Electromagnetic Herglotz dyadics in chiral media

In this paper electromagnetic Herglotz dyadics in chiral media are considered. The basic equations for dyadic electromagnetic fields in chiral media are presented and the direct scattering problem for the perfect conductor is formulated as a dyadic one. We define Beltrami Herglotz dyadics using the corresponding vector fields and the Herglotz norm as well. It is proved that a Beltrami dyadic satisfies the Herglotz condition if and only if it is a Herglotz dyadic. A representation theorem for Beltrami Herglotz dyadics is proved and a density theorem is extended to the dyadic case. A dyadic electromagnetic Herglotz pair is defined and a growth property for it is derived. It is proved that the set of all dyadic electromagnetic Herglotz pairs is dense within the set of dyadic electromagnetic pairs which solve the Maxwell-like equations for electromagnetic scattering in chiral media.