Contrôle des ondes de flexion dans les plaques

Abstract : Control of wave propagation in electromagnetics and acoustics experienced a large development these last years thanks to new complex media like photonic or phononic crystals and metamaterials. This work deals with the transfer of these complex media for the control of flexural waves in thin plates. These studies are the first steps towards the generalization of the control of elastic waves in structured solids. The beginning of the manuscript deals with flexural waves focusing with negative refraction using a square lattice of holes in a thin plate. The following of this work concern the time development of this negative refraction effect and shows that this system can beat the focusing diffraction limit. We introduce the blind hole or non-trough hole as a resonator for flexural wave. This resonator is the unit cell for the design and numerical study of a negative index metamaterial for flexural waves. A disordered arrangement of this resonator is used to study multiple scattering of flexural waves and Anderson localization effect. The second part of the manuscript introduces different alternative routes to control flexural wave propagation. We tackle the design and the experimental demonstration of a Maxwell fisheye lens for flexural waves. This setup comes from transformation optics theory and it is adapted to flexural waves by varying the plate thickness. We show that square plate with rigid boundary conditions can be used to reproduce the quantum revival effect for flexural waves. This effect characterized by the periodic reconstruction of an initial short pulse over time has been developed initially in quantum mechanics.
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Submitted on : Wednesday, October 15, 2014 - 12:21:52 PM
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  • HAL Id : tel-01074740, version 1

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Marc Dubois. Contrôle des ondes de flexion dans les plaques. Physique [physics]. Université Paris Diderot - Paris 7- Sorbonne Paris Cité, 2014. Français. ⟨tel-01074740⟩

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