Exceptional points of degeneracy and PT symmetry in photonic coupled chains of scatterers

Mohamed A. K. Othman, Vincenzo Galdi, and Filippo Capolino
Phys. Rev. B 95, 104305 – Published 17 March 2017

Abstract

We demonstrate the existence of exceptional points of degeneracy (EPDs) of periodic eigenstates in non-Hermitian coupled chains of dipolar scatterers. Guided modes supported by these structures can exhibit an EPD in their dispersion diagram at which two or more Bloch eigenstates coalesce, in both their eigenvectors and eigenvalues. We show the emergence of a second-order modal EPD associated with the parity-time (PT) symmetry condition, at which each particle pair in the double chain exhibits balanced gain and loss. Furthermore, we also demonstrate a fourth-order EPD occurring at the band edge. Such a degeneracy condition was previously referred to as a degenerate band edge in lossless anisotropic photonic crystals. Here, we rigorously show it under the occurrence of gain and loss balance for a discrete guiding system. We identify a more general regime of gain and loss balance showing that PT symmetry is not necessary to attain EPDs. Moreover, we investigate the degree of detuning of the EPD when the geometrical symmetry or balanced condition is broken. Furthermore, we demonstrate a realistic implementation of the EPD in a coupled chain made of pairs of plasmonic nanospheres and active core-shell nanospheres at optical frequencies. These findings open avenues toward superior light localization and transport with application to high-Q resonators utilized in sensors, filters, low-threshold switching and lasing.

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  • Received 11 October 2016
  • Revised 7 February 2017

DOI:https://doi.org/10.1103/PhysRevB.95.104305

©2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Mohamed A. K. Othman1, Vincenzo Galdi2, and Filippo Capolino1

  • 1Department of Electrical Engineering and Computer Science, University of California, Irvine, Irvine, California 92697, USA
  • 2Waves Group, Department of Engineering, University of Sannio, I-82100 Benevento, Italy

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Issue

Vol. 95, Iss. 10 — 1 March 2017

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