Abstract—In this article, we have been studied, optics of single metamaterial and photonic metamateria. Generally single metamaterial is a composite material of negative permittivity and negative permeability or magnetic permeability which was experimentally realised in microwave region. But in my work, I have tried to understand the optics of periodic structure of dielectric and metamaterial i.e. photonic metamaterial for their potential applications. We show that a single layer of photonic metamaterial has a broad reflection property with a modest proportion of tunnelling using dispersion relation values derived from experimental data. The refractive index is close to zero in the range between the electric and magnetic dispersion relation,
and negative index materials reflect radiation for all angles of incidence & polarisation with reflectivity of 100. Furthermore, as the angle of incidence increases, the reflecting band doesn't really shift in frequency but actually widens, and some of the wave tunnel approaches zero refractive index. By increasing the spacing between the magnetic & electric plasma frequencies, operational bandwidth can be increased to 100% or more.