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

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3 Author(s)
Craddock, I.J. ; Centre for Commun. Res., Bristol Univ., UK ; Railton, C.J. ; McGeehan, J.P.

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

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Microwave and Guided Wave Letters, IEEE  (Volume:6 ,  Issue: 1 )