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

12 Citations (Scopus)


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
Issue number2
Publication statusPublished - 2021 Feb


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

ASJC Scopus subject areas

  • Applied Mathematics


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