P. Hillion, MANIFESTLY COVARIANT FORMALISM FOR ELECTROMAGNETISM IN CHIRAL MEDIA, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 47(2), 1993, pp. 1365-1374
A formalism of electromagnetism covariant under the complex rotation g
roup is first described and then discussed thoroughly, in the case of
two-dimensional electromagnetic fields, in homogeneous, isotropic chir
al media. As a result, we obtain the generalized Descartes-Snell laws,
the Fresnel relations for reflection and refraction, as well as the B
rewster condition for plane waves incident on a surface of discontinui
ty between chiral and achiral media.