Transmission properties of space-time modulated metamaterials

TL;DR

This paper demonstrates that space-time modulated metamaterials can support exponentially growing waves and introduces the first proof of k-gaps in their band structures, advancing understanding of wave control in such media.

Contribution

It provides the first rigorous proof of k-gaps in the band structures of space-time modulated systems of subwavelength resonators.

Findings

Exponential wave growth is achievable in space-time modulated media.

Existence of k-gaps in the band structure of these systems is proven.

Asymptotic analysis relates quasifrequencies to modulation amplitude.

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.