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

by H. Ammari and B. Davies and E.O. Hiltunen and S. Yu

(Report number 2019-31)

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.

Keywords: subwavelength resonance, subwavelength phononic and photonic crystals, topological nanomaterials, edge states.

@Techreport{ADHY19_835,
  author = {H. Ammari and B. Davies and E.O. Hiltunen and S. Yu},
  title = {Topologically protected edge modes in one-dimensional chains of subwavelength resonators},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2019-31},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2019/2019-31.pdf },
  year = {2019}
}

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