Abstract

A ``pseudosphere'' approximation is introduced to describe quantitatively the localization of acoustic and optic waves. The localization length \ensuremath{\xi} is obtained in terms of experimentally accessible parameters (scatterer density and size, speed of sound or light, frequency). For d=3 it is predicted that acoustic Anderson localization will not be observed unless the scatterers are more efficitent than hard spheres. A phase diagram for the optic problem is obtained; it suggests the sudden onset of localization at moderate values of the scatterer density.

Keywords

ObservabilityPhysicsAnderson localizationSPHERESPhase diagramPhase (matter)AcousticsAcoustic waveOpticsComputational physicsQuantum mechanicsMathematics

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Publication Info

Year
1987
Type
article
Volume
58
Issue
3
Pages
226-229
Citations
71
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C. A. Condat, T. R. Kirkpatrick (1987). Observability of acoustical and optical localization. Physical Review Letters , 58 (3) , 226-229. https://doi.org/10.1103/physrevlett.58.226

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DOI
10.1103/physrevlett.58.226