On the long-time behavior of unsplit perfectly matched layers

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

Research output: Contribution to journalArticlepeer-review

115 Scopus citations


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 languageEnglish (US)
Pages (from-to)1335-1342
Number of pages8
JournalIEEE Transactions on Antennas and Propagation
Issue number5
StatePublished - May 2004

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering


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


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