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

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.

28 pages, 9 figures. Minor edits of v1

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Cited by in corpus (7)

• Mathematical theory for topological photonic materials in one dimension
• Functional analytic methods for discrete approximations of subwavelength resonator systems
• Bulk-interface correspondences for one dimensional topological materials with inversion symmetry
• Transmission properties of time-dependent one-dimensional metamaterials
• Double Dirac cones in band structures of periodic Schrödinger operators
• Bound states in the continuum and Fano resonances in subwavelength resonator arrays
• High-order exceptional points and enhanced sensing in subwavelength resonator arrays