Abstract
Permittivity in a metamaterial, which depends on the electric field of a propagating electromagnetic wave, induces anomalous responses against electromagnetic waves. When we consider discharge plasma an example of a metamaterial with field-dependent permittivity and negative permeability, a transition takes place between positive and negative permittivity, leading to reflection of waves in a low-field branch and transmission by the creation of a negative-refractive-index medium in a high-field branch. Nonlinearity in the phase space of the permittivity and the electric field in this system trigger this dynamic transition, which is suggested in the numerical results and clarified in an analytical model.
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