Dielectric photonic crystal as medium with negative electric permittivity and magnetic permeability

摘要

We show that a two-dimensional photonic crystal (PC) made from a non-magneticdielectric is a left-handed material in the sense defined by Veselago. Namely,it has negative values of both the electric permittivity $\epsilon$ and themagnetic permeability $\mu$ in some frequency range. This follows from arecently proven general theorem. The negative values of $\epsilon$ and $\mu$are found by a numerical simulation. Using these values we demonstrate theVeselago lens, a unique optical device predicted by Veselago. An approximateanalytical theory is proposed to calculate the values of $\epsilon$ and $\mu$from the PC band structure. It gives the results that are close to thoseobtained by the numerical simulation. The theory explains how a non-zeromagnetization arises in a non-magnetic PC.