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Wave interaction with subwavelength resonators

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

(Report number 2020-66)

Abstract
The aim of this review is to cover recent developments in the mathematical analysis of subwavelength resonators. The use of sophisticated mathematics in the field of metamaterials is reported, which provides a mathematical framework for focusing, trapping, and guiding of waves at subwavelength scales. Throughout this review, the power of layer potential techniques combined with asymptotic analysis for solving challenging wave propagation problems at subwavelength scales is demonstrated.

Keywords: subwavelength resonances, metamaterials, topological properties

@Techreport{ADHLY20_939,
  author = {H. Ammari and B. Davies and E.O. Hiltunen and H. Lee and S. Yu},
  title = {Wave interaction with subwavelength resonators},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2020-66},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2020/2020-66.pdf },
  year = {2020}
}

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