Floquet topological photonic crystals with temporally modulated media

Wang, Yao‐Ting; Tsai, Ya-Wen; Gao, Wenlong

doi:10.1364/oe.395504

Cited by 11 publications

(1 citation statement)

References 28 publications

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“…Research on Floquet metamaterials (or time-modulated metamaterials) aims to explore new phenomena arising from the temporal modulation of the material parameters of the structure. It has enabled to open new paradigms for the manipulation of wave-matter interactions in both spatial and temporal domains [5,19,23,25,26,31,34,39,[39][40][41]. To the best of our knowledge, the mathematical analysis of wave propagation properties of Floquet metamaterials has been just started.…”

Section: Motivation and Introductionmentioning

confidence: 99%

Topological phenomena in honeycomb Floquet metamaterials

Ammari

Kosche

2023

Math. Ann.

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Being driven by the goal of finding edge modes and of explaining the occurrence of edge modes in the case of time-modulated metamaterials in the high-contrast and subwavelength regime, we analyse the topological properties of Floquet normal forms of periodically parameterized time-periodic linear ordinary differential equations $$\left\{ \frac{d}{dt}X = A_\alpha (t)X\right\} _{\alpha \in {\mathbb {T}}^d}$$ d dt X = A α ( t ) X α ∈ T d . In fact, our main goal being the question whether an analogous principle as the bulk-boundary correspondence of solid-state physics is possible in the case of Floquet metamaterials, i.e., subwavelength high-contrast time-modulated metamaterials. This paper is a first step in that direction. Since the bulk-boundary correspondence states that topological properties of the bulk materials characterize the occurrence of edge modes, we dedicate this paper to the topological analysis of subwavelength solutions in Floquet metamaterials. This work should thus be considered as a basis for further investigation on whether topological properties of the bulk materials are linked to the occurrence of edge modes. The subwavelength solutions being described by a periodically parameterized time-periodic linear ordinary differential equation $$\left\{ \frac{d}{dt}X = A_\alpha (t)X\right\} _{\alpha \in {\mathbb {T}}^d}$$ d dt X = A α ( t ) X α ∈ T d , we put ourselves in the general setting of periodically parameterized time-periodic linear ordinary differential equations and introduce a way to (topologically) classify a Floquet normal form F, P of the associated fundamental solution $$\left\{ X_\alpha (t) = P(\alpha ,t)\exp (tF_\alpha )\right\} _{\alpha \in {\mathbb {T}}^d}$$ X α ( t ) = P ( α , t ) exp ( t F α ) α ∈ T d . This is achieved by analysing the topological properties of the eigenvalues and eigenvectors of the monodromy matrix $$X_\alpha (T)$$ X α ( T ) and the Lyapunov transformation $$P(\alpha ,t)$$ P ( α , t ) . The corresponding topological invariants can then be applied to the setting of Floquet metamaterials. In this paper these general results are considered in the case of a hexagonal structure. We provide two interesting examples of topologically non-trivial time-modulated hexagonal structures.

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Section: Motivation and Introductionmentioning

confidence: 99%

Topological phenomena in honeycomb Floquet metamaterials

Ammari

Kosche

2023

Math. Ann.

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Non-reciprocal wave propagation in time-modulated elastic lattices with inerters

Karličić

Cajić

Paunović

et al. 2023

Applied Mathematical Modelling

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Spinning spoof surface plasmons and their topological responses

Tsai,

Wang,

Yen

2024

Applied Physics Letters

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Spoof surface plasmons (SSPs) mimic characteristics of optical surface plasmons in microwave and terahertz frequencies. Manipulating SSPs has attracted widespread attention for extending plasmon applications into the low-frequency range. In this Letter, we show that spinning SSPs can be excited on a twisted groove (TG) metallic cylinder by oblique incident waves. The incident angle of waves and the twist angle of the grooves play essential roles in manipulating the propagation orientation and the rotation direction of spinning SSPs (SSSPs). Finally, we discuss an application of the SSSPs in topological photonic systems. By periodically arranging the TG cylinders, we show that this spinning feature will lead to topologically non-trivial bands in such a photonic crystal, where the topologically protected edge modes arise near the boundary.

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Floquet topological photonic crystals with temporally modulated media

Cited by 11 publications

References 28 publications

Topological phenomena in honeycomb Floquet metamaterials

Topological phenomena in honeycomb Floquet metamaterials

Non-reciprocal wave propagation in time-modulated elastic lattices with inerters

Spinning spoof surface plasmons and their topological responses

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