Abstract
A formalism of electromagnetism covariant under the complex rotation group is first described and then discussed thoroughly, in the case of two-dimensional electromagnetic fields, in homogeneous, isotropic chiral media. As a result, we obtain the generalized Descartes-Snell laws, the Fresnel relations for reflection and refraction, as well as the Brewster condition for plane waves incident on a surface of discontinuity between chiral and achiral media.

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