30. July 2018

**BREMEN-OLDENBURG RELATIVITY SEMINAR**University of Oldenburg

Location: |
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When: | 30 July 2018 14:00 c.t. | |

Speaker: | M.Sc. Omar Jesus Franca Santiago (Institute of Nuclear Sciences National Autonomous University of Mexico) | |

Title: | Green’s function for radiation in planar θ-Electrodynamics |

**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.