This report describes the theory of metamaterials and its utilization for antenna's techniques. Metamaterials exhibit qualitatively new electromagnetic response functions that can not be found in the nature. The present report reviews basic historical aspects of the meta-environments theory development. Also the role of Veselago, the well-know theorist of negative refraction index metastructures whose 80 anniversary is celebrated in present year is emphasized as well as the role of other scientists.