Invisibility and PT-symmetry
Abstract
For a general complex scattering potential defined on a real line, we show that the equations governing invisibility of the potential are invariant under the combined action of parity and time-reversal (PT) transformation. We determine the PT-symmetric an well as non-PT-symmetric invisible configurations of an easily realizable exactly solvable model that consists of a two-layer planar slab consisting of optically active material. Our analysis shows that although PT-symmetry is neither necessary nor sufficient for the invisibility of a scattering potential, it plays an important role in the characterization of the invisible configurations. A byproduct of our investigation is the discovery of certain configurations of our model that are effectively reflectionless in a spectral range as wide as several hundred nanometers.
Cite
@article{arxiv.1206.0116,
title = {Invisibility and PT-symmetry},
author = {Ali Mostafazadeh},
journal= {arXiv preprint arXiv:1206.0116},
year = {2013}
}
Comments
11 pages, 3 figures, revised version, accepted for publication in Phys.Rev. A