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 journalArticlepeer-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 languageEnglish
    Pages (from-to)440-462
    Number of pages23
    JournalStudies in Applied Mathematics
    Volume146
    Issue number2
    DOIs
    Publication statusPublished - 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

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