Giuseppe Castaldi, Silvio Savoia, Vincenzo Galdi, Andrea Alu', Nader Engheta
We show that the two-dimensional Green's function of a uniaxial (with possibly tilted optical axis) epsilon-near-zero metamaterial slab, of interest for sub-wavelength imaging, can be calculated analytically in terms of special cylindrical functions. For the near-field parameter ranges of interest, we also derive a small-argument approximation in terms of simple analytical functions. Our results, validated and calibrated against a full-wave reference solution, expand the analytical tools available for computationally-efficient, physically-incisive modeling and design of metamaterial-based sub-wavelength imaging systems.
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http://arxiv.org/abs/1205.1620
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