Scalar potential formalism for uniaxial bianisotropic media

In this contribution we will show how an electromagnetic field representation in terms of two scalar Hertz potentials can be derived for general uniaxial bianisotropic media. The representation is valid in all space with or without the presence of axial sources in the medium. Bianisotropic uniaxial media are currently being intensively studied. A simple physical model of such a material visualizes a random dispersion of electrically small uniaxial objects in an isotropic host medium. The resulting homogenised composite is either axially or transversely bianisotropic depending on the orientation statistics of the inclusions. Such novel materials can play an important role in technological applications. It is therefore essential to gain a sound theoretical understanding of the electromagnetic properties of various materials and develop efficient mathematical formalisms.