Stability analysis of the Green's Function Method (GFM) used as an ABC for arbitrarily shaped boundaries

Ronen Holtzman, Raphael Kastner, Ehud Heyman, Richard W. Ziolkowski

Research output: Contribution to journalArticle

33 Scopus citations

Abstract

The time-domain discrete Green's function of the external region beyond a given boundary has been recently introduced as a discretized version of the impedance condition. It is incorporated within the framework of the finite-difference time-domain (FDTD) as a quasi-local, single-layer boundary condition, termed the Green's function method (GFM). The stability characteristics of this method are provided. The analysis is based on the general representation of the method in matrix form, whose eigenvalues are investigated. This formulation helps detect and remove possible instabilities of the algorithm. A demonstration of the GFM absorbing boundary condition's (ABCs) ability to deal with re-entrant corner problems is given.

Original languageEnglish (US)
Pages (from-to)1017-1029
Number of pages13
JournalIEEE Transactions on Antennas and Propagation
Volume50
Issue number7
DOIs
StatePublished - Jul 1 2002

Keywords

  • Absorbing boundary conditions (ABCs)
  • Finite-difference time-domain (FDTD)
  • Green's function
  • Stability

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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