What is the physical significance of materials with a very small or negative real permittivity, which gives rise to a complex refractive index. as n=√ε
(not discuss about metamaterials, just for negative permittivity. )
metamaterials have negative permittivity and negative permeability. This occurs in some region above a resonance. Metals naturally have negative permittivity, though it is unclear whether this is always the case. What this means is that the electric displacement vector D and electric field are 180 degrees out of phase, which can lead to negative pemittivity and negative permeability. Reference: https://www.physicsforums.com/threads/what-exactly-does-negative-permittivity-mean.686819/