Prediction of Wave Localization in 2D Disordered Vibrating Systems

Abstract

As a general physical phenomenon, localized waves have been studied in optics, electromagnetism, acoustics and many physical domains. Strong or Anderson localization and weakly localized waves have special attention in optics and in quantum mechanics, due to the disordered media, but also can be found in mechanical waves.In this seminar, I will present results about several systems displaying wave localization in the field of vibrations. When the localization is produced by complex boundary conditions, the landscape of localization theory allows to predict the position and frequency of the localized modes. Experimental results demonstrate that it is possible to obtain this information from a simple static deformation measurement, without knowing precisely the details of the geometry or physical properties [1,2]. Another way to stimulate localization is to create a dense assembly of scatterers, or use a quasi-periodical structure. We investigate localization properties of an elastic plate with closely disposed non-through holes, as resonating scatterers. The measurement of the wavefield in the full plate and the scatterers themselves reveals specific properties of the localized modes.