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Exceptional Points of PT-Symmetric Reflectionless States in Complex Scattering Systems

Clément Ferise, Philipp del Hougne, Simon Félix, Vincent Pagneux, and Matthieu Davy
Phys. Rev. Lett. 128, 203904 – Published 20 May 2022
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Abstract

We investigate experimentally and analytically the coalescence of reflectionless (RL) states in symmetric complex wave-scattering systems. We observe RL exceptional points (EPs), first with a conventional Fabry-Perot system for which the scattering strength within the system is tuned symmetrically and then with single- and multichannel symmetric disordered systems. We confirm that an EP of the parity-time (PT)-symmetric RL operator is obtained for two isolated quasinormal modes when the spacing between central frequencies is equal to the decay rate into incoming and outgoing channels. Finally, we leverage the transfer functions associated with RL and RL-EP states to implement first- and second-order analog differentiation.

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  • Received 28 October 2021
  • Accepted 19 April 2022

DOI:https://doi.org/10.1103/PhysRevLett.128.203904

© 2022 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

Clément Ferise1, Philipp del Hougne1, Simon Félix2, Vincent Pagneux2, and Matthieu Davy1,*

  • 1Univ Rennes, CNRS, IETR-UMR 6164, F-35000 Rennes, France
  • 2Laboratoire d’Acoustique de l’Université du Mans (LAUM), UMR 6613, Institut d’Acoustique - Graduate School (IA-GS), CNRS, Le Mans Université, France

  • *Corresponding author. matthieu.davy@univ-rennes1.fr

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Issue

Vol. 128, Iss. 20 — 20 May 2022

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