By using the constitutive relation and the transform relation of time domain and frequency domain, the two dimensional (2-D) differential equations are obtained. The concepts and equations are then tested critically via a one dimensional (1-D) simulation of a propagation of a causal, pulsed plane wave in a matched, lossy Drude model double negative materials (DNM). The results show that the algorithm and the program in this paper is the correct one. The scattering from a metal cylinder coated with DNM and composite scattering from the target and a random rough surface is particular discussed. There bistatic radar cross section (RCS) shows that the DNM coat can obviously decrease the scattering wave. The conclusion means that the DNM can be used as a stealth material.
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