The Electromagnetic Green's Function for Layered Topological Insulators

Abstract

The dyadic Green's function of the inhomogeneous vector Helmholtz equation describes the field pattern of a single frequency point source. It appears in the mathematical description of many areas of electromagnetism and optics including both classical and quantum, linear and nonlinear optics, dispersion forces (such as the Casimir and Casimir-Polder forces) and in the dynamics of trapped atoms and molecules. Here, we compute the Green's function for a layered topological insulator. Via the magnetoelectric effect, topological insulators are able to mix the electric, E, and magnetic induction, B, fields and, hence, one finds that the TE and TM polarizations mix on reflection from/transmission through an interface. This leads to novel field patterns close to the surface of a topological insulator.

16 pages, 9 figures

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Cited by in corpus (21)

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• Electromagnetic description of three-dimensional time-reversal invariant ponderable topological insulators
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• Casimir-Polder Shift and Decay Rate in the Presence of Nonreciprocal Media
• The Casimir effect in topological matter
• Optical response of a topological-insulator--quantum-dot hybrid interacting with a probe electric field
• Axial Casimir Force
• Quantum Atmospherics for Materials Diagnosis
• Magnetoelectric effect in cylindrical topological insulators
• Interaction of a hydrogenlike ion with a planar topological insulator
• Optical properties of topological insulator Bragg gratings: Faraday rotation enhancement for TM polarized light at large incidence angles
• Modification of transition radiation by three-dimensional topological insulators
• New polarization rotation and exact TEM wave solutions in topological insulators
• Using graphene conductors to enhance the functionality of atom-chips
• Vavilov-Cherenkov radiation for parallel motion in three-dimensional topological insulators
• Dyadic Greens function for a topological insulator stratified sphere
• Ground state and polarization of an hydrogen-like atom near a Weyl semimetal
• Spectroscopic footprints of quantum friction in nonreciprocal and chiral media
• Exact modes, hybridization and polarization rotation of electromagnetic fields propagating in topological insulating slab
• Topological magnetoelectric response in passive magnetic devices
• Theory of topological insulator waveguides: polarization control and the enhancement of the magneto-electric effect