Plane Wave Propagation in a Class of Knotted Media

We consider media with complex polarizability properties. For linear reciprocal media with arbitrary dyadic permittivity and permeability for the field components in a certain plane, analytical solution for plane eigenwaves is constructed. Such media can be modeled or practically realized as knotted media, i.e., as composite structures with inclusions in form of simple knots. Basic properties of knotted media are discussed, a simple model for the frequency dispersion of the material parameters is suggested.