title: One Single Static Measurement Predicts Wave Localization in Complex Structures.
abstract: A recent theoretical breakthrough has brought a new tool, called the localization landscape, for predicting the localization regions of vibration modes in complex or disordered systems. Here, we report on the first experiment which measures the localization landscape and demonstrates its predictive power. Holographic measurement of the static deformation under uniform load of a thin plate with complex geometry provides direct access to the landscape function. When put in vibration, this system shows modes precisely confined within the subregions delineated by the landscape function. Also the maxima of this function match the measured eigenfrequencies, while the minima of the valley network gives the frequencies at which modes become extended. This approach fully characterizes the low frequency spectrum of a complex structure from a single static measurement. It paves the way for controlling and engineering eigenmodes in any vibratory system, especially where a structural or microscopic description is not accessible.
authors: Institut Langevin, CNRS, ESPCI Paris, PSL Research University, CNRS, 1 rue Jussieu, F-75005 Paris, France.
authors: Gautier
authors: G
authors: Lefebvre
authors: Mines Paris-Tech, 60 Boulevard Saint-Michel, F-75006 Paris, France.
authors: Alexane
authors: A
authors: Gondel
authors: Institut Langevin, CNRS, ESPCI Paris, PSL Research University, CNRS, 1 rue Jussieu, F-75005 Paris, France.
authors: Marc
authors: M
authors: Dubois
authors: Institut Langevin, CNRS, ESPCI Paris, PSL Research University, CNRS, 1 rue Jussieu, F-75005 Paris, France.
authors: Michael
authors: M
authors: Atlan
authors: Physique de la Matière Condensée, Ecole Polytechnique, CNRS, 91128 Palaiseau, France.
authors: Florian
authors: F
authors: Feppon
authors: Physique de la Matière Condensée, Ecole Polytechnique, CNRS, 91128 Palaiseau, France.
authors: Aimé
authors: A
authors: Labbé
authors: Physique de la Matière Condensée, Ecole Polytechnique, CNRS, 91128 Palaiseau, France.
authors: Camille
authors: C
authors: Gillot
authors: Physique de la Matière Condensée, Ecole Polytechnique, CNRS, 91128 Palaiseau, France.
authors: Alix
authors: A
authors: Garelli
authors: Physique de la Matière Condensée, Ecole Polytechnique, CNRS, 91128 Palaiseau, France.
authors: Maxence
authors: M
authors: Ernoult
authors: School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455, USA.
authors: Svitlana
authors: S
authors: Mayboroda
authors: Physique de la Matière Condensée, Ecole Polytechnique, CNRS, 91128 Palaiseau, France.
authors: Marcel
authors: M
authors: Filoche
authors: Institut Langevin, CNRS, ESPCI Paris, PSL Research University, CNRS, 1 rue Jussieu, F-75005 Paris, France.|Department of Physics, The Jack and Pearl Resnick Institute for Advanced Technology, Bar-Ilan University, Ramat-Gan 5290002, Israel.
authors: Patrick
authors: P
authors: Sebbah