Abstract
The recursive convolution (RC), piecewise linear recursive convolution (PLRC), and auxiliary differential equation (ADE) techniques are newly introduced into the implicit locally one-dimensional finite-difference time-domain method (LOD-FDTD) for the efficient analysis of dispersive media. The performance of each method is investigated through analysis of an optical waveguide with a metal cladding expressed in a Drude model. It is shown that the results of the PLRC- and ADE-LOD-FDTDs with Δt=10ΔtCFL, in which ΔtCFL is determined by the Courant-Friedrich-Levy condition, agree well with the result of the explicit FDTD, with the computational time being reduced to less than 30% of that of the explicit FDTD.
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