High symmetry versus optical isotropy of a negative-index metamaterial

Christoph Menzel, Carsten Rockstuhl, Rumen Lliew, Falk Lederer, Andrei Andryieuski, Radu Malureanu, Andrei Lavrinenko

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Optically isotropic metamaterials MMs are required for the implementation of subwavelength imaging systems. At first glance one would expect that their design should be based on unit cells exhibiting a cubic symmetry being the highest crystal symmetry. It is anticipated that this is a sufficient condition since it is usually assumed that light does not resolve the spatial details of MM but experiences the properties of an effective medium, which is then optically isotropic. In this work we challenge this assumption by analyzing the isofrequency surfaces of the dispersion relation of the split cube in carcass negative index MM. We show that this MM is basically optically isotropic but not in the spectral domain where it exhibits negative refraction. The primary goal of this contribution is to introduce a tool that allows to probe a MM against optical isotropy.
Original languageEnglish
JournalPhysical Review B Condensed Matter
Issue number19
Pages (from-to)195123
Publication statusPublished - 2010

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Copyright 2010 American Physical Society

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