Topologically protected edge modes in one-dimensional chains of subwavelength resonators

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

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

The goal of this paper is to advance the development of wave-guiding subwavelength crystals by developing designs whose properties are stable with respect to imperfections in their construction. In particular, we make use of a locally resonant subwavelength structure, composed of a chain of high-contrast resonators, to trap waves at deep subwavelength scales. We first study an infinite chain of subwavelength resonator dimers and define topological quantities that capture the structure's wave transmission properties. Using this for guidance, we design a finite crystal that is shown to have wave localization properties, at subwavelength scales, that are robust with respect to random imperfections.

Original languageEnglish
Pages (from-to)17-49
Number of pages33
JournalJournal des Mathematiques Pures et Appliquees
Volume144
DOIs
Publication statusPublished - 2020 Dec

Keywords

  • Edge states
  • Subwavelength phononic and photonic crystals
  • Subwavelength resonance
  • Topological nanomaterials

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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