On the long-time behavior of unsplit perfectly matched layers

Eliane Bécache; Peter G. Petropoulos; Stephen D. Gedney

doi:10.1109/TAP.2004.827253

On the long-time behavior of unsplit perfectly matched layers

Eliane Bécache, Peter G. Petropoulos, Stephen D. Gedney

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

120 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	1335-1342
Number of pages	8
Journal	IEEE Transactions on Antennas and Propagation
Volume	52
Issue number	5
DOIs	https://doi.org/10.1109/TAP.2004.827253
State	Published - May 2004

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

Keywords

Finite-difference time-domain (FDTD)
Perfectly matched layer

Access to Document

10.1109/TAP.2004.827253

Cite this

@article{294141b187fe4639b65344df2a2f2090,

title = "On the long-time behavior of unsplit perfectly matched layers",

abstract = "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.",

keywords = "Finite-difference time-domain (FDTD), Perfectly matched layer",

author = "Eliane B{\'e}cache and Petropoulos, \{Peter G.\} and Gedney, \{Stephen D.\}",

note = "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.",

year = "2004",

month = may,

doi = "10.1109/TAP.2004.827253",

language = "English (US)",

volume = "52",

pages = "1335--1342",

journal = "IEEE Transactions on Antennas and Propagation",

issn = "0018-926X",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "5",

}

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

UR - https://www.scopus.com/pages/publications/2942592781

UR - https://www.scopus.com/inward/citedby.url?scp=2942592781&partnerID=8YFLogxK

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 -

On the long-time behavior of unsplit perfectly matched layers

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this