The non-birefringent limit of all linear, skewonless media and its unique light-cone structure
arXiv:1008.2343 · doi:10.1002/andp.201000140
Abstract
Based on a recent work by Schuller et al., a geometric representation of all skewonless, non-birefringent, linear media is obtained. The derived constitutive law is based on a "core", encoding the optical metric up to a constant. All further corrections are provided by two (anti-)selfdual bivectors, and an "axion". The bivectors are found to vanish if the optical metric has signature (3,1) - that is, if the Fresnel equation is hyperbolic. We propose applications of this result in the context of transformation optics and premetric electrodynamics.
arXiv comment12 pages, REVTeX; v2: typos; v3: relevant changes in text, reorganization of manuscript; v4: new section added, final version, to appear in Annalen der Physik
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