Formation of Resonance State Exceptional Points in Two-Dimensional Periodic Structures

Research output: Chapters, Conference Papers, Creative and Literary Works (RGC: 12, 32, 41, 45)32_Refereed conference paper (with ISBN/ISSN)

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Detail(s)

Original languageEnglish
Title of host publication2019 IEEE International Conference on Computational Electromagnetics, ICCEM 2019 - Proceedings
PublisherIEEE
ISBN (Electronic)978-1-5386-7111-5
Publication statusPublished - Mar 2019

Conference

Title5th IEEE International Antennas and Propagation Society Topical Meeting on Computational Electromagnetics (ICCEM 2019)
LocationTongji University
PlaceChina
CityShanghai
Period20 - 22 March 2019

Abstract

In this paper, we present a theory on the formation of exceptional points (EPs) of resonance states in two-dimensional periodic structures. Exceptional points are spectral degeneracies that may occur in non-Hermitian systems for some values of the system parameters. At an EP, two or more eigenfunctions coalesce and their eigenvalues coincide. Due to the local behavior of the eigenvalues and eigenfunction at and near the EPs, they have found important applications in sensing, lasing, unidirectional operations, etc. In this work, we employ the Dirichlet-to-Neumann (DtN) maps and mode matching methods to study EPs of resonance states on two different periodic structures; namely, a slab with a periodic array of circular holes and a slab with two-segment piece-wise constant periodic permittivity. The study reveals that a family of EPs exist continuously as the periodic structures tend to a uniform slab. Furthermore, the EP path continues to exist below the light line and eventually ends at a point that can be accurately determined.

Research Area(s)

  • exceptional points, periodic structures

Citation Format(s)

Formation of Resonance State Exceptional Points in Two-Dimensional Periodic Structures. / Abdrabou, Amgad; Lu, Ya Yan.

2019 IEEE International Conference on Computational Electromagnetics, ICCEM 2019 - Proceedings. IEEE, 2019. 8779024.

Research output: Chapters, Conference Papers, Creative and Literary Works (RGC: 12, 32, 41, 45)32_Refereed conference paper (with ISBN/ISSN)