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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.

The non‐birefringent limit of all linear, skewonless media and its unique light‐cone structure