PLANE-WAVE PROPAGATION IN A CLASS OF KNOTTED MEDIA

We consider media with complex polarizability properties. For linear r eciprocal media with arbitrary dyadic permittivity and permeability fo r the field components in a certain plane, analytical solution for pla ne eigenwaves is constructed. Such media can be modeled or practically realized as knotted media, i.e., as composite structures with inclusi ons in form of simple knots. Basic properties of knotted media are dis cussed, a simple model for the frequency dispersion of the material pa rameters is suggested.