Journal
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
Volume 144, Issue -, Pages 17-49Publisher
ELSEVIER
DOI: 10.1016/j.matpur.2020.08.007
Keywords
Subwavelength resonance; Subwavelength phononic and photonic crystals; Topological nanomaterials; Edge states
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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. (C) 2020 The Author(s). Published by Elsevier Masson SAS.
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