Metamaterials are artificial materials engineered to have properties that are not found in nature. They derive their properties from their structure rather than composition. Depending on their structure, metamaterials can have a refractive index less than 1 or even negative refractive index. Left-handed materials have a negative refractive index. While natural materials cannot simultaneously exhibit negative permittivity and permeability, metamaterials can be designed with these properties. Potential applications of metamaterials include antennas, superlenses beyond the diffraction limit, cloaking devices, and modeling conditions of the big bang.