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We discuss by a Poynting vector analysis how the losses of a negative indexmaterial (NIM) affect the resolution performances of a Veselago-Pendry lens andwe analyze those performances in the framework of the Abbe criterion. Both thelimit of high losses and low losses are explored. We find that the impedancematched NIM is able to resolve 30% better than the limit imposed by the Abbecriterion even when the imaginary part of the refractive index (the materiallosses) exceeds the absolute value of the real part of the refractive index.The NIM is described by a lossy Drude model with equal permittivity andpermeability. By increasing the damping parameter of the Drude model we alsoexplore the regime where both permittivity and permeability are positive andpoint out the conditions under which the metamaterial is still able tosuper-resolve.

Influence of the losses on the super-resolution performances of an impedance matched negative index material