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

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.

12 pages, matching the published version

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Cited by in corpus (4)

• Dimensional reduction of the Dirac theory
• Remarks on the algebraic structure of (2, 2) double forms
• Light propagation in magnetoelectric materials: The role of optical coefficients in refractive index modulation
• Light propagation in (2+1)-dimensional electrodynamics: the case of nonlinear constitutive laws