Photonic crystal lens: from negative refraction and negative index to negative permittivity and permeability.

@article{Decoopman2006PhotonicCL,
  title={Photonic crystal lens: from negative refraction and negative index to negative permittivity and permeability.},
  author={T Decoopman and G{\'e}rard Tayeb and Stefan Enoch and Daniel Maystre and Boris Gralak},
  journal={Physical review letters},
  year={2006},
  volume={97 7},
  pages={073905}
}
We consider a dielectric photonic crystal made of cylindrical holes in a high index matrix. We show that a given finite size photonic crystal can mimic a homogeneous material whose permittivity and permeability are negative. We pay attention to the limitation of the homogeneous medium model and the vital role of the truncation of the crystal. 

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