Transverse confinement of ultrasound through the Anderson transition in 3D mesoglasses

Abstract

We report an in-depth investigation of the Anderson localization transition for classical waves in three dimensions (3D). Experimentally, we observe clear signatures of Anderson localization by measuring the transverse confinement of transmitted ultrasound through slab-shaped mesoglass samples. We compare our experimental data with predictions of the self-consistent theory of Anderson localization for an open medium with the same geometry as our samples. This model describes the transverse confinement of classical waves as a function of the localization (correlation) length, $\xi$ ($\zeta$), and is fitted to our experimental data to quantify the transverse spreading/confinement of ultrasound all of the way through the transition between diffusion and localization. Hence we are able to precisely identify the location of the mobility edges at which the Anderson transitions occur.

arXiv comment16 pages, 11 figures

References in corpus (22)

• Anderson Transitions
• Statistics of energy levels and eigenfunctions in disordered systems
• Localization of ultrasound in a three-dimensional elastic network
• Fluctuations of the local density of states probe localized surface plasmons on disordered metal films
• Critical exponent for the Anderson transition in the three dimensional orthogonal universality class
• Observation of multifractality in Anderson localization of ultrasound
• Dynamics of Anderson localization in open 3D media
• Red light for Anderson localization
• Can 3D light localization be reached in "white paint"?
• Position-dependent diffusion of light in disordered waveguides
• Recurrent scattering and memory effect at the Anderson localization transition
• Anderson localization as position-dependent diffusion in disordered waveguides
• Local diffusion theory of localized waves in open media
• Anderson mobility gap probed by dynamic coherent backscattering
• Microscopic derivation of self-consistent equations of Anderson localization in a disordered medium of finite size
• Supersymmetric field theory of local light diffusion in semi-infinite media
• Transverse confinement of waves in 3D random media
• Observation of infinite-range intensity correlations above, at and below the 3D Anderson localization transition
• Longitudinal optical fields in light scattering from dielectric spheres and Anderson localization of light
• Anderson transition for elastic waves in three dimensions
• Dynamic coherent backscattering of ultrasound in three-dimensional strongly-scattering media
• On applicability of inhomogeneous diffusion approach to localized transport through disordered waveguides

Cited by in corpus (12)

• Light transport through amorphous photonic materials with localization and bandgap regimes
• Intensity of waves inside a strongly disordered medium
• Anderson transition for light in three dimensions
• Suppression of transport anisotropy at the Anderson localization transition in three-dimensional anisotropic media
• Localized modes on a metasurface through multi-wave interactions
• Transport of light through a dense ensemble of cold atoms in a static electric field
• Diffusion of elastic waves in a continuum solid with a random array of pinned dislocations
• Anisotropy of localized states in an anisotropic disordered medium
• Critical properties of the optical field localization in a three-dimensional percolating system: Theory and experiment
• Modal complexity as a metric for Anderson localization
• Higher-order localization landscape theory of Anderson localization
• Critical Dynamics of the Anderson Transition on Small-World Graphs