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Transmission properties of space-time modulated metamaterials

by H. Ammari and J. Cao and X. Zeng

(Report number 2022-31)

Abstract
We prove the possibility of achieving exponentially growing wave propagation in space-time modulated media and give an asymptotic analysis of the quasifrequencies in terms of the amplitude of the time modulation at the degenerate points of the folded band structure. Our analysis provides the first proof of existence of k-gaps in the band structures of space-time modulated systems of subwavelength resonators.

Keywords: wave manipulation at subwavelength scales, unidirectional wave, subwavelength quasifrequency, space-time modulated medium, metamaterial, non-reciprocal band gaps, k-gaps

@Techreport{ACZ22_1019,
  author = {H. Ammari and J. Cao and X. Zeng},
  title = {Transmission properties of space-time modulated metamaterials},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2022-31},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2022/2022-31.pdf },
  year = {2022}
}

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