Analysis of exponential time-differencing for fdtd in lossy dielectrics

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We determine the stability condition and analyze the accuracy of the exponential and centered time-differencing schemes for finite-difference time-domain (FDTD) in an isotropic, homogeneous lossy dielectric with electric and magnetic conductivities σ and σ*, respectively. We show that these schemes are equivalent and determine that, for accuracy, both schemes must be used with a time step that finely resolves the electric and magnetic conduction current relaxation time scales. The implications of these results for perfectly matched layer (PML)type absorbing boundary conditions are discussed.

Original languageEnglish (US)
Pages (from-to)1054-1057
Number of pages4
JournalIEEE Transactions on Antennas and Propagation
Issue number6
StatePublished - 1997
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering


  • Fdtd methods


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