Derivation and application of a passive equivalent circuit for the finite difference time domain algorithm
| Autor: | Ian J Craddock, J. P. McGeehan, C.J. Railton |
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| Rok vydání: | 1996 |
| Předmět: |
Stability criterion
General Engineering Finite-difference time-domain method Finite difference method General Physics and Astronomy FDTD algorithm Topology law.invention law Electrical network Equivalent circuit Standard algorithms finite difference time-domain analysis Algorithm Dynamic and formal equivalence Numerical stability Mathematics |
| Zdroj: | Craddock, IJ, Railton, CJ & McGeehan, JP 1996, ' Derivation and application of a passive equivalent circuit for the finite difference time domain algorithm ', IEEE MICROWAVE AND GUIDED WAVE LETTERS, vol. 6, no. 1, 1, pp. 40-42 . https://doi.org/10.1109/75.482065 |
| ISSN: | 1051-8207 |
| DOI: | 10.1109/75.482065 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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