CE51 - Sciences de l’ingénierie et des procédés

Waveguiding by disorder induced topological metamaterials – WaDiToMe

Submission summary

The possibility of architecturing composite materials to obtain new mechanical properties has lead to the field of metamaterials, which opened numerous research directions and routes for real life applications. In the context of acoustics, designing a microstructure allows us to control the propagation of waves in various ways. A compelling way to do so is to pick a pattern and repeat it periodically. The obtained structure, called a ``phononic crystals'' has the ability to stop certain frequencies and directions. This can be utilize to guide waves to targeted location or along specific paths. In the last decade, a powerful new tool has been added to the design of phononic crystals: that of topological waves. Originating from the physics of conductors and insulators, this allows one to guide waves across fabrication defects without losing energy from partial reflection.

The objective of this research proposal is to design new types of waveguides based on a combination of topology and disorder. One of the limitations of acoustic topological insulators is that the analogy with the physics of metal is only approximate. Hence, the robustness to the presence of defect is also. Here, the idea is to conceive structures with topological properties not despite the presence of disorder, but induced by it. This will lead to exceptionally robust wave guiding, since a defect in an otherwise disordered medium is essentially invisible. We will explore two directions, based on analogies with two solid state physics phenomena. The first is the Topological Anderson insulator, where waves propagate at the interface between two phononic crystals with disorder added. The second one is the anti-localization effect in honeycomb lattices such that adding disorder increases the wave transmission. The first part of the project is the theoretical modelling and design of acoustical metamaterials displaying these effects, and the second part will consist in their experimental implementation.

Project coordination

Antonin COUTANT (Laboratoire de mécanique et d'acoustique)

The author of this summary is the project coordinator, who is responsible for the content of this summary. The ANR declines any responsibility as for its contents.

Partner

LMA Laboratoire de mécanique et d'acoustique

Help of the ANR 304,584 euros
Beginning and duration of the scientific project: December 2023 - 48 Months

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