Vortex-like surface wave and its role in the transient phenomena of meta-material focusing
Abstract
We show that a slab of meta-material (with $\epsilon=\mu=-1+i\Delta$) possesses a vortex-like surface wave with no ability to transport energy, whose nature is completely different from a localized mode or a standing wave. Existence of such a mode inevitably generates characteristic image oscillations in two dimensional focusing with even a monochromatic source, which were observed in many numerical simulations, but such oscillations are weak in three dimensional focusing. We apply a rigorous time-dependent Green's function approach to establish relationships among important quantities involved in super lens focusing, including the relaxation time, the resolution enhancement and the parameter deviation from perfect lens condition.Keywords
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