One Single Static Measurement Predicts Wave Localization in Complex Structures

Gautier Lefebvre (1) , Alexane Gondel (2) , Marc Dubois (1) , Michael Atlan (1) , Florian Feppon (3) , Aimé Labbé (3) , Camille Gillot (3) , Alix Garelli (3) , Maxence Ernoult (3) , Svitlana Mayboroda (4) , Marcel Filoche (3) , Patrick Sebbah (1, 5)

1 IL - Institut Langevin - Ondes et Images (UMR7587)
2 Mines Paris - PSL (École nationale supérieure des mines de Paris)
3 LPMC - Laboratoire de physique de la matière condensée
4 UMN-MATH - School of Mathematics
5 The Jack and Pearl Resnick Institute for Advanced Technology

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.

Keywords: Acoustic wave phenomena; Localization; Physical Systems; Random & disordered media; General Physics

Domains: Physics [physics]

Gautier Lefebvre, Alexane Gondel, Marc Dubois, Michael Atlan, Florian Feppon, et al.. One Single Static Measurement Predicts Wave Localization in Complex Structures. Physical Review Letters, 2016, 117 (7), ⟨10.1103/PhysRevLett.117.074301⟩. ⟨hal-02145630⟩