Left-handed materials do not make a perfect lens.

@article{Garca2002LefthandedMD,
  title={Left-handed materials do not make a perfect lens.},
  author={Nicol{\'a}s Garc{\'i}a and Manuel Nieto-Vesperinas},
  journal={Physical review letters},
  year={2002},
  volume={88 20},
  pages={
          207403
        }
}
By means of an analysis on evanescent waves in left-handed materials (LHM), we show that within a slab of such a medium, sandwiched between two positive refraction media, there is amplification of evanescent waves in ideal lossless, dispersiveless media; however, contrary to previous claims, this is limited to a finite width of the slab so that it prevents their restoration and perfect focusing. We illustrate this by considering their coupling to propagating waves through a tunnel barrier… 

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