LMA - Laboratoire de Mécanique et d’Acoustique

A. Coutant - Topologically protected modes in acoustic networks

Amphithéâtre François Canac, LMA

Le 18 janvier 2022 de 11h00 à 12h00

Antonin Coutant, CR LMA nouvel entrant

The hallmark of topological phases in periodic materials is the existence of localized modes on the edges, in addition to bulk waves predicted by the Bloch-Floquet theory. I will discuss the case of the Su-Schrieffer-Heeger model and its two-dimensional extension. These models can be exactly realised in acoustic using networks of waveguides. In the one-dimensional case, edge modes are found and localized near the ends of the system. In two dimensions, we will analyse the presence of edge waves propagating along a side of the system, but also modes localized in corners (higher order topological insulator). A key properties of these topological modes is their robustness to the presence of disorder. We will show theoretically and experimentally under what precise conditions their existence and eigenfrequency are maintained when introducing disorder.

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