Derivation and application of a passive equivalent circuit for the finite difference time domain algorithm

IJ Craddock, CJ Railton, JP McGeehan

Research output: Contribution to journalArticle (Academic Journal)peer-review

25 Citations (Scopus)
287 Downloads (Pure)


The widely used finite difference time domain (FDTD) algorithm in its standard form is conditionally stable, the condition being the well-known Courant criterion. Much research has focussed on modifying the standard algorithm to improve its characterisation of geometrical detail and curved surfaces; these modified algorithms, however, may easily be conditionally stable - there is no value of time step that stabilizes the algorithm. The authors present a passive electrical circuit that, by virtue of its formal equivalence with FDTD, provides a criterion by which unconditionally unstable algorithms may be avoided. As an example the passive circuit criterion is used to remove the instability from a contour-path FDTD algorithm.
Translated title of the contributionDerivation and application of a passive equivalent circuit for the Finite Difference Time Domain algorithm
Original languageEnglish
Article number1
Pages (from-to)40 - 42
Issue number1
Publication statusPublished - Jan 1996

Bibliographical note

Rose publication type: Journal article

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  • finite difference time-domain analysis
  • FDTD algorithm


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