp.
325-340, July 1996.
-
J. Fang and Z. Wu, "Closed form expression of numerical
reflection coefficient at PML interfaces and optimization of PML
performance," IEEE Microwave Guided Wave
Lett., vol. 6, pp. 332-334, Sept. 1996.
-
J.-P. Berenger, "Perfectly matched layer for the FDTD
solution of wave-structure interaction problems,"
IEEE Trans. Antennas Propagat., vol.
44, pp. 110-117, Jan. 1996.
-
W. C. Chew and W. H. Weedon, "A 3-D perfectly matched medium
from modified Maxwell's equations with stretched coordinates,"
IEEE Microwave Opt. Tech. Lett., vol.
7, pp. 599-604, Sept. 1994.
-
J.-P. Berenger, "A perfectly matched layer for the
absorption of electromagnetic waves," J. Comput.
Phys., vol. 114, pp. 185-200, Oct. 1994.
-
--, "Three-dimensional perfectly matched layer for
the absorption of electromagnetic waves," J.
Comput. Phys., vol. 127, pp. 363-379, Sept.
1996.
-
J. A. Kong, Theory of Electromagnetic
Waves.New York: Wiley, 1975.
-
J.-P. Berenger, "Improved PML for the FDTD solution
of wave-structure interaction problems," IEEE
Trans. Antennas Propagat., vol. 45, pp. 466-473,
Mar. 1997.
-
--, "An effective PML for the absorption of evanescent
waves in waveguides," IEEE Microwave Guided Wave
Lett., vol. 8, pp. 188-190, May 1998.
-
--, "Numerical reflection of evanescent waves by PMLs:
Origin and interpretation in the FDTD case--Expected consequences
to other finite methods," Int. J. Num.
Modeling, to be published.