Analysis of exponential time-differencing for FDTD in lossydielectrics |
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Authors: | Petropoulos PG |
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Affiliation: | Dept. of Math., Southern Methodist Univ., Dallas, TX; |
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Abstract: | 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 |
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