Dual hyperbolic-elliptic media

Carlos J. Zapata-Rodríguez; David Pastor; Pablo Cencillo; Mario Avellaneda; Slobodan Vukovic; Juan J. Miret

doi:10.1117/12.922118

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1 May 2012 Dual hyperbolic-elliptic media

Carlos J. Zapata-Rodríguez, David Pastor, Pablo Cencillo, Mario Avellaneda, Slobodan Vukovic, Juan J. Miret

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Proceedings Volume 8423, Metamaterials VII; 84231Z (2012) https://doi.org/10.1117/12.922118
Event: SPIE Photonics Europe, 2012, Brussels, Belgium

Abstract

Recent disclosures on subwavelength plasmonic crystals, like the potential excitation of a pair of coexisting wave-fields with opposite refraction, only can be understood by considering two dispersion branches with completely different features that characterize the metamaterial. One branch gives elliptic-like dispersion and the other provides hyperbolic-like dispersion. However the effective medium approximation, also known as Rytov approximation, is not consistent with both curves simultaneously. We follow an approach leading to a single curve that allows a complete description of both diffraction behaviors concurrently. Importantly only two parameters of the closed curve, together with the lattice period, fulfill such a complete picture. In addition, our semi-analytical approach may include more general situations straightforwardly.

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Carlos J. Zapata-Rodríguez, David Pastor, Pablo Cencillo, Mario Avellaneda, Slobodan Vukovic, and Juan J. Miret "Dual hyperbolic-elliptic media", Proc. SPIE 8423, Metamaterials VII, 84231Z (1 May 2012); https://doi.org/10.1117/12.922118

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