Essay On The Gravitational Properties of Negative Refractive Index Metamaterials

ABSTRACT

Metamaterials are synthetic materials that exhibit properties not usually found in natural materials. One such property that has beenof great importance to the study of optics is a negative refractive index within the metamaterial. This property implies negative permeabilityand permittivity for the metamaterial. Using and deriving the electro-magnetic stress energy tensor in Minkowski space as an approximationin the weak field limit, the gravitational curvature effects of such meta-materials will be investigated. The basic example of a capacitor andinductor will be used to illustrate the mathematical results.