Scattering by Finite Periodic PT-Symmetric Structures

V. Achilleos, Y. Aurégan, and V. Pagneux
Phys. Rev. Lett. 119, 243904 – Published 15 December 2017
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Abstract

In this work, we study the transmission properties of one-dimensional finite periodic systems with PT 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 PT-unbroken (broken) phase. Utilizing this expression, we provide the necessary conditions, independent of the number of cells, for the occurrence of a coherent perfect absorber and laser for any finite PT-symmetric periodic potential. Under these conditions, we provide a recipe for building finite periodic structures with near perfect absorption and extremely large amplification.

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  • Received 23 March 2017

DOI:https://doi.org/10.1103/PhysRevLett.119.243904

© 2017 American Physical Society

Physics Subject Headings (PhySH)

General PhysicsAtomic, Molecular & Optical

Authors & Affiliations

V. Achilleos, Y. Aurégan, and V. Pagneux

  • Laboratoire d’Acoustique de l’Université du Maine, UMR CNRS 6613 Av. O. Messiaen, F-72085 LE MANS Cedex 9, France

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Issue

Vol. 119, Iss. 24 — 15 December 2017

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