High-order exceptional points and enhanced sensing in subwavelength resonator arrays

Habib Ammari; Bryn Davies; Erik Orvehed Hiltunen; Hyundae Lee; Sanghyeon Yu

doi:10.1111/sapm.12349

High-order exceptional points and enhanced sensing in subwavelength resonator arrays

Habib Ammari, Bryn Davies, Erik Orvehed Hiltunen, Hyundae Lee, Sanghyeon Yu

Research output: Contribution to journal › Article › peer-review

20 Citations (Scopus)

Abstract

Systems exhibiting degeneracies known as exceptional points have remarkable properties with powerful applications, particularly in sensor design. These degeneracies are formed when eigenstates coincide, and the remarkable effects are exaggerated by increasing the order of the exceptional point (i.e., the number of coincident eigenstates). In this work, we use asymptotic techniques to study (Formula presented.) -symmetric arrays of many subwavelength resonators and search for high-order asymptotic exceptional points. This analysis reveals the range of different configurations that can give rise to such exceptional points and provides efficient techniques to compute them. We also show how systems exhibiting high-order exceptional points can be used for sensitivity enhancement.

Original language	English
Pages (from-to)	440-462
Number of pages	23
Journal	Studies in Applied Mathematics
Volume	146
Issue number	2
DOIs	https://doi.org/10.1111/sapm.12349
Publication status	Published - 2021 Feb

Bibliographical note

Funding Information:
The work of Hyundae Lee was supported by National Research Foundation of Korea grant NRF‐2018R1D1A1B07042678. The work of Sanghyeon Yu was supported by National Research Foundation of Korea grant NRF‐2020R1C1C1A01010882.

Publisher Copyright:
© 2020 Wiley Periodicals LLC

Keywords

PT symmetry
eigenvalue shift
enhanced sensing
high-order exceptional points
metamaterials
subwavelength resonance

ASJC Scopus subject areas

Applied Mathematics

Access to Document

10.1111/sapm.12349

Cite this

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abstract = "Systems exhibiting degeneracies known as exceptional points have remarkable properties with powerful applications, particularly in sensor design. These degeneracies are formed when eigenstates coincide, and the remarkable effects are exaggerated by increasing the order of the exceptional point (i.e., the number of coincident eigenstates). In this work, we use asymptotic techniques to study (Formula presented.) -symmetric arrays of many subwavelength resonators and search for high-order asymptotic exceptional points. This analysis reveals the range of different configurations that can give rise to such exceptional points and provides efficient techniques to compute them. We also show how systems exhibiting high-order exceptional points can be used for sensitivity enhancement.",

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AU - Yu, Sanghyeon

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High-order exceptional points and enhanced sensing in subwavelength resonator arrays

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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