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随机矩阵理论在复杂介质中的声学反向散射与成像中的应用。

Random matrix theory applied to acoustic backscattering and imaging in complex media.

作者信息

Aubry Alexandre, Derode Arnaud

机构信息

Laboratoire Ondes et Acoustique, ESPCI, Université Denis Diderot (Paris VII), CNRS (UMR 7587), 10 rue Vauquelin, 75005 Paris, France.

出版信息

Phys Rev Lett. 2009 Feb 27;102(8):084301. doi: 10.1103/PhysRevLett.102.084301. Epub 2009 Feb 26.

DOI:10.1103/PhysRevLett.102.084301
PMID:19257741
Abstract

The singular values distribution of the propagation operator in a random medium is investigated in a backscattering configuration. Experiments are carried out with pulsed ultrasonic waves around 3 MHz, using an array of transducers. Coherent backscattering and field correlations are taken into account. Interestingly, the distribution of singular values shows a dramatically different behavior in the single and multiple-scattering regimes. Based on a matrix separation of single and multiple-scattered waves, an experimental illustration of imaging through a highly scattering slab is presented.

摘要

在背散射配置下研究了随机介质中传播算子的奇异值分布。使用换能器阵列,以3MHz左右的脉冲超声波进行实验。考虑了相干背散射和场相关性。有趣的是,奇异值分布在单次散射和多次散射 regime 中表现出截然不同的行为。基于单次散射波和多次散射波的矩阵分离,给出了通过高散射平板成像的实验示例。

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