TY - JOUR
T1 - On the long-time behavior of unsplit perfectly matched layers
AU - Bécache, Eliane
AU - Petropoulos, Peter G.
AU - Gedney, Stephen D.
N1 - Funding Information:
Manuscript received September 5, 2002; revised June 2, 2003. The work of P. G. Petropoulos was supported in part by the Air Force Office of Scientific Research (AFOSR), Air Force Materials Command, USAF, under Grant F49620-02-1-0031 and in part by the National Aeronautics and Space Administration under NASA Contract NAS1-97046, while P. G. Petropoulos was in residence at ICASE, NASA Langley Research Center, Hampton, VA 23681 USA.
PY - 2004/5
Y1 - 2004/5
N2 - This paper shows how to eliminate an undesirable long-time linear growth of the electromagnetic field in a class of unsplit perfectly matched layers (PML) typically used as absorbing boundary conditions in computational electromagnetics codes. For the new PML equations, we give energy arguments that show the fields in the layer are bounded by a time-independent constant, hence they are long-time stable. Numerical experiments confirm the elimination of the linear growth, and the long-time boundedness of the fields.
AB - This paper shows how to eliminate an undesirable long-time linear growth of the electromagnetic field in a class of unsplit perfectly matched layers (PML) typically used as absorbing boundary conditions in computational electromagnetics codes. For the new PML equations, we give energy arguments that show the fields in the layer are bounded by a time-independent constant, hence they are long-time stable. Numerical experiments confirm the elimination of the linear growth, and the long-time boundedness of the fields.
KW - Finite-difference time-domain (FDTD)
KW - Perfectly matched layer
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U2 - 10.1109/TAP.2004.827253
DO - 10.1109/TAP.2004.827253
M3 - Article
AN - SCOPUS:2942592781
SN - 0018-926X
VL - 52
SP - 1335
EP - 1342
JO - IEEE Transactions on Antennas and Propagation
JF - IEEE Transactions on Antennas and Propagation
IS - 5
ER -