Research reports

Robust edge modes in dislocated systems of subwavelength resonators

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

(Report number 2020-09)

Abstract
Robustly manipulating waves on subwavelength scales can be achieved by, firstly, designing a structure with a subwavelength band gap and, secondly, introducing a defect so that localized modes fall within the band gap. We study a one-dimensional array of subwavelength resonators, prove that there is a subwavelength band gap, and show that by introducing a dislocation we can place localized modes at any point within the band gap. We complement this analysis by studying the stability properties of the corresponding finite array of resonators, demonstrating the value of being able to customize the position of eigenvalues within the band gap.

Keywords: subwavelength resonance, subwavelength phononic and photonic crystals, topological metamaterials, protected edge states, dislocation.

BibTeX
@Techreport{ADH20_882,
  author = {H. Ammari and B. Davies and E.O. Hiltunen},
  title = {Robust edge modes in dislocated systems of subwavelength resonators},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2020-09},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2020/2020-09.pdf },
  year = {2020}
}

Disclaimer
© Copyright for documents on this server remains with the authors. Copies of these documents made by electronic or mechanical means including information storage and retrieval systems, may only be employed for personal use. The administrators respectfully request that authors inform them when any paper is published to avoid copyright infringement. Note that unauthorised copying of copyright material is illegal and may lead to prosecution. Neither the administrators nor the Seminar for Applied Mathematics (SAM) accept any liability in this respect. The most recent version of a SAM report may differ in formatting and style from published journal version. Do reference the published version if possible (see SAM Publications).

JavaScript has been disabled in your browser