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The application of the finite-difference-time-domain (FDTD) method to propagation through a highly conductive nonlinear magnetic material is described. The FDTD calculations will require changing the permeability of the material at each time step based on the value of the magnetic field at the previous time step. The effects of the high conductivity and magnetic material nonlinearity on the stability of the FDTD calculation is investigated. Stability requires reduction of the time-step size to well below the Courant limit. Accuracy is demonstrated by comparison with previously published results.>
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Luebbers et al. (1993) studied this question.
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