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Time-dependent high-contrast subwavelength resonators

by H. Ammari and E.O. Hiltunen

(Report number 2021-01)

Abstract
In the field of metamaterials, many intriguing phenomena arise from having a structure which is periodic in space. In time-dependent structures, conceptually similar properties can arise, which nevertheless have fundamentally different physical implications. In this work, we study time-dependent systems in the context of subwavelength metamaterials. The main result is a capacitance matrix characterization of the band structure, which generalizes previous recent work on static subwavelength metamaterials. Based on this characterization, we numerically compute the dispersion relationship of several time-dependent structures exhibiting interesting wave manipulation properties.

Keywords: time-dependent materials, subwavelength resonance, subwavelength phononic and photonic crystals.

@Techreport{AH21_943,
  author = {H. Ammari and E.O. Hiltunen},
  title = {Time-dependent high-contrast subwavelength resonators},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2021-01},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2021/2021-01.pdf },
  year = {2021}
}

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