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arXiv · 2209.00770

Light propagation in (2+1)-dimensional electrodynamics: the case of linear constitutive laws

Érico Goulart·Eduardo Bittencourt·Elliton O. S. Brandão
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Abstract

In this paper, we turn our attention to light propagation in three-dimensional electrodynamics. More specifically, we investigate the behavior of light rays in a continuous bi-dimensional hypothetical medium living in a three-dimensional ambient spacetime. Relying on a fully covariant approach, we assume that the medium is endowed with a local and linear response tensor which maps field strengths into excitations. In the geometric optics limit, we then obtain the corresponding Fresnel equation and, using well-known results from algebraic geometry, we derive the effective optical metric.

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BibTeXRIS

Érico Goulart, Eduardo Bittencourt, Elliton O. S. Brandão. 2022-12-31. Light propagation in (2+1)-dimensional electrodynamics: the case of linear constitutive laws. https://doi.org/10.1103/physreva.106.063521

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