Using homogenization theory, we derive the effective permittivity and permeability of a wire-mesh photonic crystal from first principles. We show that this structure does not lead to a left-handed medium when it is embedded in a matrix with a negative µ, but that resonators in a medium with a negative epsi do form a left-handed medium in the correct range of frequencies.
© 2005 Optical Society of America
Didier Felbacq and Guy Bouchitté, "Left-handed media and homogenization of photonic crystals," Opt. Lett. 30, 1189-1191 (2005)