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NEWS

THESE : R. AKIKI – Surface phoxonique aléatoire

Le 30 novembre 2022.

Summary:

Au début des années 1990, une nouvelle discipline de la physique est apparue à travers l’étude des cristaux phononiques. Ce travail s’intéresse aux cristaux phononiques, cristaux artificiels dont les propriétés physiques peuvent être modulées par la nature et/ou la géométrie de leurs composants. Ces matériaux ont ainsi permis la manipulation et le contrôle des ondes élastiques avec des structurations d’inclusions dans l’ordre de grandeur de la longueur d’onde excitatrice. Avec les années 2000, les métamatériaux acoustiques ouvrent de nouvelles perspectives, basées sur le concept physique de milieu effectif aux grandes longueurs d’onde. L’origine des métamatériaux acoustique s’appuie alors sur le concept physique de la résonance propre des inclusions et offrent ainsi de nouvelles applications comme la réfraction négative, le cloaking ou l’hyperfocalisation. Ce travail est une première approche sur l’effet du désordre dans des métamatériaux acoustiques. Pour cela, nous étudions une structure de métamatériau acoustique formée de cylindres sur un substrat semi-infini. Les effets des matériaux et de la géométrie constitutifs des cylindres et de la surface sur les ondes acoustiques de surface seront étudiés. Nous étudions alors le couplage entre piliers et la possibilité de propagation le long d’une chaine. Nous mettons en évidence l’effet de couplage élastique entre piliers à partir du mode de compression et la possibilité de propagation et de contrôle des ondes acoustiques dans les milieux sub-longueur d’onde. L’étude est étendue à une surface à deux dimensions et une distribution périodique, hyperuniforme et aléatoire de la position des piliers.

Abstract:

In the early 1990s, a new discipline of physics appeared through the study of phononic crystals. This work focuses on phononic crystals, artificial crystals whose physical properties can be modulated by the nature and/or the geometry of their components. These materials have allowed the manipulation and control of elastic waves with inclusion structures in the order of magnitude of the exciting wavelength. With the 2000’s, acoustic metamaterials open new perspectives, based on the physical concept of effective medium at long wavelengths. The origin of acoustic metamaterials is based on the physical concept of the proper resonance of inclusions and thus offer new applications such as negative refraction, cloaking or hyperfocusing. This work is a first approach on the effect of disorder in acoustic metamaterials. For this purpose, we study an acoustic metamaterial structure formed by cylinders on a semi-infinite substrate. The effects of the constituent materials and geometry of the cylinders and the surface on the surface acoustic waves will be studied. We then study the coupling between pillars and the possibility of propagation along a chain. We highlight the effect of elastic coupling between pillars from the compression mode and the possibility of propagation and control of acoustic waves in sub-wavelength media. The study is extended to a two-dimensional surface and a periodic, hyperuniform and random distribution of the pillar positions.

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