30. July 2018

BREMEN-OLDENBURG RELATIVITY SEMINAR
University of Oldenburg

Abstract: We investigate how electromagnetic radiation is modified by the presence of a planar topological insulator (TI). To this end we employ the Green’s function method to find the electromagnetic fields resulting from the interaction between the TI and an external source. This method gives us the Green’s function (GF) in terms of the Fourier’s transverse and frequency transforms. Having obtained an analytical expression for the GF as function of the coordinates, we apply it to a charged particle moving with constant and perpendicular velocity to the TI and study its electromagnetic fields. 
We further analyze plane wave behavior of the GF using approximation methods in the far zone regime. As an application of this approximation, we study the radiation of an infinitesimal electric dipole perpendicular to the TI. We compute analytical expressions for the electric field, the angular distribution of radiated power and the total radiated power, and obtain new effects such as a phase shift due to the TI.