Superluminal transmission of information through an electromagnetic metamaterial.

A passive, matched two-time-derivative Lorentz material medium is designed to have its equivalent permittivity and permeability smaller than their values in free space over a large range of frequencies. Superluminal pulse propagation in this medium and consequent superluminal information exchange without a violation in causality are demonstrated. Additional properties of this medium are developed including the energy in it and the force characteristics induced on it by electromagnetic field interactions. It is shown that the force on the medium can be made to be attractive or repulsive using a change in frequency or a change in the material characteristics. Potential applications are discussed.