运动随机介质中波的传播与成像
Wave propagation and imaging in moving random media
摘要：
本文研究了声波在不定常随机介质中的传播及其在成像中的应用。介质由波速度和密度的小的时间和空间随机波动来模拟，并且由于环境流而移动。我们开发了一个传输理论的能量密度的波，在前向散射制度，在一个锥（束）的传播与小的开口角。我们应用传输理论的逆问题，估计一个固定的波源在一个远程阵列的接收器的测量。该估计需要环境流的平均速度和随机介质的二阶顺序统计量的知识。如果这些都是未知的，我们展示了他们如何可能是估计从额外的测量收集在阵列中，使用一些已知的来源。我们还展示了如何运输理论可以用来估计介质的平均速度。如果阵列具有大孔径，并且在随机介质中的散射是强的，则该估计不依赖于随机介质的统计知识。
英文摘要：
We present a study of sound wave propagation in a time dependent random medium and an application to imaging. The medium is modeled by small temporal and spatial random fluctuations in the wave speed and density, and it moves due to an ambient flow. We develop a transport theory for the energy density of the waves, in a forward scattering regime, within a cone (beam) of propagation with small opening angle. We apply the transport theory to the inverse problem of estimating a stationary wave source from measurements at a remote array of receivers. The estimation requires knowledge of the mean velocity of the ambient flow and the second-order statistics of the random medium. If these are not known, we show how they may be estimated from additional measurements gathered at the array, using a few known sources. We also show how the transport theory can be used to estimate the mean velocity of the medium. If the array has large aperture and the scattering in the random medium is strong, this estimate does not depend on the knowledge of the statistics of the random medium.
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