Piecewise linear recursive convolution finite element time domain method for electromagnetic analysis of dispersive media

The constitutive relation of dispersive media between displacement vector and electric field in time domain is complicated convolution which is hardly to calculate directly. In this paper, based on finite-element time-domain, combined total-field and scattered-field decomposition technique, the weak form solution equations including electric field E and convolution function psi for dispersive media are described, and then the plane wave in total-field region containing dispersive media is introduced. The iterative formulas of piecewise linear recursive convolution finite element time domain dealing with constitutive relation for dispersive media are derived. The far scattering field calculation of piecewise-linear recursive convolution for three kinds of general dispersive media models, i.e. Drude model, Debye model and Lorentz model is implemented.