Research on the macro effect of the thin wire array in metamaterial by equivalent circuit method

In this paper, the equivalent circuit for modeling the thin wire array in metamaterial is proposed. The macro effect of the thin wire array can be clearly described by the equivalent circuit method, while a plane wave is propagating through it, according to the response of the thin wire array to the incident electromagnetic wave and the equivalence relation of uniform medium and uniform transmission line. In addition, the effective permittivity model of the asymmetric wire array is derived based on the transmission line theory. The validity of the model is proven by numerical simulations. The description of mathematical derivation exhibits clear physical concepts and provides a new approach for better understanding of the negative permittivity effect of the thin wire array