English

Transmission properties of space-time modulated metamaterials

Analysis of PDEs 2022-06-30 v1 Materials Science Mathematical Physics math.MP

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

Cite

@article{arxiv.2206.14690,
  title  = {Transmission properties of space-time modulated metamaterials},
  author = {Habib Ammari and Jinghao Cao and Xinmeng Zeng},
  journal= {arXiv preprint arXiv:2206.14690},
  year   = {2022}
}

Comments

22 pages, 8 figures. arXiv admin note: text overlap with arXiv:2109.07220