Bounds on Metamaterials — Theoretical and Experimental Results
A dispersion relation for the combined effect of scattering and absorption of electromagnetic waves is employed. By invoking the optical theorem, the result states that the extinction cross section integrated over all frequencies is related to the static polarizability dyadics. In particular, it is established that the integrated extinction is the same for all materials having identical static properties, irrespectively whether the permittivity or the permeability have negative real parts at non-zero frequencies or not. The theory is illustrated numerically, and, moreover, it is verified experimentally on a sample consisting of a single-layer planar array of capacitive resonators claimed to form a negative permittivity metamaterial. It is concluded that the theory is in good agreement with measurements in the microwave region.
KeywordsFrequency Interval Optical Theorem Extinction Cross Section Lorentz Model Herglotz Function
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