Abstract
Electromagnetic reciprocity is studied in the presence of topological insulators (TI) with application of axion electrodynamics for harmonic electromagnetic fields. The corresponding generalized Lorentz and Feld-Tai type lemmas are derived in terms of the axion coupling parameter, and their correlation to the conditional symmetry in source-observer coordinates for the various Green dyadics is established subjected to different types of boundary conditions. Possible application of the results to the probing of the topological magneto-electric effects from TI is discussed.
Highlights
Reciprocity in wave propagation refers to the symmetry in the interchange of the source and the observer, and is an important concept in both classical and quantum physics concerning the transmission of acoustic, electromagnetic, and matter waves
We have extended the usual mathematical formulation for electromagnetic reciprocity to the case when topological insulators are present
We have demonstrated the validity of reciprocal symmetry in the presence of a topological insulators (TI) with constant axion coupling and finite extent subjected to the appropriate boundary conditions of the electric and magnetic dyadic Green’s functions, consistent with previous literature which has considered such TI’s under electro-magneto-statics condition [18, 19]
Summary
Reciprocity in wave propagation refers to the symmetry in the interchange of the source and the observer, and is an important concept in both classical and quantum physics concerning the transmission of acoustic, electromagnetic, and matter waves. The possible breakdown of this symmetry in both classical electromagnetic waves [3] and quantum matter waves [4] have recently received much attention among researchers in the field Such breakdown can lead to applications in device design such as optical isolators and one-way quantum tunneling processes, for example. We are motivated in the present work to extend the conventional study of reciprocity in wave propagation to situations with the presence of TI, via the application of axion electrodynamics (AED) to this system
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