Scattering by finite periodic $\mathcal{PT}$-symmetric structures
Optics
2017-12-20 v1
Abstract
In this work, we study the transmission properties of one dimensional finite periodic systems with -symmetry. A simple closed form expression is obtained for the total transmittance from a lattice of N cells, that allows us to describe the transmission minima (maxima) when the system is in the -unbroken (broken) phase. Utilizing this expression, we provide the necessary conditions, \textit{independent} of the number of cells, for the occurrence of a CPA-laser for any finite -symmetric periodic potential. Under this conditions, we provide a recipe for building finite periodic structures with near perfect absorption and extremely large amplification.
Keywords
Cite
@article{arxiv.1703.07428,
title = {Scattering by finite periodic $\mathcal{PT}$-symmetric structures},
author = {V. Achilleos and Y. Aurégan and V. Pagneux},
journal= {arXiv preprint arXiv:1703.07428},
year = {2017}
}