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Polaritonic materials, owing to a strong phonon-polariton resonance in theTHz and far-infrared parts of the electromagnetic spectrum, offer bothhigh-index dielectric and metallic response in this regime. This complexresponse makes them suitable candidates for the design of metamaterial-relatedphenomena and applications. Here we show that one type ofpolaritonic-material-based structures that are particularly suitable for theachievement of a wide range of metamaterial properties are systems ofpolaritonic rods. To study the interplay between the material and thestructural resonances in such systems we employ as model systems rods of LiFand SiC and we calculate first the scattering properties of a single rod,identifying and discussing the behavior of the different resonances fordifferent rod diameters. To analyze the response of ensembles of polaritonicrods we employ an effective medium approach based on the Coherent PotentialApproximation (CPA), which is shown to be superior to the simpleMaxwell-Garnett approximation for polaritonic and high-index dielectricmetamaterials. Calculating and analyzing the CPA effective parameters, we foundthat our systems exhibit a large variety of interesting metamaterialproperties, including hyperbolic dispersion, epsilon-near-zero and negativerefractive index response. This rich response, achievable in almost any systemof polaritonic rods, is highly engineerable by properly selecting the radiusand the filling ratio of the rods, making polaritonic rod systems an idealplatform for demonstration of multifunctional metamaterials.

Polaritonic cylinders as multifunctional metamaterials: Single scattering and effective medium description