Bound states in the continuum and Fano resonances in subwavelength resonator arrays

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

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


When wave scattering systems are subject to certain symmetries, resonant states may decouple from the far-field continuum; they remain localized to the structure and cannot be excited by incident waves from the far field. In this work, we use layer-potential techniques to prove the existence of such states, known as bound states in the continuum, in systems of subwavelength resonators. When the symmetry is slightly broken, this resonant state can be excited from the far field. Remarkably, this may create asymmetric (Fano-type) scattering behavior where the transmission is fundamentally different for frequencies on either side of the resonant frequency. Using asymptotic analysis, we compute the scattering matrix of the system explicitly, thereby characterizing this Fano-type transmission anomaly.

Original languageEnglish
Article number101506
JournalJournal of Mathematical Physics
Issue number10
Publication statusPublished - 2021 Oct 1

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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