Radiation from chiral slabs and cylinders with zero permittivity

The possibility to simulate an effective medium with a permittivity close to zero in some frequency band with as consequence that such a medium suitably excited behaves for the outside world as an ultrarefractive antenna with a narrow radiation pattern was recently proved. We prove here that slabs and cylinders made of a Tellegen chiral metamaterial with zero permittivity excited with a time harmonic filamentous current respecting the symmetry of these structures constitute ultrarefractive antennas. We also analyze the equations satisfied by the electromagnetic field inside and outside a metaTellegen paraboloid of revolution excited with an electric current running along its axis.