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A fourth-order accurate in space and second-order accurate in time, Finite-Difference Time-Domain (FDTD) scheme for wave propagation in lossy dispersive media is presented. The formulation of Maxwell's equations is fully described and an elaborate study of the stability and dispersion properties of the resulting algorithm is conducted. The efficiency of the proposed FDTD(2,4) technique compared to its conventional FDTD(2,2) counterpart is demonstrated through numerical results.

Finite-difference time-domain (FDTD) schemes based on the bilinear z-transform are introduced for modelling time-domain wave propagation in dispersive Drude-critical points media. The accuracy and efficiency of the proposed technique are verified by comparisons with other FDTD algorithms and analytical solutions.

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