Waves in Highly Heterogeneous Media

R. Weaver
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Abstract

Recent time-domain ultrasonic and numerical experiments on classical waves in two-dimensional Anderson localizing random media are reviewed. It is shown that the transport, albeit weak, occurs on a time scale comparable to a diffusive time scale, and is not exponentially slow. The time scales of the transport over distances of several localization lengths are found to scale with the ≈2.46 power of source/receiver distance. It is also shown that absorption has no effect on the localization of the eigenmodes, though it can make the observation of that localization more difficult, especially if those observations are by means of measurements of steady state transmission.
高度非均质介质中的波
综述了近年来在二维安德森局部化随机介质中经典波的时域超声和数值实验。结果表明,输运虽然弱,但发生在与扩散时间尺度相当的时间尺度上,并且不是指数慢的。研究发现,在不同定位长度的距离上传输的时间尺度与源/接收距离的≈2.46次方成正比。还表明,吸收对本征模的局域化没有影响,尽管它可以使局域化的观测更加困难,特别是如果这些观测是通过测量稳态传输的方式进行的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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